From 137f5010f16435d2214446fb850a28e415fbec99 Mon Sep 17 00:00:00 2001 From: qiwang067 Date: Sat, 27 Feb 2021 10:48:46 +0800 Subject: [PATCH] fix ch6 --- docs/chapter6/chapter6.md | 4 +--- docs/chapter6/img/6.4.png | Bin 278982 -> 93221 bytes docs/chapter6/img/6.8.png | Bin 286432 -> 259303 bytes docs/chapter6/img/6.9.png | Bin 346191 -> 279294 bytes 4 files changed, 1 insertion(+), 3 deletions(-) diff --git a/docs/chapter6/chapter6.md b/docs/chapter6/chapter6.md index bb0c089..b4af686 100644 --- a/docs/chapter6/chapter6.md +++ b/docs/chapter6/chapter6.md @@ -71,15 +71,13 @@ $$ **MC 最大的问题就是方差很大。**因为我们在玩游戏的时候,它本身是有随机性的。所以你可以把 $G_a$ 看成一个随机变量。因为你每次同样走到 $s_a$ 的时候,最后你得到的 $G_a$ 其实是不一样的。你看到同样的状态 $s_a$,最后玩到游戏结束的时候,因为游戏本身是有随机性的,玩游戏的模型搞不好也有随机性,所以你每次得到的 $G_a$ 是不一样的,每一次得到 $G_a$ 的差别其实会很大。为什么它会很大呢?因为 $G_a$ 其实是很多个不同的步骤的奖励的和。假设你每一个步骤都会得到一个奖励,$G_a$ 是从状态 $s_a$ 开始,一直玩到游戏结束,每一个步骤的奖励的和。 -举例来说,我在右上角就列一个式子是说, +举例来说,通过下面式子,我们知道 $G_a$ 的方差相较于某一个状态的奖励,它会是比较大的。 $$ \operatorname{Var}[k X]=k^{2} \operatorname{Var}[X] $$ > Var 是指 variance。 -通过这个式子,我们知道 $G_a$ 的方差相较于某一个状态的奖励,它会是比较大的。 - 如果用 TD 的话,你是要去最小化这样的一个式子: ![](img/6.5.png ':size=450') diff --git a/docs/chapter6/img/6.4.png b/docs/chapter6/img/6.4.png index 9fb413434a4e554c9d26502b18403d981aa3faa7..f4d4efcc49bc35d5e42eadc8594bb215a9994c45 100644 GIT binary patch literal 93221 zcmb@uWmFtXw*X3zAi>?;gZtp_F2UU)I0SchcXxLQ5+u00YjB4!xIc2vckg#@PTpGY z$D8T3rn+`*soL7r-4iM=D+ULH4FduK0w*CZtOx=E?f?Svjtc7iTMy!$wZPjCxT%25 z+iz|3hbMiAw{t>6aYY#r5I1rV5T5`LkcYP}p92sOCk7CZBRvoh&J++34BL!W1@1S1 zys?^uiHr;g^;;VX1oRy;2-sWe-P;!=*c=4>uQmwC8>P1oSkAluLUTa>2MX?x1NJ}d zcT~RyS};X2fq;Orm@BI}s>w)m8roRV=^NP?7}L2}+5Q>;!tKKO*0eHq)F*VY`fTmM z>B2+&*9gwH_OEVwV#2?MI9l=$tI5a{3fb5j6SC5=&@mA6!VnS?a@!l3a4HIm{s;Z- zjEC6F(b1NZp5EEnna-J+&c@!9o)G{5&@(X6GcnP=ji7aKwRY5Zp|y4(`J2f9&=EFv zFtj(fbu_oJCj3QL-@wMnk%yT07o-3E{4J-WxygSySv&k^T5l7i{{^9Eq+_7}6PmG$ z`Tq;rFUa3$f6eP}cHF;+amv}78@~zsODtYS?!OrPpT7T!$Nh^6r;yEO8+#>NeM944 z!