Memory as Belief: Bayesian Evolution of Memory for Self-Evolving LLM Agents

Published
Source
arXiv
Paper number
1354
Field
Agents / Memory
arXiv ID
2610.25119

Key points

  • BEAM represents memory value as a context-conditioned Beta belief Beta(α, β) and predicts that belief with a lightweight LoRA-adapted estimator while keeping the backbone frozen.
  • Using execution feedback as evidence, it computes per-memory marginal contribution through leave-one-out counterfactual evaluation and trains the estimator online with an evidential objective, a pairwise ranking loss, and a selective Beta-KL regularizer.
  • Thompson sampling draws utility scores from the belief, giving memories with limited evidence more opportunities for exploration.
  • BEAM achieves the best average performance under both executors, surpassing the strongest baselines by 3.93 and 2.43 percentage points, respectively.
  • Across stages of the task stream, BEAM generally achieves larger gains over the no-memory baseline as the stream progresses, showing continual self-evolution.
  • Transferring the value model learned on MATH-500 to AIME yields a clear early-stage advantage and the best stream-level average performance.

Paper links

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