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You Jiacheng
@YouJiacheng
加入 August 2015
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Actually this argument is not limited to linear policy. Consider the gradient w.r.t. logits. s = ∇_z log p(a) = e_a - p \bar{s} = E_{a~q}[e_a - p] = (q - p) centered score s - \bar{s} = e_a - q Thus, score centering is a STE: z_p + sg(z_q - z_p).
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@YouJiacheng consider linear softmax policy. the proposed correction does nothing and simply calculate the gradient under the sampling distribution.