Foucart / Wojtowytsch Explorations in the Mathematics of Data Science
1. Auflage 2024
ISBN: 978-3-031-66497-7
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
The Inaugural Volume of the Center for Approximation and Mathematical Data Analytics
E-Book, Englisch, 286 Seiten
Reihe: Applied and Numerical Harmonic Analysis
ISBN: 978-3-031-66497-7
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
This edited volume reports on the recent activities of the new Center for Approximation and Mathematical Data Analytics (CAMDA) at Texas A&M University. Chapters are based on talks from CAMDA’s inaugural conference – held in May 2023 – and its seminar series, as well as work performed by members of the Center. They showcase the interdisciplinary nature of data science, emphasizing its mathematical and theoretical foundations, especially those rooted in approximation theory.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Preface.- S-Procedure Relaxation: a Case of Exactness Involving Chebyshev Centers.- Neural networks: deep, shallow, or in between?.- Qualitative neural network approximation over R and C.- Linearly Embedding Sparse Vectors from l2 to l1 via Deterministic Dimension-Reducing Maps.- Ridge Function Machines.- Learning Collective Behaviors from Observation.- Provably Accelerating Ill-Conditioned Low-Rank Estimation via Scaled Gradient Descent, Even with Overparameterization.- CLAIRE: Scalable GPU-Accelerated Algorithms for Diffeomorphic Image Registration in 3D.- A genomic tree based sparse solver.- A qualitative difference between gradient flows of convex functions in finite- and infinite-dimensional Hilbert spaces.
