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20032024
most citedOptimal Solutions for Sparse Principal Component Analysis

260 citations · 836 across the 69 of their papers we have counts for

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Showing 2019Show all

8 papers · 1 filter

cs.LG2019★ 1 cited

Screening Data Points in Empirical Risk Minimization via Ellipsoidal Regions and Safe Loss Functions

Grégoire Mialon, Alexandre d'Aspremont, Julien Mairal

We design simple screening tests to automatically discard data samples in empirical risk minimization without losing optimization guarantees. We derive loss functions that produce…

math.OC2019★ 31 cited

Optimal Complexity and Certification of Bregman First-Order Methods

Radu-Alexandru Dragomir, Adrien Taylor, Alexandre d'Aspremont +1

We provide a lower bound showing that the convergence rate of the NoLips method (a.k.a. Bregman Gradient) is optimal for the class of functions satisfying the -smoothne…

math.OC2019

Polyak Steps for Adaptive Fast Gradient Method

Mathieu Barré, Alexandre d'Aspremont

Accelerated algorithms for minimizing smooth strongly convex functions usually require knowledge of the strong convexity parameter . In the case of an unknown , current adapt…

stat.ML2019★ 17 cited

Ranking and synchronization from pairwise measurements via SVD

Alexandre d'Aspremont, Mihai Cucuringu, Hemant Tyagi

Given a measurement graph and an unknown signal , we investigate algorithms for recovering from pairwise measurements of the form ; $\…

stat.ML2019★ 3 cited

Regularity as Regularization: Smooth and Strongly Convex Brenier Potentials in Optimal Transport

François-Pierre Paty, Alexandre d'Aspremont, Marco Cuturi

Estimating Wasserstein distances between two high-dimensional densities suffers from the curse of dimensionality: one needs an exponential (wrt dimension) number of samples to ensu…

cs.LG2019★ 4 cited

Naive Feature Selection: a Nearly Tight Convex Relaxation for Sparse Naive Bayes

Armin Askari, Alexandre d'Aspremont, Laurent El Ghaoui

Due to its linear complexity, naive Bayes classification remains an attractive supervised learning method, especially in very large-scale settings. We propose a sparse version of n…