Gradient Temporal-Difference Learning with Regularized Corrections
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Abstract (arXiv)
It is still common to use Q-learning and temporal difference (TD) learning-even though they have divergence issues and sound Gradient TD alternatives exist-because divergence seems rare and they typically perform well. However, recent work with large neural network learning systems reveals that instability is more common than previously thought. Practitioners face a difficult dilemma: choose an easy to use and performant TD method, or a more complex algorithm that is more sound but harder to tune and all but unexplored with non-linear function approximation or control. In this paper, we introduce a new method called TD with Regularized Corrections (TDRC), that attempts to balance ease of use, soundness, and performance. It behaves as well as TD, when TD performs well, but is sound in cases where TD diverges. We empirically investigate TDRC across a range of problems, for both prediction and control, and for both linear and non-linear function approximation, and show, potentially for the first time, that gradient TD methods could be a better alternative to TD and Q-learning.
Key facts. Cited by 38 papers in the map (data through 13 Oct 2026). First posted on arXiv 1 Jul 2020.
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Citing papers per year: 2021: 8; 2022: 7; 2023: 10; 2024: 3; 2025: 2; 2026: 8.
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- 2023Empirical Design in Reinforcement Learningcited by 54
- 2021A Generalized Projected Bellman Error for Off-policy Value Estimation in Reinforcement Learningcited by 26
- 2022Regularized Q-learningcited by 16
- 2023TD Convergence: An Optimization Perspectivecited by 15
- 2023The Statistical Benefits of Quantile Temporal-Difference Learning for Value Estimationcited by 14
- 2023Why Target Networks Stabilise Temporal Difference Methodscited by 13
- 2021Exploring the Training Robustness of Distributional Reinforcement Learning against Noisy State Observationscited by 11
- 2024Target Networks and Over-parameterization Stabilize Off-policy Bootstrapping with Function Approximationcited by 10
- 2021Convergent and Efficient Deep Q Network Algorithmcited by 8
- 2021Bridging the Gap Between Target Networks and Functional Regularizationcited by 7
- 2022Robust Losses for Learning Value Functionscited by 7
- 2023Revisiting a Design Choice in Gradient Temporal Difference Learningcited by 7
26 more
- 2024Central Limit Theorem for Two-Timescale Stochastic Approximation with Markovian Noise: Theory and Applicationscited by 7
- 2021New Versions of Gradient Temporal Difference Learningcited by 6
- 2025Deep Reinforcement Learning with Gradient Eligibility Tracescited by 6
- 2021Off-Policy Actor-Critic with Emphatic Weightingscited by 5
- 2022A Temporal-Difference Approach to Policy Gradient Estimationcited by 4
- 2023Toward Efficient Gradient-Based Value Estimationcited by 4
- 2021An Empirical Comparison of Off-policy Prediction Learning Algorithms on the Collision Taskcited by 2
- 2023Backstepping Temporal Difference Learningcited by 2
- 2023A new Gradient TD Algorithm with only One Step-size: Convergence Rate Analysis using L-λ Smoothnesscited by 2
- 2021Parameter-free Gradient Temporal Difference Learningcited by 1
- 2022Importance Sampling Placement in Off-Policy Temporal-Difference Methodscited by 1
- 2022Gradient Descent Temporal Difference-difference Learningcited by 1
- 2024Analysis of Off-Policy Multi-Step TD-Learning with Linear Function Approximationcited by 1
- 2026Value Bonuses using Ensemble Errors for Exploration in Reinforcement Learningcited by 1
- 2022Bridging the Gap Between Target Networks and Functional Regularizationcited by 0
