4 papers
Learning from samples: inverse problems over measures
Francisco Andrade, Gabriel Peyré, Clarice Poon
We study inverse problems where an unknown potential is observed only through samples from the measure it induces by a convex variational principle. Such problems arise in learning…
Sample complexity of unbalanced entropic OT
Francisco Andrade, Gabriel Peyré, Clarice Poon
Optimal transport (OT) has become a central language for comparing probability measures, but exact balanced OT is often both too rigid for data with missing, created, or destroyed…
Adaptive Dimension Reduction for Overlapping Group Sparsity
Yifan Bai, Clarice Poon, Jingwei Liang
Typical dimension reduction techniques for nonoverlapping sparse optimization involve screening or sieving strategies based on a dual certificate derived from the first-order optim…
On the non-convexity issue in the radial Calderón problem
Giovanni S. Alberti, Romain Petit, Clarice Poon +1
A classical approach to the Calderón problem is to estimate the unknown conductivity by solving a nonlinear least-squares problem. It leads to a nonconvex optimization problem whi…