OptLayer - Practical Constrained Optimization for Deep Reinforcement Learning in the Real World
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Abstract (arXiv)
While deep reinforcement learning techniques have recently produced considerable achievements on many decision-making problems, their use in robotics has largely been limited to simulated worlds or restricted motions, since unconstrained trial-and-error interactions in the real world can have undesirable consequences for the robot or its environment. To overcome such limitations, we propose a novel reinforcement learning architecture, OptLayer, that takes as inputs possibly unsafe actions predicted by a neural network and outputs the closest actions that satisfy chosen constraints. While learning control policies often requires carefully crafted rewards and penalties while exploring the range of possible actions, OptLayer ensures that only safe actions are actually executed and unsafe predictions are penalized during training. We demonstrate the effectiveness of our approach on robot reaching tasks, both simulated and in the real world.
Key facts. Cited by 64 papers in the map (data through 7 Oct 2026). First posted on arXiv 22 Sep 2017.
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Citing papers per year: 2021: 15; 2022: 8; 2023: 13; 2024: 13; 2025: 7; 2026: 8.
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- 2021Safe Learning in Robotics: From Learning-Based Control to Safe Reinforcement Learningcited by 337
- 2022A Review of Safe Reinforcement Learning: Methods, Theory and Applicationscited by 169
- 2024A Survey of Constraint Formulations in Safe Reinforcement Learningcited by 42
- 2023Safe Reinforcement Learning via Probabilistic Logic Shieldscited by 41
- 2021Context-Aware Safe Reinforcement Learning for Non-Stationary Environmentscited by 33
- 2022Trustworthy Reinforcement Learning Against Intrinsic Vulnerabilities: Robustness, Safety, and Generalizabilitycited by 32
- 2021Enforcing Policy Feasibility Constraints through Differentiable Projection for Energy Optimizationcited by 31
- 2022Provably Safe Reinforcement Learning: Conceptual Analysis, Survey, and Benchmarkingcited by 31
- 2021Feasible Actor-Critic: Constrained Reinforcement Learning for Ensuring Statewise Safetycited by 30
- 2022Towards Safe Reinforcement Learning with a Safety Editor Policycited by 28
- 2021Safe Pontryagin Differentiable Programmingcited by 25
- 2021Density Constrained Reinforcement Learningcited by 25
38 more
- 2021Escaping from Zero Gradient: Revisiting Action-Constrained Reinforcement Learning via Frank-Wolfe Policy Optimizationcited by 18
- 2023Deep Offline Reinforcement Learning for Real-world Treatment Optimization Applicationscited by 17
- 2022Provably Safe Deep Reinforcement Learning for Robotic Manipulation in Human Environmentscited by 16
- 2024FlowPG: Action-constrained Policy Gradient with Normalizing Flowscited by 16
- 2022Safe Reinforcement Learning of Dynamic High-Dimensional Robotic Tasks: Navigation, Manipulation, Interactioncited by 15
- 2021Lyapunov Barrier Policy Optimizationcited by 12
- 2024Safe Reinforcement Learning on the Constraint Manifold: Theory and Applicationscited by 12
- 2024Safety Filtering While Training: Improving the Performance and Sample Efficiency of Reinforcement Learning Agentscited by 11
- 2023Benchmarking Actor-Critic Deep Reinforcement Learning Algorithms for Robotics Control with Action Constraintscited by 10
- 2023Generative Modelling of Stochastic Actions with Arbitrary Constraints in Reinforcement Learningcited by 10
- 2023Reinforcement Learning for Safe Robot Control using Control Lyapunov Barrier Functionscited by 9
- 2025Efficient Action-Constrained Reinforcement Learning via Acceptance-Rejection Method and Augmented MDPscited by 8
