# Soft-Robust Actor-Critic Policy-Gradient

arXiv: https://arxiv.org/abs/1803.04848 · HTML: https://mlsanity.com/paper/1803.04848/

## Key facts

- Cited by 37 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 11 Mar 2018.

## Built on by (most cited first, 30 of 37)

- [Recurrent Model-Free RL Can Be a Strong Baseline for Many POMDPs](https://mlsanity.com/paper/2110.05038/) (2021)
- [Robust Reinforcement Learning using Offline Data](https://mlsanity.com/paper/2208.05129/) (2022)
- [Sample Complexity of Robust Reinforcement Learning with a Generative Model](https://mlsanity.com/paper/2112.01506/) (2021)
- [Reinforcement Learning for Selective Key Applications in Power Systems: Recent Advances and Future Challenges](https://mlsanity.com/paper/2102.01168/) (2021)
- [Twice regularized MDPs and the equivalence between robustness and regularization](https://mlsanity.com/paper/2110.06267/) (2021)
- [Improved Sample Complexity Bounds for Distributionally Robust Reinforcement Learning](https://mlsanity.com/paper/2303.02783/) (2023)
- [Natural Actor-Critic for Robust Reinforcement Learning with Function Approximation](https://mlsanity.com/paper/2307.08875/) (2023)
- [Policy Gradient for Rectangular Robust Markov Decision Processes](https://mlsanity.com/paper/2301.13589/) (2023)
- [Bayesian Robust Optimization for Imitation Learning](https://mlsanity.com/paper/2007.12315/) (2020)
- [Robust Imitation Learning against Variations in Environment Dynamics](https://mlsanity.com/paper/2206.09314/) (2022)
- [Distributionally Robust Off-Dynamics Reinforcement Learning: Provable Efficiency with Linear Function Approximation](https://mlsanity.com/paper/2402.15399/) (2024)
- [Sample-Efficient Robust Multi-Agent Reinforcement Learning in the Face of Environmental Uncertainty](https://mlsanity.com/paper/2404.18909/) (2024)
- [Model-Based Offline Reinforcement Learning with Pessimism-Modulated Dynamics Belief](https://mlsanity.com/paper/2210.06692/) (2022)
- [Robust Policy Learning over Multiple Uncertainty Sets](https://mlsanity.com/paper/2202.07013/) (2022)
- [Soft Robust MDPs and Risk-Sensitive MDPs: Equivalence, Policy Gradient, and Sample Complexity](https://mlsanity.com/paper/2306.11626/) (2023)
- [Distributionally Robust Model-based Reinforcement Learning with Large State Spaces](https://mlsanity.com/paper/2309.02236/) (2023)
- [Single-Trajectory Distributionally Robust Reinforcement Learning](https://mlsanity.com/paper/2301.11721/) (2023)
- [Risk-Averse Model Uncertainty for Distributionally Robust Safe Reinforcement Learning](https://mlsanity.com/paper/2301.12593/) (2023)
- [Policy Gradient Bayesian Robust Optimization for Imitation Learning](https://mlsanity.com/paper/2106.06499/) (2021)
- [Optimal Transport Perturbations for Safe Reinforcement Learning with Robustness Guarantees](https://mlsanity.com/paper/2301.13375/) (2023)
- [Robust Reinforcement Learning in Continuous Control Tasks with Uncertainty Set Regularization](https://mlsanity.com/paper/2207.02016/) (2022)
- [Value-Distributional Model-Based Reinforcement Learning](https://mlsanity.com/paper/2308.06590/) (2023)
- [RASR: Risk-Averse Soft-Robust MDPs with EVaR and Entropic Risk](https://mlsanity.com/paper/2209.04067/) (2022)
- [Lyapunov Robust Constrained-MDPs: Soft-Constrained Robustly Stable Policy Optimization under Model Uncertainty](https://mlsanity.com/paper/2108.02701/) (2021)
- [DR-SAC: Distributionally Robust Soft Actor-Critic for Reinforcement Learning under Uncertainty](https://mlsanity.com/paper/2506.12622/) (2025)
- [Solving Multi-Model MDPs by Coordinate Ascent and Dynamic Programming](https://mlsanity.com/paper/2407.06329/) (2024)
- [Evaluating the progress of Deep Reinforcement Learning in the real world: aligning domain-agnostic and domain-specific research](https://mlsanity.com/paper/2107.03015/) (2021)
- [Twice Regularized Markov Decision Processes: The Equivalence between Robustness and Regularization](https://mlsanity.com/paper/2303.06654/) (2023)
- [Empirical Study on Robustness and Resilience in Cooperative Multi-Agent Reinforcement Learning](https://mlsanity.com/paper/2510.11824/) (2025)
- [Long-Horizon Model-Based Offline Reinforcement Learning Without Explicit Conservatism](https://mlsanity.com/paper/2512.04341/) (2025)

## Abstract (arXiv)

Robust Reinforcement Learning aims to derive optimal behavior that accounts for model uncertainty in dynamical systems. However, previous studies have shown that by considering the worst case scenario, robust policies can be overly conservative. Our soft-robust framework is an attempt to overcome this issue. In this paper, we present a novel Soft-Robust Actor-Critic algorithm (SR-AC). It learns an optimal policy with respect to a distribution over an uncertainty set and stays robust to model uncertainty but avoids the conservativeness of robust strategies. We show the convergence of SR-AC and test the efficiency of our approach on different domains by comparing it against regular learning methods and their robust formulations.
