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onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()" onkeypress=3D"_KPH()"> <div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px; width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%= , 101%, 101%, 0%); visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#5F5F5F,#006666,#33CCCC,#99CCCC,#006666,#B2B2B2" masterhref=3D"master06.xml"> <p:shaperange href=3D"master06.xml#_x0000_s6145"/><![if !ppt]><p:shaperange href=3D"master06.xml#_x0000_s6146"/><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s6146,_x0000_s6147,_x0000_s6148,_x0000_s6149" src=3D"master06_image002.gif" style=3D'position:absolute;top:4.0%;left:0%; width:95.5%;height:48.0%'><![endif]><p:shaperange href=3D"master06.xml#_x0000_s6152"/> <div dir=3DLTR v:shape=3D"_x0000_s6152" class=3DO style=3D'text-align:left= ;direction: ltr;position:absolute;top:94.5%;left:5.99%;width:21.53%;height:3.0%'><span lang=3DHE style=3D'font-family:Arial;mso-ascii-font-family:Verdana;mso-bid= i-font-family: Arial;font-size:67%;mso-field-code:meta0' dir=3Drtl>5/15/03</span><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:67%;mso-special-format:lastCR;display:none'> </span></div> <p:shaperange href=3D"master06.xml#_x0000_s6154"/> <div v:shape=3D"_x0000_s6154" class=3DO> <div dir=3DLTR style=3D'direction:ltr;position:absolute;top:94.5%;left:72.= 65%; width:21.53%;height:3.0%'><span lang=3DAR-SA style=3D'font-family:Arial; mso-ascii-font-family:Verdana;mso-bidi-font-family:Arial;font-size:67%; mso-field-code:meta16' dir=3Drtl><span dir=3Dltr></span>28</span><span style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;font-size:67%; mso-special-format:lastCR;display:none'> </span></div> </div> <![endif]><p:shaperange href=3D"master06.xml#_x0000_m6150"/><v:shape id=3D= "_x0000_s109570" type=3D"#_x0000_m6150" style=3D'position:absolute;left:107.875pt;top:23.7= 5pt; width:575.875pt;height:90pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master06.xml#_x0000_m6151"/><v:shape id=3D"_x0000_s109571" type= =3D"#_x0000_m6151" style=3D'position:absolute;left:107.875pt;top:143.875pt;width:592.375pt; height:324pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DRTL v:shape=3D"_x0000_s109570" class=3DT style=3D'position:abso= lute; top:13.25%;left:15.91%;width:78.08%;height:7.25%'><span lang=3DEN-US style=3D'font-size:94%' dir=3Dltr>Extensions</span></div> <div v:shape=3D"_x0000_s109571"> <div class=3DB1 style=3D'mso-margin-left-alt:540'></div> <div class=3DB2 style=3D'mso-margin-left-alt:816'></div> <div class=3DB3 style=3D'mso-margin-left-alt:1068'></div> <div class=3DB4 style=3D'mso-margin-left-alt:1356'></div> <div dir=3DLTR class=3DB style=3D'text-align:left;mso-margin-left-alt:300; direction:ltr;position:absolute;top:27.25%;left:15.91%;width:84.64%; height:5.75%'><span style=3D'position:absolute;top:0%;left:6.19%;width:94.= 02%; height:100.0%'><span style=3D'font-size:83%'><span style=3D'mso-special-fo= rmat: "numbullet3\,1";color:#006666;mso-color-index:3;position:absolute;left:-6.= 58%'>1.</span></span><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:83%'>Learning how to play (unknown model)</span><span lang=3DEN-= US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;font-size:69%; display:none'> </span></span></div> <div dir=3DLTR class=3DB style=3D'text-align:left;mso-margin-left-alt:300; direction:ltr;position:absolute;top:33.75%;left:15.91%;width:80.52%; height:5.75%'><span style=3D'position:absolute;top:0%;left:6.51%;width:93.= 48%; height:100.0%'><span style=3D'font-size:83%'><span style=3D'mso-special-fo= rmat: "numbullet3\,1";color:#006666;mso-color-index:3;position:absolute;left:-6.= 96%'>2.</span></span><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:83%'>Unobserved / delayed reward</span><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;font-size:69%; display:none'> </span></span></div> <div dir=3DLTR class=3DB style=3D'text-align:left;mso-margin-left-alt:300; direction:ltr;position:absolute;top:40.0%;left:15.91%;width:80.52%;height: 5.75%'><span style=3D'position:absolute;top:0%;left:6.51%;width:93.48%; height:100.0%'><span style=3D'font-size:83%'><span style=3D'mso-special-fo= rmat: "numbullet3\,1";color:#006666;mso-color-index:3;position:absolute;left:-6.= 96%'>3.</span></span><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:83%'>Partial observation of state </span></span></div> <div dir=3DLTR class=3DB style=3D'text-align:left;mso-margin-left-alt:300; direction:ltr;position:absolute;top:46.5%;left:15.91%;width:80.52%;height: 5.75%'><span style=3D'position:absolute;top:0%;left:6.51%;width:93.48%; height:100.0%'><span style=3D'font-size:83%'><span style=3D'mso-special-fo= rmat: "numbullet3\,1";color:#006666;mso-color-index:3;position:absolute;left:-6.= 96%'>4.</span></span><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:83%'>A Reinforcement Learning approach </span></span></div> <div dir=3DLTR class=3DB style=3D'text-align:left;mso-margin-left-alt:300; direction:ltr'><span style=3D'position:absolute;top:52.75%;left:21.16%; width:81.08%;height:5.75%'><span style=3D'font-size:83%'><span style=3D'ms= o-special-format: "numbullet3\,1";color:#006666;mso-color-index:3;position:absolute;left:-6.= 46%'>5.</span></span><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:83%'>Applications in control/communications: </span></span><span style=3D'position:absolute;top:58.25%;left:21.16%;width:80.14%;height:4.75= %'><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:69%'>UAVs, Semi cooperative control in robot teams; </span></spa= n><span style=3D'position:absolute;top:62.5%;left:21.16%;width:85.95%;height:4.75%= '><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:69%'>Cellular networks; Markets; Storage networks, etc. </sp= an></span></div> <div dir=3DRTL class=3DB style=3D'mso-margin-left-alt:300;position:absolut= e; top:68.0%;left:15.91%;width:80.52%;height:5.75%'><span style=3D'position:a= bsolute; top:0%;left:0%;width:93.48%;height:100.0%'><span style=3D'font-size:83%; visibility:hidden'><span style=3D'mso-special-format:bullet;color:#006666; mso-color-index:3;position:absolute;right:-6.96%;font-family:Wingdings; font-size:70%'>¡</span></span><span lang=3DEN-US style=3D'font-famil= y:Verdana; 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o:forcedash=3D"t"/> <v:shadow color=3D"gray [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <v:textbox inset=3D"2.63475mm,1.3174mm,2.63475mm,1.3174mm"/> <p:placeholder type=3D"body" position=3D"3" size=3D"quarter"/></v:shapetyp= e> <div v:shape=3D"_x0000_m8197"> <div dir=3DRTL class=3DN><span lang=3DEN-US dir=3Dltr>Click to edit Master = text styles </span></div> <div dir=3DRTL class=3DN1><span lang=3DEN-US dir=3Dltr>Second level </s= pan></div> <div dir=3DRTL class=3DN2><span lang=3DEN-US dir=3Dltr>Third level </sp= an></div> <div dir=3DRTL class=3DN3><span lang=3DEN-US dir=3Dltr>Fourth level </s= pan></div> <div dir=3DRTL class=3DN4><span lang=3DEN-US dir=3Dltr>Fifth level</span></= div> </div> <v:shapetype id=3D"_x0000_s8198" style=3D'position:absolute;left:319pt;top:= 706.625pt; width:244pt;height:37.25pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" = 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al-format: lastCR' dir=3Drtl> </span></div> </div> <v:shapetype id=3D"_x0000_s8199" style=3D'position:absolute;left:.125pt;top= :706.625pt; width:244pt;height:37.25pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" = fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"gray [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <v:textbox inset=3D"2.63475mm,1.3174mm,2.63475mm,1.3174mm"/> <p:placeholder type=3D"slideNumber" position=3D"5" size=3D"quarter"/></v:s= hapetype> <div v:shape=3D"_x0000_s8199" style=3D'tab-interval:1.0364in'> <div class=3DO1 style=3D'mso-margin-left-alt:299;mso-text-indent-alt:299'><= /div> <div class=3DO2 style=3D'mso-margin-left-alt:597;mso-text-indent-alt:597'><= /div> <div class=3DO3 style=3D'mso-margin-left-alt:896;mso-text-indent-alt:896'><= /div> <div class=3DO4 style=3D'mso-margin-left-alt:1195;mso-text-indent-alt:1195'= ></div> <div dir=3DRTL class=3DO style=3D'text-align:left'><span lang=3DAR-SA style= =3D'font-family: Arial;mso-bidi-font-family:Arial;font-size:67%;mso-field-code:meta16'≯= 9;#›</span><span style=3D'font-size:67%;mso-special-format:lastCR' dir=3Drtl> </span></d= iv> </div> <p:notes id=3D"7" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"65"/> </o:shapelayout><v:shape id=3D"_x0000_s66562" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s6656= 3" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s66563" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US>When a player sits down – expertise unknown</span></div> </p:notes><p:notes id=3D"38" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"100"/> </o:shapelayout><v:shape id=3D"_x0000_s102402" type=3D"#_x0000_m8196" styl= e=3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s1024= 03" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s102403" class=3DN style=3D'text-align:le= ft; direction:ltr'><span lang=3DEN-US>Start with some definitions</span></div> </p:notes><p:notes id=3D"10" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"66"/> </o:shapelayout><v:shape id=3D"_x0000_s67586" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s6758= 7" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s67587" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US>Arbitrary varying Markov processes</span= ></div> </p:notes><p:notes id=3D"11" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"72"/> </o:shapelayout><v:shape id=3D"_x0000_s73730" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s7373= 1" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s73731" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US style=3D'mso-special-format:lastCR'> = ;</span></div> </p:notes><p:notes id=3D"12" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"73"/> </o:shapelayout><v:shape id=3D"_x0000_s74754" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s7475= 5" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s74755" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US style=3D'mso-special-format:lastCR'> = ;</span></div> </p:notes><p:notes id=3D"14" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"74"/> </o:shapelayout><v:shape id=3D"_x0000_s75778" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s7577= 9" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s75779" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US>Space </span></div> </p:notes><p:notes id=3D"15" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"75"/> </o:shapelayout><v:shape id=3D"_x0000_s76802" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s7680= 3" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s76803" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US>title</span></div> </p:notes><p:notes id=3D"16" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"76"/> </o:shapelayout><v:shape id=3D"_x0000_s77826" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s7782= 7" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s77827" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US>title</span></div> </p:notes><p:notes id=3D"17" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"77"/> </o:shapelayout><v:shape id=3D"_x0000_s78850" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s7885= 1" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s78851" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US>fix</span></div> </p:notes><p:notes id=3D"18" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"111"/> </o:shapelayout><v:shape id=3D"_x0000_s113666" type=3D"#_x0000_m8196" styl= e=3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s1136= 67" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s113667" class=3DN style=3D'text-align:le= ft; direction:ltr'><span lang=3DEN-US>Cluttered?</span></div> </p:notes><p:notes id=3D"40" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"112"/> </o:shapelayout><v:shape id=3D"_x0000_s114690" type=3D"#_x0000_m8196" styl= e=3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s1146= 91" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s114691" class=3DN style=3D'text-align:le= ft; direction:ltr'><span lang=3DEN-US>How to complete the proof</span></div> </p:notes><p:notes id=3D"23" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"89"/> </o:shapelayout><v:shape id=3D"_x0000_s91138" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s9113= 9" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s91139" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US>Possibly remove, mention stock market?</= span></div> </p:notes><p:notes id=3D"24" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"106"/> </o:shapelayout><v:shape id=3D"_x0000_s108546" type=3D"#_x0000_m8196" styl= e=3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s1085= 47" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s108547" class=3DN style=3D'text-align:le= ft; direction:ltr'><span lang=3DEN-US>Ignoring state-dependence</span></div> </p:notes><p:notes id=3D"29" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"79"/> </o:shapelayout><v:shape id=3D"_x0000_s80898" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s8089= 9" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s80899" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US style=3D'mso-special-format:lastCR'> = ;</span></div> </p:notes><p:notes id=3D"41" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"105"/> </o:shapelayout><v:shape id=3D"_x0000_s107522" type=3D"#_x0000_m8196" styl= e=3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s1075= 23" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s107523" class=3DN style=3D'text-align:le= ft; direction:ltr'><span lang=3DEN-US>Fix axis in graph (!)