An Introduction to Determinantal Point Processes - John C Urschel
Explore determinantal point processes: definition, examples, and applications in random matrix theory, combinatorics, and machine learning. Survey key results and open questions.
Determinantal Point Processes - V
Explore determinantal point processes, covering conditional measures, sign processes, gamma kernels, Palm measures, and infinite determinantal measures in this advanced mathematics lecture.
Determinantal Point Processes - II
Exploration of determinantal point processes, covering theorems, Young graphs, Markov chains, and related mathematical concepts with applications in random matrix theory.
Determinantal Point Processes - Lecture 3
Explore advanced concepts in determinantal point processes, focusing on mathematical theory and applications in random matrix theory and point processes.
Determinantal Point Processes - Lecture 1
Explore determinantal point processes with Alexander Bufetov, delving into mathematical concepts and applications in random matrix theory.
Determinantal Point Processes and Their Quasi-Symmetries - Alexander Bufetov
Explore determinantal point processes and their quasi-symmetries with Alexander Bufetov, delving into advanced mathematical concepts and their applications in probability theory.
Limit Shapes for Random Young Tableaux via Determinantal Point Processes
Explore limit shapes for random Young tableaux using determinantal point processes. Discover new insights on limiting surfaces for multirectangular shapes, including potential discontinuities.
The Symplectic Schur Process - Integrability and Algebraic Combinatorics
Explore the Symplectic Schur Process, a new probability ensemble with desirable properties. Discover its connections to symmetric functions, combinatorial identities, and applications in algebraic combinatorics.
Zeros of Random Power Series with Stationary Gaussian Coefficients
Explore zeros of random power series with stationary Gaussian coefficients, comparing to i.i.d. case and analyzing expected zero count in disks as radius approaches convergence.
Fermionic Gaussian Free Field and Connections to Random Lattice Models
Explore determinantal and permanental point processes, fermionic and bosonic variables, and their connections to physics. Discover the fermionic Gaussian free field and its relation to random lattice models.
A Statistical Physics Approach to the Sine Beta Process and Other Random Point Processes
Explore statistical physics approaches to Sine Beta processes and random point systems, focusing on universality properties and applications of DLR tools.
Parallel Discrete Sampling via Continuous Walks
Explore innovative techniques for sampling discrete distributions using continuous walks, with applications in determinantal point processes and directed Eulerian tours.
Isotropy and Log-Concave Polynomials
Explore isotropy and log-concave polynomials in accelerated sampling and high-precision counting of matroid bases, covering techniques like negative dependence and instant mixing.
On Inference and Learning With Probabilistic Generating Circuits
Explore efficient inference algorithms for Probabilistic Generating Circuits, addressing computational challenges and discussing implications for learning from data in probabilistic modeling.