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Andrea Montanari

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titleconferencedate
Exact Asymptotics and Universality for Gradient Flows and Empirical Risk MinimizersDeep Learning Theory Symposium 20212021-12-03
Paper with Michael Celentano and Chen Chen proves that in proportional high‑dim limits one coordinate trajectory of high‑dimensional gradient flow has a…
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Tractability And Overparametrization In Some Simple ModelsAlgorithmic Advances for Statistical Inference with Combinatorial Structure2021-10-11
Proves precise large-|kappa| asymptotics for when negative‑margin linear classifiers exist versus when they’re findable: the satisfiability threshold δ_S…
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An Instability in Variational Methods for Learning Topic ModelsOptimization, Statistics and Uncertainty2017-11-28
Variational mean-field inference on low-rank generative models produces a spurious informative fixed point between the information-theoretic spectral threshold…
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Analysis of Algorithms on Dense Matrices using Approximate Message PassingRandom Instances and Phase Transitions (Simons Institute, 2016)2016-05-02
A specific algorithmic claim: iterating a centered, rescaled dense random matrix with a component-wise nonlinearity plus an explicit Onsager reaction term…
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Local Algorithms for Two Problems on Locally Tree-Like GraphsApproximate Counting, Markov Chains and Phase Transitions2016-02-22
Andrea Montanari, Stanford University Approximate Counting, Markov Chains and Phase Transitions https://simons.berkeley.edu/talks/andrea-montanari-02-22-2016
Talk
Where the Hard Things AreCounting Complexity and Phase Transitions Boot Camp2016-01-26
Random K-SAT exhibits a sharp satisfiability threshold ~4.267 for k=3 and a geometry where solutions break into exponentially many well-separated clusters then…
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Statistical Estimation on GraphsCoding: From Practice to Theory2015-02-19
Random LDPC code (rate 1/2, degree 3/6) shows a sharp gap between the local decoder threshold (belief propagation) and the information-theoretic threshold…
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A Statistical Model for Tensor Principal Component AnalysisSpectral Algorithms: From Theory to Practice 20142014-10-27
Model: symmetric spiked tensor X = beta v0^{\otimes K} + Z with Gaussian rotation‑invariant noise; the statistical threshold is constant: MLE succeeds once…
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