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We study Langevin dynamics for recovering the planted signal in the spiked matrix model.
Dynamic theory of the spin-glass phase
Haim Sompolinsky and Annette Zippelius · 1981
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Relaxational dynamics of the edwards-anderson model and the mean-field theory of spin-glasses
Haim Sompolinsky and Annette Zippelius · 1982
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The sphericalp-spin interaction spin glass model: the statics
Andrea Crisanti and H-J Sommers · 1992
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Leticia F Cugliandolo and Jorge Kurchan · 1993
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Malte Grunwald · 1996
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Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
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Cugliandolo-kurchan equations for dynamics of spin-glasses
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Limiting dynamics for spherical models of spin glasses at high temperature
Amir Dembo, Alice Guionnet, and Christian Mazza · 2007
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The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
Florent Benaych-Georges and Raj Rao Nadakuditi · 2011
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Out-of-equilibrium dynamical mean-field equations for the perceptron model
Elisabeth Agoritsas, Giulio Biroli, Pierfrancesco Urbani, and Francesco Zamponi · 2018
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Characterizing implicit bias in terms of optimization geometry
Suriya Gunasekar, Jason Lee, Daniel Soudry, and Nathan Srebro · 2018
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Implicit bias of gradient descent on linear convolutional networks
Suriya Gunasekar, Jason D Lee, Daniel Soudry, and Nati Srebro · 2018
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The power of interpolation: Understanding the effectiveness of sgd in modern over-parametrized learning
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Implicit regularization in nonconvex statistical estimation: Gradient descent converges linearly for phase retrieval and matrix completion
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Daniel Soudry, Elad Hoffer, Mor Shpigel Nacson, Suriya Gunasekar, and Nathan Srebro · 2018
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Sanjeev Arora, Nadav Cohen, Wei Hu, and Yuping Luo · 2019
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Does data interpolation contradict statistical optimality?
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Tengyuan Liang, Alexander Rakhlin, and Xiyu Zhai · 2020
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Tengyuan Liang and Pragya Sur · 2020
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Stefano Sarao Mannelli, Giulio Biroli, Chiara Cammarota, Florent Krzakala, Pierfrancesco Urbani, and Lenka Zdeborová · 2020
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Francesca Mignacco, Florent Krzakala, Pierfrancesco Urbani, and Lenka Zdeborová · 2020
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