- 2023Quasi-optimal Reinforcement Learning with Continuous Actionscited by 7
- 2023Towards Safe Autonomous Driving Policies using a Neuro-Symbolic Deep Reinforcement Learning Approachcited by 7
- 2021A Closer Look at Advantage-Filtered Behavioral Cloning in High-Noise Datasetscited by 5
- 2021Look Before You Leap: Safe Model-Based Reinforcement Learning with Human Interventioncited by 5
- 2022Safe reinforcement learning for multi-energy management systems with known constraint functionscited by 5
- 2023Reduced Policy Optimization for Continuous Control with Hard Constraintscited by 5
- 2024Efficient Motion Planning for Manipulators with Control Barrier Function-Induced Neural Controllercited by 5
- 2025Safe Reinforcement Learning using Action Projection: Safeguard the Policy or the Environment?cited by 5
- 2021Learn Zero-Constraint-Violation Policy in Model-Free Constrained Reinforcement Learningcited by 4
- 2024Bridging the gap between Learning-to-plan, Motion Primitives and Safe Reinforcement Learningcited by 4
- 2024Implicit Safe Set Algorithm for Provably Safe Reinforcement Learningcited by 3
- 2024A Retention-Centric Framework for Continual Learning with Guaranteed Model Developmental Safetycited by 3
- 2021Learning Collision-free and Torque-limited Robot Trajectories based on Alternative Safe Behaviorscited by 2
- 2025Leveraging Constraint Violation Signals For Action-Constrained Reinforcement Learningcited by 2
- 2025Action-Constrained Imitation Learningcited by 2
- 2026Improving Feasibility via Fast Autoencoder-Based Projectionscited by 2
- 2023An adaptive safety layer with hard constraints for safe reinforcement learning in multi-energy management systemscited by 1
- 2024Towards Interpretable Reinforcement Learning with Constrained Normalizing Flow Policiescited by 1
- 2024Deep reinforcement learning for weakly coupled MDP's with continuous actionscited by 1
- 2026Reinforcement Learning for Control Systems with Time Delays: A Comprehensive Surveycited by 1
- 2021Towards a Sample Efficient Reinforcement Learning Pipeline for Vision Based Roboticscited by 0
- 2021Monolithic vs. hybrid controller for multi-objective Sim-to-Real learningcited by 0
- 2021Transferring Reinforcement Learning for DC-DC Buck Converter Control via Duty Ratio Mapping: From Simulation to Implementationcited by 0
- 2022Neural-Progressive Hedging: Enforcing Constraints in Reinforcement Learning with Stochastic Programmingcited by 0
- 2023Probabilistic Counterexample Guidance for Safer Reinforcement Learning (Extended Version)cited by 0
- 2023Reinforcement Learning in a Safety-Embedded MDP with Trajectory Optimizationcited by 0
50 most cited of 64 All 64 (JSON)
- 2026Herding End-to-End Autonomous Driving via Neuro-Symbolic Safety Guards11 Aug 2026
- 2026Differentiable Policy Transport over Multi-Layer Network Feasibility Geometry2 Aug 2026
- 2026Learning Reach-Avoid Task with Reinforcement Learning: Vectorized Simulation and Benchmark17 Jul 2026
- 2026Bellman-Taylor Score Decoding for Markov Decision Processes with State-Dependent Feasible Action Sets9 Jun 2026
- 2026Constraint-Enhanced Reinforcement Learning Based on Dynamic Decoupled Spherical Radial Squashing5 May 2026
- 2026Improving Feasibility via Fast Autoencoder-Based Projections3 Apr 2026
- 2026On the Equilibrium between Feasible Zone and Uncertain Model in Safe Exploration31 Jan 2026
- 2026Reinforcement Learning for Control Systems with Time Delays: A Comprehensive Survey30 Jan 2026
- 2025Adaptive GR(1) Specification Repair for Liveness-Preserving Shielding in Reinforcement Learning4 Nov 2025
- 2025Safe Reinforcement Learning using Action Projection: Safeguard the Policy or the Environment?16 Sep 2025
