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Discerning Temporal Difference Learning

Jianfei Ma

TL;DR

This work tackles credit assignment in temporal-difference learning under state visitation imbalance and reward noise by introducing discerning Temporal Difference Learning (DTD), which integrates a nonnegative emphasis function to reweight TD error propagation and a discerning lambda-return to modulate multi-step returns. The authors establish convergence of DTD for a broad class of emphasis functions and discuss extensions to deep RL via a discerning advantage estimator and connections to prioritized sampling. Empirically, DTD demonstrates improved value estimation and faster learning across varied tasks, with adaptive emphasis outperforming baselines and showing robustness to noise and representation quality. Overall, the framework offers flexible, emphasis-aware credit assignment that can be integrated with DRL techniques to enhance stability and efficiency in learning.

Abstract

Temporal difference learning (TD) is a foundational concept in reinforcement learning (RL), aimed at efficiently assessing a policy's value function. TD($λ$), a potent variant, incorporates a memory trace to distribute the prediction error into the historical context. However, this approach often neglects the significance of historical states and the relative importance of propagating the TD error, influenced by challenges such as visitation imbalance or outcome noise. To address this, we propose a novel TD algorithm named discerning TD learning (DTD), which allows flexible emphasis functions$-$predetermined or adapted during training$-$to allocate efforts effectively across states. We establish the convergence properties of our method within a specific class of emphasis functions and showcase its promising potential for adaptation to deep RL contexts. Empirical results underscore that employing a judicious emphasis function not only improves value estimation but also expedites learning across diverse scenarios.

Discerning Temporal Difference Learning

TL;DR

This work tackles credit assignment in temporal-difference learning under state visitation imbalance and reward noise by introducing discerning Temporal Difference Learning (DTD), which integrates a nonnegative emphasis function to reweight TD error propagation and a discerning lambda-return to modulate multi-step returns. The authors establish convergence of DTD for a broad class of emphasis functions and discuss extensions to deep RL via a discerning advantage estimator and connections to prioritized sampling. Empirically, DTD demonstrates improved value estimation and faster learning across varied tasks, with adaptive emphasis outperforming baselines and showing robustness to noise and representation quality. Overall, the framework offers flexible, emphasis-aware credit assignment that can be integrated with DRL techniques to enhance stability and efficiency in learning.

Abstract

Temporal difference learning (TD) is a foundational concept in reinforcement learning (RL), aimed at efficiently assessing a policy's value function. TD(), a potent variant, incorporates a memory trace to distribute the prediction error into the historical context. However, this approach often neglects the significance of historical states and the relative importance of propagating the TD error, influenced by challenges such as visitation imbalance or outcome noise. To address this, we propose a novel TD algorithm named discerning TD learning (DTD), which allows flexible emphasis functionspredetermined or adapted during trainingto allocate efforts effectively across states. We establish the convergence properties of our method within a specific class of emphasis functions and showcase its promising potential for adaptation to deep RL contexts. Empirical results underscore that employing a judicious emphasis function not only improves value estimation but also expedites learning across diverse scenarios.
Paper Structure (16 sections, 7 theorems, 25 equations, 3 figures, 1 algorithm)

This paper contains 16 sections, 7 theorems, 25 equations, 3 figures, 1 algorithm.

Key Result

Proposition 1

For any $f: \mathcal{S} \rightarrow \mathbb{R}^{+}$, it holds that:

Figures (3)

  • Figure 1: Top: State visitation frequency for different states; Bottom: Learning curve of MSPBE for algorithmic comparison. The three tasks are based on three different initial distributions.
  • Figure 2: Learning curve of MSPBE of different reward levels with added noises.
  • Figure 3: Learning curve of MSPBE on 5-state random walk chain with tabular, inverted, and dependent feature representation and the 13-state Boyan chain. Baselines are chosen to be emphatic and with selective updating.

Theorems & Definitions (11)

  • Proposition 1
  • Definition 1
  • Theorem 1
  • Remark 1
  • Corollary 1
  • proof
  • Lemma 1
  • Lemma 2
  • Theorem 2
  • Definition 2
  • ...and 1 more