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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…
math.OC2023
S-Procedure Relaxation: a Case of Exactness Involving Chebyshev Centers
Simon Foucart, Chunyang Liao
Optimal recovery is a mathematical framework for learning functions from observational data by adopting a worst-case perspective tied to model assumptions on the functions to be le…
math.OC2021
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, but what of the Parameter?
Simon Foucart, Chunyang Liao
In Optimal Recovery, the task of learning a function from observational data is tackled deterministically by adopting a worst-case perspective tied to an explicit model assumption…