3 papers
math.OC2026
Curvature of optimal transport with respect to the cost and applications to inverse optimal transport
Gabriel Peyré, Clarice Poon, Oscar Tron
We study the inverse optimal transport problem of recovering the ground cost from an optimal transport plan. In discrete settings, this problem reduces to inverse linear programmin…
math.OC2026
On the global convergence of gradient flow for wide shallow models beyond homogeneous nonlinearities
Romain Petit, Clarice Poon, Gabriel Peyré +1
A surprising phenomenon in the training of neural networks is the ability of gradient descent to find global minimizers of the training loss despite its non-convexity. Following ea…
math.NA2026
Hadamard Langevin dynamics for sampling the l1-prior
Ivan Cheltsov, Federico Cornalba, Clarice Poon +1
Priors with non-smooth log-densities, such as the l1-prior, are widely used in Bayesian inverse problems for their sparsity-inducing properties. Existing Langevin-based sampling me…