</span></div> </p:notes> </body> </html> 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Content-Location: file:///C:/D928290E/AdaptationGen_files/script.js Content-Transfer-Encoding: quoted-printable Content-Type: application/javascript; charset="us-ascii" function LoadSld() { var sld=3DGetObj("SlideObj") if( !g_supportsPPTHTML ) { sld.style.visibility=3D"visible" return } if( MakeNotesVis() ) return runAnimations =3D _InitAnimations(); if( IsWin("PPTSld") ) parent.SldUpdated(GetSldId()) g_origSz=3DparseInt(SlideObj.style.fontSize) g_origH=3Dsld.style.posHeight g_origW=3Dsld.style.posWidth g_scaleHyperlinks=3D(document.all.tags("AREA").length>0) if( g_scaleHyperlinks ) InitHLinkArray() if( g_scaleInFrame||(IsWin("PPTSld") && parent.IsFullScrMode() ) ) document.body.scroll=3D"no" _RSW() if( IsWin("PPTSld") && parent.IsFullScrMode() ) FullScrInit(); =09 MakeSldVis(); ChkAutoAdv() if( runAnimations ) { if( document.all("NSPlay") ) document.all("NSPlay").autoStart =3D false; if( sld.filters && sld.filters.revealtrans ) setTimeout( "document.body.start()", sld.filters.revealtrans.duration * = 1000 ); else document.body.start(); } } function MakeSldVis() { var fTrans=3Dg_showAnimation && SldHasTrans() if( fTrans ) { if( g_bgSound ) { idx=3Dg_bgSound.indexOf(","); pptSound.src=3Dg_bgSound.substr( 0, idx ); pptSound.loop=3D -(parseInt(g_bgSound.substr(idx+1))); } SlideObj.filters.revealtrans.Apply() } SlideObj.style.visibility=3D"visible" if( fTrans ) SlideObj.filters.revealtrans.Play() } function MakeNotesVis() { if( !IsNts() ) return false SlideObj.style.display=3D"none" nObj =3D document.all.item("NotesObj") parent.SetHasNts(0) if( nObj ) { nObj.style.display=3D"" parent.SetHasNts(1) } return 1 } function ChkAutoAdv() { if(SldHasTrans()) SlideObj.onfilterchange=3DAutoAdv else AutoAdv() } function AutoAdv() { if(!IsWin("PPTSld") || !gUseSldTimings )return var sld=3DGetCurSld() if( (sld.mAdvDelay>0) && !parent.IsFramesMode() ) setTimeout("parent.GoToNextSld()",sld.mAdvDelay) } function GetObj(id) { if(g_supportsPPTHTML) return document.all(id); else return document.getElementById(id); } function SldHasTrans() { return SlideObj.style.getAttribute("filter")!=3D""= } function GetSldId() { return sId=3Dlocation.href.substring(location.href.la= stIndexOf('/')+1) } function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx= tmenu") && PPTSld.ctxtmenu.style.display!=3D"none" ) { PPTSld.ctxtmenu.styl= e.display=3D'none'; return true } return false } function IsWin( name ) { return window.name =3D=3D name } function IsNts() { return IsWin("PPTNts") } function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) } function SupportsPPTAnimation() { return( navigator.platform =3D=3D "Win32"= && navigator.appVersion.indexOf("Windows")>0 ) } function SupportsPPTHTML() { var appVer=3Dnavigator.appVersion, msie=3DappVer.indexOf("MSIE "), ver=3D0 if( msie >=3D 0 ) ver=3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) ) else ver=3DparseInt(appVer) return( ver >=3D 4 && msie >=3D 0 ) } function _RSW() { if( !g_supportsPPTHTML || IsNts() || ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) ) return var padding=3D0; if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=3D6 cltWidth=3Ddocument.body.clientWidth-padding cltHeight=3Ddocument.body.clientHeight-padding factor=3D(1.0*cltWidth)/g_origW if( cltHeight < g_origH*factor ) factor=3D(1.0*cltHeight)/g_origH newSize =3D g_origSz * factor if( newSize < 1 ) newSize=3D1 s=3DSlideObj.style s.fontSize=3DnewSize+"px" s.posWidth=3Dg_origW*factor s.posHeight=3Dg_origH*factor s.posLeft=3D(cltWidth-s.posWidth+padding)/2 s.posTop=3D(cltHeight-s.posHeight+padding)/2 if( g_scaleHyperlinks ) ScaleHyperlinks( factor ) } function _InitAnimations() { animRuntimeInstalled =3D ''+document.body.localTime !=3D 'undefined'; isFullScreen =3D (window.name =3D=3D "PPTSld") && !parent.IsFramesMode(); g_animUseRuntime =3D g_showAnimation && animRuntimeInstalled && !(isFullSc= reen && parent.IsSldVisited()); if( g_animUseRuntime ) { collSeq =3D document.all.tags("seq"); if( collSeq !=3D null ) { for(ii=3D0;ii<collSeq.length;ii++) { if( collSeq[ii].getAttribute( "p:nodeType" ) =3D=3D "mainSeq" ) { g_animMainSequence =3D collSeq[ii]; break; } } } if( g_animItemsToHide ) { for(jj =3D 0; jj < g_animItemsToHide.length; jj++) { if( hideObj =3D GetObj(g_animItemsToHide[jj]) ) hideObj.runtimeStyle.visibility=3D"hidden"; } } if( g_animInteractiveItems ){ for(jj =3D 0; jj < g_animInteractiveItems.length; jj++) { if( triggerObj =3D GetObj(g_animInteractiveItems[jj]) ) triggerObj.runtimeStyle.cursor=3D"hand"; } } if( gUseSldTimings && ''+g_animSlideTime !=3D 'undefined' ) { adjustedTime =3D document.body.calculateAutoAdvanceTimes( g_animSlideTim= e, g_animEffectTimings ); if( IsWin("PPTSld") && adjustedTime !=3D g_animSlideTime ) { var sld =3D GetCurSld(); sld.mAdvDelay =3D adjustedTime * 1000; } } } return g_animUseRuntime; } gSldJump =3D 0, gSldJumpTrack =3D 0, gSldJumpIdx =3D ""; function _KPH() { if( IsNts() ) return; if( !parent.IsFramesMode() && event.keyCode =3D=3D 27 && !HideMenu() ) parent.window.close( self ); else if( event.keyCode =3D=3D 32 ) { if( window.name =3D=3D "PPTSld" ) parent.PPTSld.DocumentOnClick(); else parent.GoToNextSld(); } CatchNumKeys( parent, event ); } function CatchNumKeys( win, event ) { if( win.IsFullScrMode() && (48<=3Devent.keyCode) && (event.keyCode<=3D57) = ) { gSldJump =3D 1; gSldJumpIdx +=3D (event.keyCode-48).toString(); } if( win.IsFullScrMode() && gSldJump && event.keyCode =3D=3D 13 ) { var numSlds =3D parent.GetSldList().mList.length if ( gSldJumpIdx > numSlds ) gSldJumpIdx =3D numSlds; if ( gSldJumpIdx >=3D 0 ) { if ( gSldJumpIdx =3D=3D 0 ) gSldJumpIdx =3D 1; var jumpTo =3D parseInt(gSldJumpIdx); gSldJump =3D 0; gSldJumpIdx =3D ""; win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref ) } } } function _KDH() { if( event.keyCode =3D=3D 8 ) { event.returnValue =3D 0; parent.GoToPrevSld(); } } function DocumentOnClick() { if( IsNts() || parent.HideMenu() ) return; if( ( g_allowAdvOnClick && (window.name=3D=3D"PPTSld") && !parent.IsFrames= Mode() ) || (event && event.keyCode=3D=3D32) ) { if( g_animUseRuntime && g_animMainSequence && g_animMainSequence.cangonex= t ) return; parent.GoToNextSld(); } } var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""= , g_bgSound=3D"", g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser = =3D 0, gLoopCont =3D 0, gUseSldTimings =3D 0; var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w= indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va= r g_animManager =3D null; var g_animUseRuntime =3D false; var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime; var g_animMainSequence =3D null; var ENDSHOW_MESG=3D"End of slide show, click to exit.", SCREEN_MODE=3D"Fram= es", gIsEndShow=3D0, NUM_VIS_SLDS=3D28, SCRIPT_HREF=3D"script.js", FULLSCR_= HREF=3D"fullscreen.htm"; var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO= tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D true window.gPPTHTML=3DSupportsPPTHTML() var gMainDoc=3Dnew Array(new hrefList("slide0001.htm",1,28241,1),new hrefLi= st("slide0003.htm",1,65889,1),new hrefList("slide0005.htm",1,41361,1),new h= refList("slide0032.htm",1,179009,1),new hrefList("slide0037.htm",1,112385,1= ),new hrefList("slide0006.htm",1,101425,1),new hrefList("slide0007.htm",1,8= 7281,1),new hrefList("slide0008.htm",1,45649,1),new hrefList("slide0038.htm= ",1,-1,1),new hrefList("slide0010.htm",1,83297,1),new hrefList("slide0011.h= tm",1,53153,1),new hrefList("slide0012.htm",1,115841,1),new hrefList("slide= 0014.htm",1,1,1),new hrefList("slide0015.htm",1,67057,1),new hrefList("slid= e0016.htm",1,19825,1),new hrefList("slide0017.htm",1,77841,1),new hrefList(= "slide0018.htm",1,84945,1),new hrefList("slide0019.htm",1,113185,1),new hre= fList("slide0040.htm",1,61665,1),new hrefList("slide0023.htm",1,17,1),new h= refList("slide0024.htm",1,106929,1),new hrefList("slide0026.htm",1,52481,1)= ,new hrefList("slide0028.htm",1,86849,1),new hrefList("slide0029.htm",1,754= 57,1),new hrefList("slide0036.htm",1,179009,1),new hrefList("slide0041.htm"= ,1,-1,1),new hrefList("slide0030.htm",1,129985,1),new hrefList("slide0042.h= tm",1,-1,1)); function FullScrInit() { g_allowAdvOnClick =3D GetCurSld().mAdvOnClk document.body.style.backgroundColor=3D"black" document.oncontextmenu=3Dparent._CM; document.onkeydown =3D _KDH; document.ondragstart=3DCancel document.onselectstart=3DCancel self.focus() } function Redirect( frmId ) { var str=3Ddocument.location.hash,idx=3Dstr.indexOf('#'), sId=3DGetSldId() if(idx>=3D0) str=3Dstr.substr(1); if( window.name !=3D frmId && ( sId !=3D str) ) { obj =3D GetObj("Main-File") window.location.href=3Dobj.href+"#"+sId return 1 } return 0 } var MHTMLPrefix =3D CalculateMHTMLPrefix(); function CalculateMHTMLPrefix() { if ( document.location.protocol =3D=3D 'mhtml:') { href=3Dnew String(document.location.href) Start=3Dhref.indexOf('!')+1 End=3Dhref.lastIndexOf('/')+1 if (End < Start) return href.substring(0, Start) else return href.substring(0, End) } return ''; } function GetTags(base,tag) { if(g_supportsPPTHTML) return base.all.tags(tag); else return base.getElementsByTagName(tag); } function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP= refix+GetHrefObj( gCurSld ).mNtsHref ) } function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() } function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() } function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() } function SetHasNts( fVal ) { if( gHasNts !=3D fVal ) { gHasNts=3DfVal UpdNavPane() } } function ToggleOtlText() { gOtlTxtExp=3D!gOtlTxtExp UpdOtlPane() } function ToggleOtlPane() { frmset=3Ddocument.all("PPTHorizAdjust") frm=3Ddocument.all("PPTOtl") if( gOtlOpen ) frmset.cols=3D"*,100%" else frmset.cols=3D"25%,*" gOtlOpen=3D!gOtlOpen frm.noResize=3D!frm.noResize UpdOtNavPane() } function ToggleNtsPane() { frmset=3Ddocument.all("PPTVertAdjust") frm=3Ddocument.all("PPTNts") if( gNtsOpen ) frmset.rows=3D"100%,*" else frmset.rows=3D"*,20%" gNtsOpen=3D!gNtsOpen UpdNtsPane() } function ClearMedia() { if (PPTSld.pptSound) PPTSld.pptSound.loop =3D 0; } function FullScreen() { if ( PPTSld.g_animUseRuntime ) PPTSld.document.body.pause(); ClearMedia(); var href =3D ( document.location.protocol =3D=3D 'mhtml:') ? FULLSCR_HREF = : FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref; if(PPTNav.event.ctrlKey) { var w =3D (window.screen.availWidth * 1.0) / 2.0 var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top= =3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h ); if( PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } else { win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" ); if( PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } } function ToggleVNarration() { rObj=3DPPTSld.document.all("NSPlay") if( rObj && !PPTSld.g_animUseRuntime ) { if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) ) rObj.Play() else if( rObj.playState =3D=3D 2 ) rObj.Pause() else return; } else if( PPTSld.g_animUseRuntime ) { narObj =3D PPTSld.document.all("narrationID") if( narObj ) narObj.togglePause() } } function GetCurSldNum() { obj=3DGetHrefObj(gCurSld) if( obj.mOrigVis =3D=3D 1 ) return obj.mSldIdx else return gCurSld } function GetNumSlds() { if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 ) return GetSldList().mNumVisSlds; else return GetSldList().mList.length } function GetSldNum( href ) { for(ii=3D0; ii<GetSldList().mList.length; ii++) { if ( GetSldList().mList[ii].mSldHref =3D=3D href ) return ii+1 } return 1 } function GetHrefObj( sldIdx ){ return GetSldList().mList[sldIdx-1] } function IsFramesMode(){ return ( SCREEN_MODE =3D=3D "Frames" ) } function IsFullScrMode(){ return ( SCREEN_MODE =3D=3D "FullScreen" ) } function GoToNextSld() { ii=3DgCurSld + 1 if( GetHrefObj( ii-1 ).mOrigVis =3D=3D 0 ) { if( ii<=3DGetSldList().mList.length ) { obj=3DGetHrefObj(ii) obj.mVis=3D1 GoToSldNum(ii) return } } else { obj=3DGetHrefObj( ii ) while ( obj && ( obj.mOrigVis =3D=3D 0 ) ) obj=3DGetHrefObj(++ii) if( obj && obj.mOrigVis ) { GoToSldNum(ii) return } } if( gSldStack.length > 1 ) PopSldList(); else if( !IsFramesMode() ) { if( gLoopCont ) GoToFirst() else EndShow() } } function GoToPrevSld() { ii=3DgCurSld-1 if( ii > 0 ) { obj=3DGetHrefObj(ii) while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) ) obj=3DGetHrefObj(--ii) if( ii =3D=3D 0 ) ii=3D1 GoToSldNum(ii) } } function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) } function GoToLast() { ii=3DGetSldList().mList.length if( ii !