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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…
math.OC2024
Radius of Information for Two Intersected Centered Hyperellipsoids and Implications in Optimal Recovery from Inaccurate Data
Simon Foucart, Chunyang Liao
For objects belonging to a known model set and observed through a prescribed linear process, we aim at determining methods to recover linear quantities of these objects that are op…