Jointly Learning to Construct and Control Agents using Deep Reinforcement Learning
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Abstract (arXiv)
The physical design of a robot and the policy that controls its motion are inherently coupled, and should be determined according to the task and environment. In an increasing number of applications, data-driven and learning-based approaches, such as deep reinforcement learning, have proven effective at designing control policies. For most tasks, the only way to evaluate a physical design with respect to such control policies is empirical--i.e., by picking a design and training a control policy for it. Since training these policies is time-consuming, it is computationally infeasible to train separate policies for all possible designs as a means to identify the best one. In this work, we address this limitation by introducing a method that performs simultaneous joint optimization of the physical design and control network. Our approach maintains a distribution over designs and uses reinforcement learning to optimize a control policy to maximize expected reward over the design distribution. We give the controller access to design parameters to allow it to tailor its policy to each design in the distribution. Throughout training, we shift the distribution towards higher-performing designs, eventually converging to a design and control policy that are jointly optimal. We evaluate our approach in the context of legged locomotion, and demonstrate that it discovers novel designs and walking gaits, outperforming baselines in both performance and efficiency.
Key facts. Cited by 51 papers in the map (data through 7 Oct 2026). First posted on arXiv 4 Jan 2018.
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Citing papers per year: 2021: 10; 2022: 12; 2023: 8; 2024: 8; 2025: 8; 2026: 5.
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- 2021Embodied Intelligence via Learning and Evolutioncited by 154
- 2024Scaling Cross-Embodied Learning: One Policy for Manipulation, Navigation, Locomotion and Aviationcited by 108
- 2022MetaMorph: Learning Universal Controllers with Transformerscited by 78
- 2021An End-to-End Differentiable Framework for Contact-Aware Robot Designcited by 53
- 2022Evolution Gym: A Large-Scale Benchmark for Evolving Soft Robotscited by 44
- 2021Transform2Act: Learning a Transform-and-Control Policy for Efficient Agent Designcited by 34
- 2021Task-Agnostic Morphology Evolutioncited by 22
- 2021Bayesian Meta-Learning for Few-Shot Policy Adaptation Across Robotic Platformscited by 22
- 2023Universal Morphology Control via Contextual Modulationcited by 21
- 2021Learning Modular Robot Control Policiescited by 18
- 2023Searching for High-Value Molecules Using Reinforcement Learning and Transformerscited by 18
- 2022REvolveR: Continuous Evolutionary Models for Robot-to-robot Policy Transfercited by 12
38 more
- 2022From Universal Humanoid Control to Automatic Physically Valid Character Creationcited by 11
- 2021The Effects of Learning in Morphologically Evolving Robot Systemscited by 10
- 2021DiffAqua: A Differentiable Computational Design Pipeline for Soft Underwater Swimmers with Shape Interpolationcited by 9
- 2025VLMgineer: Vision Language Models as Robotic Toolsmithscited by 9
- 2023MORPH: Design Co-optimization with Reinforcement Learning via a Differentiable Hardware Model Proxycited by 8
- 2024Text2Robot: Evolutionary Robot Design from Text Descriptionscited by 8
- 2023Reinforcement learning for freeform robot designcited by 7
- 2023Learning to Design and Use Tools for Robotic Manipulationcited by 7
- 2024Dynamics-Guided Diffusion Model for Sensor-less Robot Manipulator Designcited by 7
- 2021Efficient Hyperparameter Optimization for Physics-based Character Animationcited by 4
- 2022Creative Problem Solving in Artificially Intelligent Agents: A Survey and Frameworkcited by 4
- 2023Leveraging Hyperbolic Embeddings for Coarse-to-Fine Robot Designcited by 4
- 2024Co-Optimizing Reconfigurable Environments and Policies for Decentralized Multi-Agent Navigationcited by 4
- 2024Task2Morph: Differentiable Task-inspired Framework for Contact-Aware Robot Designcited by 4
- 2025House of Dextra: Cross-embodied Co-design for Dexterous Handscited by 4
- 2025Embodied Co-Design for Rapidly Evolving Agents: Taxonomy, Frontiers, and Challengescited by 4