=3D gCurSld ) GoToSld( GetHrefObj(ii).mSldHref ) } function GoToSldNum( num ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue obj =3D GetHrefObj( num ) obj.mVis=3D1 gPrevSld=3DgCurSld gCurSld =3D num; PPTSld.location.replace(MHTMLPrefix+obj.mSldHref) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function GoToSld( href ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue GetHrefObj( GetSldNum(href) ).mVis=3D1 PPTSld.location.replace(MHTMLPrefix+href) } function SldUpdated( id ) { if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return gPrevSld=3DgCurSld gCurSld=3DGetSldNum(id) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) } function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO= bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) } function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) } function CloseWindow() { if( HideMenu() ) return; var event =3D PPTSld.event; if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D= =3D32 || event.type=3D=3D"click" ) ) window.close( self ); CatchNumKeys( self, event ); } function Unload() { gIsEndShow=3D0; } function SetupEndShow() { gIsEndShow=3D1; PPTSld.document.body.scroll=3D"no"; PPTSld.document.onkeypress=3DCloseWindow; PPTSld.document.onclick=3DCloseWindow; PPTSld.document.oncontextmenu=3D_CM; } function EndShow() { if( IsFramesMode() ) return if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue doc=3DPPTSld.document doc.open() doc.writeln('<html><body bgcolor=3Dblack onload=3Dparent.SetupEndShow() on= unload=3Dparent.Unload()><center><p><font face=3DTahoma color=3Dwhite size= =3D2><br><b>' + ENDSHOW_MESG + '</b></font></p></center></body></html>') doc.close() } function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue } function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited } function hrefList( sldHref, visible, advDelay, advClk ) { this.mSldHref=3D this.mNtsHref =3D sldHref this.mOrigVis=3D this.mVis =3D visible this.mVisited=3D false this.mAdvDelay=3D advDelay this.mAdvOnClk=3D advClk } function SldList(arr,curSld,fEnd) { this.mCurSld =3D curSld; this.mList =3D new Array(); var idx =3D 1; for(ii=3D0;ii<arr.length;ii++) { this.mList[ii] =3D new hrefList( arr[ii].mSldHref, arr[ii].mOrigVis, arr[= ii].mAdvDelay, arr[ii].mAdvOnClk ); if( arr[ii].mOrigVis ) this.mList[ii].mSldIdx =3D idx++; } this.mNumVisSlds =3D idx-1; this.fEndShow =3D fEnd; } function GetSldList() { return gSldStack[gSldStack.length-1] } function GetCurSld() { return parent.GetSldList().mList[parent.gCurSld - 1]= } gSldStack =3D new Array(); gSldStack[0] =3D new SldList(gMainDoc,gCurSld,1) function ViewCustomShow(idx,fEnd) { if( !IsFullScrMode() ) return; var sldList =3D new Array(); var custShow =3D custShowList[idx-1]; var jj =3D 0; for( ii=3D0;ii<custShow.length;ii++ ) { if( custShow[ii] <=3D gMainDoc.length ) sldList[jj++] =3D gMainDoc[custShow[ii]-1]; } if (sldList.length > 0) { PushSldList(sldList,fEnd); gCurSld =3D 1; } else if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue } function PushSldList(arr,fEnd) { var ii =3D gSldStack.length; gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd); GoToSld( gSldStack[ii].mList[0].mSldHref ); } function PopSldList() { if (gSldStack[gSldStack.length-1].fEndShow) EndShow() else { gCurSld =3D gSldStack[gSldStack.length-1].mCurSld; gSldStack[gSldStack.length-1] =3D null; gSldStack.length--; var sldList =3D gSldStack[gSldStack.length-1]; GoToSld( sldList.mList[gCurSld - 1].mSldHref ); } } var custShowList=3Dnew Array(); function ImgBtn( oId,bId,w,action ) { var t=3Dthis t.Perform =3D _IBP t.SetActive =3D _IBSetA t.SetInactive=3D _IBSetI t.SetPressed =3D _IBSetP t.SetDisabled=3D _IBSetD t.Enabled =3D _IBSetE t.ChangeIcon =3D null t.UserAction =3D action t.ChgState =3D _IBUI t.mObjId =3D oId t.mBorderId=3D bId t.mWidth =3D w t.mIsOn =3D t.mCurState =3D 0 } function _IBSetA() { if( this.mIsOn ) { obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 ) obj.style.posTop=3D0 } } function _IBSetI() { if( this.mIsOn ) { obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 ) obj.style.posTop=3D0 } } function _IBSetP() { if( this.mIsOn ) { obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 ) obj.style.posLeft+=3D1; obj.style.posTop+=3D1 } } function _IBSetD() { obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 ) obj.style.posTop=3D0 } function _IBSetE( state ) { var t=3Dthis GetObj( t.mBorderId ).style.visibility=3D"visible" if( state !=3D t.mIsOn ) { t.mIsOn=3Dstate if( state ) t.SetInactive() else t.SetDisabled() } } function _IBP() { var t=3Dthis if( t.mIsOn ) { if( t.UserAction !=3D null ) t.UserAction() if( t.ChangeIcon ) { obj=3DGetObj(t.mObjId) if( t.ChangeIcon() ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth else obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth } t.SetActive() } } function _IBUI( clr1,clr2,nextState ) { var t=3Dthis SetBorder( GetObj( t.mBorderId ),clr1,clr2 ) obj=3DGetObj( t.mObjId ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj= .style.posTop t.mCurState=3DnextState return obj } function TxtBtn( oId,oeId,action,chkState ) { var t=3Dthis t.Perform =3D _TBP t.SetActive =3D _TBSetA t.SetInactive=3D _TBSetI t.SetPressed =3D _TBSetP t.SetDisabled=3D _TBSetD t.SetEnabled =3D _TBSetE t.GetState =3D chkState t.UserAction =3D action t.ChgState =3D _TBUI t.mObjId =3D oId t.m_elementsId=3D oeId t.mIsOn =3D 1 } function _TBSetA() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gHiliteClr,gShadowClr,0,0 ) } function _TBSetI() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) } function _TBSetP() { if( this.mIsOn ) this.ChgState( gShadowClr,gHiliteClr,1,1 ) } function _TBSetD() { this.ChgState( gFaceClr,gFaceClr,0,0 ) this.mIsOn =3D 0 } function _TBSetE() { var t=3Dthis if( !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) else t.ChgState( gShadowClr,gHiliteClr,1,1 ) t.mIsOn =3D 1 } function _TBP() { var t=3Dthis if( t.mIsOn ) { if( t.UserAction !=3D null ) t.UserAction() if( !t.GetState ) return if( t.GetState() ) t.SetPressed() else t.SetActive() } } function _TBUI( clr1,clr2,lOffset,tOffset ) { SetBorder( GetObj( this.mObjId ),clr1,clr2 ) Offset( GetObj( this.m_elementsId ),lOffset,tOffset ) } function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle= ft } function SetBorder( obj, upperLeft, lowerRight ) { s=3Dobj.style; s.borderStyle =3D "solid" s.borderWidth =3D 1 s.borderLeftColor =3D s.borderTopColor =3D upperLeft s.borderBottomColor=3D s.borderRightColor =3D lowerRight } function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] } function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() } function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() } function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() } function BtnOnUp() { b=3DGetBtnObj() if( b !=3D null ) b.Perform() else Upd() } function GetNtsState(){ return parent.gNtsOpen } function GetOtlState(){ return parent.gOtlOpen } function GetOtlTxtState(){ return parent.gOtlTxtExp } function NtsBtnSetFlag( fVal ) { s=3Ddocument.all.item( this.m_flagId ).style s.display=3D"none" if( fVal ) s.display=3D"" else s.display=3D"none" } function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etActive() } function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etInactive() } var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"= THREEDFACE" var gBtnArr =3D new Array() gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan= e,GetOtlState ) gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt= lPane,GetOtlState ) gBtnArr["nb_nts"] =3D new TxtBtn( "nb_nts","nb_ntsElem",parent.ToggleNtsPan= e,GetNtsState ) gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","nb_prevBorder",30,parent.GoToP= revSld ) gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","nb_nextBorder",30,parent.GoToN= extSld ) gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent= .FullScreen ) gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa= rent.FullScreen,null ) gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border; gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent= .FullScreen,null ) gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border; gBtnArr["nb_voice"] =3D new ImgBtn( "nb_voice","nb_voiceBorder",18,parent.= ToggleVNarration ) gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlTxt","nb_otlTxtBorder",23,parent= .ToggleOtlText ) gBtnArr["nb_nts"].m_flagId=3D "notes_flag" gBtnArr["nb_nts"].SetFlag =3D NtsBtnSetFlag gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState var sNext=3D"Next",sPrev=3D"Previous",sEnd=3D"End Show",sFont=3D"Arial",sAr= row=3D"Arrow",sFreeform=3D"Freeform",sRect=3D"Rectangle",sOval=3D"Oval" function ShowMenu() { BuildMenu(); var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y= =3DPPTSld.event.clientY+doc.scrollTop m =3D PPTSld.document.all.item("ctxtmenu") m.style.pixelLeft=3Dx if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) ) m.style.pixelLeft=3Dx-m.scrollWidth m.style.pixelTop=3Dy if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) ) m.style.pixelTop=3Dy-m.scrollHeight m.style.display=3D"" } function _CM() { if( !parent.IsFullScrMode() ) return; if(!PPTSld.event.ctrlKey) { ShowMenu() return false } else HideMenu() } function BuildMenu() { if( PPTSld.document.all.item("ctxtmenu") ) return var mObj=3DCreateItem( PPTSld.document.body ) mObj.id=3D"ctxtmenu" mObj.style.visibility=3D"hidden" var s=3DmObj.style s.position=3D"absolute" s.cursor=3D"default" s.width=3D"120px" SetCMBorder(mObj,"menu","black") var iObj=3DCreateItem( mObj ) SetCMBorder( iObj, "threedhighlight","threedshadow" ) iObj.style.padding=3D2 CreateMenuItem( iObj,sNext,M_GoNextSld,M_True ) CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld ) CreateSeparator( iObj ) CreateMenuItem( iObj,sEnd,M_End,M_True ) mObj.style.visibility=3D"visible" } function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa= lue=3Dfalse } function Highlight() { ChangeClr("activecaption","threedhighlight") } function Deselect() { ChangeClr("threedface","menutext") } function Perform() { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) e.Action() else PPTSld.event.cancelBubble=3Dtrue } function ChangeClr( bg,clr ) { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) { e.style.backgroundColor=3Dbg e.style.color=3Dclr } } function M_HasPrevSld() { return( parent.HasPrevSld() ) } function M_GoNextSld() { if( gIsEndShow ) M_End(); 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color:buttontext;font-size:9pt'>Outline</div></div> </td> </table> <table style=3D'position:relative' align=3Dcenter cellpadding=3D0 cellspaci= ng=3D0> <td> <div style=3D'position:absolute;left:-18px;width:24px;height:20px;border-s= tyle: solid;border-width:1px;border-color:threedface' id=3D"nb_otlTxtBorder"> <div style=3D'position:absolute;clip:rect(0px, 22px, 18px, 0px)'><img src=3Dbuttons.gif id=3D"nb_otlTxt" title=3D"Expand/Collapse Outline" style=3D'position:relative;left:-157px'></div> </div> </td> </table> </div> <div id=3DOtlObj style=3D'display:none;visibility:hidden;'> <table width=3D"100%" style=3D'font-family:Arial;font-size:9pt'> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>1</font></div> </td> <td width=3D"100%"> <div id=3DPPTP1 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0001.htm');" id=3DPPTL1><span dir=3Dltr>= Learning and Adaptation in Competitive and Dynamic Environments</span></a></font><= /div> <div id=3DPPTC1 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Shie Mannor</li> <br> <br> <br> <li>Laboratory for Information and Decision Systems</li> <li>Massachusetts Institute of Technology</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>2</font></div> </td> <td> <div id=3DPPTP2 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0003.htm');" id=3DPPTL2>Problem Definiti= on</a></font></div> <div id=3DPPTC2 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>A single decision maker is facing a dynamic</li> <li>environment and several agents. The decision</li> <li>maker wants to:</li> <br> <br> <li>Safety – Guarantee worst case performance level always.</li> <li>Adaptation – Obtain improved performance if the other agents a= re not completely adversarial.</li> <br> <br> <li>[Fudenberg & Levine 98].</li> <br> <br> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>3</font></div> </td> <td> <div id=3DPPTP3 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0005.htm');" id=3DPPTL3>Regret Minimizat= ion</a></font></div> <div id=3DPPTC3 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Performance is measured with respect to past</li> <li>observations – the decision maker should not</li> <li>“feel sorry” for actions taken in the past.</li> <br> <br> <br> <li>A strategy is “optimal” if in retrospective</li> <li>nothing better could have been done.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>4</font></div> </td> <td> <div id=3DPPTP4 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0032.htm');" id=3DPPTL4>Applications = 211; “Online Planning”</a></font></div> <div id=3DPPTC4 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Action: Transmit / probe</li> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>5</font></div> </td> <td> <div id=3DPPTP5 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0037.htm');" id=3DPPTL5>Applications - Alternative Routing</a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>6</font></div> </td> <td> <div id=3DPPTP6 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0006.htm');" id=3DPPTL6>Modeling issues</= a></font></div> <div id=3DPPTC6 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>How to model environments with multiple agents?</li> <li>Stationary <font face=3DWingdings>è</font><font face=3DVerdan= a> Markov Decision Process</font></li> <li>Hostile <font face=3DWingdings>è</font><font face=3DVerdana> = Zero-sum (stochastic) game</font></li> <li>Rational <font face=3DWingdings>è</font><font face=3DVerdana> non-zero sum games</font></li> <li>Arbitrary <font face=3DWingdings>è</font><font face=3DVerdana= > Regret minimization</font></li> <br> <br> <li>Why Regret minimization?