An Introduction to Determinantal Point Processes - John C Urschel

Dive into the world of Determinantal Point Processes (DPPs) in this comprehensive two-hour seminar presented by John C Urschel at the Institute for Advanced Study. Explore the fundamental concepts, definitions, and applications of DPPs across various fields, including random matrix theory, combinatorics, and machine learning. Gain insights into positive probability, ensembles, and projection matrices while examining well-known examples and key results. Investigate the properties of DPPs, such as self-adjointness, symmetry, and loop-free characteristics. Analyze the probabilistic aspects and entry-level concepts of this fascinating topic in computer science and discrete mathematics.

Introduction
Definition
Positive Probability
Ensembles
How does it work
Projection matrix
Single determinant
Examples
Selfadjoint
Is it symmetric
Loop free
Probability
Entry