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The Generalization Error of Random Features Regression: Precise Asymptotics and the Double Descent Curve

Communications on pure and applied mathematics, 2022-04, Vol.75 (4), p.667-766

2022

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High dimensional robust M-estimation: asymptotic variance via approximate message passing

Probability theory and related fields, 2016-12, Vol.166 (3-4), p.935-969

2016

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A mean field view of the landscape of two-layer neural networks

Proceedings of the National Academy of Sciences - PNAS, 2018-08, Vol.115 (33), p.E7665-E7671

2018

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Optimization of the Sherrington--Kirkpatrick Hamiltonian

SIAM journal on computing, 2021-01, p.FOCS19-1-FOCS19-38

Montanari, Andrea

2021

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THE LANDSCAPE OF EMPIRICAL RISK FOR NONCONVEX LOSSES

The Annals of statistics, 2018-12, Vol.46 (6A), p.2747-2774

2018

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spread of innovations in social networks

Proceedings of the National Academy of Sciences - PNAS, 2010-11, Vol.107 (47), p.20196-20201

2010

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Deep learning: a statistical viewpoint

Acta numerica, 2021-05, Vol.30, p.87-201

2021

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Phase transitions in semidefinite relaxations

Proceedings of the National Academy of Sciences - PNAS, 2016-04, Vol.113 (16), p.E2218-E2223

2016

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Message-passing algorithms for compressed sensing

Proceedings of the National Academy of Sciences - PNAS, 2009-11, Vol.106 (45), p.18914-18919

2009

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UNIVERSALITY IN POLYTOPE PHASE TRANSITIONS AND MESSAGE PASSING ALGORITHMS

The Annals of applied probability, 2015-04, Vol.25 (2), p.753-822

2015

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Information-Theoretically Optimal Compressed Sensing via Spatial Coupling and Approximate Message Passing

IEEE transactions on information theory, 2013-11, Vol.59 (11), p.7434-7464

2013

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The Noise-Sensitivity Phase Transition in Compressed Sensing

IEEE transactions on information theory, 2011-10, Vol.57 (10), p.6920-6941

2011

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Accurate Prediction of Phase Transitions in Compressed Sensing via a Connection to Minimax Denoising

IEEE transactions on information theory, 2013-06, Vol.59 (6), p.3396-3433

2013

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Computational implications of reducing data to sufficient statistics

Electronic journal of statistics, 2015-01, Vol.9 (2)

Montanari, Andrea

2015

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The Replica Symmetric Solution for Potts Models on d-Regular Graphs

Communications in mathematical physics, 2014-04, Vol.327 (2), p.551-575

2014

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DEBIASING THE LASSO: OPTIMAL SAMPLE SIZE FOR GAUSSIAN DESIGNS

The Annals of statistics, 2018-12, Vol.46 (6A), p.2593-2622

2018

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Estimating random variables from random sparse observations

European transactions on telecommunications, 2008-06, Vol.19 (4), p.385-403

Andrea, Montanari

2008

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Optimization of the Sherrington-Kirkpatrick Hamiltonian

2019 IEEE 60th Annual Symposium on Foundations of Computer Science (FOCS), 2019, p.1417-1433

Montanari, Andrea

2019

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Gibbs states and the set of solutions of random constraint satisfaction problems

Proceedings of the National Academy of Sciences - PNAS, 2007-06, Vol.104 (25), p.10318-10323

2007

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Estimation of low-rank matrices via approximate message passing

The Annals of statistics, 2021-02, Vol.49 (1), p.321

2021

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phase transition of matrix recovery from Gaussian measurements matches the minimax MSE of matrix denoising

Proceedings of the National Academy of Sciences - PNAS, 2013-05, Vol.110 (21), p.8405-8410

2013

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Finding One Community in a Sparse Graph

Journal of statistical physics, 2015-10, Vol.161 (2), p.273-299

Montanari, Andrea

2015

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Micro urban spaces and mental well-being: Measuring the exposure to urban landscapes along daily mobility paths and their effects on momentary depressive symptomatology among older population

Environment international, 2023-08, Vol.178, p.108095-108095, Article 108095

2023

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Urban environment influences on stress, autonomic reactivity and circadian rhythm: protocol for an ambulatory study of mental health and sleep

Frontiers in public health, 2024-02, Vol.12, p.1175109-1175109

2024

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The interpolation phase transition in neural networks: Memorization and generalization under lazy training

The Annals of statistics, 2022-10, Vol.50 (5), p.2816

2022

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The Generalization Error of Random Features Regression: Precise Asymptotics and the Double Descent Curve

High dimensional robust M-estimation: asymptotic variance via approximate message passing

A mean field view of the landscape of two-layer neural networks

Optimization of the Sherrington--Kirkpatrick Hamiltonian

THE LANDSCAPE OF EMPIRICAL RISK FOR NONCONVEX LOSSES

spread of innovations in social networks

Deep learning: a statistical viewpoint

Phase transitions in semidefinite relaxations

Message-passing algorithms for compressed sensing

UNIVERSALITY IN POLYTOPE PHASE TRANSITIONS AND MESSAGE PASSING ALGORITHMS

Information-Theoretically Optimal Compressed Sensing via Spatial Coupling and Approximate Message Passing

The Noise-Sensitivity Phase Transition in Compressed Sensing

Accurate Prediction of Phase Transitions in Compressed Sensing via a Connection to Minimax Denoising

Computational implications of reducing data to sufficient statistics

The Replica Symmetric Solution for Potts Models on d-Regular Graphs

DEBIASING THE LASSO: OPTIMAL SAMPLE SIZE FOR GAUSSIAN DESIGNS

Estimating random variables from random sparse observations

Optimization of the Sherrington-Kirkpatrick Hamiltonian

Gibbs states and the set of solutions of random constraint satisfaction problems

Estimation of low-rank matrices via approximate message passing

phase transition of matrix recovery from Gaussian measurements matches the minimax MSE of matrix denoising

Finding One Community in a Sparse Graph

Micro urban spaces and mental well-being: Measuring the exposure to urban landscapes along daily mobility paths and their effects on momentary depressive symptomatology among older population

Urban environment influences on stress, autonomic reactivity and circadian rhythm: protocol for an ambulatory study of mental health and sleep

The interpolation phase transition in neural networks: Memorization and generalization under lazy training

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