+-DkeYCu}i}7bQVRI{EYlpu$FasF=gY`S;kErVZKxJTO`zPu@K>tDIrvJ6B|5)e0 zmH1chn-+Otxat4bB6wk3Ck-M%K=?rGA7r%f834*W*g48>)yc(>oM~KOHH^;BiWM33LU}DL#KX z_zCqG2k^dwOLzU@C_;P}4p1to)l&X5@tTxvUOiCqKOIUTK7AQfvubo@f8y!`tu|^$ z@JE3ee5r)H48~C{XfWpfAkv$hG<(emf1XSiDzP4;DGX~;xW%8PLU&k&{Nqfe^`sN8(0r_P_W>nnyR&Swy* zdU6APL@F;70InA^!}A^IS{?O}aD;-Ekxy*fhWI0vPIu4d~#g0B1Lz zX;b`7CM6%A(^{%Y@wV0wB-RXJ9>F@D59iQjT+o%}3O`C!e8laemFkg0{6Z)go}iw;*XR(1s=BR<6`8Owc1FR0pH(1!Ulag#6GZvMO0V_H+`+ zK$pdQbb|fj4RAmK<^`}>POLK^Bm0|BZ>Ms|Z+ewOzLW6OfB^t|Lybmf%n-ad^ivD> z>>2h8uQ^z0eSakP+-w+dpsi><6W<+*kJaYPG@PD?rT$;NNLzzOr82jy><@j!YiA(c z8+4hN#DOdU_K8!6vhb0$oDO|Vo8Z0xH>i~L0-$vqY|B1wMR3}Wd>EOJxLAG!14OZF zH_;y|oY{V}abG*qH)q7vXOsE_?WRjf8aC=AqoA$Tj(W%{HMIu7n}cmdEp{^phkPSWKfk~9a(I$S@rIpzd=1A?eh73SnGV$kA~QX(n^BQpw`4g|vr0GHhW z7r-DR&ezwdx+|~W$uq3Kd1eIrl*wQ<(wfVxjvV8TU7&CDNa!ac6p^%xIQ!3|>_SR5 z)$mUDMr00GlX-X3eFOqxa@ws{u8_oNc20R9_Y6CTR`OKcKq~j(61hbsb4{aMStJs&q441AN0>n z6-`hcI0M~QP1LQtT>LqVHmU14+0H*0&JF&>mqFl{NQjG6nY6TD#$?wgZICm1srv#O zbe=x@dr5vhgGbY`8pRswA>DCPePmzO9{H1V;{S3^{Kp~py#a=K9MR{UN*^hBKf(|zl8lOeZ~8~8Pm`dJYC@L(dKWTJo%Lh zxdMi`{>}Q=fUcdlJZfs+(1S`9nEyjIHfZ_Kz>Jlx@R2W&B@ZxIdNOE#uPRi;Og3 z*ilGch*AS#?hlmj$*_$YF5;vc-MdDKn2p$vYGLUs>$hXx0 zlNxK%5p6+s)(Ub5%F`kxqOi}m6RR&%wZMDA4Q~2YNF;yAGgqT^N zD3Ipva)(uUV248G_mh}(-E8U#sO|9gq0r`Koo3|=nxhJS7=bEf^BXx=lx~Dn`Tk#e z{LDz03n_qnY*9pe+;$riGD1JS(K9Eu3ad* zweLTTE-quUP5Hhi0MF@B6bU=QtCYho~QkvD_-9VB8G8;sQ1c&zMm);;+ug* zkhW`9K}f zk2rLG-Z?7m1C0=CVDF9OZvns8XFqD8BkEIxY*3@Br+?(Z@Hi$_;&#=ksEnpEqX33E z4mI$WN;oviO0B5Nk|eK%(F>(<@HKcsnwof(;fwYaWOGA=^;a)~93G;fPhdc6X+}CD zJXx35ocqi@;r~^R`3?{=j9d6WscfMd6ctS$9A(Nfn$l^=3wE&iD2I?rVH_u z?kAwQ&ep9R;9v_-7lI5f=YdSxCFIEP7x8Cm38P?25%!M6njCfk3~TS||F435pt%ph z`&C9`BXV=aE++1fnJvVp5JzXjuLiLMsQOX>5;Cu|F&-i8{ma|EYy^x zfKX~p@f7>&?~iZh%lsH3t*Mk!Nxo~E=S$taYWaQ9^w^1iDW`%vl=V>WSmKAc!lJm+ zpoG#-aTUb`w=@zH+0SE4qVi?E>TQx0Hde}$SZL*DCv4SYE8kdGBCDPUO3Id9xJq-? 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