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[TD3] 4.1 Overestimation Bias in Actor-Critic #4

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HyeAnn-Lee opened this issue Aug 8, 2023 · 0 comments
Open

[TD3] 4.1 Overestimation Bias in Actor-Critic #4

HyeAnn-Lee opened this issue Aug 8, 2023 · 0 comments

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@HyeAnn-Lee
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1. 충분히 작은 error <img src="https://latex.codecogs.com/gif.latex?\epsilon_1" title="\epsilon_1" />이 존재(<img src="https://latex.codecogs.com/gif.latex?\alpha\ge\epsilon_1" title="\alpha\ge\epsilon_1" />)한다고 할 때, <img src="https://latex.codecogs.com/gif.latex?\pi_\text{approx}" title="\pi_\text{approx}" />의 approximate value는 <img src="https://latex.codecogs.com/gif.latex?\pi_\text{true}" title="\pi_\text{true}" /> approximate value보다 작거나 같다.
<img src="../img/td3_14.png"/>
2. 마찬가지로 충분히 작은 error <img src="https://latex.codecogs.com/gif.latex?\epsilon_2" title="\epsilon_2" />이 존재(<img src="https://latex.codecogs.com/gif.latex?\alpha\ge\epsilon_2" title="\alpha\ge\epsilon_2" />)한다고 할 때, <img src="https://latex.codecogs.com/gif.latex?\pi_\text{true}" title="\pi_\text{true}" />의 true value는 <img src="https://latex.codecogs.com/gif.latex?\pi_\text{approx}" title="\pi_\text{approx}" />의 true value보다 작거나 같다.
<img src="../img/td3_15.png"/>

  • 97줄: 논문에 "the approximate value of π_approx will be bounded below by the approximate value of π_true"라고 되어있으므로 해석을 "크거나 같다"라고 해야 할 것 같습니다. 그래야 식의 의미와도 일치한다고 생각합니다.
  • 101줄: 마찬가지입니다.
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