mlsanityData to 7 Oct 2026

Is Bang-Bang Control All You Need? Solving Continuous Control with Bernoulli Policies

arXiv 2111.02552 ↗First posted 3 Nov 2021cs.LG cs.AI cs.ROcited by 37

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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

  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. 2016Categorical Reparameterization with Gumbel-Softmaxcited by 2,708
  5. 2013Estimating or Propagating Gradients Through Stochastic Neurons for Conditional Computationcited by 2,031
  6. 2018Off-Policy Deep Reinforcement Learning without Explorationcited by 1,227
  7. 2018Soft Actor-Critic Algorithms and Applicationscited by 1,179
  8. 2016The Concrete Distribution: A Continuous Relaxation of Discrete Random Variablescited by 1,135
  9. 2020Mastering Atari with Discrete World Modelscited by 990
  10. 2020Learning Quadrupedal Locomotion over Challenging Terraincited by 494
  11. 2020dm_control: Software and Tasks for Continuous Controlcited by 368
  12. 2016Benchmarking Deep Reinforcement Learning for Continuous Controlcited by 361
20 more
  1. 2016Safe and Efficient Off-Policy Reinforcement Learningcited by 260
  2. 2020Acme: A Research Framework for Distributed Reinforcement Learningcited by 146
  3. 2017Action Branching Architectures for Deep Reinforcement Learningcited by 90
  4. 2020An empirical investigation of the challenges of real-world reinforcement learningcited by 75
  5. 2019Discretizing Continuous Action Space for On-Policy Optimizationcited by 65
  6. 2018Remember and Forget for Experience Replaycited by 42
  7. 2019Value constrained model-free continuous controlcited by 34
  8. 2018Relative Entropy Regularized Policy Iterationcited by 32
  9. 2019Growing Action Spacescited by 29
  10. 2019Learning Gentle Object Manipulation with Curiosity-Driven Deep Reinforcement Learningcited by 25
  11. 2018Learning to Run challenge solutions: Adapting reinforcement learning methods for neuromusculoskeletal environmentscited by 19
  12. 2020Tonic: A Deep Reinforcement Learning Library for Fast Prototyping and Benchmarkingcited by 18
  13. 2020Learning to Plan Optimistically: Uncertainty-Guided Deep Exploration via Latent Model Ensemblescited by 14
  14. 2020Reinforcement Learning of Musculoskeletal Control from Functional Simulationscited by 8
  15. 2021MPC-based Reinforcement Learning for Economic Problems with Application to Battery Storagecited by 7
  16. 2020Discrete Action On-Policy Learning with Action-Value Criticcited by 3
  17. 2015High-Speed Finite Control Set Model Predictive Control for Power Electronicscited by 1
  18. 2016Decompositions and bang-bang propertiescited by 1
  19. 2016Second-Order Switching Time Optimization for Switched Dynamical Systemscited by 1
  20. 2017Second-Order Analysis and Numerical Approximation for Bang-Bang Bilinear Control Problemscited by 1

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Citing papers per year: 2022: 8; 2023: 6; 2024: 12; 2025: 5; 2026: 6.

37 papers.

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  1. 2022Action Noise in Off-Policy Deep Reinforcement Learning: Impact on Exploration and Performancecited by 21
  2. 2022Solving Continuous Control via Q-learningcited by 21
  3. 2024Deep Policy Gradient Methods Without Batch Updates, Target Networks, or Replay Bufferscited by 16
  4. 2024Continuous Control with Coarse-to-fine Reinforcement Learningcited by 15
  5. 2023Reinforcement Learning with Simple Sequence Priorscited by 11
  6. 2022Bingham Policy Parameterization for 3D Rotations in Reinforcement Learningcited by 7
  7. 2022TC-Driver: Trajectory Conditioned Driving for Robust Autonomous Racing -- A Reinforcement Learning Approachcited by 6
  8. 2023On the Theory of Risk-Aware Agents: Bridging Actor-Critic and Economicscited by 6
  9. 2024REValueD: Regularised Ensemble Value-Decomposition for Factorisable Markov Decision Processescited by 6
  10. 2024Growing Q-Networks: Solving Continuous Control Tasks with Adaptive Control Resolutioncited by 6
  11. 2023Distributional Reinforcement Learning-based Energy Arbitrage Strategies in Imbalance Settlement Mechanismcited by 5
  12. 2024Stochastic Q-learning for Large Discrete Action Spacescited by 5
25 more
  1. 2024Redundancy-aware Action Spaces for Robot Learningcited by 5
  2. 2022Using Simulation Optimization to Improve Zero-shot Policy Transfer of Quadrotorscited by 4
  3. 2024Discretizing Continuous Action Space with Unimodal Probability Distributions for On-Policy Reinforcement Learningcited by 4
  4. 2023Robust Path Following on Rivers Using Bootstrapped Reinforcement Learningcited by 3
  5. 2024Temporal-Difference Learning Using Distributed Error Signalscited by 3
  6. 2024An Investigation of Offline Reinforcement Learning in Factorisable Action Spacescited by 3
  7. 2025Model Predictive Control-Guided Reinforcement Learning for Implicit Balancingcited by 3
  8. 2023Sense, Imagine, Act: Multimodal Perception Improves Model-Based Reinforcement Learning for Head-to-Head Autonomous Racingcited by 1
  9. 2023A Statistical Guarantee for Representation Transfer in Multitask Imitation Learningcited by 1
  10. 2024Control Policy Correction Framework for Reinforcement Learning-based Energy Arbitrage Strategiescited by 1
  11. 2026RN-D: Discretized Categorical Actors for On-Policy Reinforcement Learningcited by 1
  12. 2026Reward hacking in physical reinforcement learning revealed by turbulent drag reductioncited by 1
  13. 2026Position: Behavioral Systems Require Behavioral Testscited by 1
  14. 2022GPU-Accelerated Policy Optimization via Batch Automatic Differentiation of Gaussian Processes for Real-World Controlcited by 0
  15. 2022RangL: A Reinforcement Learning Competition Platformcited by 0
  16. 2022Game-theoretic Objective Space Planningcited by 0
  17. 2024Model-Free versus Model-Based Reinforcement Learning for Fixed-Wing UAV Attitude Control Under Varying Wind Conditionscited by 0
  18. 2024Learning in complex action spaces without policy gradientscited by 0
  19. 2025Distributions as Actions: A Unified Framework for Diverse Action Spacescited by 0
  20. 2025Local Reinforcement Learning with Action-Conditioned Root Mean Squared Q-Functionscited by 0
  21. 2025D2C-HRHR: Discrete Actions with Double Distributional Critics for High-Risk-High-Return Taskscited by 0
  22. 2025Actor-Free Continuous Control via Structurally Maximizable Q-Functionscited by 0
  23. 2026Lloyd's K-Means Clustering Algorithm Is Frank-Wolfe in Disguisecited by 0
  24. 2026Where Entropy Is Measured Matters: Policy Geometry in Bounded Continuous-Control PPOcited by 0
  25. 2026Latent Telepathy: Multi-Robot Communication with Self-Supervised Perceptual Latentscited by 0

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