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EntropyRegularizer Ω2(πs)Legendre-Fenchel Ω*(Q s) Max argument VΩ*(Qs)
Maximum∑π(a|s)logπ(a|s)log∑e Q(s,a) TQ(s,a） e T
Qt(s,a)Ωe Q(s,b) T Qt(s,a）
RelativeDkL(πt(a|s)llπt-1(a|s))log∑aTt-1(als)eTTt-1(a|s)e T
∑Tt-1(b|s)e Qt(s，b） T
Tsallis( π(a|s) -1)Equation (10)Equation (11)
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UCTMaxMCTSMENTSRENTSTENTS
Alien1, 486.801,461.101, 508.601,547.801, 568.60
Amidar115.62124.92123.30125.58121.84
Asterix4,855.005,484.505,576.005,743.505,647.00
Asteroids873.40899.601,414.701,486.401,642.10
Atlantis35,182.0035,720.0036,277.0035,314.0035,756.00
BankHeist475.50458.60622.30636.70631.40
BeamRider2,616.722,661.302,822.182,558.942,804.88
Breakout303.04296.14309.03300.35316.68
Centipede1, 782.181,728.692,012.862,253.422,258.89
DemonAttack579.90640.801,044.501,124.701,113.30
Enduro129.28124.20128.79134.88132.05
Frostbite1,244.001,332.102,388.202,369.802,260.60
Gopher3,348.403,303.003,536.403,372.803,447.80
Hero3,009.953,010.553,044.553,077.203,074.00
MsPacman1,940.201,907.102,018.302,190.302,094.40
Phoenix2,747.302,626.603,098.302,582.303,975.30
Qbert7,987.258,033.508,051.258,254.008,437.75
Robotank11.4311.0011.5911.5111.47
Seaquest3,276.403,217.203,312.403,345.203,324.40
Solaris895.00923.201, 118.201,115.001,127.60
SpaceInvaders778.45835.90832.55867.35822.95
WizardOfWor685.00666.001,211.001,241.001,231.00
#Highest mean6/227/2217/2216/2222/22
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\\infty } > \\frac { 2 \\sigma } { \\log ( 2 + t ) } \\Bigg | E _ { \\epsilon } \\Bigg ) + \\mathbb { P } ( E _ { \\epsilon } ^ { C } ) } \\\\ & { \\leq \\displaystyle \\sum _ { k } \\Bigg ( \\mathbb { P } \\Bigg ( | r ( a ) - \\hat { r } _ { t } ( a ) | > \\frac { 2 \\sigma } { \\log ( 2 + t ) } \\Bigg ) + \\mathbb { P } ( E _ { \\epsilon } ^ { C } ) \\leq 2 | A | \\exp \\Bigg ( - \\frac { 1 } { ( \\log ( 2 + t ) ) ^ { 3 } } \\Bigg ) \\Bigg ) } \\\\ & { + 2 | A | \\exp \\Bigg ( - \\frac { t } { ( \\log ( 2 + t ) ) ^ { 3 } } \\Bigg ) = 4 | A | \\exp \\Bigg ( - \\frac { t } { ( \\log ( 2 + t ) ) ^ { 3 } } \\Bigg ) . } \\end{array}" }, { "category_id": 14, "poly": [ 327, 1206, 1382, 1206, 1382, 2023, 327, 2023 ], "score": 0.94, "latex": "\\begin{array} { r l } { \\sum _ { k \\in \\partial _ { s } } \\sum _ { i = 1 } ^ { N } \\sum _ { j = 1 } ^ { N } \\sum _ { k = 0 } ^ { N } \\exp _ { i } ^ { - \\beta } \\sum _ { k = 0 } ^ { N } ( k ) \\sum _ { k = 1 } ^ { N } \\exp _ { i } ^ { - \\beta 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\\beta } \\sum _ { k = 1 } ^ { N } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ { - \\beta } \\exp _ { i } ^ - \\beta \\end{array}" }, { "category_id": 13, "poly": [ 643, 1158, 750, 1158, 750, 1198, 643, 1198 ], "score": 0.93, "latex": "\\textstyle \\bigcap _ { i = 1 } ^ { t } E _ { r _ { t } }" }, { "category_id": 13, "poly": [ 1086, 866, 1174, 866, 1174, 901, 1086, 901 ], "score": 0.93, "latex": "\\pi _ { k } ( a | s )" }, { "category_id": 13, "poly": [ 824, 684, 974, 684, 974, 717, 824, 717 ], "score": 0.93, "latex": "\\pi = \\nabla \\Omega ^ { * } ( r )" 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