- 2022Co-Imitation: Learning Design and Behaviour by Imitationcited by 3
- 2021What Robot do I Need? Fast Co-Adaptation of Morphology and Control using Graph Neural Networkscited by 2
- 2022The Introspective Agent: Interdependence of Strategy, Physiology, and Sensing for Embodied Agentscited by 2
- 2022Adversarial Body Shape Search for Legged Robotscited by 2
- 2022C^2:Co-design of Robots via Concurrent Networks Coupling Online and Offline Reinforcement Learningcited by 2
- 2023ECoDe: A Sample-Efficient Method for Co-Design of Robotic Agentscited by 2
- 2024CompetEvo: Towards Morphological Evolution from Competitioncited by 2
- 2024Reinforcement Learning for Efficient Design and Control Co-optimisation of Energy Systemscited by 2
- 2025A Design Co-Pilot for Task-Tailored Manipulatorscited by 2
- 2023Lamarck's Revenge: Inheritance of Learned Traits Can Make Robot Evolution Bettercited by 1
- 2025Scaling Multi-Agent Environment Co-Design with Diffusion Modelscited by 1
- 2026Shape Your Body: Value Gradients for Multi-Embodiment Robot Designcited by 1
- 2022Malleable Agents for Re-Configurable Robotic Manipulatorscited by 0
- 2022Unified Simulation, Perception, and Generation of Human Behaviorcited by 0
- 2022Selecting Mechanical Parameters of a Monopode Jumping System with Reinforcement Learningcited by 0
- 2024Solving Vision Tasks with Simple Photoreceptors Instead of Camerascited by 0
- 2025Efficient Morphology-Aware Policy Transfer to New Embodimentscited by 0
- 2025Digital Twin-enabled Multi-generation Control Co-Design with Deep Reinforcement Learningcited by 0
- 2025Digital Twin-based Control Co-Design of Full Vehicle Active Suspensions via Deep Reinforcement Learningcited by 0
- 2026Environment Parameter Gradient Theorem for Co-Design in Reinforcement Learningcited by 0
- 2026BRIDGE: An Open-Source Humanoid Platform via Morphology-Control Co-Design for Physical AIcited by 0
- 2026GLAMDRING: Gait Learning And Morphology co-Design via Reinforcement LearnING of CPGscited by 0
50 most cited of 51 All 51 (JSON)
- 2026Intelligence Across Embodiments22 Sep 2026
- 2026GLAMDRING: Gait Learning And Morphology co-Design via Reinforcement LearnING of CPGs16 Sep 2026
- 2026BRIDGE: An Open-Source Humanoid Platform via Morphology-Control Co-Design for Physical AI3 Sep 2026
- 2026Environment Parameter Gradient Theorem for Co-Design in Reinforcement Learning14 Jul 2026
- 2026Shape Your Body: Value Gradients for Multi-Embodiment Robot Design30 May 2026
- 2025Embodied Co-Design for Rapidly Evolving Agents: Taxonomy, Frontiers, and Challenges4 Dec 2025
- 2025Digital Twin-based Control Co-Design of Full Vehicle Active Suspensions via Deep Reinforcement Learning3 Dec 2025
- 2025House of Dextra: Cross-embodied Co-design for Dexterous Hands3 Dec 2025
- 2025Scaling Multi-Agent Environment Co-Design with Diffusion Models5 Nov 2025
- 2025Digital Twin-enabled Multi-generation Control Co-Design with Deep Reinforcement Learning12 Oct 2025
- 2025A Design Co-Pilot for Task-Tailored Manipulators16 Sep 2025
- 2025Efficient Morphology-Aware Policy Transfer to New Embodiments5 Aug 2025
38 more
- 2025VLMgineer: Vision Language Models as Robotic Toolsmiths16 Jul 2025
- 2024Scaling Cross-Embodied Learning: One Policy for Manipulation, Navigation, Locomotion and Aviation21 Aug 2024
- 2024Text2Robot: Evolutionary Robot Design from Text Descriptions28 Jun 2024
- 2024Reinforcement Learning for Efficient Design and Control Co-optimisation of Energy Systems28 Jun 2024
- 2024Solving Vision Tasks with Simple Photoreceptors Instead of Cameras17 Jun 2024
- 2024CompetEvo: Towards Morphological Evolution from Competition28 May 2024
- 2024Task2Morph: Differentiable Task-inspired Framework for Contact-Aware Robot Design28 Mar 2024
- 2024Co-Optimizing Reconfigurable Environments and Policies for Decentralized Multi-Agent Navigation21 Mar 2024
- 2024Dynamics-Guided Diffusion Model for Sensor-less Robot Manipulator Design23 Feb 2024
- 2023Learning to Design and Use Tools for Robotic Manipulation1 Nov 2023
- 2023Leveraging Hyperbolic Embeddings for Coarse-to-Fine Robot Design1 Nov 2023
- 2023Reinforcement learning for freeform robot design9 Oct 2023
- 2023Searching for High-Value Molecules Using Reinforcement Learning and Transformers4 Oct 2023
- 2023MORPH: Design Co-optimization with Reinforcement Learning via a Differentiable Hardware Model Proxy29 Sep 2023
- 2023Lamarck's Revenge: Inheritance of Learned Traits Can Make Robot Evolution Better22 Sep 2023
