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Physical Design using Differentiable Learned Simulators

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arxiv 2202.00728 v1 pith:KT4UYVVG submitted 2022-02-01 cs.LG

classification cs.LG
keywords designoptimizationphysicalsimulatorsairfoilapproachdesigningdesigns
verification ladder T0 review T1 audit T2 compute T3 formal
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Designing physical artifacts that serve a purpose - such as tools and other functional structures - is central to engineering as well as everyday human behavior. Though automating design has tremendous promise, general-purpose methods do not yet exist. Here we explore a simple, fast, and robust approach to inverse design which combines learned forward simulators based on graph neural networks with gradient-based design optimization. Our approach solves high-dimensional problems with complex physical dynamics, including designing surfaces and tools to manipulate fluid flows and optimizing the shape of an airfoil to minimize drag. This framework produces high-quality designs by propagating gradients through trajectories of hundreds of steps, even when using models that were pre-trained for single-step predictions on data substantially different from the design tasks. In our fluid manipulation tasks, the resulting designs outperformed those found by sampling-based optimization techniques. In airfoil design, they matched the quality of those obtained with a specialized solver. Our results suggest that despite some remaining challenges, machine learning-based simulators are maturing to the point where they can support general-purpose design optimization across a variety of domains.

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Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Transformer Transformer: A Unified Model for Motion-Conditioned Robot Co-design

    cs.RO 2026-07 conditional novelty 7.0 of 10

    A single diffusion transformer trains on tokenized robot bodies and motions to generate and optimize robot designs for unseen rewards and trajectories, outpacing evolutionary search in speed and often in reward.

  2. Hybrid Physics-Machine Learning Models for Quantitative Electron Diffraction Refinements

    physics.comp-ph 2025-08 unverdicted novelty 6.0 of 10

    A differentiable physics-machine-learning hybrid jointly fits structural parameters and neural-network corrections for experimental effects in 3D electron diffraction refinement.

  3. VLMgineer: Vision Language Models as Robotic Toolsmiths

    cs.RO 2025-07 conditional novelty 6.0 of 10

    VLMgineer combines VLM-generated URDF tool designs with evolutionary search to co-design tools and action plans, outperforming human-specified and existing tools on a new simulated manipulation benchmark.

  4. RobotSmith: Generative Robotic Tool Design for Acquisition of Complex Manipulation Skills

    cs.RO 2025-06 conditional novelty 6.0 of 10

    RobotSmith autonomously designs, 3D-prints, and uses task-specific tools for robotic manipulation, raising task success from 2.8% (no tool) to 50% in simulation.

  5. Dynamical Data for More Efficient and Generalizable Learning: A Case Study in Disordered Elastic Networks

    physics.chem-ph 2025-05 conditional novelty 6.0 of 10

    A graph neural network trained only on compression trajectories of disordered elastic networks infers Poisson's ratio and generalizes to networks with Poisson's ratios outside the training range.

  6. Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators

    cs.LG 2025-06 conditional novelty 5.0 of 10

    Reference neural operators with a Virtual-Fourier layer learn solution derivatives and a hybrid solver feedback loop accelerates PDE-constrained optimization.

  7. Inverse Design with Dynamic Mode Decomposition

    cs.LG 2025-02 conditional novelty 4.0 of 10

    Fitting a low-rank, linear-in-parameter DMD model by least squares gives a fast surrogate for inverse design and optimization of dynamical systems.

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