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GRAMSIA - Graphical Models, Statistical Inference, and Algorithms

Harvard CMSA via YouTube

Overview

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Explore advanced mathematical foundations of graphical models and statistical inference through this comprehensive workshop featuring leading researchers from MIT, Brown University, and Carnegie Mellon. Delve into cutting-edge topics including mean-field approximations for high-dimensional Bayesian regression, spectral statistics for sparse random graphs, and modern perspectives on reconstruction bounds for tree structures. Examine algorithmic approaches to planted clique problems, broadcasting on trees, and stochastic block models while investigating the theoretical underpinnings of machine learning through Gaussian data analysis. Discover recent developments in random graph matching, counterfactual inference with unobserved confounding, and distribution compression techniques. Learn about neighborhood interference with low-order interactions, implicit regularization through uniform convergence, and margin-maximization via game-theoretic approaches. Gain insights into algorithmic decorrelation methods, augmented IPW estimators in high dimensions, and optimization strategies that bridge theoretical mathematics with practical machine learning applications.

Syllabus

Subhabrata Sen | Mean-field approximations for high-dimensional Bayesian regression
Elchanan Mossel | Some modern perspectives on the Kesten-Stigum bound for reconstruction on trees.
Christina Lee Yu | Exploiting Neighborhood Interference w/Low Order Interactions...
Theo McKenzie | Spectral statistics for sparse random graphs
Ilias Zadik | Revisiting Jerrum’s Metropolis Process for the Planted Clique Problem
Florent Krzakala | Are Gaussian data all you need for machine learning theory?
Yury Polyanskiy | Recent results on broadcasting on trees and stochastic block model
Alex Wein | Is Planted Coloring Easier than Planted Clique?
Guy Bresler | Algorithmic Decorrelation and Planted Clique in Dependent Random Graphs
Patrick Rebeschini | Implicit regularization via uniform convergence
Pragya Sur | A New Central Limit Theorem for the Augmented IPW estimator in high dimensions
Yihong Wu | Random graph matching at Otter’s threshold via counting chandeliers
Jake Abernethy | Optimization, Learning, and Margin-maximization via Playing Games
Devavrat Shah | On counterfactual inference with unobserved confounding via exponential family
Lester Mackey | Advances in Distribution Compression

Taught by

Harvard CMSA

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