Momentum-Based Policy Gradient Methods
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Abstract (arXiv)
In the paper, we propose a class of efficient momentum-based policy gradient methods for the model-free reinforcement learning, which use adaptive learning rates and do not require any large batches. Specifically, we propose a fast important-sampling momentum-based policy gradient (IS-MBPG) method based on a new momentum-based variance reduced technique and the importance sampling technique. We also propose a fast Hessian-aided momentum-based policy gradient (HA-MBPG) method based on the momentum-based variance reduced technique and the Hessian-aided technique. Moreover, we prove that both the IS-MBPG and HA-MBPG methods reach the best known sample complexity of O(ε-3) for finding an ε-stationary point of the non-concave performance function, which only require one trajectory at each iteration. In particular, we present a non-adaptive version of IS-MBPG method, i.e., IS-MBPG*, which also reaches the best known sample complexity of O(ε-3) without any large batches. In the experiments, we apply four benchmark tasks to demonstrate the effectiveness of our algorithms.
Key facts. Cited by 28 papers in the map (data through 7 Oct 2026). First posted on arXiv 13 Jul 2020.
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Citing papers per year: 2021: 6; 2022: 6; 2023: 7; 2024: 6; 2025: 2; 2026: 1.
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- 2021A general sample complexity analysis of vanilla policy gradientcited by 74
- 2022An Improved Analysis of (Variance-Reduced) Policy Gradient and Natural Policy Gradient Methodscited by 63
- 2023Stochastic Policy Gradient Methods: Improved Sample Complexity for Fisher-non-degenerate Policiescited by 53
- 2022Linear Convergence of Natural Policy Gradient Methods with Log-Linear Policiescited by 44
- 2021Sample and Communication-Efficient Decentralized Actor-Critic Algorithms with Finite-Time Analysiscited by 25
- 2023Improved Sample Complexity Analysis of Natural Policy Gradient Algorithm with General Parameterization for Infinite Horizon Discounted Reward Markov Decision Processescited by 24
- 2021On the Global Optimum Convergence of Momentum-based Policy Gradientcited by 23
- 2024Asynchronous Federated Reinforcement Learning with Policy Gradient Updates: Algorithm Design and Convergence Analysiscited by 21
- 2022Stochastic Second-Order Methods Improve Best-Known Sample Complexity of SGD for Gradient-Dominated Functioncited by 19
- 2023Reinforcement Learning with General Utilities: Simpler Variance Reduction and Large State-Action Spacecited by 18
- 2021Bregman Gradient Policy Optimizationcited by 15
- 2022PAGE-PG: A Simple and Loopless Variance-Reduced Policy Gradient Method with Probabilistic Gradient Estimationcited by 15
16 more
- 2022On the Hidden Biases of Policy Mirror Ascent in Continuous Action Spacescited by 11
- 2022Momentum-Based Policy Gradient with Second-Order Informationcited by 11
- 2024Sample-Efficient Constrained Reinforcement Learning with General Parameterizationcited by 11
- 2023Beyond Stationarity: Convergence Analysis of Stochastic Softmax Policy Gradient Methodscited by 9
- 2024Momentum for the Win: Collaborative Federated Reinforcement Learning across Heterogeneous Environmentscited by 7
- 2021MDPGT: Momentum-based Decentralized Policy Gradient Trackingcited by 6
- 2021On the Convergence Rate of Off-Policy Policy Optimization Methods with Density-Ratio Correctioncited by 4
- 2024Global Convergence of Natural Policy Gradient with Hessian-aided Momentum Variance Reductioncited by 4
- 2023Efficiently Escaping Saddle Points for Policy Optimizationcited by 1
- 2025EmbeddedML: A New Optimized and Fast Machine Learning Librarycited by 1
- 2025Asynchronous Policy Gradient Aggregation for Efficient Distributed Reinforcement Learningcited by 1
- 2023Stochastic Dimension-reduced Second-order Methods for Policy Optimizationcited by 0
- 2023A Homogenization Approach for Gradient-Dominated Stochastic Optimizationcited by 0
- 2024Heavy-Ball Momentum Accelerated Actor-Critic With Function Approximationcited by 0
- 2024Last-Iterate Convergence of General Parameterized Policies in Constrained MDPscited by 0
- 2026Distributed Direct Preference Optimizationcited by 0
- 2026Distributed Direct Preference Optimization20 May 2026
- 2025Asynchronous Policy Gradient Aggregation for Efficient Distributed Reinforcement Learning29 Sep 2025
- 2025EmbeddedML: A New Optimized and Fast Machine Learning Library16 Sep 2025
- 2024Last-Iterate Convergence of General Parameterized Policies in Constrained MDPs21 Aug 2024
- 2024Heavy-Ball Momentum Accelerated Actor-Critic With Function Approximation13 Aug 2024
- 2024Momentum for the Win: Collaborative Federated Reinforcement Learning across Heterogeneous Environments29 May 2024
- 2024Sample-Efficient Constrained Reinforcement Learning with General Parameterization17 May 2024
