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Explore min-max optimization, equilibrium computation, and adversarial gradient descent in zero-sum games, connecting classical techniques to deep learning applications.
Explore causal graphical models, d-separation, and do-calculus. Learn about graphs, Bayesian networks, and instrumental variables for understanding causality in complex systems.
Explore equivariant machine learning and its connection to classical physics, focusing on graph neural networks, spectral methods, and symmetry in optimization problems.
Explore equivariant reinforcement learning, its advantages, and applications in graph neural networks with Max Welling from the University of Amsterdam.
Explore quantum predictions: efficient learning methods, impossible problems, and how quantum technology enhances our predictive capabilities in physics and chemistry.
Explore how generative models revolutionize data compression and signal processing, offering new perspectives on sparsity and optimization in machine learning.
Explore algorithms for finding large cliques in graphs, including constructive arguments, polynomial-time proofs, and paradigms for tackling this NP-hard problem.
Explore breakthroughs in locally testable codes, focusing on constant rate, distance, and locality. Irit Dinur discusses high-dimensional expanders, Tanner codes, and local testability proofs.
Explore statistical estimation challenges, information theory, and computational barriers in high-dimensional settings with Stanford's Andrea Montanari in this Richard M. Karp Distinguished Lecture.
Explore optimal gradient-based algorithms for non-concave bandit optimization, covering stochastic problems, low-rank linear rewards, and high-order polynomials with applications to reinforcement learning.
Explore gradient flows in Wasserstein metric, continuity equations, and aggregation dynamics. Learn about two-layer neural networks and chi-squared divergence in optimization and sampling.
Explore optimal transport theory, its applications, and key concepts like cost formulation, optimal coupling, and transport maps in this comprehensive lecture.
Explore geometric methods in optimization and sampling, covering direct methods, Markov chain Monte Carlo, and probabilistic approaches for efficient algorithm design and analysis.
Explore geometric methods in optimization and sampling, covering key topics like convexity, optimality, and gradient descent with expert insights from MIT's Ashia Wilson.
Explore Approximate Message Passing algorithms, their applications in statistical inference, and theoretical foundations including state evolution, convergence, and joint distribution analysis.
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