- 2022Control of Continuous Quantum Systems with Many Degrees of Freedom based on Convergent Reinforcement Learningcited by 0
- 2023Gauss-Newton Temporal Difference Learning with Nonlinear Function Approximationcited by 0
- 2023Baird Counterexample is Solved: with an example of How to Debug a Two-time-scale Algorithmcited by 0
- 2025Analysis of Off-Policy n-Step TD-Learning with Linear Function Approximationcited by 0
- 2026R-GTD: A Geometric Analysis of Gradient Temporal-Difference Learning in Singular Regimescited by 0
- 2026Gradient Iterated Temporal-Difference Learningcited by 0
- 2026Regularized Centered Emphatic Temporal Difference Learningcited by 0
- 2026Behavior-Induced Mirror-Prox Temporal-Difference Learning for Faster Off-Policy Predictioncited by 0
- 2026Behavior-Aware Auxiliary Corrections for Off-Policy Temporal-Difference Predictioncited by 0
- 2026Revisiting TD Target Aggregation under Uncertainty in Q-Learningcited by 0
- 2026Regularized Emphatic Temporal-Difference Learning: Stability under Constant Stepsizescited by 0
- 2026Regularized Emphatic Temporal-Difference Learning: Stability under Constant Stepsizes14 Sep 2026
- 2026Revisiting TD Target Aggregation under Uncertainty in Q-Learning4 Aug 2026
- 2026Behavior-Aware Auxiliary Corrections for Off-Policy Temporal-Difference Prediction17 May 2026
- 2026Behavior-Induced Mirror-Prox Temporal-Difference Learning for Faster Off-Policy Prediction16 May 2026
- 2026Regularized Centered Emphatic Temporal Difference Learning2 May 2026
- 2026Gradient Iterated Temporal-Difference Learning8 Mar 2026
- 2026Value Bonuses using Ensemble Errors for Exploration in Reinforcement Learning12 Feb 2026
- 2026R-GTD: A Geometric Analysis of Gradient Temporal-Difference Learning in Singular Regimes28 Jan 2026
- 2025Deep Reinforcement Learning with Gradient Eligibility Traces12 Jul 2025
- 2025Analysis of Off-Policy n-Step TD-Learning with Linear Function Approximation13 Feb 2025
- 2024Target Networks and Over-parameterization Stabilize Off-policy Bootstrapping with Function Approximation31 May 2024
- 2024Analysis of Off-Policy Multi-Step TD-Learning with Linear Function Approximation24 Feb 2024
26 more
- 2024Central Limit Theorem for Two-Timescale Stochastic Approximation with Markovian Noise: Theory and Applications17 Jan 2024
- 2023Baird Counterexample is Solved: with an example of How to Debug a Two-time-scale Algorithm18 Aug 2023
- 2023Revisiting a Design Choice in Gradient Temporal Difference Learning2 Aug 2023
- 2023A new Gradient TD Algorithm with only One Step-size: Convergence Rate Analysis using L-λ Smoothness29 Jul 2023
- 2023TD Convergence: An Optimization Perspective30 Jun 2023
- 2023The Statistical Benefits of Quantile Temporal-Difference Learning for Value Estimation28 May 2023
- 2023Empirical Design in Reinforcement Learning3 Apr 2023
- 2023Gauss-Newton Temporal Difference Learning with Nonlinear Function Approximation25 Feb 2023
- 2023Why Target Networks Stabilise Temporal Difference Methods24 Feb 2023
- 2023Backstepping Temporal Difference Learning20 Feb 2023
- 2023Toward Efficient Gradient-Based Value Estimation31 Jan 2023
- 2022Control of Continuous Quantum Systems with Many Degrees of Freedom based on Convergent Reinforcement Learning21 Dec 2022
- 2022Bridging the Gap Between Target Networks and Functional Regularization21 Oct 2022
- 2022Gradient Descent Temporal Difference-difference Learning10 Sep 2022
- 2022Robust Losses for Learning Value Functions17 May 2022
- 2022Importance Sampling Placement in Off-Policy Temporal-Difference Methods18 Mar 2022
- 2022Regularized Q-learning11 Feb 2022
- 2022A Temporal-Difference Approach to Policy Gradient Estimation4 Feb 2022
- 2021Off-Policy Actor-Critic with Emphatic Weightings16 Nov 2021