- 2025Action-Constrained Imitation Learning20 Aug 2025
- 2025Learning safe, constrained policies via imitation learning: Connection to Probabilistic Inference and a Naive Algorithm9 Jul 2025
38 more
- 2025Efficient Action-Constrained Reinforcement Learning via Acceptance-Rejection Method and Augmented MDPs17 Mar 2025
- 2025Navigating Demand Uncertainty in Container Shipping: Deep Reinforcement Learning for Enabling Adaptive and Feasible Master Stowage Planning18 Feb 2025
- 2025Leveraging Constraint Violation Signals For Action-Constrained Reinforcement Learning8 Feb 2025
- 2024Safety Filtering While Training: Improving the Performance and Sample Efficiency of Reinforcement Learning Agents15 Oct 2024
- 2024A Retention-Centric Framework for Continual Learning with Guaranteed Model Developmental Safety4 Oct 2024
- 2024Absolute State-wise Constrained Policy Optimization: High-Probability State-wise Constraints Satisfaction2 Oct 2024
- 2024Autoregressive Policy Optimization for Constrained Allocation Tasks27 Sep 2024
- 2024Bridging the gap between Learning-to-plan, Motion Primitives and Safe Reinforcement Learning26 Aug 2024
- 2024Deep reinforcement learning for weakly coupled MDP's with continuous actions3 Jun 2024
- 2024Implicit Safe Set Algorithm for Provably Safe Reinforcement Learning4 May 2024
- 2024Towards Interpretable Reinforcement Learning with Constrained Normalizing Flow Policies2 May 2024
- 2024Safe Reinforcement Learning on the Constraint Manifold: Theory and Applications13 Apr 2024
- 2024Efficient Motion Planning for Manipulators with Control Barrier Function-Induced Neural Controller1 Apr 2024
- 2024Uniformly Safe RL with Objective Suppression for Multi-Constraint Safety-Critical Applications23 Feb 2024
- 2024FlowPG: Action-constrained Policy Gradient with Normalizing Flows7 Feb 2024
- 2024A Survey of Constraint Formulations in Safe Reinforcement Learning3 Feb 2024
- 2023Generative Modelling of Stochastic Actions with Arbitrary Constraints in Reinforcement Learning26 Nov 2023
- 2023How to ensure a safe control strategy? Towards a SRL for urban transit autonomous operation24 Nov 2023
- 2023SCPO: Safe Reinforcement Learning with Safety Critic Policy Optimization1 Nov 2023
- 2023Reduced Policy Optimization for Continuous Control with Hard Constraints14 Oct 2023
- 2023Reinforcement Learning in a Safety-Embedded MDP with Trajectory Optimization10 Oct 2023
- 2023Probabilistic Counterexample Guidance for Safer Reinforcement Learning (Extended Version)10 Jul 2023
- 2023Towards Safe Autonomous Driving Policies using a Neuro-Symbolic Deep Reinforcement Learning Approach3 Jul 2023
- 2023Reinforcement Learning for Safe Robot Control using Control Lyapunov Barrier Functions16 May 2023
- 2023An adaptive safety layer with hard constraints for safe reinforcement learning in multi-energy management systems18 Apr 2023
- 2023Benchmarking Actor-Critic Deep Reinforcement Learning Algorithms for Robotics Control with Action Constraints18 Apr 2023
- 2023Safe Reinforcement Learning via Probabilistic Logic Shields6 Mar 2023
- 2023Deep Offline Reinforcement Learning for Real-world Treatment Optimization Applications15 Feb 2023
- 2023Quasi-optimal Reinforcement Learning with Continuous Actions21 Jan 2023
- 2022Safe Reinforcement Learning of Dynamic High-Dimensional Robotic Tasks: Navigation, Manipulation, Interaction27 Sep 2022
- 2022Trustworthy Reinforcement Learning Against Intrinsic Vulnerabilities: Robustness, Safety, and Generalizability16 Sep 2022
- 2022Safe reinforcement learning for multi-energy management systems with known constraint functions8 Jul 2022
- 2022A Review of Safe Reinforcement Learning: Methods, Theory and Applications20 May 2022
