Scalable Co-Optimization of Morphology and Control in Embodied Machines
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Abstract (arXiv)
Evolution sculpts both the body plans and nervous systems of agents together over time. In contrast, in AI and robotics, a robot's body plan is usually designed by hand, and control policies are then optimized for that fixed design. The task of simultaneously co-optimizing the morphology and controller of an embodied robot has remained a challenge. In psychology, the theory of embodied cognition posits that behavior arises from a close coupling between body plan and sensorimotor control, which suggests why co-optimizing these two subsystems is so difficult: most evolutionary changes to morphology tend to adversely impact sensorimotor control, leading to an overall decrease in behavioral performance. Here, we further examine this hypothesis and demonstrate a technique for "morphological innovation protection", which temporarily reduces selection pressure on recently morphologically-changed individuals, thus enabling evolution some time to "readapt" to the new morphology with subsequent control policy mutations. We show the potential for this method to avoid local optima and converge to similar highly fit morphologies across widely varying initial conditions, while sustaining fitness improvements further into optimization. While this technique is admittedly only the first of many steps that must be taken to achieve scalable optimization of embodied machines, we hope that theoretical insight into the cause of evolutionary stagnation in current methods will help to enable the automation of robot design and behavioral training -- while simultaneously providing a testbed to investigate the theory of embodied cognition.
Key facts. Cited by 38 papers in the map (data through 7 Oct 2026). First posted on arXiv 19 Jun 2017.
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Citing papers per year: 2021: 7; 2022: 4; 2023: 7; 2024: 7; 2025: 5; 2026: 8.
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- 2021Embodied Intelligence via Learning and Evolutioncited by 154
- 2022MetaMorph: Learning Universal Controllers with Transformerscited by 78
- 2021Transform2Act: Learning a Transform-and-Control Policy for Efficient Agent Designcited by 34
- 2021Task-Agnostic Morphology Evolutioncited by 22
- 2021Learning Modular Robot Control Policiescited by 18
- 2023Symmetry-Aware Robot Design with Structured Subgroupscited by 13
- 2021Beyond Robustness: A Taxonomy of Approaches towards Resilient Multi-Robot Systemscited by 12
- 2021The Effects of Learning in Morphologically Evolving Robot Systemscited by 10
- 2025VLMgineer: Vision Language Models as Robotic Toolsmithscited by 9
- 2023MORPH: Design Co-optimization with Reinforcement Learning via a Differentiable Hardware Model Proxycited by 8
- 2021Morpho-evolution with learning using a controller archive as an inheritance mechanismcited by 7
- 2023Reinforcement learning for freeform robot designcited by 7
26 more
- 2022Environment Optimization for Multi-Agent Navigationcited by 6
- 2023Constrained Environment Optimization for Prioritized Multi-Agent Navigationcited by 6
- 2023Curriculum Reinforcement Learning via Morphology-Environment Co-Evolutioncited by 5
- 2022Severe Damage Recovery in Evolving Soft Robots through Differentiable Programmingcited 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
- 2025Embodied Co-Design for Rapidly Evolving Agents: Taxonomy, Frontiers, and Challengescited by 4
- 2022Biological Robots: Perspectives on an Emerging Interdisciplinary Fieldcited by 3
- 2024Evolution and learning in differentiable robotscited by 3
- 2025Controller Distillation Reduces Fragile Brain-Body Co-Adaptation and Enables Migrations in MAP-Elitescited by 3
- 2024Lamarckian Inheritance Improves Robot Evolution in Dynamic Environmentscited by 2
- 2024Towards Multi-Morphology Controllers with Diversity and Knowledge Distillationcited by 2
- 2026Efficient Morphology-Control Co-Design via Stackelberg Proximal Policy Optimizationcited by 2
- 2023Lamarck's Revenge: Inheritance of Learned Traits Can Make Robot Evolution Bettercited by 1
- 2024No-brainer: Morphological Computation driven Adaptive Behavior in Soft Robotscited by 1
- 2024Fairness in Reinforcement Learning with Bisimulation Metricscited by 1
- 2025Scaling Multi-Agent Environment Co-Design with Diffusion Modelscited by 1
- 2026Social Learning Strategies for Evolved Virtual Soft Robotscited by 1
- 2024An Empirical Study on the Computation Budget of Co-Optimization of Robot Design and Control in Simulationcited by 0
- 2025Debate2Create: Robot Co-design via Multi-Agent LLM Debatecited by 0
- 2026Physical Imitation Learning: Distilling Control Policies into Passive Elasticitycited by 0
- 2026Lamarckian Inheritance in Dynamic Environments: How Key Variables Affect Evolutionary Dynamicscited by 0
- 2026When Search Becomes Memory: Accelerating Robot Design Discovery with Self-Evolving Skillscited by 0
- 2026Seven Sources of Physical AI Capability Formationcited by 0
- 2026Bridging Body and Brain: Gene-Driven Morphology--Control Co-Designcited by 0
- 2026Evolving Dexterous Robots from Scratchcited by 0
- 2026Evolving Dexterous Robots from Scratch27 Sep 2026