- 2021Exploring the Training Robustness of Distributional Reinforcement Learning against Noisy State Observations17 Sep 2021
- 2021New Versions of Gradient Temporal Difference Learning9 Sep 2021
- 2021Convergent and Efficient Deep Q Network Algorithm29 Jun 2021
- 2021Bridging the Gap Between Target Networks and Functional Regularization4 Jun 2021
- 2021An Empirical Comparison of Off-policy Prediction Learning Algorithms on the Collision Task2 Jun 2021
- 2021Parameter-free Gradient Temporal Difference Learning10 May 2021
- 2021A Generalized Projected Bellman Error for Off-policy Value Estimation in Reinforcement Learning28 Apr 2021
- 2025Deep Reinforcement Learning with Gradient Eligibility Tracescited by 6
- 2024Analysis of Off-Policy Multi-Step TD-Learning with Linear Function Approximationcited by 1
- 2026Value Bonuses using Ensemble Errors for Exploration in Reinforcement Learningcited by 1
- 2025Analysis of Off-Policy n-Step TD-Learning with Linear Function Approximationcited by 0
- 2026Revisiting TD Target Aggregation under Uncertainty in Q-Learningcited by 0
- 2026Revisiting TD Target Aggregation under Uncertainty in Q-Learning4 Aug 2026
- 2026Value Bonuses using Ensemble Errors for Exploration in Reinforcement Learning12 Feb 2026
- 2025Deep Reinforcement Learning with Gradient Eligibility Traces12 Jul 2025
- 2025Analysis of Off-Policy n-Step TD-Learning with Linear Function Approximation13 Feb 2025
- 2024Analysis of Off-Policy Multi-Step TD-Learning with Linear Function Approximation24 Feb 2024
- 2023Empirical Design in Reinforcement Learningcited by 54
- 2021A Generalized Projected Bellman Error for Off-policy Value Estimation in Reinforcement Learningcited by 26
- 2022Regularized Q-learningcited by 16
- 2023TD Convergence: An Optimization Perspectivecited by 15
- 2023The Statistical Benefits of Quantile Temporal-Difference Learning for Value Estimationcited by 14
- 2023Why Target Networks Stabilise Temporal Difference Methodscited by 13
- 2021Exploring the Training Robustness of Distributional Reinforcement Learning against Noisy State Observationscited by 11
- 2024Target Networks and Over-parameterization Stabilize Off-policy Bootstrapping with Function Approximationcited by 10
- 2021Convergent and Efficient Deep Q Network Algorithmcited by 8
- 2021Bridging the Gap Between Target Networks and Functional Regularizationcited by 7
- 2022Robust Losses for Learning Value Functionscited by 7
- 2023Revisiting a Design Choice in Gradient Temporal Difference Learningcited by 7
12 most cited of 33 All 33 (JSON)
- 2026Regularized Emphatic Temporal-Difference Learning: Stability under Constant Stepsizes14 Sep 2026
- 2026Behavior-Aware Auxiliary Corrections for Off-Policy Temporal-Difference Prediction17 May 2026
- 2026Behavior-Induced Mirror-Prox Temporal-Difference Learning for Faster Off-Policy Prediction16 May 2026
- 2026Regularized Centered Emphatic Temporal Difference Learning2 May 2026
- 2026Gradient Iterated Temporal-Difference Learning8 Mar 2026
- 2026R-GTD: A Geometric Analysis of Gradient Temporal-Difference Learning in Singular Regimes28 Jan 2026
- 2024Target Networks and Over-parameterization Stabilize Off-policy Bootstrapping with Function Approximation31 May 2024
- 2024Central Limit Theorem for Two-Timescale Stochastic Approximation with Markovian Noise: Theory and Applications17 Jan 2024
- 2023Baird Counterexample is Solved: with an example of How to Debug a Two-time-scale Algorithm18 Aug 2023
- 2023Revisiting a Design Choice in Gradient Temporal Difference Learning2 Aug 2023
- 2023A new Gradient TD Algorithm with only One Step-size: Convergence Rate Analysis using L-λ Smoothness29 Jul 2023
- 2023TD Convergence: An Optimization Perspective30 Jun 2023
12 newest of 33 All 33 (JSON)