- 2024Asynchronous Federated Reinforcement Learning with Policy Gradient Updates: Algorithm Design and Convergence Analysis9 Apr 2024
- 2024Global Convergence of Natural Policy Gradient with Hessian-aided Momentum Variance Reduction2 Jan 2024
- 2023Efficiently Escaping Saddle Points for Policy Optimization15 Nov 2023
- 2023Improved Sample Complexity Analysis of Natural Policy Gradient Algorithm with General Parameterization for Infinite Horizon Discounted Reward Markov Decision Processes18 Oct 2023
- 2023Beyond Stationarity: Convergence Analysis of Stochastic Softmax Policy Gradient Methods4 Oct 2023
16 more
- 2023A Homogenization Approach for Gradient-Dominated Stochastic Optimization21 Aug 2023
- 2023Reinforcement Learning with General Utilities: Simpler Variance Reduction and Large State-Action Space2 Jun 2023
- 2023Stochastic Policy Gradient Methods: Improved Sample Complexity for Fisher-non-degenerate Policies3 Feb 2023
- 2023Stochastic Dimension-reduced Second-order Methods for Policy Optimization28 Jan 2023
- 2022An Improved Analysis of (Variance-Reduced) Policy Gradient and Natural Policy Gradient Methods15 Nov 2022
- 2022Linear Convergence of Natural Policy Gradient Methods with Log-Linear Policies4 Oct 2022
- 2022Stochastic Second-Order Methods Improve Best-Known Sample Complexity of SGD for Gradient-Dominated Function25 May 2022
- 2022Momentum-Based Policy Gradient with Second-Order Information17 May 2022
- 2022PAGE-PG: A Simple and Loopless Variance-Reduced Policy Gradient Method with Probabilistic Gradient Estimation1 Feb 2022
- 2022On the Hidden Biases of Policy Mirror Ascent in Continuous Action Spaces28 Jan 2022
- 2021MDPGT: Momentum-based Decentralized Policy Gradient Tracking6 Dec 2021
- 2021On the Global Optimum Convergence of Momentum-based Policy Gradient19 Oct 2021
- 2021Sample and Communication-Efficient Decentralized Actor-Critic Algorithms with Finite-Time Analysis8 Sep 2021
- 2021A general sample complexity analysis of vanilla policy gradient23 Jul 2021
- 2021Bregman Gradient Policy Optimization23 Jun 2021
- 2021On the Convergence Rate of Off-Policy Policy Optimization Methods with Density-Ratio Correction2 Jun 2021
- 2026Distributed Direct Preference Optimizationcited by 0
- 2026Distributed Direct Preference Optimization20 May 2026
- 2021A general sample complexity analysis of vanilla policy gradientcited by 74
- 2022An Improved Analysis of (Variance-Reduced) Policy Gradient and Natural Policy Gradient Methodscited by 63
- 2023Stochastic Policy Gradient Methods: Improved Sample Complexity for Fisher-non-degenerate Policiescited by 53
- 2022Linear Convergence of Natural Policy Gradient Methods with Log-Linear Policiescited by 44
- 2021Sample and Communication-Efficient Decentralized Actor-Critic Algorithms with Finite-Time Analysiscited by 25
- 2023Improved Sample Complexity Analysis of Natural Policy Gradient Algorithm with General Parameterization for Infinite Horizon Discounted Reward Markov Decision Processescited by 24
- 2021On the Global Optimum Convergence of Momentum-based Policy Gradientcited by 23
- 2024Asynchronous Federated Reinforcement Learning with Policy Gradient Updates: Algorithm Design and Convergence Analysiscited by 21
- 2022Stochastic Second-Order Methods Improve Best-Known Sample Complexity of SGD for Gradient-Dominated Functioncited by 19
- 2023Reinforcement Learning with General Utilities: Simpler Variance Reduction and Large State-Action Spacecited by 18
- 2021Bregman Gradient Policy Optimizationcited by 15
- 2022PAGE-PG: A Simple and Loopless Variance-Reduced Policy Gradient Method with Probabilistic Gradient Estimationcited by 15
12 most cited of 27 All 27 (JSON)
- 2025Asynchronous Policy Gradient Aggregation for Efficient Distributed Reinforcement Learning29 Sep 2025
- 2025EmbeddedML: A New Optimized and Fast Machine Learning Library16 Sep 2025
- 2024Last-Iterate Convergence of General Parameterized Policies in Constrained MDPs21 Aug 2024
- 2024Heavy-Ball Momentum Accelerated Actor-Critic With Function Approximation13 Aug 2024
- 2024Momentum for the Win: Collaborative Federated Reinforcement Learning across Heterogeneous Environments29 May 2024
- 2024Sample-Efficient Constrained Reinforcement Learning with General Parameterization17 May 2024
- 2024Asynchronous Federated Reinforcement Learning with Policy Gradient Updates: Algorithm Design and Convergence Analysis9 Apr 2024
- 2024Global Convergence of Natural Policy Gradient with Hessian-aided Momentum Variance Reduction2 Jan 2024
- 2023Efficiently Escaping Saddle Points for Policy Optimization15 Nov 2023
- 2023Improved Sample Complexity Analysis of Natural Policy Gradient Algorithm with General Parameterization for Infinite Horizon Discounted Reward Markov Decision Processes18 Oct 2023
- 2023Beyond Stationarity: Convergence Analysis of Stochastic Softmax Policy Gradient Methods4 Oct 2023
- 2023A Homogenization Approach for Gradient-Dominated Stochastic Optimization21 Aug 2023
12 newest of 27 All 27 (JSON)