</li> <li>Why not Regret minimization?</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>7</font></div> </td> <td> <div id=3DPPTP7 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0007.htm');" id=3DPPTL7><span dir=3Dltr>= An Example</span></a></font></div> <div id=3DPPTC7 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Chess master wants to win as many games as</li> <li>possible in a single day.</li> <li>Master’s goal – minimize regret.</li> <br> <br> <li>How should she play?</li> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>8</font></div> </td> <td> <div id=3DPPTP8 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0008.htm');" id=3DPPTL8><span dir=3Dltr>= The Chess Master</span></a></font></div> <div id=3DPPTC8 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Scenarios:</li> <li>All opponents are experts<br> <font face=3DWingdings>è</font><font face=3DVerdana> p= lay cautiously.</font></li> <li>All opponents are novices <br> <font face=3DWingdings>è</font><font face=3DVerdana> p= lay speculatively.</font></li> <li>Some are novices and some are experts <font face=3DWingdings>è= ;</font><font face=3DVerdana> depends on the ratio.</font></li> <br> <br> <li>Can the chess master outperform each of</li> <li>the fixed strategies?</li> <li>Safety: Play cautiously.</li> <li>Adaptation: Take advantage of frequent novices.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>9</font></div> </td> <td> <div id=3DPPTP9 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0038.htm');" id=3DPPTL9><span dir=3Dltr>= Solutions overview</span></a></font></div> <div id=3DPPTC9 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>A solution concept is:</li> <ul> <li>A prescription of a strategy.</li> <li>A performance guarantee that depends on history – safe and adaptive.</li> <br> <br> </ul> <li>Two concepts:</li> <ul> <li>Empirical envelopes [Mannor & Shimkin 01, 02]</li> <li>Super games [Mannor 02, Mannor & Shimkin 03]</li> </ul> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>10</font></div> </td> <td> <div id=3DPPTP10 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0010.htm');" id=3DPPTL10>Two Player Stoc= hastic Games</a></font></div> <div id=3DPPTC10 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Two players: P1 and P2</li> <li>Current state:</li> <li>Action of P1:</li> <li>Action of P2:</li> <li>P1’s reward:</li> <li>Next state:</li> <br> <br> <li>Performance criterion:</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>11</font></div> </td> <td> <div id=3DPPTP11 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0011.htm');" id=3DPPTL11>Worst-Case Guar= antees</a></font></div> <div id=3DPPTC11 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>The value of the associated zero-sum game:</li> <br> <br> <br> <br> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>12</font></div> </td> <td> <div id=3DPPTP12 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0012.htm');" id=3DPPTL12><span dir=3Dltr= >Regret Minimization – Matrix Games</span></a></font></div> <div id=3DPPTC12 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Let<span style=3D'mso-spacerun:yes'> </span>= be the empirical distribution of</li> <li>P2’s actions (<span style=3D'mso-spacerun:yes'> = ; &n= bsp; </span>).</li> <br> <br> <li>We say that a strategy has zero regret if:</li> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>13</font></div> </td> <td> <div id=3DPPTP13 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0014.htm');" id=3DPPTL13>Empirical Envel= opes</a></font></div> <div id=3DPPTC13 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li><span style=3D'mso-spacerun:yes'> </sp= an>- measured statistics;<span style=3D'mso-spacerun:yes'> </span>-<s= pan style=3D'mso-spacerun:yes'> </span>the average.</li> <br> <br> <ul> <li>State-action frequency.</li> <li>How often information needed (sensor).</li> </ul> <br> <li><span style=3D'mso-spacerun:yes'> </span>: All P1’s (stationary) strategies</li> <li><span style=3D'mso-spacerun:yes'> </span>: P2’s “compatible” (stationary) strategies= .</li> <li></li> <li>The empirical Bayes envelope is:</li> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>14</font></div> </td> <td> <div id=3DPPTP14 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0015.htm');" id=3DPPTL14><span dir=3Dltr= >Empirical Envelopes</span></a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>15</font></div> </td> <td> <div id=3DPPTP15 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0016.htm');" id=3DPPTL15><span dir=3Dltr= >Empirical Envelopes</span></a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>16</font></div> </td> <td> <div id=3DPPTP16 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0017.htm');" id=3DPPTL16>The Convex Bayes Envelope</a></font></div> <div id=3DPPTC16 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li><span style=3D'mso-spacerun:yes'> </span>- the lower convex hull of</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>17</font></div> </td> <td> <div id=3DPPTP17 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0018.htm');" id=3DPPTL17>The Proof ̵= 1; Step 1</a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>18</font></div> </td> <td> <div id=3DPPTP18 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0019.htm');" id=3DPPTL18>The Proof ̵= 1; Step 2</a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>19</font></div> </td> <td> <div id=3DPPTP19 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0040.htm');" id=3DPPTL19><span dir=3Dltr= >The strategy</span></a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>20</font></div> </td> <td> <div id=3DPPTP20 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0023.htm');" id=3DPPTL20><span dir=3Dltr= >Single Controller Games</span></a></font></div> <div id=3DPPTC20 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Suppose P2 alone affects transitions, statistics are state-action frequencies.</li> <br> <br> <li>Theorem:<span style=3D'mso-spacerun:yes'> = ; </span>is convex, hence attainable.</li> <br> <br> <li>Intuition: Problem decomposes to a series of repeated matrix games.<= /li> <br> <br> <li>A very simple strategy may be developed.</li> <li>Excellent convergence rates.</li> <br> <br> <li>Relations with universal coding/prediction.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>21</font></div> </td> <td> <div id=3DPPTP21 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0024.htm');" id=3DPPTL21><span dir=3Dltr= >Super Games</span></a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>22</font></div> </td> <td> <div id=3DPPTP22 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0026.htm');" id=3DPPTL22>Adversarial Ban= dits</a></font></div> <div id=3DPPTC22 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>N arms, when arm a is pulled a reward is</li> <li>given (in an arbitrary non stationary manner)</li> <li>Only the observed reward is known.</li> <br> <br> <li>P1 goal – attain (asymptotically) a reward</li> <li>which is as high as the best arm.</li> <br> <br> <li>There are algorithms that asymptotically</li> <li>achieve a reward which is as high as the best</li> <li>arm.</li> <li>[Auer et al. 02, Foster and Vohra 93]</li> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>23</font></div> </td> <td> <div id=3DPPTP23 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0028.htm');" id=3DPPTL23>Super Games = 211; Guarantees</a></font></div> <div id=3DPPTC23 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Use the bandits with arms =3D P1’s strategies.</li> <br> <br> <li>Theorem: For every<span style=3D'mso-spacerun:yes'> = ; </span>we can choose L large enough so that:</li> <br> <br> <li>1.<span style=3D'mso-spacerun:yes'> </span>Safety:</li> <br> <br> <li>2.<span style=3D'mso-spacerun:yes'> </span>Adaptation: If P2 p= lays a stationary strategy g then</li> <br> <br> <br> <br> <li>Caveat: Number of super actions is exponential in L and in the numbe= r of states.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>24</font></div> </td> <td> <div id=3DPPTP24 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0029.htm');" id=3DPPTL24>Have Your Cake = & Eat It Too</a></font></div> <div id=3DPPTC24 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Suppose a small number of strategies are of interest:</li> <li><span style=3D'mso-spacerun:yes'> </span>attaining strategy.</li> <li><span style=3D'mso-spacerun:yes'> </span>attaining strategy in a stationary environment.</li> <br> <br> <li>Can be considered as two-armed bandit and guarantee that:</li> <br> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>25</font></div> </td> <td> <div id=3DPPTP25 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0036.htm');" id=3DPPTL25>Applications &#= 8211; “Online Planning”</a></font></div> <div id=3DPPTC25 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Action: Transmit / probe</li> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>26</font></div> </td> <td> <div id=3DPPTP26 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0041.htm');" id=3DPPTL26><span dir=3Dltr= >Online Planning</span></a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>27</font></div> </td> <td> <div id=3DPPTP27 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0030.htm');" id=3DPPTL27><span dir=3Dltr= >Conclusion</span></a></font></div> <div id=3DPPTC27 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>A general framework with no assumptions.</li> <br> <br> <li>Optimality is different than “classical” control</li> <li>or game theory.</li> <br> <br> <li>Two solution concepts:</li> <li>Empirical envelopes – simple and robust.</li> <li>Super games – excellent performance.</li> <br> <br> <li>Safety & Adaptation.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>28</font></div> </td> <td> <div id=3DPPTP28 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0042.htm');" id=3DPPTL28><span dir=3Dltr= >Extensions</span></a></font></div> <div id=3DPPTC28 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Learning how to play (unknown model)</li> <li>Unobserved / delayed reward</li> <li>Partial observation of state</li> <li>A Reinforcement Learning approach</li> <li>Applications in control/communications: UAVs, Semi cooperative contr= ol in robot teams; Cellular networks; Markets; Storage networks, etc.</= li> <br> <br> </ul> </font></div> </td> </tr> </table> </div> <div style=3D'display:none'><a href=3Dmaster06.htm></a><a href=3Dmaster06.x= ml></a><a href=3Dpreview.wmf></a><a href=3Dmaster07.htm></a><a href=3Dmaster07.xml></= a><a href=3Dmaster02.htm></a><a href=3Dpres.xml></a><a href=3Dslide0001.htm></a>= <a href=3D"master07_image001.gif"></a><a href=3Dslide0003.htm></a><a href=3D"master06_image002.gif"></a><a href=3Dslide0005.htm></a><a href=3Dslide0032.htm></a><a href=3D"slide0032_image003.gif"></a><a href=3D"slide0032_image004.gif"></a><a href=3D"slide0032_image005.wmz"></a>= <a href=3D"slide0032_image006.gif"></a><a 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style=3D'font-family:Arial;mso-ascii-font-family:Verdana;mso-bid= i-font-family: Arial;font-size:67%;mso-field-code:meta0' dir=3Drtl>5/15/03</span><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:67%;mso-special-format:lastCR;display:none'> </span></div> <p:shaperange href=3D"master06.xml#_x0000_s6154"/> <div v:shape=3D"_x0000_s6154" class=3DO> <div dir=3DLTR style=3D'direction:ltr;position:absolute;top:94.5%;left:72.= 65%; width:21.53%;height:3.0%'><span lang=3DAR-SA style=3D'font-family:Arial; mso-ascii-font-family:Verdana;mso-bidi-font-family:Arial;font-size:67%; mso-field-code:meta16' dir=3Drtl><span dir=3Dltr></span>28</span><span style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;font-size:67%; mso-special-format:lastCR;display:none'> </span></div> </div> <![endif]><p:shaperange href=3D"master06.xml#_x0000_m6150"/><v:shape id=3D= "_x0000_s109570" type=3D"#_x0000_m6150" style=3D'position:absolute;left:107.875pt;top:23.7= 5pt; width:575.875pt;height:90pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master06.xml#_x0000_m6151"/><v:shape id=3D"_x0000_s109571" type= =3D"#_x0000_m6151" style=3D'position:absolute;left:107.875pt;top:143.875pt;width:592.375pt; height:324pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DRTL v:shape=3D"_x0000_s109570" class=3DT style=3D'position:abso= lute; top:13.25%;left:15.91%;width:78.08%;height:7.25%'><span lang=3DEN-US style=3D'font-size:94%' dir=3Dltr>Extensions</span></div> <div v:shape=3D"_x0000_s109571"> <div class=3DB1 style=3D'mso-margin-left-alt:540'></div> <div class=3DB2 style=3D'mso-margin-left-alt:816'></div> <div class=3DB3 style=3D'mso-margin-left-alt:1068'></div> <div class=3DB4 style=3D'mso-margin-left-alt:1356'></div> <div dir=3DLTR class=3DB style=3D'text-align:left;mso-margin-left-alt:300; direction:ltr;position:absolute;top:27.25%;left:15.91%;width:84.64%; height:5.75%'><span style=3D'position:absolute;top:0%;left:6.19%;width:94.= 02%; height:100.0%'><span style=3D'font-size:83%'><span style=3D'mso-special-fo= rmat: "numbullet3\,1";color:#006666;mso-color-index:3;position:absolute;left:-6.= 58%'>1.</span></span><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:83%'>Learning how to play (unknown model)</span><span lang=3DEN-= US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;font-size:69%; display:none'> </span></span></div> <div dir=3DLTR class=3DB style=3D'text-align:left;mso-margin-left-alt:300; direction:ltr;position:absolute;top:33.75%;left:15.91%;width:80.52%; height:5.75%'><span style=3D'position:absolute;top:0%;left:6.51%;width:93.