Explorations in the Mathematics of Data Science

The Inaugural Volume of the Center for Approximation and Mathematical Data Analytics

AvSimon Foucart,Stephan Wojtowytsch

Inbunden, Engelska, 2024

Del i serien Applied and Numerical Harmonic Analysis

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2024-09-13
Mått:155 x 235 x 22 mm
Vikt:617 g
Format:Inbunden
Språk:Engelska
Serie:Applied and Numerical Harmonic Analysis
Antal sidor:286
Upplaga:2024
Förlag:Birkhauser Verlag AG
ISBN:9783031664960

Utforska kategorier

Systemvetenskap och AI inom Data och IT
Människa – datorinteraktion inom Data och IT
Databaser inom Data och IT

Innehållsförteckning

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.