Titlebook: Explorations in the Mathematics of Data Science; The Inaugural Volume Simon Foucart,Stephan Wojtowytsch Book 2024 The Editor(s) (if applica

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S-procedure Relaxation: A Case of Exactness Involving Chebyshev Centers,particular instance where the quadratic constraints involve orthogonal projectors. Our argument exploits a previous work of ours, where exact Chebyshev centers were obtained in a different way. We conclude by stating some open questions and by commenting on other recent results in optimal recovery.

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CLAIRE: Scalable GPU-Accelerated Algorithms for Diffeomorphic Image Registration in 3D,llelism and deploy our code on modern high-performance computing architectures. Our solver allows us to solve clinically relevant problems in under four seconds on a single GPU. It can also be applied to large-scale 3D imaging applications with data that is discretized on meshes with billions of vox

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S-procedure Relaxation: A Case of Exactness Involving Chebyshev Centers,ions on the functions to be learned. Working in a finite-dimensional Hilbert space, we consider model assumptions based on approximability and observation inaccuracies modeled as additive errors bounded in .. We focus on the local recovery problem, which amounts to the determination of Chebyshev cen

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