- 2022Provably Safe Reinforcement Learning: Conceptual Analysis, Survey, and Benchmarking13 May 2022
- 2022Provably Safe Deep Reinforcement Learning for Robotic Manipulation in Human Environments12 May 2022
- 2022Neural-Progressive Hedging: Enforcing Constraints in Reinforcement Learning with Stochastic Programming27 Feb 2022
- 2022Towards Safe Reinforcement Learning with a Safety Editor Policy28 Jan 2022
- 2021Learn Zero-Constraint-Violation Policy in Model-Free Constrained Reinforcement Learning25 Nov 2021
50 newest of 64 All 64 (JSON)
- 2023Deep Offline Reinforcement Learning for Real-world Treatment Optimization Applicationscited by 17
- 2021A Closer Look at Advantage-Filtered Behavioral Cloning in High-Noise Datasetscited by 5
- 2025Action-Constrained Imitation Learningcited by 2
- 2025Learning safe, constrained policies via imitation learning: Connection to Probabilistic Inference and a Naive Algorithmcited by 0
- 2025Action-Constrained Imitation Learning20 Aug 2025
- 2025Learning safe, constrained policies via imitation learning: Connection to Probabilistic Inference and a Naive Algorithm9 Jul 2025
- 2023Deep Offline Reinforcement Learning for Real-world Treatment Optimization Applications15 Feb 2023
- 2021A Closer Look at Advantage-Filtered Behavioral Cloning in High-Noise Datasets10 Oct 2021
- 2021Safe Learning in Robotics: From Learning-Based Control to Safe Reinforcement Learningcited by 337
- 2022A Review of Safe Reinforcement Learning: Methods, Theory and Applicationscited by 169
- 2024A Survey of Constraint Formulations in Safe Reinforcement Learningcited by 42
- 2023Safe Reinforcement Learning via Probabilistic Logic Shieldscited by 41
- 2021Context-Aware Safe Reinforcement Learning for Non-Stationary Environmentscited by 33
- 2022Trustworthy Reinforcement Learning Against Intrinsic Vulnerabilities: Robustness, Safety, and Generalizabilitycited by 32
- 2021Enforcing Policy Feasibility Constraints through Differentiable Projection for Energy Optimizationcited by 31
- 2022Provably Safe Reinforcement Learning: Conceptual Analysis, Survey, and Benchmarkingcited by 31
- 2021Feasible Actor-Critic: Constrained Reinforcement Learning for Ensuring Statewise Safetycited by 30
- 2022Towards Safe Reinforcement Learning with a Safety Editor Policycited by 28
- 2021Safe Pontryagin Differentiable Programmingcited by 25
- 2021Density Constrained Reinforcement Learningcited by 25
12 most cited of 58 All 58 (JSON)
- 2026Differentiable Policy Transport over Multi-Layer Network Feasibility Geometry2 Aug 2026
- 2026Learning Reach-Avoid Task with Reinforcement Learning: Vectorized Simulation and Benchmark17 Jul 2026
- 2026Bellman-Taylor Score Decoding for Markov Decision Processes with State-Dependent Feasible Action Sets9 Jun 2026
- 2026Constraint-Enhanced Reinforcement Learning Based on Dynamic Decoupled Spherical Radial Squashing5 May 2026
- 2026Improving Feasibility via Fast Autoencoder-Based Projections3 Apr 2026
- 2026On the Equilibrium between Feasible Zone and Uncertain Model in Safe Exploration31 Jan 2026
- 2026Reinforcement Learning for Control Systems with Time Delays: A Comprehensive Survey30 Jan 2026
- 2025Adaptive GR(1) Specification Repair for Liveness-Preserving Shielding in Reinforcement Learning4 Nov 2025
- 2025Safe Reinforcement Learning using Action Projection: Safeguard the Policy or the Environment?16 Sep 2025
- 2025Efficient Action-Constrained Reinforcement Learning via Acceptance-Rejection Method and Augmented MDPs17 Mar 2025
- 2025Navigating Demand Uncertainty in Container Shipping: Deep Reinforcement Learning for Enabling Adaptive and Feasible Master Stowage Planning18 Feb 2025
- 2025Leveraging Constraint Violation Signals For Action-Constrained Reinforcement Learning8 Feb 2025
12 newest of 58 All 58 (JSON)