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Paper · arXiv

On Reparameterizing the Score Function

Policy gradients for autoregressive sequence models differentiate each token's log-probability while holding the conditioning history fixed. This discards information about how earlier decisions shape later conditional distributions, creating a credit-assignment bottleneck when rewards are sparse. We introduce History-Reparameterized (HR) policy gradients, which replace the frozen prefix in the score function with a differentiable reparameterized or relaxed history, allowing gradients of downstream log-probabilities to propagate backward through the generated trajectory. The resulting history-pathwise term is generally biased when added directly, so we derive Optimal HR (OHR), a centered ...

AuthorsMohammad Hossein Amani, Leonardo Bocchieri, Maxime Peyrard et al.
Primary categorycs.LG
Published16 October 2026
Last updated at source16 October 2026
cs.LGstat.ML
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