The focus of this book is on providing students with insights into geometry that can help them understand deep learning from a unified perspective. Rather than

Can artificial intelligence learn mathematics? The question is at the heart of this original monograph bringing together theoretical physics, modern geometry, a

This is the first comprehensive book on information geometry, written by the founder of the field. It begins with an elementary introduction to dualistic geomet

This book describes how neural networks operate from the mathematical point of view. As a result, neural networks can be interpreted both as function universal

This volume develops an effective theory approach to understanding deep neural networks of practical relevance.