= 48%; height:100.0%'><span style=3D'font-size:83%'><span style=3D'mso-special-fo= rmat: "numbullet3\,1";color:#006666;mso-color-index:3;position:absolute;left:-6.= 96%'>2.</span></span><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:83%'>Unobserved / delayed reward</span><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;font-size:69%; display:none'> </span></span></div> <div dir=3DLTR class=3DB style=3D'text-align:left;mso-margin-left-alt:300; direction:ltr;position:absolute;top:40.0%;left:15.91%;width:80.52%;height: 5.75%'><span style=3D'position:absolute;top:0%;left:6.51%;width:93.48%; height:100.0%'><span style=3D'font-size:83%'><span style=3D'mso-special-fo= rmat: "numbullet3\,1";color:#006666;mso-color-index:3;position:absolute;left:-6.= 96%'>3.</span></span><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:83%'>Partial observation of state </span></span></div> <div dir=3DLTR class=3DB style=3D'text-align:left;mso-margin-left-alt:300; direction:ltr;position:absolute;top:46.5%;left:15.91%;width:80.52%;height: 5.75%'><span style=3D'position:absolute;top:0%;left:6.51%;width:93.48%; height:100.0%'><span style=3D'font-size:83%'><span style=3D'mso-special-fo= rmat: "numbullet3\,1";color:#006666;mso-color-index:3;position:absolute;left:-6.= 96%'>4.</span></span><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:83%'>A Reinforcement Learning approach </span></span></div> <div dir=3DLTR class=3DB style=3D'text-align:left;mso-margin-left-alt:300; direction:ltr'><span style=3D'position:absolute;top:52.75%;left:21.16%; width:81.08%;height:5.75%'><span style=3D'font-size:83%'><span style=3D'ms= o-special-format: "numbullet3\,1";color:#006666;mso-color-index:3;position:absolute;left:-6.= 46%'>5.</span></span><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:83%'>Applications in control/communications: </span></span><span style=3D'position:absolute;top:58.25%;left:21.16%;width:80.14%;height:4.75= %'><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:69%'>UAVs, Semi cooperative control in robot teams; </span></spa= n><span style=3D'position:absolute;top:62.5%;left:21.16%;width:85.95%;height:4.75%= '><span lang=3DEN-US style=3D'font-family:Verdana;mso-ascii-font-family:Verdana; font-size:69%'>Cellular networks; Markets; Storage networks, etc. </sp= an></span></div> <div dir=3DRTL class=3DB style=3D'mso-margin-left-alt:300;position:absolut= e; top:68.0%;left:15.91%;width:80.52%;height:5.75%'><span style=3D'position:a= bsolute; top:0%;left:0%;width:93.48%;height:100.0%'><span style=3D'font-size:83%; visibility:hidden'><span style=3D'mso-special-format:bullet;color:#006666; mso-color-index:3;position:absolute;right:-6.96%;font-family:Wingdings; font-size:70%'>¡</span></span><span lang=3DEN-US style=3D'font-famil= y:Verdana; 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o:forcedash=3D"t"/> <v:shadow color=3D"gray [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <v:textbox inset=3D"2.63475mm,1.3174mm,2.63475mm,1.3174mm"/> <p:placeholder type=3D"body" position=3D"3" size=3D"quarter"/></v:shapetyp= e> <div v:shape=3D"_x0000_m8197"> <div dir=3DRTL class=3DN><span lang=3DEN-US dir=3Dltr>Click to edit Master = text styles </span></div> <div dir=3DRTL class=3DN1><span lang=3DEN-US dir=3Dltr>Second level </s= pan></div> <div dir=3DRTL class=3DN2><span lang=3DEN-US dir=3Dltr>Third level </sp= an></div> <div dir=3DRTL class=3DN3><span lang=3DEN-US dir=3Dltr>Fourth level </s= pan></div> <div dir=3DRTL class=3DN4><span lang=3DEN-US dir=3Dltr>Fifth level</span></= div> </div> <v:shapetype id=3D"_x0000_s8198" style=3D'position:absolute;left:319pt;top:= 706.625pt; width:244pt;height:37.25pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" = fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"gray [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <v:textbox inset=3D"2.63475mm,1.3174mm,2.63475mm,1.3174mm"/> <p:placeholder type=3D"footer" position=3D"4" size=3D"quarter"/></v:shapet= ype> <div v:shape=3D"_x0000_s8198" style=3D'tab-interval:1.0364in'> <div class=3DO1 style=3D'mso-margin-left-alt:299;mso-text-indent-alt:299'><= /div> <div class=3DO2 style=3D'mso-margin-left-alt:597;mso-text-indent-alt:597'><= /div> <div class=3DO3 style=3D'mso-margin-left-alt:896;mso-text-indent-alt:896'><= /div> <div class=3DO4 style=3D'mso-margin-left-alt:1195;mso-text-indent-alt:1195'= ></div> <div dir=3DRTL class=3DO><span lang=3DEN-US style=3D'font-size:67%;mso-fiel= d-code:meta15' dir=3Dltr>‹footer›</span><span style=3D'font-size:67%;mso-speci= al-format: lastCR' dir=3Drtl> </span></div> </div> <v:shapetype id=3D"_x0000_s8199" style=3D'position:absolute;left:.125pt;top= :706.625pt; width:244pt;height:37.25pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" = fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"gray [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <v:textbox inset=3D"2.63475mm,1.3174mm,2.63475mm,1.3174mm"/> <p:placeholder type=3D"slideNumber" position=3D"5" size=3D"quarter"/></v:s= hapetype> <div v:shape=3D"_x0000_s8199" style=3D'tab-interval:1.0364in'> <div class=3DO1 style=3D'mso-margin-left-alt:299;mso-text-indent-alt:299'><= /div> <div class=3DO2 style=3D'mso-margin-left-alt:597;mso-text-indent-alt:597'><= /div> <div class=3DO3 style=3D'mso-margin-left-alt:896;mso-text-indent-alt:896'><= /div> <div class=3DO4 style=3D'mso-margin-left-alt:1195;mso-text-indent-alt:1195'= ></div> <div dir=3DRTL class=3DO style=3D'text-align:left'><span lang=3DAR-SA style= =3D'font-family: Arial;mso-bidi-font-family:Arial;font-size:67%;mso-field-code:meta16'≯= 9;#›</span><span style=3D'font-size:67%;mso-special-format:lastCR' dir=3Drtl> </span></d= iv> </div> <p:notes id=3D"7" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"65"/> </o:shapelayout><v:shape id=3D"_x0000_s66562" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s6656= 3" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s66563" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US>When a player sits down – expertise unknown</span></div> </p:notes><p:notes id=3D"38" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"100"/> </o:shapelayout><v:shape id=3D"_x0000_s102402" type=3D"#_x0000_m8196" styl= e=3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s1024= 03" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s102403" class=3DN style=3D'text-align:le= ft; direction:ltr'><span lang=3DEN-US>Start with some definitions</span></div> </p:notes><p:notes id=3D"10" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"66"/> </o:shapelayout><v:shape id=3D"_x0000_s67586" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s6758= 7" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s67587" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US>Arbitrary varying Markov processes</span= ></div> </p:notes><p:notes id=3D"11" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"72"/> </o:shapelayout><v:shape id=3D"_x0000_s73730" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s7373= 1" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s73731" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US style=3D'mso-special-format:lastCR'> = ;</span></div> </p:notes><p:notes id=3D"12" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"73"/> </o:shapelayout><v:shape id=3D"_x0000_s74754" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s7475= 5" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s74755" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US style=3D'mso-special-format:lastCR'> = ;</span></div> </p:notes><p:notes id=3D"14" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"74"/> </o:shapelayout><v:shape id=3D"_x0000_s75778" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s7577= 9" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s75779" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US>Space </span></div> </p:notes><p:notes id=3D"15" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"75"/> </o:shapelayout><v:shape id=3D"_x0000_s76802" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s7680= 3" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s76803" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US>title</span></div> </p:notes><p:notes id=3D"16" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"76"/> </o:shapelayout><v:shape id=3D"_x0000_s77826" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s7782= 7" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s77827" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US>title</span></div> </p:notes><p:notes id=3D"17" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"77"/> </o:shapelayout><v:shape id=3D"_x0000_s78850" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s7885= 1" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s78851" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US>fix</span></div> </p:notes><p:notes id=3D"18" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"111"/> </o:shapelayout><v:shape id=3D"_x0000_s113666" type=3D"#_x0000_m8196" styl= e=3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s1136= 67" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s113667" class=3DN style=3D'text-align:le= ft; direction:ltr'><span lang=3DEN-US>Cluttered?</span></div> </p:notes><p:notes id=3D"40" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"112"/> </o:shapelayout><v:shape id=3D"_x0000_s114690" type=3D"#_x0000_m8196" styl= e=3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s1146= 91" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s114691" class=3DN style=3D'text-align:le= ft; direction:ltr'><span lang=3DEN-US>How to complete the proof</span></div> </p:notes><p:notes id=3D"23" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"89"/> </o:shapelayout><v:shape id=3D"_x0000_s91138" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s9113= 9" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s91139" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US>Possibly remove, mention stock market?</= span></div> </p:notes><p:notes id=3D"24" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"106"/> </o:shapelayout><v:shape id=3D"_x0000_s108546" type=3D"#_x0000_m8196" styl= e=3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s1085= 47" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s108547" class=3DN style=3D'text-align:le= ft; direction:ltr'><span lang=3DEN-US>Ignoring state-dependence</span></div> </p:notes><p:notes id=3D"29" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"79"/> </o:shapelayout><v:shape id=3D"_x0000_s80898" type=3D"#_x0000_m8196" style= =3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s8089= 9" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s80899" class=3DN style=3D'text-align:lef= t; direction:ltr'><span lang=3DEN-US style=3D'mso-special-format:lastCR'> = ;</span></div> </p:notes><p:notes id=3D"41" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"105"/> </o:shapelayout><v:shape id=3D"_x0000_s107522" type=3D"#_x0000_m8196" styl= e=3D'position:absolute; left:95.5pt;top:55.75pt;width:372pt;height:279pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s1075= 23" type=3D"#_x0000_m8197" style=3D'position:absolute;left:56.25pt;top:353.37= 5pt; width:450.5pt;height:334.875pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div dir=3DLTR v:shape=3D"_x0000_s107523" class=3DN style=3D'text-align:le= ft; direction:ltr'><span lang=3DEN-US>Fix axis in graph (!)</span></div> </p:notes> </body> </html> 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Content-Location: file:///C:/D928290E/AdaptationGen_files/script.js Content-Transfer-Encoding: quoted-printable Content-Type: application/javascript; charset="us-ascii" function LoadSld() { var sld=3DGetObj("SlideObj") if( !g_supportsPPTHTML ) { sld.style.visibility=3D"visible" return } if( MakeNotesVis() ) return runAnimations =3D _InitAnimations(); if( IsWin("PPTSld") ) parent.SldUpdated(GetSldId()) g_origSz=3DparseInt(SlideObj.style.fontSize) g_origH=3Dsld.style.posHeight g_origW=3Dsld.style.posWidth g_scaleHyperlinks=3D(document.all.tags("AREA").length>0) if( g_scaleHyperlinks ) InitHLinkArray() if( g_scaleInFrame||(IsWin("PPTSld") && parent.IsFullScrMode() ) ) document.body.scroll=3D"no" _RSW() if( IsWin("PPTSld") && parent.IsFullScrMode() ) FullScrInit(); =09 MakeSldVis(); ChkAutoAdv() if( runAnimations ) { if( document.all("NSPlay") ) document.all("NSPlay").autoStart =3D false; if( sld.filters && sld.filters.revealtrans ) setTimeout( "document.body.start()", sld.filters.revealtrans.duration * = 1000 ); else document.body.start(); } } function MakeSldVis() { var fTrans=3Dg_showAnimation && SldHasTrans() if( fTrans ) { if( g_bgSound ) { idx=3Dg_bgSound.indexOf(","); pptSound.src=3Dg_bgSound.substr( 0, idx ); pptSound.loop=3D -(parseInt(g_bgSound.substr(idx+1))); } SlideObj.filters.revealtrans.Apply() } SlideObj.style.visibility=3D"visible" if( fTrans ) SlideObj.filters.revealtrans.Play() } function MakeNotesVis() { if( !IsNts() ) return false SlideObj.style.display=3D"none" nObj =3D document.all.item("NotesObj") parent.SetHasNts(0) if( nObj ) { nObj.style.display=3D"" parent.SetHasNts(1) } return 1 } function ChkAutoAdv() { if(SldHasTrans()) SlideObj.onfilterchange=3DAutoAdv else AutoAdv() } function AutoAdv() { if(!IsWin("PPTSld") || !gUseSldTimings )return var sld=3DGetCurSld() if( (sld.mAdvDelay>0) && !parent.IsFramesMode() ) setTimeout("parent.GoToNextSld()",sld.mAdvDelay) } function GetObj(id) { if(g_supportsPPTHTML) return document.all(id); else return document.getElementById(id); } function SldHasTrans() { return SlideObj.style.getAttribute("filter")!