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math.OC2024★ 2 cited
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…
math.OC2023
Optimal scenario for road evacuation in an urban environment
Mickael Bestard, Emmanuel Franck, Laurent Navoret +1
How to free a road from vehicle traffic as efficiently as possible and in a given time, in order to allow for example the passage of emergency vehicles? We are interested in this q…