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Journal Club: AlphaGo/AlphaGo Zero

Keita Watanabe
October 30, 2021
110

Journal Club: AlphaGo/AlphaGo Zero

Keita Watanabe

October 30, 2021
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    UIFOFVSBMOFUXPSLTQMBZ(PBUUIFMFWFMPGTUBUFPGUIFBSU.POUF $BSMPUSFFTFBSDIQSPHSBNTUIBUTJNVMBUFUIPVTBOETPGSBOEPNHBNFTPG TFMGQMBZ8FBMTPJOUSPEVDFBOFXTFBSDIBMHPSJUINUIBUDPNCJOFT.POUF $BSMPTJNVMBUJPOXJUIWBMVFBOEQPMJDZOFUXPSLT6TJOHUIJTTFBSDIBMHPSJUIN PVS QSPHSBN"MQIB(PBDIJFWFEBXJOOJOHSBUFBHBJOTUPUIFS(PQSPHSBNT  BOEEFGFBUFEUIFIVNBO&VSPQFBO(PDIBNQJPOCZHBNFTUP5IJTJTUIF pSTUUJNFUIBUBDPNQVUFSQSPHSBNIBTEFGFBUFEBIVNBOQSPGFTTJPOBMQMBZFSJOUIF GVMMTJ[FEHBNFPG(P BGFBUQSFWJPVTMZUIPVHIUUPCFBUMFBTUBEFDBEFBXBZ    
  7. 0WFSWJFXPG"MQIB(P 1PMJDZ /FUXPSL 7BMVF /FUXPSL 3PMMPVU 1PMJDZ 1SFEJDUJPOPG.PWF 1SFEJDUJPOPG.PWF 1SFEJDUJPOPG8JO3BUF

    6TFEGPSQMBZPVU -PHJTUJD3FHSFTTJPO 'BTU 6TFEGPS/PEF4FMFDUJPO&YQBOTJPO $// 'BTU $// 3FDPSEPGTUSPOH QMBZFST 4FMGQMBZ 3- .$54
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     w 5IJTNPEFMVTFEGPS3PMMPVU EFUBJMTXJMMCFFYQMBJOFEMBUFS  *OUPUBM'FBUVSFT&YUFOEFE5BCMFPG 4JMWFS
  9. -PHJTUJD3FHSFTTJPO    x1 x2 x109747 Σ u =

    109747 ∑ k=1 wk xk ˜ p = 1 1 + e−u w -PHJTUJD3FHSFTTJPOXJUIXFMMLOPXOGFBUVSFTVTFE JOUIJTpFME w 5SBJOFEXJUINJMMJPOQPTJUJPOTGSPNUIF,(4(P 4FSWFS IUUQTXXXHPLHTDPN
  10. 0WFSWJFXPG"MQIB(P 1PMJDZ /FUXPSL 7BMVF /FUXPSL 3PMMPVU 1PMJDZ 1SFEJDUJPOPG.PWF 1SFEJDUJPOPG.PWF 1SFEJDUJPOPG8JO3BUF

    6TFEGPSQMBZPVU -PHJTUJD3FHSFTTJPO 'BTU 6TFEGPS/PEF4FMFDUJPO&YQBOTJPO $// 'BTU $// 3FDPSEPGTUSPOH QMBZFST 4FMGQMBZ 3- .$54
  11. 4-1PMJDZ/FUXPSL w $POWPMVUJPOBM/FVSBM/FUXPSL w 5SBJOFEXJUI,(4EBUBTFUNJMMJPOQPTJUJPOTGSPNHBNFTQMBZFECZ,(4 UPEBO w $IBOOFMT 'FBUVSFT JTQSFQBSFE

    /FYUTMJEFFYQMBJOTEFUBJMT  https://senseis.xmp.net/?Go 19 x 19 48 Channel 19 19 5 5 5 5 3 3 3 3 19 19 .... .... 3 3 3 3 19 19 19 19 0VUQVU1SPCPGUIFOFYUNPWF
  12. 0WFSWJFXPG"MQIB(P 1PMJDZ /FUXPSL 7BMVF /FUXPSL 3PMMPVU 1PMJDZ 1SFEJDUJPOPG.PWF 1SFEJDUJPOPG.PWF 1SFEJDUJPOPG8JO3BUF

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  13. 7BMVF/FUXPSL w "MQIB(PVTFTUIF3-QPMJDZOFUXPSL UPHFOFSBUFUSBJOJOHEBUBGPSUIF 7BMVF/FUXPSL XIJDIQSFEJDUXJO SBUF w 5SBJOJOHEBUB 1PTJUJPO

    8JO-PTF  NJMMJPO w *UUPPLXFFLXJUI(16 w 5SBJOJOHBMTPUPPLXFFLXJUI (16 w 5IFOFUXPSLQSPWJEFT&WBMVBUJPO GVODUJPOGPS(P UIBUDPOTJEFSFEUPCF IBSEQSFWJPVTMZ  'JHPG 4JMWFS
  14. 3PMMPVU1PMJDZ 1PMJDZ/FUXPSL 7BMVF/FUXPSL .PEFM -PHJTUJD 3FHSFTTJPO $// -BZFST $// -BZFST

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  16. .POUF$BSMP5SFF4FBSDI .POUF$BSMPUSFFTFBSDI .$54 JTBIFVSJTUJD TFBSDIBMHPSJUINGPSEFDJTJPOQSPDFTTFT 5IFGPDVTPG.POUF$BSMPUSFFTFBSDIJTPO UIFBOBMZTJTPGUIFNPTUQSPNJTJOHNPWFT  FYQBOEJOHUIFTFBSDIUSFFCBTFEPOSBOEPN TBNQMJOHPGUIFTFBSDITQBDF5IFBQQMJDBUJPO

