Gradient Flows for Sampling and Their Deterministic Interacting Particle Systems
Explore gradient flows for sampling and deterministic interacting particle systems in this mathematical conference talk by Dejan Slepčev.
Interacting Particle Systems on Sparse W-Random Graphs
Explore interacting particle systems on sparse W-random graphs in this workshop. Gain insights from leading experts through plenary talks, contributed presentations, and collaborative sessions on randomness and network learning.
Interface and Its Fluctuation in Interacting Particle Systems - ICBS 2024
Explore particle separation in Glauber-Kawasaki dynamics, interface evolution, and fluctuations. Delve into extended research on anisotropic curvature flow and stochastic partial differential equations.
Studies Around Hydrodynamic Limits in Interacting Particle Systems - Lecture 3
Explore hydrodynamic limits in interacting particle systems with advanced mathematical concepts and techniques. Gain insights into complex systems behavior at the doctorate level.
Studies Around Hydrodynamic Limits in Interacting Particle Systems - Lecture 2
Explore hydrodynamic limits in interacting particle systems through advanced mathematical concepts. Gain insights into complex systems behavior and statistical mechanics.
Mean Field Limit by Gamma Convergence
Explores mean-field limit for λ-convex potentials using variational methods, focusing on gradient flows and Γ-convergence in interacting particle systems.
Compact Formula for Symmetric Macdonald Polynomials via ASEP and TAZRP
Explore connections between particle models and Macdonald polynomials, unveiling a new compact tableau formula with applications in probability and integrable systems.
Fredrickson-Andersen 2-Spin Facilitated Model - Sharp Threshold
Explore sharp threshold results for the Fredrickson-Andersen 2-spin facilitated model, examining relaxation mechanisms and proof techniques for interacting particle systems with kinetic constraints.
Exact Results in Non-Equilibrium Statistical Mechanics - Part II
Explore advanced concepts in non-equilibrium statistical mechanics, including Work Identities, Fluctuation Theorem, and Macroscopic Fluctuation Theory. Learn how integrability techniques yield exact solutions.
Mean Field Limits of Heterogeneous Networks - Informal Systems Seminar
Explore mean field limits of heterogeneous networks, focusing on interacting particle systems coupled on digraphs and their macroscopic behavior. Gain insights into Vlasov equations and digraph measures.
Interacting Particle Systems with Mobility and Demographic Dynamics as Biological Models
Explore complex biological models using interacting particle systems, incorporating mobility and demographic dynamics for advanced scientific understanding.
Transition Probabilities and Diffusion Coefficient in Interacting Particle Systems
Explore transition probabilities and diffusion coefficients in interacting particle systems, delving into complex physics concepts and their applications.
Interacting Particle Systems for Expectation Maximization in Latent Variable Models
Explore a novel interacting particle system for EM optimization in latent variable models, featuring Langevin diffusion analysis and non-asymptotic concentration bounds for maximum likelihood estimation.
Some Problems Regarding Bayesian Networks
Exploration of challenges in Bayesian networks, discussing structural properties, dynamics, and applications in probability theory and network science.
A Renormalisation Group Perspective on Functional Inequalities - ICBS 2024
Explore multiscale analysis for decomposing high-dimensional measures, deriving functional inequalities using renormalization group methods in statistical physics.
DeepParticle: Learning Invariant Measure by Deep Neural Network Minimizing Wasserstein Distance
Explore DeepParticle: an integrated approach combining deep learning, optimal transport, and interacting particles to solve high-dimensional PDEs, demonstrated through Fisher-Kolmogorov-Petrovsky-Piskunov front speeds in incompressible flows.