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Differentiable Material Point Method for the Control of Deformable Objects

2025-12-15 · Diego Bolliger, Gabriele Fadini, Markus Bambach, Alisa Rupenyan arxiv

Controlling the deformation of flexible objects is challenging due to their non-linear dynamics and high-dimensional configuration space. This work presents a differentiable Material Point Method (MPM) simulator targeted at control applications. We exploit the differentiability of the simulator to optimize a control trajectory in an active damping problem for a hyperelastic rope. The simulator effectively minimizes the kinetic energy of the rope around 2$\times$ faster than a baseline MPPI method and to a 20% lower energy level, while using about 3% of the computation time.

📄 PDF Abstract BibTeX arXiv:2512.13214

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