=3D""= } function GetSldId() { return sId=3Dlocation.href.substring(location.href.la= stIndexOf('/')+1) } function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx= tmenu") && PPTSld.ctxtmenu.style.display!=3D"none" ) { PPTSld.ctxtmenu.styl= e.display=3D'none'; return true } return false } function IsWin( name ) { return window.name =3D=3D name } function IsNts() { return IsWin("PPTNts") } function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) } function SupportsPPTAnimation() { return( navigator.platform =3D=3D "Win32"= && navigator.appVersion.indexOf("Windows")>0 ) } function SupportsPPTHTML() { var appVer=3Dnavigator.appVersion, msie=3DappVer.indexOf("MSIE "), ver=3D0 if( msie >=3D 0 ) ver=3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) ) else ver=3DparseInt(appVer) return( ver >=3D 4 && msie >=3D 0 ) } function _RSW() { if( !g_supportsPPTHTML || IsNts() || ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) ) return var padding=3D0; if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=3D6 cltWidth=3Ddocument.body.clientWidth-padding cltHeight=3Ddocument.body.clientHeight-padding factor=3D(1.0*cltWidth)/g_origW if( cltHeight < g_origH*factor ) factor=3D(1.0*cltHeight)/g_origH newSize =3D g_origSz * factor if( newSize < 1 ) newSize=3D1 s=3DSlideObj.style s.fontSize=3DnewSize+"px" s.posWidth=3Dg_origW*factor s.posHeight=3Dg_origH*factor s.posLeft=3D(cltWidth-s.posWidth+padding)/2 s.posTop=3D(cltHeight-s.posHeight+padding)/2 if( g_scaleHyperlinks ) ScaleHyperlinks( factor ) } function _InitAnimations() { animRuntimeInstalled =3D ''+document.body.localTime !=3D 'undefined'; isFullScreen =3D (window.name =3D=3D "PPTSld") && !parent.IsFramesMode(); g_animUseRuntime =3D g_showAnimation && animRuntimeInstalled && !(isFullSc= reen && parent.IsSldVisited()); if( g_animUseRuntime ) { collSeq =3D document.all.tags("seq"); if( collSeq !=3D null ) { for(ii=3D0;ii<collSeq.length;ii++) { if( collSeq[ii].getAttribute( "p:nodeType" ) =3D=3D "mainSeq" ) { g_animMainSequence =3D collSeq[ii]; break; } } } if( g_animItemsToHide ) { for(jj =3D 0; jj < g_animItemsToHide.length; jj++) { if( hideObj =3D GetObj(g_animItemsToHide[jj]) ) hideObj.runtimeStyle.visibility=3D"hidden"; } } if( g_animInteractiveItems ){ for(jj =3D 0; jj < g_animInteractiveItems.length; jj++) { if( triggerObj =3D GetObj(g_animInteractiveItems[jj]) ) triggerObj.runtimeStyle.cursor=3D"hand"; } } if( gUseSldTimings && ''+g_animSlideTime !=3D 'undefined' ) { adjustedTime =3D document.body.calculateAutoAdvanceTimes( g_animSlideTim= e, g_animEffectTimings ); if( IsWin("PPTSld") && adjustedTime !=3D g_animSlideTime ) { var sld =3D GetCurSld(); sld.mAdvDelay =3D adjustedTime * 1000; } } } return g_animUseRuntime; } gSldJump =3D 0, gSldJumpTrack =3D 0, gSldJumpIdx =3D ""; function _KPH() { if( IsNts() ) return; if( !parent.IsFramesMode() && event.keyCode =3D=3D 27 && !HideMenu() ) parent.window.close( self ); else if( event.keyCode =3D=3D 32 ) { if( window.name =3D=3D "PPTSld" ) parent.PPTSld.DocumentOnClick(); else parent.GoToNextSld(); } CatchNumKeys( parent, event ); } function CatchNumKeys( win, event ) { if( win.IsFullScrMode() && (48<=3Devent.keyCode) && (event.keyCode<=3D57) = ) { gSldJump =3D 1; gSldJumpIdx +=3D (event.keyCode-48).toString(); } if( win.IsFullScrMode() && gSldJump && event.keyCode =3D=3D 13 ) { var numSlds =3D parent.GetSldList().mList.length if ( gSldJumpIdx > numSlds ) gSldJumpIdx =3D numSlds; if ( gSldJumpIdx >=3D 0 ) { if ( gSldJumpIdx =3D=3D 0 ) gSldJumpIdx =3D 1; var jumpTo =3D parseInt(gSldJumpIdx); gSldJump =3D 0; gSldJumpIdx =3D ""; win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref ) } } } function _KDH() { if( event.keyCode =3D=3D 8 ) { event.returnValue =3D 0; parent.GoToPrevSld(); } } function DocumentOnClick() { if( IsNts() || parent.HideMenu() ) return; if( ( g_allowAdvOnClick && (window.name=3D=3D"PPTSld") && !parent.IsFrames= Mode() ) || (event && event.keyCode=3D=3D32) ) { if( g_animUseRuntime && g_animMainSequence && g_animMainSequence.cangonex= t ) return; parent.GoToNextSld(); } } var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""= , g_bgSound=3D"", g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser = =3D 0, gLoopCont =3D 0, gUseSldTimings =3D 0; var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w= indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va= r g_animManager =3D null; var g_animUseRuntime =3D false; var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime; var g_animMainSequence =3D null; var ENDSHOW_MESG=3D"End of slide show, click to exit.", SCREEN_MODE=3D"Fram= es", gIsEndShow=3D0, NUM_VIS_SLDS=3D28, SCRIPT_HREF=3D"script.js", FULLSCR_= HREF=3D"fullscreen.htm"; var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO= tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D true window.gPPTHTML=3DSupportsPPTHTML() var gMainDoc=3Dnew Array(new hrefList("slide0001.htm",1,28241,1),new hrefLi= st("slide0003.htm",1,65889,1),new hrefList("slide0005.htm",1,41361,1),new h= refList("slide0032.htm",1,179009,1),new hrefList("slide0037.htm",1,112385,1= ),new hrefList("slide0006.htm",1,101425,1),new hrefList("slide0007.htm",1,8= 7281,1),new hrefList("slide0008.htm",1,45649,1),new hrefList("slide0038.htm= ",1,-1,1),new hrefList("slide0010.htm",1,83297,1),new hrefList("slide0011.h= tm",1,53153,1),new hrefList("slide0012.htm",1,115841,1),new hrefList("slide= 0014.htm",1,1,1),new hrefList("slide0015.htm",1,67057,1),new hrefList("slid= e0016.htm",1,19825,1),new hrefList("slide0017.htm",1,77841,1),new hrefList(= "slide0018.htm",1,84945,1),new hrefList("slide0019.htm",1,113185,1),new hre= fList("slide0040.htm",1,61665,1),new hrefList("slide0023.htm",1,17,1),new h= refList("slide0024.htm",1,106929,1),new hrefList("slide0026.htm",1,52481,1)= ,new hrefList("slide0028.htm",1,86849,1),new hrefList("slide0029.htm",1,754= 57,1),new hrefList("slide0036.htm",1,179009,1),new hrefList("slide0041.htm"= ,1,-1,1),new hrefList("slide0030.htm",1,129985,1),new hrefList("slide0042.h= tm",1,-1,1)); function FullScrInit() { g_allowAdvOnClick =3D GetCurSld().mAdvOnClk document.body.style.backgroundColor=3D"black" document.oncontextmenu=3Dparent._CM; document.onkeydown =3D _KDH; document.ondragstart=3DCancel document.onselectstart=3DCancel self.focus() } function Redirect( frmId ) { var str=3Ddocument.location.hash,idx=3Dstr.indexOf('#'), sId=3DGetSldId() if(idx>=3D0) str=3Dstr.substr(1); if( window.name !=3D frmId && ( sId !=3D str) ) { obj =3D GetObj("Main-File") window.location.href=3Dobj.href+"#"+sId return 1 } return 0 } var MHTMLPrefix =3D CalculateMHTMLPrefix(); function CalculateMHTMLPrefix() { if ( document.location.protocol =3D=3D 'mhtml:') { href=3Dnew String(document.location.href) Start=3Dhref.indexOf('!')+1 End=3Dhref.lastIndexOf('/')+1 if (End < Start) return href.substring(0, Start) else return href.substring(0, End) } return ''; } function GetTags(base,tag) { if(g_supportsPPTHTML) return base.all.tags(tag); else return base.getElementsByTagName(tag); } function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP= refix+GetHrefObj( gCurSld ).mNtsHref ) } function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() } function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() } function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() } function SetHasNts( fVal ) { if( gHasNts !=3D fVal ) { gHasNts=3DfVal UpdNavPane() } } function ToggleOtlText() { gOtlTxtExp=3D!gOtlTxtExp UpdOtlPane() } function ToggleOtlPane() { frmset=3Ddocument.all("PPTHorizAdjust") frm=3Ddocument.all("PPTOtl") if( gOtlOpen ) frmset.cols=3D"*,100%" else frmset.cols=3D"25%,*" gOtlOpen=3D!gOtlOpen frm.noResize=3D!frm.noResize UpdOtNavPane() } function ToggleNtsPane() { frmset=3Ddocument.all("PPTVertAdjust") frm=3Ddocument.all("PPTNts") if( gNtsOpen ) frmset.rows=3D"100%,*" else frmset.rows=3D"*,20%" gNtsOpen=3D!gNtsOpen UpdNtsPane() } function ClearMedia() { if (PPTSld.pptSound) PPTSld.pptSound.loop =3D 0; } function FullScreen() { if ( PPTSld.g_animUseRuntime ) PPTSld.document.body.pause(); ClearMedia(); var href =3D ( document.location.protocol =3D=3D 'mhtml:') ? FULLSCR_HREF = : FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref; if(PPTNav.event.ctrlKey) { var w =3D (window.screen.availWidth * 1.0) / 2.0 var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top= =3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h ); if( PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } else { win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" ); if( PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } } function ToggleVNarration() { rObj=3DPPTSld.document.all("NSPlay") if( rObj && !PPTSld.g_animUseRuntime ) { if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) ) rObj.Play() else if( rObj.playState =3D=3D 2 ) rObj.Pause() else return; } else if( PPTSld.g_animUseRuntime ) { narObj =3D PPTSld.document.all("narrationID") if( narObj ) narObj.togglePause() } } function GetCurSldNum() { obj=3DGetHrefObj(gCurSld) if( obj.mOrigVis =3D=3D 1 ) return obj.mSldIdx else return gCurSld } function GetNumSlds() { if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 ) return GetSldList().mNumVisSlds; else return GetSldList().mList.length } function GetSldNum( href ) { for(ii=3D0; ii<GetSldList().mList.length; ii++) { if ( GetSldList().mList[ii].mSldHref =3D=3D href ) return ii+1 } return 1 } function GetHrefObj( sldIdx ){ return GetSldList().mList[sldIdx-1] } function IsFramesMode(){ return ( SCREEN_MODE =3D=3D "Frames" ) } function IsFullScrMode(){ return ( SCREEN_MODE =3D=3D "FullScreen" ) } function GoToNextSld() { ii=3DgCurSld + 1 if( GetHrefObj( ii-1 ).mOrigVis =3D=3D 0 ) { if( ii<=3DGetSldList().mList.length ) { obj=3DGetHrefObj(ii) obj.mVis=3D1 GoToSldNum(ii) return } } else { obj=3DGetHrefObj( ii ) while ( obj && ( obj.mOrigVis =3D=3D 0 ) ) obj=3DGetHrefObj(++ii) if( obj && obj.mOrigVis ) { GoToSldNum(ii) return } } if( gSldStack.length > 1 ) PopSldList(); else if( !IsFramesMode() ) { if( gLoopCont ) GoToFirst() else EndShow() } } function GoToPrevSld() { ii=3DgCurSld-1 if( ii > 0 ) { obj=3DGetHrefObj(ii) while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) ) obj=3DGetHrefObj(--ii) if( ii =3D=3D 0 ) ii=3D1 GoToSldNum(ii) } } function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) } function GoToLast() { ii=3DGetSldList().mList.length if( ii !=3D gCurSld ) GoToSld( GetHrefObj(ii).mSldHref ) } function GoToSldNum( num ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue obj =3D GetHrefObj( num ) obj.mVis=3D1 gPrevSld=3DgCurSld gCurSld =3D num; PPTSld.location.replace(MHTMLPrefix+obj.mSldHref) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function GoToSld( href ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue GetHrefObj( GetSldNum(href) ).mVis=3D1 PPTSld.location.replace(MHTMLPrefix+href) } function SldUpdated( id ) { if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return gPrevSld=3DgCurSld gCurSld=3DGetSldNum(id) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) } function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO= bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) } function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) } function CloseWindow() { if( HideMenu() ) return; var event =3D PPTSld.event; if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D= =3D32 || event.type=3D=3D"click" ) ) window.close( self ); CatchNumKeys( self, event ); } function Unload() { gIsEndShow=3D0; } function SetupEndShow() { gIsEndShow=3D1; PPTSld.document.body.scroll=3D"no"; PPTSld.document.onkeypress=3DCloseWindow; PPTSld.document.onclick=3DCloseWindow; PPTSld.document.oncontextmenu=3D_CM; } function EndShow() { if( IsFramesMode() ) return if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue doc=3DPPTSld.document doc.open() doc.writeln('<html><body bgcolor=3Dblack onload=3Dparent.SetupEndShow() on= unload=3Dparent.Unload()><center><p><font face=3DTahoma color=3Dwhite size= =3D2><br><b>' + ENDSHOW_MESG + '</b></font></p></center></body></html>') doc.close() } function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue } function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited } function hrefList( sldHref, visible, advDelay, advClk ) { this.mSldHref=3D this.mNtsHref =3D sldHref this.mOrigVis=3D this.mVis =3D visible this.mVisited=3D false this.mAdvDelay=3D advDelay this.mAdvOnClk=3D advClk } function SldList(arr,curSld,fEnd) { this.mCurSld =3D curSld; this.mList =3D new Array(); var idx =3D 1; for(ii=3D0;ii<arr.length;ii++) { this.mList[ii] =3D new hrefList( arr[ii].mSldHref, arr[ii].mOrigVis, arr[= ii].mAdvDelay, arr[ii].mAdvOnClk ); if( arr[ii].mOrigVis ) this.mList[ii].mSldIdx =3D idx++; } this.mNumVisSlds =3D idx-1; this.fEndShow =3D fEnd; } function GetSldList() { return gSldStack[gSldStack.length-1] } function GetCurSld() { return parent.GetSldList().mList[parent.gCurSld - 1]= } gSldStack =3D new Array(); gSldStack[0] =3D new SldList(gMainDoc,gCurSld,1) function ViewCustomShow(idx,fEnd) { if( !IsFullScrMode() ) return; var sldList =3D new Array(); var custShow =3D custShowList[idx-1]; var jj =3D 0; for( ii=3D0;ii<custShow.length;ii++ ) { if( custShow[ii] <=3D gMainDoc.length ) sldList[jj++] =3D gMainDoc[custShow[ii]-1]; } if (sldList.length > 0) { PushSldList(sldList,fEnd); gCurSld =3D 1; } else if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue } function PushSldList(arr,fEnd) { var ii =3D gSldStack.length; gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd); GoToSld( gSldStack[ii].mList[0].mSldHref ); } function PopSldList() { if (gSldStack[gSldStack.length-1].fEndShow) EndShow() else { gCurSld =3D gSldStack[gSldStack.length-1].mCurSld; gSldStack[gSldStack.length-1] =3D null; gSldStack.length--; var sldList =3D gSldStack[gSldStack.length-1]; GoToSld( sldList.mList[gCurSld - 1].mSldHref ); } } var custShowList=3Dnew Array(); function ImgBtn( oId,bId,w,action ) { var t=3Dthis t.Perform =3D _IBP t.SetActive =3D _IBSetA t.SetInactive=3D _IBSetI t.SetPressed =3D _IBSetP t.SetDisabled=3D _IBSetD t.Enabled =3D _IBSetE t.ChangeIcon =3D null t.UserAction =3D action t.ChgState =3D _IBUI t.mObjId =3D oId t.mBorderId=3D bId t.mWidth =3D w t.mIsOn =3D t.mCurState =3D 0 } function _IBSetA() { if( this.mIsOn ) { obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 ) obj.style.posTop=3D0 } } function _IBSetI() { if( this.mIsOn ) { obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 ) obj.style.posTop=3D0 } } function _IBSetP() { if( this.mIsOn ) { obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 ) obj.style.posLeft+=3D1; obj.style.posTop+=3D1 } } function _IBSetD() { obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 ) obj.style.posTop=3D0 } function _IBSetE( state ) { var t=3Dthis GetObj( t.mBorderId ).style.visibility=3D"visible" if( state !