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20062026
most citedOn the Optimization of Deep Networks: Implicit Acceleration by Overparameterization

124 citations · 1.6k across the 112 of their papers we have counts for

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Showing 2018Show all

6 papers · 1 filter

cs.LG2018★ 4 cited

Learning in Non-convex Games with an Optimization Oracle

Naman Agarwal, Alon Gonen, Elad Hazan

We consider online learning in an adversarial, non-convex setting under the assumption that the learner has an access to an offline optimization oracle. In the general setting of p…

cs.LG2018★ 10 cited

Efficient Full-Matrix Adaptive Regularization

Naman Agarwal, Brian Bullins, Xinyi Chen +4

Adaptive regularization methods pre-multiply a descent direction by a preconditioning matrix. Due to the large number of parameters of machine learning problems, full-matrix precon…

cs.LG2018★ 12 cited

Online Improper Learning with an Approximation Oracle

Elad Hazan, Wei Hu, Yuanzhi Li +1

We revisit the question of reducing online learning to approximate optimization of the offline problem. In this setting, we give two algorithms with near-optimal performance in the…

cs.LG2018★ 17 cited

Spectral Filtering for General Linear Dynamical Systems

Elad Hazan, Holden Lee, Karan Singh +2

We give a polynomial-time algorithm for learning latent-state linear dynamical systems without system identification, and without assumptions on the spectral radius of the system's…

quant-ph2018★ 22 cited

Online Learning of Quantum States

Scott Aaronson, Xinyi Chen, Elad Hazan +2

Suppose we have many copies of an unknown -qubit state . We measure some copies of using a known two-outcome measurement , then other copies using a measurement $E…

cs.LG2018★ 124 cited

On the Optimization of Deep Networks: Implicit Acceleration by Overparameterization

Sanjeev Arora, Nadav Cohen, Elad Hazan

Conventional wisdom in deep learning states that increasing depth improves expressiveness but complicates optimization. This paper suggests that, sometimes, increasing depth can sp…