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A Differentiable Augmented Lagrangian Method for Bilevel Nonlinear Optimization

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abstract

Many problems in modern robotics can be addressed by modeling them as bilevel optimization problems. In this work, we leverage augmented Lagrangian methods and recent advances in automatic differentiation to develop a general-purpose nonlinear optimization solver that is well suited to bilevel optimization. We then demonstrate the validity and scalability of our algorithm with two representative robotic problems, namely robust control and parameter estimation for a system involving contact. We stress the general nature of the algorithm and its potential relevance to many other problems in robotics.

fields

cs.RO 1

years

2024 1

verdicts

CONDITIONAL 1

representative citing papers

Differentiable GPU-Parallelized Task and Motion Planning

cs.RO · 2024-11-18 · conditional · novelty 7.0

cuTAMP combines GPU-parallelized sampling and differentiable optimization to solve long-horizon task and motion planning problems on constrained manipulation tasks, outperforming serial baselines.

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  • Differentiable GPU-Parallelized Task and Motion Planning cs.RO · 2024-11-18 · conditional · none · ref 42 · internal anchor

    cuTAMP combines GPU-parallelized sampling and differentiable optimization to solve long-horizon task and motion planning problems on constrained manipulation tasks, outperforming serial baselines.