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Bengio团队新作:强化学习重做符号回归,后验采样提速10倍

Research Symbolic Regression

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TL;DR - Bengio’s team introduces ERRLESS, a Bayesian symbolic regression method that uses maximum-entropy reinforcement learning to sample joint posteriors over formulas, constants, and noise. It improves uncertainty modeling while running roughly 10× faster than most learning-based symbolic regression methods.

  • Reframes symbolic regression from finding one optimal expression to approximating a full posterior distribution.
  • Uses constrained bottom-up expression generation and a GFlowNet trajectory-balance objective.
  • Achieves 0.924 AUC on the Feynman benchmark, remaining stable across three noise levels.
  • Avoids separate constant optimization, but requires retraining for each dataset and degrades on complex expressions.

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Bengio团队新作:强化学习重做符号回归,后验采样提速10倍

WeChat: PaperWeekly 2026-08-11
Public signals N/A
Providers: Hugging Face · N/A OpenAlex · N/A Publisher · N/A Semantic Scholar · N/A X · N/A Fetched 2026-09-12 14:28:05.216223 UTC

TL;DR - Bengio’s team introduces ERRLESS, a Bayesian symbolic regression method that uses maximum-entropy reinforcement learning to sample joint posteriors over formulas, constants, and noise. It improves uncertainty modeling while running roughly 10× faster than most learning-based symbolic regression methods.

  • Reframes symbolic regression from finding one optimal expression to approximating a full posterior distribution.
  • Uses constrained bottom-up expression generation and a GFlowNet trajectory-balance objective.
  • Achieves 0.924 AUC on the Feynman benchmark, remaining stable across three noise levels.
  • Avoids separate constant optimization, but requires retraining for each dataset and degrades on complex expressions.
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