- 2026Bridging Body and Brain: Gene-Driven Morphology--Control Co-Design25 Sep 2026
- 2026Seven Sources of Physical AI Capability Formation9 Sep 2026
- 2026When Search Becomes Memory: Accelerating Robot Design Discovery with Self-Evolving Skills25 May 2026
- 2026Lamarckian Inheritance in Dynamic Environments: How Key Variables Affect Evolutionary Dynamics15 May 2026
- 2026Social Learning Strategies for Evolved Virtual Soft Robots14 Apr 2026
- 2026Physical Imitation Learning: Distilling Control Policies into Passive Elasticity1 Apr 2026
- 2026Efficient Morphology-Control Co-Design via Stackelberg Proximal Policy Optimization16 Mar 2026
- 2025Embodied Co-Design for Rapidly Evolving Agents: Taxonomy, Frontiers, and Challenges4 Dec 2025
- 2025Scaling Multi-Agent Environment Co-Design with Diffusion Models5 Nov 2025
- 2025Debate2Create: Robot Co-design via Multi-Agent LLM Debate29 Oct 2025
- 2025VLMgineer: Vision Language Models as Robotic Toolsmiths16 Jul 2025
26 more
- 2025Controller Distillation Reduces Fragile Brain-Body Co-Adaptation and Enables Migrations in MAP-Elites9 Apr 2025
- 2024Fairness in Reinforcement Learning with Bisimulation Metrics22 Dec 2024
- 2024An Empirical Study on the Computation Budget of Co-Optimization of Robot Design and Control in Simulation13 Sep 2024
- 2024No-brainer: Morphological Computation driven Adaptive Behavior in Soft Robots23 Jul 2024
- 2024Evolution and learning in differentiable robots23 May 2024
- 2024Towards Multi-Morphology Controllers with Diversity and Knowledge Distillation22 Apr 2024
- 2024Lamarckian Inheritance Improves Robot Evolution in Dynamic Environments28 Mar 2024
- 2024Co-Optimizing Reconfigurable Environments and Policies for Decentralized Multi-Agent Navigation21 Mar 2024
- 2023Leveraging Hyperbolic Embeddings for Coarse-to-Fine Robot Design1 Nov 2023
- 2023Reinforcement learning for freeform robot design9 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
- 2023Curriculum Reinforcement Learning via Morphology-Environment Co-Evolution21 Sep 2023
- 2023Symmetry-Aware Robot Design with Structured Subgroups31 May 2023
- 2023Constrained Environment Optimization for Prioritized Multi-Agent Navigation18 May 2023
- 2022Environment Optimization for Multi-Agent Navigation22 Sep 2022
- 2022Biological Robots: Perspectives on an Emerging Interdisciplinary Field2 Jul 2022
- 2022Severe Damage Recovery in Evolving Soft Robots through Differentiable Programming14 Jun 2022
- 2022MetaMorph: Learning Universal Controllers with Transformers22 Mar 2022
- 2021The Effects of Learning in Morphologically Evolving Robot Systems18 Nov 2021
- 2021Transform2Act: Learning a Transform-and-Control Policy for Efficient Agent Design7 Oct 2021
- 2021Beyond Robustness: A Taxonomy of Approaches towards Resilient Multi-Robot Systems25 Sep 2021
- 2021Learning Modular Robot Control Policies20 May 2021
- 2021Morpho-evolution with learning using a controller archive as an inheritance mechanism9 Apr 2021
- 2021Task-Agnostic Morphology Evolution25 Feb 2021
- 2021Embodied Intelligence via Learning and Evolution3 Feb 2021
- 2025Debate2Create: Robot Co-design via Multi-Agent LLM Debate29 Oct 2025
- 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
- 2022MetaMorph: Learning Universal Controllers with Transformerscited by 78
- 2021Transform2Act: Learning a Transform-and-Control Policy for Efficient Agent Designcited by 34
- 2021Task-Agnostic Morphology Evolutioncited by 22
- 2021Learning Modular Robot Control Policiescited by 18
- 2023Symmetry-Aware Robot Design with Structured Subgroupscited by 13
- 2021Beyond Robustness: A Taxonomy of Approaches towards Resilient Multi-Robot Systemscited by 12
- 2021The Effects of Learning in Morphologically Evolving Robot Systemscited by 10
- 2023MORPH: Design Co-optimization with Reinforcement Learning via a Differentiable Hardware Model Proxycited by 8
- 2021Morpho-evolution with learning using a controller archive as an inheritance mechanismcited by 7
- 2023Reinforcement learning for freeform robot designcited by 7
- 2022Environment Optimization for Multi-Agent Navigationcited by 6
12 most cited of 33 All 33 (JSON)
- 2026Evolving Dexterous Robots from Scratch27 Sep 2026
- 2026Bridging Body and Brain: Gene-Driven Morphology--Control Co-Design25 Sep 2026
- 2026Seven Sources of Physical AI Capability Formation9 Sep 2026
- 2026Lamarckian Inheritance in Dynamic Environments: How Key Variables Affect Evolutionary Dynamics15 May 2026
- 2026Social Learning Strategies for Evolved Virtual Soft Robots14 Apr 2026
- 2026Efficient Morphology-Control Co-Design via Stackelberg Proximal Policy Optimization16 Mar 2026
- 2025Embodied Co-Design for Rapidly Evolving Agents: Taxonomy, Frontiers, and Challenges4 Dec 2025
- 2025Controller Distillation Reduces Fragile Brain-Body Co-Adaptation and Enables Migrations in MAP-Elites9 Apr 2025
- 2024Fairness in Reinforcement Learning with Bisimulation Metrics22 Dec 2024
- 2024An Empirical Study on the Computation Budget of Co-Optimization of Robot Design and Control in Simulation13 Sep 2024
- 2024No-brainer: Morphological Computation driven Adaptive Behavior in Soft Robots23 Jul 2024
- 2024Evolution and learning in differentiable robots23 May 2024
12 newest of 33 All 33 (JSON)