Bernhard Schölkopf- From Statistical to Causal Learning
Explore the evolution of AI systems, from symbolic to statistical and causal approaches, examining key challenges in machine learning and the role of causality in advancing AI understanding and modeling.
Keith Ball- The Probabilistic Character of Convex Domains
Explore the probabilistic nature of convex domains with mathematician Keith Ball, delving into geometric concepts and their applications in probability theory.
What Is a Random Surface?
Explore the theory of random surfaces, from finite triangles to complex mathematical constructs. Discover connections to physics, probability, and geometry through accessible explanations and visual illustrations.
Stochastic Topology and Statistical Persistence
Explore stochastic topology and statistical persistence, delving into advanced mathematical concepts and their applications in data analysis and machine learning.
Peter Bubenik - Statistical Topological Data Analysis
Explore statistical methods for analyzing topological data, combining mathematical concepts with practical applications in data science and machine learning.
On Ulam's Problem 19 and Related Problems - IPAM at UCLA
Explore uniqueness problems related to Ulam's Problem 19 from the Scottish book, presented by Dima Ryabogin at IPAM's Calculus of Variations workshop.
On a Conjectural Symmetric Version of the Ehrhard Inequality
Explores a conjectural symmetric version of Ehrhard's inequality for Gaussian measures, discussing minimizers, equality cases, and connections to Brascamp-Leib inequality on convex sets.
Size of Line Intersections in High Dimensional L_p-Balls and Product Measures
Explore high-dimensional geometry with Bo'az Klartag as he discusses line intersections in L_p-balls and product measures, examining the isodiametric inequality and its implications.
Mixing Time and Cutoff for One Dimensional Particle Systems
Explores quantitative aspects of Markov chain convergence, focusing on mixing time and cutoff phenomenon in simple exclusion processes and random walks on the simplex.
Patricia Gonçalves- On Hydrodynamic Limits of Fractional PDEs From Stochastic Interacting
Explores hydrodynamic limits of fractional PDEs derived from stochastic interacting particle systems, focusing on recent advances in scaling limit procedures and boundary conditions.
Eigenvalue Problems and Error Control - IPAM at UCLA
Explore eigenvalue problems and error control in quantum mechanics, focusing on advanced mathematical and statistical techniques for solving complex computational challenges.
Variational Proofs of Isoperimetric Inequalities
Explore variational proofs of isoperimetric inequalities, their generalizations, and open problems in this advanced mathematics lecture by Steven Heilman at IPAM's workshop.
Eigenvalue Estimates for P-Laplace Problems & Domains in Fermi Coordinates
Explore explicit and sharp eigenvalue estimates for Neumann p-Laplace eigenvalues in domains represented in Fermi coordinates, presented by Barbara Brandolini at IPAM's Calculus of Variations workshop.
Exact Results for Metallic Quantum Critical Points - Hart Goldman
Exploring exact solutions for metallic quantum critical points, focusing on recent developments in topology, symmetry, and interactions in condensed matter physics.
Visualizing the Origin of Bulk Metallicity in the Topological Kondo Insulator SmB6 - Harris Pirie
Exploring the interplay of topology, symmetry, and interactions in SmB6, this talk visualizes bulk metallicity origins in topological Kondo insulators, advancing understanding of correlated topological phases.
Flat Bands in Kagome Lattice Metals - Linda Ye
Exploring flat bands in kagome lattice metals, focusing on the interplay between topology, symmetry, and interactions in condensed matter physics. Discusses recent advancements and their implications for understanding electronic properties.
Hammond and Sheffields Power Law Pólya's Urn
Explores power law Pólya's urn model, analyzing genealogical aspects, coalescence probabilities, and asymptotic behavior. Discusses random partitions, fractional Brownian motion, and metastable systems in probability theory.
Stochastic Ricci Flow on Surfaces
Explores stochastic Ricci flow in 2D, introducing its formulation, symmetry properties, and construction of weak solutions. Discusses implications for compact surfaces and open questions.
Uncertainty Quantification for Kinetic Equations II
Explore uncertainty quantification for kinetic equations, focusing on Monte Carlo methods, multi-fidelity approaches, and stochastic Galerkin particle techniques to address high-dimensional challenges.
Concentration Functions and Entropy Bounds for Discrete Log-Concave Distributions
Explore concentration functions and entropy bounds for discrete log-concave distributions, with applications to entropy power inequalities. Based on joint research in probability theory.
Stochastic Analysis and Geometric Functional Inequalities
Explore methods for proving functional inequalities in hypoelliptic diffusions, including geometric and probabilistic approaches, with applications to Langevin dynamics ergodicity.