=3D t.mIsOn ) { t.mIsOn=3Dstate if( state ) t.SetInactive() else t.SetDisabled() } } function _IBP() { var t=3Dthis if( t.mIsOn ) { if( t.UserAction !=3D null ) t.UserAction() if( t.ChangeIcon ) { obj=3DGetObj(t.mObjId) if( t.ChangeIcon() ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth else obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth } t.SetActive() } } function _IBUI( clr1,clr2,nextState ) { var t=3Dthis SetBorder( GetObj( t.mBorderId ),clr1,clr2 ) obj=3DGetObj( t.mObjId ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj= .style.posTop t.mCurState=3DnextState return obj } function TxtBtn( oId,oeId,action,chkState ) { var t=3Dthis t.Perform =3D _TBP t.SetActive =3D _TBSetA t.SetInactive=3D _TBSetI t.SetPressed =3D _TBSetP t.SetDisabled=3D _TBSetD t.SetEnabled =3D _TBSetE t.GetState =3D chkState t.UserAction =3D action t.ChgState =3D _TBUI t.mObjId =3D oId t.m_elementsId=3D oeId t.mIsOn =3D 1 } function _TBSetA() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gHiliteClr,gShadowClr,0,0 ) } function _TBSetI() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) } function _TBSetP() { if( this.mIsOn ) this.ChgState( gShadowClr,gHiliteClr,1,1 ) } function _TBSetD() { this.ChgState( gFaceClr,gFaceClr,0,0 ) this.mIsOn =3D 0 } function _TBSetE() { var t=3Dthis if( !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) else t.ChgState( gShadowClr,gHiliteClr,1,1 ) t.mIsOn =3D 1 } function _TBP() { var t=3Dthis if( t.mIsOn ) { if( t.UserAction !=3D null ) t.UserAction() if( !t.GetState ) return if( t.GetState() ) t.SetPressed() else t.SetActive() } } function _TBUI( clr1,clr2,lOffset,tOffset ) { SetBorder( GetObj( this.mObjId ),clr1,clr2 ) Offset( GetObj( this.m_elementsId ),lOffset,tOffset ) } function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle= ft } function SetBorder( obj, upperLeft, lowerRight ) { s=3Dobj.style; s.borderStyle =3D "solid" s.borderWidth =3D 1 s.borderLeftColor =3D s.borderTopColor =3D upperLeft s.borderBottomColor=3D s.borderRightColor =3D lowerRight } function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] } function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() } function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() } function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() } function BtnOnUp() { b=3DGetBtnObj() if( b !=3D null ) b.Perform() else Upd() } function GetNtsState(){ return parent.gNtsOpen } function GetOtlState(){ return parent.gOtlOpen } function GetOtlTxtState(){ return parent.gOtlTxtExp } function NtsBtnSetFlag( fVal ) { s=3Ddocument.all.item( this.m_flagId ).style s.display=3D"none" if( fVal ) s.display=3D"" else s.display=3D"none" } function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etActive() } function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etInactive() } var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"= THREEDFACE" var gBtnArr =3D new Array() gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan= e,GetOtlState ) gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt= lPane,GetOtlState ) gBtnArr["nb_nts"] =3D new TxtBtn( "nb_nts","nb_ntsElem",parent.ToggleNtsPan= e,GetNtsState ) gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","nb_prevBorder",30,parent.GoToP= revSld ) gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","nb_nextBorder",30,parent.GoToN= extSld ) gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent= .FullScreen ) gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa= rent.FullScreen,null ) gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border; gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent= .FullScreen,null ) gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border; gBtnArr["nb_voice"] =3D new ImgBtn( "nb_voice","nb_voiceBorder",18,parent.= ToggleVNarration ) gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlTxt","nb_otlTxtBorder",23,parent= .ToggleOtlText ) gBtnArr["nb_nts"].m_flagId=3D "notes_flag" gBtnArr["nb_nts"].SetFlag =3D NtsBtnSetFlag gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState var sNext=3D"Next",sPrev=3D"Previous",sEnd=3D"End Show",sFont=3D"Arial",sAr= row=3D"Arrow",sFreeform=3D"Freeform",sRect=3D"Rectangle",sOval=3D"Oval" function ShowMenu() { BuildMenu(); var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y= =3DPPTSld.event.clientY+doc.scrollTop m =3D PPTSld.document.all.item("ctxtmenu") m.style.pixelLeft=3Dx if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) ) m.style.pixelLeft=3Dx-m.scrollWidth m.style.pixelTop=3Dy if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) ) m.style.pixelTop=3Dy-m.scrollHeight m.style.display=3D"" } function _CM() { if( !parent.IsFullScrMode() ) return; if(!PPTSld.event.ctrlKey) { ShowMenu() return false } else HideMenu() } function BuildMenu() { if( PPTSld.document.all.item("ctxtmenu") ) return var mObj=3DCreateItem( PPTSld.document.body ) mObj.id=3D"ctxtmenu" mObj.style.visibility=3D"hidden" var s=3DmObj.style s.position=3D"absolute" s.cursor=3D"default" s.width=3D"120px" SetCMBorder(mObj,"menu","black") var iObj=3DCreateItem( mObj ) SetCMBorder( iObj, "threedhighlight","threedshadow" ) iObj.style.padding=3D2 CreateMenuItem( iObj,sNext,M_GoNextSld,M_True ) CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld ) CreateSeparator( iObj ) CreateMenuItem( iObj,sEnd,M_End,M_True ) mObj.style.visibility=3D"visible" } function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa= lue=3Dfalse } function Highlight() { ChangeClr("activecaption","threedhighlight") } function Deselect() { ChangeClr("threedface","menutext") } function Perform() { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) e.Action() else PPTSld.event.cancelBubble=3Dtrue } function ChangeClr( bg,clr ) { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) { e.style.backgroundColor=3Dbg e.style.color=3Dclr } } function M_HasPrevSld() { return( parent.HasPrevSld() ) } function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() } function M_GoPrevSld() { if( gIsEndShow ) { history.back(); PPTSld.event.ca= ncelBubble=3Dtrue; } else GoToPrevSld() } function M_True() { return true } function M_End() { window.close( self ) } function CreateMenuItem( node,text,action,eval ) { var e=3DCreateItem( node ) e.type=3D"menuitem" e.Action=3Daction e.IsActive=3Deval e.innerHTML=3Dtext if( !e.IsActive() ) e.style.color=3D"threedshadow" e.onclick=3DPerform e.onmouseover=3DHighlight e.onmouseout=3DDeselect s=3De.style; s.fontFamily=3DsFont s.fontSize=3D"9pt" s.paddingLeft=3D2 } function CreateSeparator( node ) { var sObj=3DCreateItem( node ) SetCMBorder(sObj,"menu","menu") var s=3DsObj.style s.borderTopColor=3D"threedshadow" s.borderBottomColor=3D"threedhighlight" s.height=3D1 s.fontSize=3D"0px" } function CreateItem( node ) { var elem=3DPPTSld.document.createElement("DIV") node.insertBefore( elem ) return elem } function SetCMBorder( o,ltClr,rbClr ) { var s=3Do.style s.backgroundColor=3D"menu" s.borderStyle=3D"solid" s.borderWidth=3D1 s.borderColor=3DltClr+" "+rbClr+" "+rbClr+" "+ltClr } ------=_NextPart_01C36D5E.4915BA60 Content-Location: file:///C:/D928290E/AdaptationGen_files/fullscreen.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; 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charset="us-ascii" <html> <head> <meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"> <meta name=3DProgId content=3DPowerPoint.Slide> <meta name=3DGenerator content=3D"Microsoft PowerPoint 10"> <link id=3DMain-File rel=3DMain-File href=3D"../AdaptationGen.htm"> <link rel=3DPreview href=3Dpreview.wmf> <title>Learning and Adaptation in Competitive and Dynamic Environment</titl= e> <![if IE]> <base href=3D"file:///C:\D928290E\AdaptationGen_files\frame.htm" id=3D"webarch_temp_base_tag"> <![endif]><![if !ppt]><script src=3Dscript.js></script><script>  </script>  <![endif]> </head> <frameset rows=3D"*,25" border=3D0> <frameset cols=3D"25%,*" id=3DPPTHorizAdjust framespacing=3D2> <frameset rows=3D"100%,*"> <frame src=3Doutline.htm title=3D"Outline" name=3DPPTOtl> </frameset> <frameset rows=3D"*,40" id=3DPPTVertAdjust framespacing=3D2 frameborder= =3D1 onload=3D"Load()"> <frame src=3Dslide0001.htm title=3D"Slide" name=3DPPTSld> <frame src=3Dslide0001.htm title=3D"Notes" name=3DPPTNts> </frameset> </frameset> <frameset cols=3D"25%,*" framespacing=3D1> <frame src=3Doutline.htm title=3D"Outline Navigation Bar" name=3DPPTOtlNav scrolling=3Dno noresize> <frame src=3Doutline.htm title=3D"Slide Navigation Bar" name=3DPPTNav scrolling=3Dno noresize> </frameset> </frameset> </html> ------=_NextPart_01C36D5E.4915BA60 Content-Location: file:///C:/D928290E/AdaptationGen_files/outline.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" <html> <head> <meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"> <meta name=3DProgId content=3DPowerPoint.Slide> <meta name=3DGenerator content=3D"Microsoft PowerPoint 10"> <link id=3DMain-File rel=3DMain-File href=3D"../AdaptationGen.htm"> <link rel=3DPreview href=3Dpreview.wmf> <![if IE]> <base href=3D"file:///C:\D928290E\AdaptationGen_files\outline.htm" id=3D"webarch_temp_base_tag"> <![endif]> <meta name=3DRobots content=3DNoIndex> <script src=3Dscript.js></script><script></script> <style>  </style> </head> <body onload=3D"Load()" style=3D'margin:2px'> <div id=3DNavObj onload=3D"Load()" onmouseover=3D"BtnOnOver()" onmousedown=3D"BtnOnDown()" onmouseout=3D"BtnOnOut()" onmouseup=3D"BtnOnUp(= )" onkeypress=3D"_KPH()" style=3D'display:none;visibility:hidden'> <table id=3D"notesBtn" style=3D'position:absolute;display:none;width:70px' = align=3Dleft cellpadding=3D0 cellspacing=3D0> <td nowrap> <div id=3D"nb_ntsElem" align=3Dcenter style=3D'position:relative;padding:3= px; font-family:Arial;color:buttontext;font-size:9pt'><img src=3D"notes_flag.g= if" border=3D0 id=3D"notes_flag" style=3D'display:none'><span style=3D'mso-spacerun:yes'> </span>Notes</div> <div title=3D"Show/Hide Notes" id=3D"nb_nts" style=3D'position:absolute;top:0%; left:0%;width:100%;height:100%'></div> </td> </table> <table style=3D'position:relative;width:70px' align=3Dright cellpadding=3D0= cellspacing=3D0> <td nowrap> <div id=3D"nb_sldshwText" title=3D"Full Screen Slide Show" align=3Dcenter style=3D'position:relative;margin-left:20= px;padding:3px; font-family:Arial;color:buttontext;font-size:9pt;cursor:default'>Slide Show</div> <div id=3D"nb_sldshwBorder" title=3D"Full Screen Slide Show" style=3D'posi= tion:absolute;top:0%;left:0%;width:100%;height:20px'> <div style=3D'position:absolute;clip:rect(0px, 18px, 18px, 0px)'><img src=3D"buttons.gif" id=3D"nb_sldshw" style=3D'position:relative;left:-254p= x'></div> </div> </td> <td> <div id=3D"nb_voiceBorder" style=3D'display:none;position:absolute;top:0;l= eft:-40px; 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color:buttontext;font-size:9pt'>Outline</div></div> </td> </table> <table style=3D'position:relative' align=3Dcenter cellpadding=3D0 cellspaci= ng=3D0> <td> <div style=3D'position:absolute;left:-18px;width:24px;height:20px;border-s= tyle: solid;border-width:1px;border-color:threedface' id=3D"nb_otlTxtBorder"> <div style=3D'position:absolute;clip:rect(0px, 22px, 18px, 0px)'><img src=3Dbuttons.gif id=3D"nb_otlTxt" title=3D"Expand/Collapse Outline" style=3D'position:relative;left:-157px'></div> </div> </td> </table> </div> <div id=3DOtlObj style=3D'display:none;visibility:hidden;'> <table width=3D"100%" style=3D'font-family:Arial;font-size:9pt'> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>1</font></div> </td> <td width=3D"100%"> <div id=3DPPTP1 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0001.htm');" id=3DPPTL1><span dir=3Dltr>= Learning and Adaptation in Competitive and Dynamic Environments</span></a></font><= /div> <div id=3DPPTC1 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Shie Mannor</li> <br> <br> <br> <li>Laboratory for Information and Decision Systems</li> <li>Massachusetts Institute of Technology</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>2</font></div> </td> <td> <div id=3DPPTP2 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0003.htm');" id=3DPPTL2>Problem Definiti= on</a></font></div> <div id=3DPPTC2 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>A single decision maker is facing a dynamic</li> <li>environment and several agents. The decision</li> <li>maker wants to:</li> <br> <br> <li>Safety – Guarantee worst case performance level always.