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On-PolicyOff-Policy
EnvMDPOTRPOPPOMDPO-KLMDPO-TsallisSAC
Hopper-v22361(±518)1979 (± 672)2051 (± 241)2428(±395)2428(± 395),q = 1.01870 (± 404)
Walker2d-v24834 (± 607)4473 (± 558)1490 (± 292)3591 (± 366)4028(± 287),q = 2.03738 (± 312)
HalfCheetah-v24172 (± 1156)3751 (± 910)2041 (± 1319)11823 (± 154)11823 (± 154), q = 1.011928 (± 342)
Ant-v25211 (± 43)4682 (± 278)59 (±133)4434 (± 749)5486(± 737), q = 2.04989 (± 579)
Humanoid-v23234 (± 566)4414 (± 132)529 (±47)5323 (± 348)5611(± 260), q = 1.25191 (± 312)
H. Standup-v2155261(± 3898)149847 (± 2632)97223 (±4479)143955 (± 4499)165882 (± 16604), q = 1.4 154765 (± 11721)
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Hopper-v22Walker2d-v2HHalfCheetah-v22Ant-v21Humanoid-v2HumanoidStandup-v2
Bregman stepsize (1/tk)0.80.40.30.50.50.3
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HyperparameterTRPO-MTRPO-LOADEDPPO-MPPO-LOADEDMDPO-MMDPO-LOADED
Adam stepsize=3×10-4Annealed from 1 to 03×10-4Annealed from 1 to 0
minibatch size1281286464128128
number of gradient updates (m)-1510
reward normalization×XX√
observation normalizationX×X√
orthogonal weight initializationX××√
value function clipping GAEå…¥XXX
horizon (T)1.00.951.00.95 20481.00.95
entropy coefficient
discount factor0.0 0.99
107
total number of timesteps
#runs used for plot averages5
confidence interval for plot runs~95%
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HyperparameterMDPO-M KLMDPO-M TsallisSAC-MMDPO-LOADED KLMDPO-LOADED TsallisSAC-LOADED
number of hidden units per layer minibatch size646464256256256
entropy coefficient (λ)646464256 0.2256256
Adam stepsize3×10-4
reward normalization×
observation normalization×
orthogonal weight initializationX
value function clippingX
replay buffer size106
target value function smoothing coefficient0.005
number of hidden layers2
discount factor0.99
#runs used for plot averages5
confidence interval for plot runs~ 95%
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MDPO-KLMDPO-Tsallis, qbestSAC
Hopper-v21385 (±648)1385 (±648), q = 1.01501 (±414)
Walker2d-v2873 (±180)1151 (±218), q = 1.8635 (±137)
HalfCheetah-v28098 (±428)8477 (±450), q = 1.49298 (±371)
Ant-v21051 (±284)2348 (±338), q = 2.0378 (±33)
Humanoid-v22258 (±372)4426 (±229), q = 1.63598 (±172)
HumanoidStandup-v2131702 (±7203)138157 (±8983), q = 1.2142774 (±4864)
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MDPO-KLMDPO-Tsallis, qbestSAC
Hopper-v22428 (±395)2428 (±395), q = 1.01870 (±404)
Walker2d-v23591 (±366)4028 (±287), q = 2.03738 (±312)
HalfCheetah-v211823 (±154)11823 (±154), q = 1.011928 (±342)
Ant-v24434 (±749)5486 (±737), q = 2.04989 (±579)
Humanoid-v25323 (±348)5611 (±260), q = 1.25191 (±312)
HumanoidStandup-v2143955 (±4499)165882 (±16604), q = 1.4154765 (±11721)
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MDP qBregman q
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q=1.05323 (±348)4734 (±341)4561 (±381)
Humanoid-v2q=1.524(±4)5013 (±274)3766(±331)
q=2.012(±5)28(±3)2751(±304)
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