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Dual Approximation Policy Optimization

arXiv 2410.01249 ↗First posted 2 Oct 2024cs.LGcited by 1

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Abstract (arXiv)

We propose Dual Approximation Policy Optimization (DAPO), a framework that incorporates general function approximation into policy mirror descent methods. In contrast to the popular approach of using the L2-norm to measure function approximation errors, DAPO uses the dual Bregman divergence induced by the mirror map for policy projection. This duality framework has both theoretical and practical implications: not only does it achieve fast linear convergence with general function approximation, but it also includes several well-known practical methods as special cases, immediately providing strong convergence guarantees.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 36 of its 59 references that are in the map. First posted on arXiv 2 Oct 2024.

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36 of 59 references.

References · 36

  1. 2017Proximal Policy Optimization Algorithmscited by 14,441
  2. 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,635
  3. 2015Continuous control with deep reinforcement learningcited by 3,279
  4. 2013Playing Atari with Deep Reinforcement Learningcited by 3,211
  5. 2015Trust Region Policy Optimizationcited by 2,503
  6. 2018Addressing Function Approximation Error in Actor-Critic Methodscited by 2,302
  7. 2018Soft Actor-Critic Algorithms and Applicationscited by 1,179
  8. 2019Provably Efficient Exploration in Policy Optimizationcited by 203
  9. 2017A unified view of entropy-regularized Markov decision processescited by 174
  10. 2020Fast Global Convergence of Natural Policy Gradient Methods with Entropy Regularizationcited by 170
  11. 2019Neural Policy Gradient Methods: Global Optimality and Rates of Convergencecited by 157
  12. 2021Policy Mirror Descent for Reinforcement Learning: Linear Convergence, New Sampling Complexity, and Generalized Problem Classescited by 149
24 more
  1. 2022On the Convergence Rates of Policy Gradient Methodscited by 115
  2. 2019Adaptive Trust Region Policy Optimization: Global Convergence and Faster Rates for Regularized MDPscited by 113
  3. 2020Mirror Descent Policy Optimizationcited by 102
  4. 2020PC-PG: Policy Cover Directed Exploration for Provable Policy Gradient Learningcited by 91
  5. 2021Policy Mirror Descent for Regularized Reinforcement Learning: A Generalized Framework with Linear Convergencecited by 83
  6. 2020Optimistic Policy Optimization with Bandit Feedbackcited by 79
  7. 2021Cautiously Optimistic Policy Optimization and Exploration with Linear Function Approximationcited by 53
  8. 2020On Linear Convergence of Policy Gradient Methods for Finite MDPscited by 51
  9. 2021On the Linear convergence of Natural Policy Gradient Algorithmcited by 48
  10. 2022Linear Convergence of Natural Policy Gradient Methods with Log-Linear Policiescited by 44
  11. 2019Neural Proximal/Trust Region Policy Optimization Attains Globally Optimal Policycited by 42
  12. 2020Leverage the Average: an Analysis of KL Regularization in RLcited by 33
  13. 2022Mirror Descent with Relative Smoothness in Measure Spaces, with application to Sinkhorn and EMcited by 33
  14. 2022Mirror Learning: A Unifying Framework of Policy Optimisationcited by 31
  15. 2022Target Network and Truncation Overcome The Deadly Triad in Q-Learningcited by 31
  16. 2023A Novel Framework for Policy Mirror Descent with General Parameterization and Linear Convergencecited by 29
  17. 2021Finite-Sample Analysis of Off-Policy Natural Actor-Critic with Linear Function Approximationcited by 22
  18. 2022Policy Optimization over General State and Action Spacescited by 21
  19. 2023Optimal Convergence Rate for Exact Policy Mirror Descent in Discounted Markov Decision Processescited by 17
  20. 2021A general class of surrogate functions for stable and efficient reinforcement learningcited by 16
  21. 2022Homotopic Policy Mirror Descent: Policy Convergence, Implicit Regularization, and Improved Sample Complexitycited by 14
  22. 2019Probability Functional Descent: A Unifying Perspective on GANs, Variational Inference, and Reinforcement Learningcited by 11
  23. 2023Policy Mirror Descent Inherently Explores Action Spacecited by 11
  24. 2022Block Policy Mirror Descentcited by 10

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