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19942026
most citedDeCAF: A Deep Convolutional Activation Feature for Generic Visual Recognition

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7 papers · 1 filter

math.OC2019★ 33 cited

DINGO: Distributed Newton-Type Method for Gradient-Norm Optimization

Rixon Crane, Fred Roosta

For optimization of a sum of functions in a distributed computing environment, we present a novel communication efficient Newton-type algorithm that enjoys a variety of advantages…

math.OC2018★ 1 cited

Newton-MR: Inexact Newton Method With Minimum Residual Sub-problem Solver

Fred Roosta, Yang Liu, Peng Xu +1

We consider a variant of inexact Newton Method, called Newton-MR, in which the least-squares sub-problems are solved approximately using Minimum Residual method. By construction, N…

math.OC2018★ 28 cited

Inexact Non-Convex Newton-Type Methods

Zhewei Yao, Peng Xu, Farbod Roosta-Khorasani +1

For solving large-scale non-convex problems, we propose inexact variants of trust region and adaptive cubic regularization methods, which, to increase efficiency, incorporate vario…

math.OC2017★ 34 cited

Second-Order Optimization for Non-Convex Machine Learning: An Empirical Study

Peng Xu, Farbod Roosta-Khorasani, Michael W. Mahoney

While first-order optimization methods such as stochastic gradient descent (SGD) are popular in machine learning (ML), they come with well-known deficiencies, including relatively-…

math.OC2017★ 53 cited

Newton-Type Methods for Non-Convex Optimization Under Inexact Hessian Information

Peng Xu, Fred Roosta, Michael W. Mahoney

We consider variants of trust-region and cubic regularization methods for non-convex optimization, in which the Hessian matrix is approximated. Under mild conditions on the inexact…

math.OC2016

FLAG n' FLARE: Fast Linearly-Coupled Adaptive Gradient Methods

Xiang Cheng, Farbod Roosta-Khorasani, Stefan Palombo +2

We consider first order gradient methods for effectively optimizing a composite objective in the form of a sum of smooth and, potentially, non-smooth functions. We present accelera…