Regularized Emphatic Temporal-Difference Learning: Stability under Constant Stepsizes

📰 ArXiv cs.AI

Learn how Regularized Emphatic Temporal-Difference Learning achieves stability under constant stepsizes in reinforcement learning

advanced Published 18 Sept 2026
Action Steps
  1. Apply emphatic temporal-difference learning to stabilize off-policy TD updates
  2. Analyze the mean map contraction of the ETD algorithm
  3. Use regenerative-cycle analysis to separate the sign of the top Lyapunov exponent from the infinite variance of the follow-on trace
  4. Implement constant-stepsize sampled dynamics in reinforcement learning algorithms
  5. Evaluate the stability of ETD under constant stepsizes using Lyapunov exponents
Who Needs to Know This

Researchers and engineers working on reinforcement learning and temporal-difference learning will benefit from this article, as it provides new insights into the stability of ETD under constant stepsizes

Key Insight

💡 ETD stabilizes off-policy TD updates, but its stability under constant stepsizes depends on the contraction of the mean map and the sign of the top Lyapunov exponent

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Full Article

Title: Regularized Emphatic Temporal-Difference Learning: Stability under Constant Stepsizes

Abstract:
arXiv:2609.19170v1 Announce Type: new Abstract: Emphatic temporal-difference learning (ETD) stabilizes the expected off-policy TD update and changes its projection geometry, but neither property determines constant-stepsize sampled dynamics. We construct an ergodic two-state counterexample in which the ETD mean map contracts while the sampled product has a positive top Lyapunov exponent. Regenerative-cycle analysis separates this sign from the infinite variance of the follow-on trace. We introdu
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