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20102023
most citedTensorizing Neural Networks

604 citations

Showing 2018Show all

9 papers · 1 filter

math.OC2018★ 249 cited

On Lazy Training in Differentiable Programming

Lenaic Chizat, Edouard Oyallon, Francis Bach

In a series of recent theoretical works, it was shown that strongly over-parameterized neural networks trained with gradient-based methods could converge exponentially fast to zero…

cs.LG2018★ 6 cited

Sharp Analysis of Learning with Discrete Losses

Alex Nowak-Vila, Francis Bach, Alessandro Rudi

The problem of devising learning strategies for discrete losses (e.g., multilabeling, ranking) is currently addressed with methods and theoretical analyses ad-hoc for each loss. In…

math.ST2018★ 127 cited

Sample Complexity of Sinkhorn divergences

Aude Genevay, Lénaic Chizat, Francis Bach +2

Optimal transport (OT) and maximum mean discrepancies (MMD) are now routinely used in machine learning to compare probability measures. We focus in this paper on \emph{Sinkhorn div…

stat.ML2018★ 34 cited

A Kernel Perspective for Regularizing Deep Neural Networks

Alberto Bietti, Grégoire Mialon, Dexiong Chen +1

We propose a new point of view for regularizing deep neural networks by using the norm of a reproducing kernel Hilbert space (RKHS). Even though this norm cannot be computed, it ad…

math.OC2018★ 2 cited

Robust Seriation and Applications to Cancer Genomics

Antoine Recanati, Nicolas Servant, Jean-Philippe Vert +1

The seriation problem seeks to reorder a set of elements given pairwise similarity information, so that elements with higher similarity are closer in the resulting sequence. When a…

math.OC2018★ 2 cited

Nonlinear Acceleration of CNNs

Damien Scieur, Edouard Oyallon, Alexandre d'Aspremont +1

The Regularized Nonlinear Acceleration (RNA) algorithm is an acceleration method capable of improving the rate of convergence of many optimization schemes such as gradient descend,…

stat.ML2018★ 70 cited

Differential Properties of Sinkhorn Approximation for Learning with Wasserstein Distance

Giulia Luise, Alessandro Rudi, Massimiliano Pontil +1

Applications of optimal transport have recently gained remarkable attention thanks to the computational advantages of entropic regularization. However, in most situations the Sinkh…

stat.ML2018★ 9 cited

Constant Step Size Stochastic Gradient Descent for Probabilistic Modeling

Dmitry Babichev, Francis Bach

Stochastic gradient methods enable learning probabilistic models from large amounts of data. While large step-sizes (learning rates) have shown to be best for least-squares (e.g.,…

math.OC2018★ 1 cited

Frank-Wolfe with Subsampling Oracle

Thomas Kerdreux, Fabian Pedregosa, Alexandre d'Aspremont

We analyze two novel randomized variants of the Frank-Wolfe (FW) or conditional gradient algorithm. While classical FW algorithms require solving a linear minimization problem over…