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20172026
most citedExact Guarantees on the Absence of Spurious Local Minima for Non-negative Rank-1 Robust Principal Component Analysis

19 citations · 69 across the 35 of their papers we have counts for

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Showing 2023Show all

5 papers · 1 filter

math.OC2023

Solution Path of Time-varying Markov Random Fields with Discrete Regularization

Salar Fattahi, Andres Gomez

We study the problem of inferring sparse time-varying Markov random fields (MRFs) with different discrete and temporal regularizations on the parameters. Due to the intractability…

cs.LG2023★ 1 cited

Personalized Dictionary Learning for Heterogeneous Datasets

Geyu Liang, Naichen Shi, Raed Al Kontar +1

We introduce a relevant yet challenging problem named Personalized Dictionary Learning (PerDL), where the goal is to learn sparse linear representations from heterogeneous datasets…

stat.ME2023★ 2 cited

Heterogeneous Matrix Factorization: When Features Differ by Datasets

Naichen Shi, Raed Al Kontar, Salar Fattahi

In myriad statistical applications, data are collected from related but heterogeneous sources. These sources share some commonalities while containing idiosyncratic characteristics…

cs.LG2023

Sparse Mean Estimation in Adversarial Settings via Incremental Learning

Jianhao Ma, Rui Ray Chen, Yinghui He +2

In this paper, we study the problem of sparse mean estimation under adversarial corruptions, where the goal is to estimate the -sparse mean of a heavy-tailed distribution from s…

cs.LG2023

Can Learning Be Explained By Local Optimality In Robust Low-rank Matrix Recovery?

Jianhao Ma, Salar Fattahi

We explore the local landscape of low-rank matrix recovery, focusing on reconstructing a matrix with rank from linear measurements, some potential…