- 2023ECoDe: A Sample-Efficient Method for Co-Design of Robotic Agents8 Sep 2023
- 2023Universal Morphology Control via Contextual Modulation22 Feb 2023
- 2022Selecting Mechanical Parameters of a Monopode Jumping System with Reinforcement Learning2 Dec 2022
- 2022C^2:Co-design of Robots via Concurrent Networks Coupling Online and Offline Reinforcement Learning14 Sep 2022
- 2022Co-Imitation: Learning Design and Behaviour by Imitation2 Sep 2022
- 2022From Universal Humanoid Control to Automatic Physically Valid Character Creation18 Jun 2022
- 2022Adversarial Body Shape Search for Legged Robots20 May 2022
- 2022Unified Simulation, Perception, and Generation of Human Behavior28 Apr 2022
- 2022Creative Problem Solving in Artificially Intelligent Agents: A Survey and Framework21 Apr 2022
- 2022MetaMorph: Learning Universal Controllers with Transformers22 Mar 2022
- 2022REvolveR: Continuous Evolutionary Models for Robot-to-robot Policy Transfer10 Feb 2022
- 2022Malleable Agents for Re-Configurable Robotic Manipulators4 Feb 2022
- 2022Evolution Gym: A Large-Scale Benchmark for Evolving Soft Robots24 Jan 2022
- 2022The Introspective Agent: Interdependence of Strategy, Physiology, and Sensing for Embodied Agents2 Jan 2022
- 2021The Effects of Learning in Morphologically Evolving Robot Systems18 Nov 2021
- 2021What Robot do I Need? Fast Co-Adaptation of Morphology and Control using Graph Neural Networks3 Nov 2021
- 2021Transform2Act: Learning a Transform-and-Control Policy for Efficient Agent Design7 Oct 2021
- 2021An End-to-End Differentiable Framework for Contact-Aware Robot Design15 Jul 2021
- 2021Learning Modular Robot Control Policies20 May 2021
- 2021Efficient Hyperparameter Optimization for Physics-based Character Animation26 Apr 2021
- 2021DiffAqua: A Differentiable Computational Design Pipeline for Soft Underwater Swimmers with Shape Interpolation2 Apr 2021
- 2021Bayesian Meta-Learning for Few-Shot Policy Adaptation Across Robotic Platforms5 Mar 2021
- 2021Task-Agnostic Morphology Evolution25 Feb 2021
50 newest of 51 All 51 (JSON)
- 2025VLMgineer: Vision Language Models as Robotic Toolsmithscited by 9
- 2025VLMgineer: Vision Language Models as Robotic Toolsmiths16 Jul 2025
- 2021Embodied Intelligence via Learning and Evolutioncited by 154
- 2024Scaling Cross-Embodied Learning: One Policy for Manipulation, Navigation, Locomotion and Aviationcited by 108
- 2022MetaMorph: Learning Universal Controllers with Transformerscited by 78
- 2021An End-to-End Differentiable Framework for Contact-Aware Robot Designcited by 53
- 2022Evolution Gym: A Large-Scale Benchmark for Evolving Soft Robotscited by 44
- 2021Transform2Act: Learning a Transform-and-Control Policy for Efficient Agent Designcited by 34
- 2021Task-Agnostic Morphology Evolutioncited by 22
- 2021Bayesian Meta-Learning for Few-Shot Policy Adaptation Across Robotic Platformscited by 22
- 2023Universal Morphology Control via Contextual Modulationcited by 21
- 2021Learning Modular Robot Control Policiescited by 18
- 2023Searching for High-Value Molecules Using Reinforcement Learning and Transformerscited by 18
- 2022REvolveR: Continuous Evolutionary Models for Robot-to-robot Policy Transfercited by 12
12 most cited of 47 All 47 (JSON)
- 2026Intelligence Across Embodiments22 Sep 2026
- 2026GLAMDRING: Gait Learning And Morphology co-Design via Reinforcement LearnING of CPGs16 Sep 2026
- 2026BRIDGE: An Open-Source Humanoid Platform via Morphology-Control Co-Design for Physical AI3 Sep 2026
- 2026Environment Parameter Gradient Theorem for Co-Design in Reinforcement Learning14 Jul 2026
- 2026Shape Your Body: Value Gradients for Multi-Embodiment Robot Design30 May 2026
- 2025Embodied Co-Design for Rapidly Evolving Agents: Taxonomy, Frontiers, and Challenges4 Dec 2025
- 2025Digital Twin-based Control Co-Design of Full Vehicle Active Suspensions via Deep Reinforcement Learning3 Dec 2025
- 2025House of Dextra: Cross-embodied Co-design for Dexterous Hands3 Dec 2025
- 2025Digital Twin-enabled Multi-generation Control Co-Design with Deep Reinforcement Learning12 Oct 2025
- 2025A Design Co-Pilot for Task-Tailored Manipulators16 Sep 2025
- 2025Efficient Morphology-Aware Policy Transfer to New Embodiments5 Aug 2025
- 2024Scaling Cross-Embodied Learning: One Policy for Manipulation, Navigation, Locomotion and Aviation21 Aug 2024
12 newest of 47 All 47 (JSON)