Is Bang-Bang Control All You Need? Solving Continuous Control with Bernoulli Policies
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Abstract (arXiv)
Reinforcement learning (RL) for continuous control typically employs distributions whose support covers the entire action space. In this work, we investigate the colloquially known phenomenon that trained agents often prefer actions at the boundaries of that space. We draw theoretical connections to the emergence of bang-bang behavior in optimal control, and provide extensive empirical evaluation across a variety of recent RL algorithms. We replace the normal Gaussian by a Bernoulli distribution that solely considers the extremes along each action dimension - a bang-bang controller. Surprisingly, this achieves state-of-the-art performance on several continuous control benchmarks - in contrast to robotic hardware, where energy and maintenance cost affect controller choices. Since exploration, learning,and the final solution are entangled in RL, we provide additional imitation learning experiments to reduce the impact of exploration on our analysis. Finally, we show that our observations generalize to environments that aim to model real-world challenges and evaluate factors to mitigate the emergence of bang-bang solutions. Our findings emphasize challenges for benchmarking continuous control algorithms, particularly in light of potential real-world applications.
Key facts. Cited by 37 papers in the map (data through 7 Oct 2026). Builds on 32 of its 58 references that are in the map. First posted on arXiv 3 Nov 2021.
Builds on
32 of 58 references.
References · 32
- 2017Proximal Policy Optimization Algorithmscited by 14,441
- 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,635
- 2015Continuous control with deep reinforcement learningcited by 3,279
- 2016Categorical Reparameterization with Gumbel-Softmaxcited by 2,708
- 2013Estimating or Propagating Gradients Through Stochastic Neurons for Conditional Computationcited by 2,031
- 2018Off-Policy Deep Reinforcement Learning without Explorationcited by 1,227
- 2018Soft Actor-Critic Algorithms and Applicationscited by 1,179
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- 2016Benchmarking Deep Reinforcement Learning for Continuous Controlcited by 361
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- 2017Action Branching Architectures for Deep Reinforcement Learningcited by 90
- 2020An empirical investigation of the challenges of real-world reinforcement learningcited by 75
- 2019Discretizing Continuous Action Space for On-Policy Optimizationcited by 65
- 2018Remember and Forget for Experience Replaycited by 42
- 2019Value constrained model-free continuous controlcited by 34
- 2018Relative Entropy Regularized Policy Iterationcited by 32
- 2019Growing Action Spacescited by 29
- 2019Learning Gentle Object Manipulation with Curiosity-Driven Deep Reinforcement Learningcited by 25
- 2018Learning to Run challenge solutions: Adapting reinforcement learning methods for neuromusculoskeletal environmentscited by 19
- 2020Tonic: A Deep Reinforcement Learning Library for Fast Prototyping and Benchmarkingcited by 18
- 2020Learning to Plan Optimistically: Uncertainty-Guided Deep Exploration via Latent Model Ensemblescited by 14
- 2020Reinforcement Learning of Musculoskeletal Control from Functional Simulationscited by 8
- 2021MPC-based Reinforcement Learning for Economic Problems with Application to Battery Storagecited by 7
- 2020Discrete Action On-Policy Learning with Action-Value Criticcited by 3
- 2015High-Speed Finite Control Set Model Predictive Control for Power Electronicscited by 1
- 2016Decompositions and bang-bang propertiescited by 1
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Citing papers per year: 2022: 8; 2023: 6; 2024: 12; 2025: 5; 2026: 6.
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