Reproduce “An Information-Theoretic Definition for Open-Ended Learning” on OpenResearch

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About this paper

Wanqiao Xu, Yifan Zhu, Benjamin Van Roy

The research introduces a formal information-theoretic definition of open-ended learning, proving that classical bandit environments are not open-ended under this framework and proposing an 'insatiable linear bandit' where a novel Truncated Thompson Sampling algorithm achieves sustained capability expansion.

Key insights

  • Traditional bandit environments, even with infinite action spaces or unbounded rewards, do not permit open-ended learning due to sublinear growth of useful information.
  • Linear information gain about an environment parameter is insufficient for open-endedness; the information must specifically enable sustained improvement in expected reward.
  • Agents capable of open-ended learning must dynamically expand their "learning targets" or understanding of the environment's increasing complexities, rather than operating with fixed scope.

Summary by alphaXiv.

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