3 papers
cs.LG2026
Mathematics of Data Science
Afonso S. Bandeira, Amit Singer, Thomas Strohmer
This book is about the mathematical foundations of data science. 1. Introduction 2. Curses, Blessings, and Surprises in High Dimensions 3. Singular Value Decomposition and Principa…
math.CO2026
Expander graphs are globally synchronizing
Pedro Abdalla, Afonso S. Bandeira, Martin Kassabov +3
The Kuramoto model is fundamental to the study of synchronization. It consists of a collection of oscillators with interactions given by a network, which we identify respectively w…
cond-mat.dis-nn2024
Injectivity of ReLU networks: perspectives from statistical physics
Antoine Maillard, Afonso S. Bandeira, David Belius +2
When can the input of a ReLU neural network be inferred from its output? In other words, when is the network injective? We consider a single layer, , w…