3 papers
math.FA2025
Optimal Algorithms for Nonlinear Estimation with Convex Models
Simon Foucart
A linear functional of an object from a convex symmetric set can be optimally estimated, in a worst-case sense, by a linear functional of observations made on the object. This well…
math.GM2025
Learning the Maximum of a Hölder Function from Inexact Data
Simon Foucart
Within the theoretical framework of Optimal Recovery, one determines in this article the {\em best} procedures to learn a quantity of interest depending on a Hölder function acqui…
math.OC2024
Optimal Prediction of Multivalued Functions from Point Samples
Simon Foucart
Predicting the value of a function at a new point given its values at old points is an ubiquitous scientific endeavor, somewhat less developed when produces multiple values…