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On the Inherent Regularization Effects of Noise Injection During Training


Feb 15, 2021
Oussama Dhifallah, Yue M. Lu


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Householder Dice: A Matrix-Free Algorithm for Simulating Dynamics on Gaussian and Random Orthogonal Ensembles


Jan 22, 2021
Yue M. Lu


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Phase Transitions in Transfer Learning for High-Dimensional Perceptrons


Jan 06, 2021
Oussama Dhifallah, Yue M. Lu


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Generalization error in high-dimensional perceptrons: Approaching Bayes error with convex optimization


Jun 11, 2020
Benjamin Aubin, Florent Krzakala, Yue M. Lu, Lenka Zdeborová

* 11 pages + 45 pages Supplementary Material / 5 figures 

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The role of regularization in classification of high-dimensional noisy Gaussian mixture


Feb 26, 2020
Francesca Mignacco, Florent Krzakala, Yue M. Lu, Lenka Zdeborová

* 8 pages + appendix, 6 figures 

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Generalized Approximate Survey Propagation for High-Dimensional Estimation


May 13, 2019
Luca Saglietti, Yue M. Lu, Carlo Lucibello

* ICML 2019 

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MMSE Approximation For Sparse Coding Algorithms Using Stochastic Resonance


Oct 22, 2018
Dror Simon, Jeremias Sulam, Yaniv Romano, Yue M. Lu, Michael Elad


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Subspace Estimation from Incomplete Observations: A High-Dimensional Analysis


Oct 18, 2018
Chuang Wang, Yonina C. Eldar, Yue M. Lu

* 26 pages, 6 figures 

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Nonconvex Optimization Meets Low-Rank Matrix Factorization: An Overview


Sep 25, 2018
Yuejie Chi, Yue M. Lu, Yuxin Chen


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Streaming PCA and Subspace Tracking: The Missing Data Case


Jun 12, 2018
Laura Balzano, Yuejie Chi, Yue M. Lu

* 27 pages, 7 figures, submitted to the Proceedings of IEEE 

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A Solvable High-Dimensional Model of GAN


May 22, 2018
Chuang Wang, Hong Hu, Yue M. Lu

* 10 pages, 4 figures 

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Scaling Limit: Exact and Tractable Analysis of Online Learning Algorithms with Applications to Regularized Regression and PCA


Dec 08, 2017
Chuang Wang, Jonathan Mattingly, Yue M. Lu


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The Scaling Limit of High-Dimensional Online Independent Component Analysis


Nov 07, 2017
Chuang Wang, Yue M. Lu

* 10 pages, 3 figures, 31st Conference on Neural Information Processing Systems (NIPS 2017) 

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Phase Transitions of Spectral Initialization for High-Dimensional Nonconvex Estimation


Apr 11, 2017
Yue M. Lu, Gen Li


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Understanding Symmetric Smoothing Filters: A Gaussian Mixture Model Perspective


Sep 23, 2016
Stanley H. Chan, Todd Zickler, Yue M. Lu

* 14 pages 

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A Tale of Two Bases: Local-Nonlocal Regularization on Image Patches with Convolution Framelets


Sep 12, 2016
Rujie Yin, Tingran Gao, Yue M. Lu, Ingrid Daubechies


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Monte Carlo non local means: Random sampling for large-scale image filtering


May 14, 2014
Stanley H. Chan, Todd Zickler, Yue M. Lu

* submitted for publication 

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