03728nam a22006135i 4500 978-3-031-66497-7 DE-He213 20251030113040.0 cr nn 008mamaa 240913s2024 sz | s |||| 0|eng d 9783031664977 978-3-031-66497-7 10.1007/978-3-031-66497-7 doi QA221-224 PBKJ bicssc MAT034000 bisacsh PBKJ thema Explorations in the Mathematics of Data Science [electronic resource] : The Inaugural Volume of the Center for Approximation and Mathematical Data Analytics / edited by Simon Foucart, Stephan Wojtowytsch. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. XIV, 286 p. 24 illus., 20 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Applied and Numerical Harmonic Analysis, 2296-5017 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. 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. Approximation theory. 74825 Computer science Mathematics. 64041 Information visualization. 64751 Quantitative research. Data structures (Computer science). 66708 Information theory. 57783 Approximations and Expansions. 74827 Mathematical Applications in Computer Science. 65518 Data and Information Visualization. 66435 Data Analysis and Big Data. Data Structures and Information Theory. 66709 Foucart, Simon. editor. edt http://id.loc.gov/vocabulary/relators/edt 84209 Wojtowytsch, Stephan. editor. edt http://id.loc.gov/vocabulary/relators/edt 84210 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031664960 Printed edition: 9783031664984 Printed edition: 9783031664991 Applied and Numerical Harmonic Analysis, 2296-5017 84211 https://doi.org/10.1007/978-3-031-66497-7 ZDB-2-SMA ZDB-2-SXMS 63344 63344