Bøger af Brayan Cox

Information geometry refers to an interdisciplinary field that studies probability theory and statistics by using methods of differential geometry. It is a general framework of dual affine connected with Riemannian manifolds. Information geometry involves the study of decision-making by using geometry which also includes modeling-fitting and pattern matching. It offers a novel approach that can be applied in many fields including physical and information sciences. Its primary goal is to research the geometrical structures that can be presented in the manifold connected with a set of probability distributions of a statistical model. Information geometry is also used to measure the degree of information integration among various terminals of a causal dynamical system. This book aims to shed light on the theory and applications of information geometry. It will also provide interesting topics for research, which interested readers can take up. This book is a resource guide for experts as well as students.

Information geometry refers to an interdisciplinary field that studies statistics and probability theory by applying the techniques of differential geometry. It investigates statistical manifolds, which are Riemannian manifolds, where each point is a probability distribution. Information geometry offers a differential-geometric structure on manifolds that help in designing and studying statistical decision rules. It has been utilized in a variety of applications such as machine learning, quantum systems, mathematical finance, statistical inference, and neural networks. The amount of information integration within various terminals of a causal dynamical system is measured using information geometry. The amount of information lost can be measured using integrated information when a system is divided into parts and information transmission between the parts is stopped. This book provides comprehensive insights into information geometry and its applications. It presents researches and studies performed by experts across the globe. The book aims to equip students and experts with the advanced topics and upcoming concepts in this area of study.