</li> <li>Adaptation – Obtain improved performance if the other agents a= re not completely adversarial.</li> <br> <br> <li>[Fudenberg & Levine 98].</li> <br> <br> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>3</font></div> </td> <td> <div id=3DPPTP3 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0005.htm');" id=3DPPTL3>Regret Minimizat= ion</a></font></div> <div id=3DPPTC3 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Performance is measured with respect to past</li> <li>observations – the decision maker should not</li> <li>“feel sorry” for actions taken in the past.</li> <br> <br> <br> <li>A strategy is “optimal” if in retrospective</li> <li>nothing better could have been done.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>4</font></div> </td> <td> <div id=3DPPTP4 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0032.htm');" id=3DPPTL4>Applications = 211; “Online Planning”</a></font></div> <div id=3DPPTC4 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Action: Transmit / probe</li> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>5</font></div> </td> <td> <div id=3DPPTP5 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0037.htm');" id=3DPPTL5>Applications - Alternative Routing</a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>6</font></div> </td> <td> <div id=3DPPTP6 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0006.htm');" id=3DPPTL6>Modeling issues</= a></font></div> <div id=3DPPTC6 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>How to model environments with multiple agents?</li> <li>Stationary <font face=3DWingdings>è</font><font face=3DVerdan= a> Markov Decision Process</font></li> <li>Hostile <font face=3DWingdings>è</font><font face=3DVerdana> = Zero-sum (stochastic) game</font></li> <li>Rational <font face=3DWingdings>è</font><font face=3DVerdana> non-zero sum games</font></li> <li>Arbitrary <font face=3DWingdings>è</font><font face=3DVerdana= > Regret minimization</font></li> <br> <br> <li>Why Regret minimization?</li> <li>Why not Regret minimization?</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>7</font></div> </td> <td> <div id=3DPPTP7 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0007.htm');" id=3DPPTL7><span dir=3Dltr>= An Example</span></a></font></div> <div id=3DPPTC7 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Chess master wants to win as many games as</li> <li>possible in a single day.</li> <li>Master’s goal – minimize regret.</li> <br> <br> <li>How should she play?</li> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>8</font></div> </td> <td> <div id=3DPPTP8 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0008.htm');" id=3DPPTL8><span dir=3Dltr>= The Chess Master</span></a></font></div> <div id=3DPPTC8 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Scenarios:</li> <li>All opponents are experts<br> <font face=3DWingdings>è</font><font face=3DVerdana> p= lay cautiously.</font></li> <li>All opponents are novices <br> <font face=3DWingdings>è</font><font face=3DVerdana> p= lay speculatively.</font></li> <li>Some are novices and some are experts <font face=3DWingdings>è= ;</font><font face=3DVerdana> depends on the ratio.</font></li> <br> <br> <li>Can the chess master outperform each of</li> <li>the fixed strategies?</li> <li>Safety: Play cautiously.</li> <li>Adaptation: Take advantage of frequent novices.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>9</font></div> </td> <td> <div id=3DPPTP9 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0038.htm');" id=3DPPTL9><span dir=3Dltr>= Solutions overview</span></a></font></div> <div id=3DPPTC9 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>A solution concept is:</li> <ul> <li>A prescription of a strategy.</li> <li>A performance guarantee that depends on history – safe and adaptive.</li> <br> <br> </ul> <li>Two concepts:</li> <ul> <li>Empirical envelopes [Mannor & Shimkin 01, 02]</li> <li>Super games [Mannor 02, Mannor & Shimkin 03]</li> </ul> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>10</font></div> </td> <td> <div id=3DPPTP10 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0010.htm');" id=3DPPTL10>Two Player Stoc= hastic Games</a></font></div> <div id=3DPPTC10 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Two players: P1 and P2</li> <li>Current state:</li> <li>Action of P1:</li> <li>Action of P2:</li> <li>P1’s reward:</li> <li>Next state:</li> <br> <br> <li>Performance criterion:</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>11</font></div> </td> <td> <div id=3DPPTP11 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0011.htm');" id=3DPPTL11>Worst-Case Guar= antees</a></font></div> <div id=3DPPTC11 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>The value of the associated zero-sum game:</li> <br> <br> <br> <br> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>12</font></div> </td> <td> <div id=3DPPTP12 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0012.htm');" id=3DPPTL12><span dir=3Dltr= >Regret Minimization – Matrix Games</span></a></font></div> <div id=3DPPTC12 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Let<span style=3D'mso-spacerun:yes'> </span>= be the empirical distribution of</li> <li>P2’s actions (<span style=3D'mso-spacerun:yes'> = ; &n= bsp; </span>).</li> <br> <br> <li>We say that a strategy has zero regret if:</li> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>13</font></div> </td> <td> <div id=3DPPTP13 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0014.htm');" id=3DPPTL13>Empirical Envel= opes</a></font></div> <div id=3DPPTC13 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li><span style=3D'mso-spacerun:yes'> </sp= an>- measured statistics;<span style=3D'mso-spacerun:yes'> </span>-<s= pan style=3D'mso-spacerun:yes'> </span>the average.</li> <br> <br> <ul> <li>State-action frequency.</li> <li>How often information needed (sensor).</li> </ul> <br> <li><span style=3D'mso-spacerun:yes'> </span>: All P1’s (stationary) strategies</li> <li><span style=3D'mso-spacerun:yes'> </span>: P2’s “compatible” (stationary) strategies= .</li> <li></li> <li>The empirical Bayes envelope is:</li> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>14</font></div> </td> <td> <div id=3DPPTP14 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0015.htm');" id=3DPPTL14><span dir=3Dltr= >Empirical Envelopes</span></a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>15</font></div> </td> <td> <div id=3DPPTP15 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0016.htm');" id=3DPPTL15><span dir=3Dltr= >Empirical Envelopes</span></a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>16</font></div> </td> <td> <div id=3DPPTP16 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0017.htm');" id=3DPPTL16>The Convex Bayes Envelope</a></font></div> <div id=3DPPTC16 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li><span style=3D'mso-spacerun:yes'> </span>- the lower convex hull of</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>17</font></div> </td> <td> <div id=3DPPTP17 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0018.htm');" id=3DPPTL17>The Proof ̵= 1; Step 1</a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>18</font></div> </td> <td> <div id=3DPPTP18 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0019.htm');" id=3DPPTL18>The Proof ̵= 1; Step 2</a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>19</font></div> </td> <td> <div id=3DPPTP19 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0040.htm');" id=3DPPTL19><span dir=3Dltr= >The strategy</span></a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>20</font></div> </td> <td> <div id=3DPPTP20 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0023.htm');" id=3DPPTL20><span dir=3Dltr= >Single Controller Games</span></a></font></div> <div id=3DPPTC20 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Suppose P2 alone affects transitions, statistics are state-action frequencies.</li> <br> <br> <li>Theorem:<span style=3D'mso-spacerun:yes'> = ; </span>is convex, hence attainable.</li> <br> <br> <li>Intuition: Problem decomposes to a series of repeated matrix games.<= /li> <br> <br> <li>A very simple strategy may be developed.</li> <li>Excellent convergence rates.</li> <br> <br> <li>Relations with universal coding/prediction.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>21</font></div> </td> <td> <div id=3DPPTP21 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0024.htm');" id=3DPPTL21><span dir=3Dltr= >Super Games</span></a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>22</font></div> </td> <td> <div id=3DPPTP22 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0026.htm');" id=3DPPTL22>Adversarial Ban= dits</a></font></div> <div id=3DPPTC22 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>N arms, when arm a is pulled a reward is</li> <li>given (in an arbitrary non stationary manner)</li> <li>Only the observed reward is known.</li> <br> <br> <li>P1 goal – attain (asymptotically) a reward</li> <li>which is as high as the best arm.</li> <br> <br> <li>There are algorithms that asymptotically</li> <li>achieve a reward which is as high as the best</li> <li>arm.</li> <li>[Auer et al. 02, Foster and Vohra 93]</li> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>23</font></div> </td> <td> <div id=3DPPTP23 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0028.htm');" id=3DPPTL23>Super Games = 211; Guarantees</a></font></div> <div id=3DPPTC23 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Use the bandits with arms =3D P1’s strategies.</li> <br> <br> <li>Theorem: For every<span style=3D'mso-spacerun:yes'> = ; </span>we can choose L large enough so that:</li> <br> <br> <li>1.<span style=3D'mso-spacerun:yes'> </span>Safety:</li> <br> <br> <li>2.<span style=3D'mso-spacerun:yes'> </span>Adaptation: If P2 p= lays a stationary strategy g then</li> <br> <br> <br> <br> <li>Caveat: Number of super actions is exponential in L and in the numbe= r of states.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>24</font></div> </td> <td> <div id=3DPPTP24 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0029.htm');" id=3DPPTL24>Have Your Cake = & Eat It Too</a></font></div> <div id=3DPPTC24 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Suppose a small number of strategies are of interest:</li> <li><span style=3D'mso-spacerun:yes'> </span>attaining strategy.</li> <li><span style=3D'mso-spacerun:yes'> </span>attaining strategy in a stationary environment.</li> <br> <br> <li>Can be considered as two-armed bandit and guarantee that:</li> <br> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>25</font></div> </td> <td> <div id=3DPPTP25 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0036.htm');" id=3DPPTL25>Applications &#= 8211; “Online Planning”</a></font></div> <div id=3DPPTC25 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Action: Transmit / probe</li> <br> <br> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>26</font></div> </td> <td> <div id=3DPPTP26 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0041.htm');" id=3DPPTL26><span dir=3Dltr= >Online Planning</span></a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>27</font></div> </td> <td> <div id=3DPPTP27 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0030.htm');" id=3DPPTL27><span dir=3Dltr= >Conclusion</span></a></font></div> <div id=3DPPTC27 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>A general framework with no assumptions.</li> <br> <br> <li>Optimality is different than “classical” control</li> <li>or game theory.</li> <br> <br> <li>Two solution concepts:</li> <li>Empirical envelopes – simple and robust.</li> <li>Super games – excellent performance.</li> <br> <br> <li>Safety & Adaptation.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(= this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>28</font></div> </td> <td> <div id=3DPPTP28 class=3DPTxt dir=3Drtl align=3Dleft><font size=3D2><a href=3D"javascript:GoToSld('slide0042.htm');" id=3DPPTL28><span dir=3Dltr= >Extensions</span></a></font></div> <div id=3DPPTC28 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Learning how to play (unknown model)</li> <li>Unobserved / delayed reward</li> <li>Partial observation of state</li> <li>A Reinforcement Learning approach</li> <li>Applications in control/communications: UAVs, Semi cooperative contr= ol in robot teams; Cellular networks; Markets; Storage networks, etc.</= li> <br> <br> </ul> </font></div> </td> </tr> </table> </div> <div style=3D'display:none'><a href=3Dmaster06.htm></a><a href=3Dmaster06.x= ml></a><a href=3Dpreview.wmf></a><a href=3Dmaster07.htm></a><a href=3Dmaster07.xml></= a><a href=3Dmaster02.htm></a><a href=3Dpres.xml></a><a href=3Dslide0001.htm></a>= <a href=3D"master07_image001.gif"></a><a href=3Dslide0003.htm></a><a href=3D"master06_image002.gif"></a><a href=3Dslide0005.htm></a><a href=3Dslide0032.htm></a><a href=3D"slide0032_image003.gif"></a><a href=3D"slide0032_image004.gif"></a><a href=3D"slide0032_image005.wmz"></a>= <a href=3D"slide0032_image006.gif"></a><a 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