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math.OC2025
Hearing the Shape of a Cuboid Room Using Sparse Measure Recovery
Antoine Deleforge, Cédric Foy, Yannick Privat +1
This article explores a variant of Kac's famous problem, "Can one hear the shape of a drum?", by addressing a geometric inverse problem in acoustics. Our objective is to reconstruc…
math.OC2024
Volume-preserving geometric shape optimization of the Dirichlet energy using variational neural networks
Amaury Bélières--Frendo, Emmanuel Franck, Victor Michel-Dansac +1
In this work, we explore the numerical solution of geometric shape optimization problems using neural network-based approaches. This involves minimizing a numerical criterion that…