    PG.POUF$BSMPUSFFTFBSDIJOHBNFTJTCBTFE PONBOZQMBZPVUT*OFBDIQMBZPVU UIFHBNF JTQMBZFEPVUUPUIFWFSZFOECZTFMFDUJOH NPWFTBUSBOEPN5IFpOBMHBNFSFTVMUPG FBDIQMBZPVUJTUIFOVTFEUPXFJHIUUIF OPEFTJOUIFHBNFUSFFTPUIBUCFUUFSOPEFT BSFNPSFMJLFMZUPCFDIPTFOJOGVUVSF QMBZPVUT #SPXOF
  17. .$54&YBNQMF N: 0, Q: 0 *OJUJBM4UBUF /PGWJTJUTUPUIFTUBUF 2&YQFDUFESFXBSE 4FMFDUJPO 4FMFDUOPEFUIBUNBYJNJ[FT

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  19. N: 1, Q: 0 N: 1, Q: 1 N: 1,

    Q: 1 N: 1, Q: -1 N: 1, Q: 1 N: 5, Q: 0.25 N: 2, Q: 1 N: 1, Q: 1 N: 1, Q: -1 N: 1, Q: 1 N: 0, Q: 0 N: 0, Q: 0 N: 0, Q: 0 N: 5, Q: 0.25 N: 2, Q: 1 N: 1, Q: 1 N: 1, Q: -1 N: 1, Q: 1 &YQBOTJPO &YQBOEUSFFXIFOBOPEFJTWJTJUFE
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  20. w #JBTJTFWBMVBUFECZUIFPSJHJOBM#JBT 0VUQVUPGUIF 4-QPMJDZOFUXPSL
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      BOE$16T  Q(s, a) = (1 − λ) Wv (s, a) Nv (s, a) + λ Wr (s, a) Nr (s, a) u(s, a) = cpuct P(s, a) ∑ b Nr (s, b) 1 + Nr (s, a) .$54JO"MQIB(P 7BMVF/FUXPSL .$54 P(s, a)
  21. "CTUSBDU "MPOHTUBOEJOHHPBMPGBSUJpDJBMJOUFMMJHFODFJTBOBMHPSJUINUIBUMFBSOT  UBCVMBSBTB TVQFSIVNBOQSPpDJFODZJODIBMMFOHJOHEPNBJOT3FDFOUMZ  "MQIB(PCFDBNFUIFpSTUQSPHSBNUPEFGFBUBXPSMEDIBNQJPOJOUIFHBNFPG (P5IFUSFFTFBSDIJO"MQIB(PFWBMVBUFEQPTJUJPOTBOETFMFDUFENPWFTVTJOH EFFQOFVSBMOFUXPSLT5IFTFOFVSBMOFUXPSLTXFSFUSBJOFECZTVQFSWJTFE MFBSOJOHGSPNIVNBOFYQFSUNPWFT

    BOECZSFJOGPSDFNFOUMFBSOJOHGSPNTFMG QMBZ)FSFXFJOUSPEVDFBOBMHPSJUINCBTFETPMFMZPOSFJOGPSDFNFOU MFBSOJOH XJUIPVUIVNBOEBUB HVJEBODFPSEPNBJOLOPXMFEHFCFZPOE HBNFSVMFT"MQIB(PCFDPNFTJUTPXOUFBDIFSBOFVSBMOFUXPSLJTUSBJOFEUP QSFEJDU"MQIB(P`TPXONPWFTFMFDUJPOTBOEBMTPUIFXJOOFSPG"MQIB(P`T HBNFT5IJTOFVSBMOFUXPSLJNQSPWFTUIFTUSFOHUIPGUIFUSFFTFBSDI SFTVMUJOH JOIJHIFSRVBMJUZNPWFTFMFDUJPOBOETUSPOHFSTFMGQMBZJOUIFOFYUJUFSBUJPO 4UBSUJOHUBCVMBSBTB PVSOFXQSPHSBN"MQIB(P;FSPBDIJFWFETVQFSIVNBO QFSGPSNBODF XJOOJOHrBHBJOTUUIFQSFWJPVTMZQVCMJTIFE DIBNQJPO EFGFBUJOH"MQIB(P 5BCVMBSBTBJTB-BUJOQISBTFPGUFOUSBOTMBUFEBTDMFBOTMBUF  
  22. 1PJOU%VBM/FUXPSL https://senseis.xmp.net/?Go 19 x 19 48 Channel 19 19 5

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  23. "MQIB(P;FSPJTMFTTEFQFOET POIBOEDSBGUFEGFBUVSFT 'FBUVSFTPG"MQIB(P 4JMWFS 'FBUVSF PGQMBOFT 1PTJUJPOPGCMBDL TUPOFT  1PTJUJPOPGCMBDL

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  24. 1PJOU*NQSPWFNFOUPG .$54 w .$54BMHPSJUINVTFTUIFGPMMPXJOHWBMVFGPSTUBUF TFMFDUJPO w /PQMBZPVU JUKVTUSFMJFTPOWBMVF Q(s, a)

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  26. 4UFQ%BUB"DDVNVMBUJPO w %PBTFMGQMBZ4UPSFUIFPVUDPNF[ w 4UPSFBMM T К [ UVQMFTJOUIFHBNF w

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  27. 4UFQ1BSBNFUFSVQEBUF w $BMDVMBUFUIFMPTTGVODUJPOVTJOH T К [ FWBMVBUFE JOUIFQSFWJPVTTUFQ (p, v)

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