We compare alternative definitions of undirected graphical models for discrete, finite variables. Lauritzen (1996) provides several definitions of such models and describes their relationships. He ...

(a) Disease progression can be classified into three states: the normal stage, pre-disease stage and disease stage, with the pre-disease stage representing a critical threshold just before the onset ...

Abstract: The undirected graphical model, a popular class of statistical model, offers a way to describe and explain the relationships among a set of variables. However, it remains a challenge to ...

Generative artificial intelligence powered features such as chatting about what is in pictures, telling children bedtime stories, and imitating podcasters continue to ...

This book offers a comprehensive framework for mastering the complexities of learning high-dimensional sparse graphical models through the use of conditional independence tests. These tests are ...

Federated Learning (FL) addresses the need to create models based on proprietary data in such a way that multiple clients retain exclusive control over their data, while all benefit from improved ...

Abstract: The graphical models of reflection and transmission electromagnetic wave in thin slab of dielectric is presented in this report. The mathematical apparatus is theory of microwave circuits, ...