
Explore Connes's spectral distance and its dual formula in noncommutative geometry, extending Kantorovich's and Beckmann's concepts from optimal transport theory.

Explore differentiation in non-differentiable spaces, extending beyond traditional smooth manifolds to spaces with Ricci curvature bounds. Gain insights into advanced mathematical concepts.

Explore synthetic timelike Ricci curvature lower bounds and their implications for isoperimetric inequality in Lorentzian synthetic spaces.

Explore sample size estimates for risk-neutral semilinear PDE-constrained optimization using SAA approach, covering nonasymptotic analysis and numerical illustrations.

Uncover the surprising connection between CCCP and Frank-Wolfe methods, gaining insights and transferring convergence theory for nonconvex optimization problems.

Explore sharp isoperimetric-type inequalities in Lorentzian spaces with time-like Ricci curvature bounds, including applications to black holes and cosmological space-times.

Explore advanced coordinate descent methods for complex optimization problems, covering nonseparable and nonsmooth functions, random proximal gradients, and smooth approximations.

Explore Kurdyka-Łojasiewicz exponents in L1-regularized optimization, focusing on Hadamard difference parametrization and its impact on local convergence rates of gradient methods.

Explore probabilistic methods in geometric problems, focusing on injectivity radius in hyperbolic manifolds and stationary actions of groups with large stabilizers.

Explore embeddings of hyperbolic groups into finitely presented simple groups, addressing the Boone-Higman Conjecture and its implications for group theory and word problems.

Explore novel methods for learning theory-informed priors in Bayesian inference using normalizing flows, with applications to early dark energy models in cosmology.

Explore machine learning techniques in knot theory, focusing on learning 4D topological invariants from the Jones polynomial and their implications for understanding knot structures.

Explore symmetries in dynamical systems using scalable neural networks to infer patterns across various sizes and complexities.

Explore causal inference in Python, moving beyond association to causation. Learn graphical causal models, do-calculus, and apply the causal data science pipeline to retail problems using DoWhy library.

Descubre técnicas avanzadas para aprender DAGs gaussianos a partir de datos de red con el Dr. Oscar Hernán Madrid Padilla de UCLA.

Explore automated causal inference techniques using auto-causality package. Learn to analyze A/B test results, measure impacts, and identify customer responses to different options.

Explore causal learning for data-driven marketing decisions in an era of privacy protection and unpredictable market conditions.

Explore causal inference and Bayesian techniques in retail, focusing on supply chain, customer behavior, and promotion effects at M&S. Learn to answer "why" and "what-if" questions using machine learning.

Explore causal inference methods to de-bias data, approximate incremental improvements, and accelerate insights using propensity score matching and regression discontinuity.

Explore Synthetic Control methodology for measuring intervention impact when A/B testing isn't feasible. Learn to construct "synthetic" units, estimate causal effects, and apply this innovative approach to real-world scenarios.

Explore score-based generative modeling for graphs using stochastic differential equations. Learn about graph diffusion, forward and reverse processes, and applications in molecule generation.