Explorations in the Mathematics of Data Science

Explorations in the Mathematics of Data Science

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

Foucart, Simon; Wojtowytsch, Stephan

Birkhauser Verlag AG

09/2024

286

Dura

9783031664960

15 a 20 dias

Descrição não disponível.
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.
Approximation Theory;Learning Theory;Compressive Sensing;Neural Networks;Center for Approximation and Mathematical Data Analytics