Uncertainty Quantification and Deep Learning for Water-Hazard Prediction
Explore uncertainty quantification and deep learning techniques for predicting water hazards, focusing on storm surge impacts and urban infrastructure damage assessment.
Observational Causal Inference for Improving and Auditing ML in Healthcare
Explore observational causal inference techniques to enhance and audit machine learning models in healthcare, focusing on distribution shifts, safe policy learning, and robust off-policy evaluation.
Visual Optimization Solver - Graphical Solution and LLM-Generated Reports
Explore a graphical solver for mathematical optimization, visualizing function minimization with equality constraints and generating LLM-based reports for enhanced understanding.
PDEs for Neural Assemblies - Analysis, Simulations, and Behavior
Explore PDEs for neural assemblies, analyzing their behavior through simulations and mathematical techniques with Professor Benoît Perthame from Sorbonne University.
Hypoelliptic Laplacian and the Trace Formula
Explore geometric formulas for semisimple orbital integrals, connecting heat equation methods to Selberg's trace formula through Laplacian deformations and Fokker-Planck operators.
The Hypoelliptic Laplacian in Real and Complex Geometry
Explores the hypoelliptic Laplacian's construction and applications in real and complex geometry, focusing on de Rham and Dolbeault theories and its role as a geometric Fokker-Planck operator.
From Mosquitoes to ChatGPT - The Birth and Strange Life of the Random Walk
Explore the fascinating history and diverse applications of random walks, from mosquito control to AI, and their impact on modern technology and scientific understanding.
Szemerédi Regularity Lemma in Graph Machine Learning
Exploring the Szemerédi regularity lemma's application in graph machine learning, focusing on its theoretical foundations and practical implications for AI-driven graph analysis.
Autoformalization - Ten Years into the Game
Explore past, present, and future approaches to autoformalization in mathematics, examining key developments and potential future directions in this evolving field.
Graphs of Random Matrices in Deep Learning
Explore the intersection of random matrix theory and deep learning, focusing on graph structures and their implications for neural network performance and analysis.
A Dynamical Systems Perspective on Measure Transport and Generative Modeling
Explore measure transport and generative modeling through a dynamical systems lens, gaining insights into advanced machine learning concepts and their applications.
Dispatches from the Ends of the Stability Manifold - Lecture 4
Explore advanced concepts in algebraic geometry, including stability conditions, noncommutative minimal model programs, and multi-scale decompositions. Delve into cutting-edge research on augmented stability conditions.
Dispatches from the Ends of the Stability Manifold - Lecture 3
Explore advanced concepts in algebraic geometry, including stability conditions, multi-scale decompositions, and the noncommutative minimal model program. Gain insights into cutting-edge research.
Empty Real Plane Sextic Curves
Explore K3-surfaces, complex sextic curves, and real plane sextics through arithmetic and homological types. Gain insights into equivariant equisingular deformation classification.
Singularities of the Quantum Connection on a Fano Variety
Explore singularities of quantum connections on Fano varieties, focusing on Dubrovin/Gamma conjectures and unramified exponential type properties through noncommutative Landau-Ginzburg models.
Lagrangian, Eulerian and Kantorovich Formulations of Multi-Agent Optimal Control
Explore Lagrangian, Eulerian, and Kantorovich formulations of multi-agent optimal control in this mathematical conference talk by Giuseppe Savaré.
Variational Methods in Image Processing and Advanced Materials Analysis - Kirk Lecture
Explore variational methods in image processing and advanced materials analysis, focusing on density measures, image denoising, and quantum dot formation in semiconductors.
The Miracle of Tomography - Rothschild Lecture
Explore the diverse applications and mathematical techniques of tomography, from medical imaging to geophysics, with Professor Peter Kuchment's comprehensive overview of this fascinating field.
Uniqueness of the Measure of Maximal Entropy for Geodesic Flows on Surfaces with Caps
Explore analytic techniques in dynamics and geometry, focusing on uniqueness of maximal entropy measures for geodesic flows on capped surfaces.
Elliptic Regularity and Singularity
Explore elliptic regularity and singularity in mathematics with Federico Franceschini's concise talk, gaining insights into advanced mathematical concepts and their applications.
Singularities of Constructible Sheaves
Explore advanced mathematical concepts in constructible sheaves and their singularities, delving into complex algebraic geometry and topology.