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20112023
most citedFaster Rates for the Frank-Wolfe Method over Strongly-Convex Sets

87 citations · 373 across the 33 of their papers we have counts for

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16 papers · 1 filter

cs.LG2023★ 1 cited

Projection-free Online Exp-concave Optimization

Dan Garber, Ben Kretzu

We consider the setting of online convex optimization (OCO) with \textit{exp-concave} losses. The best regret bound known for this setting is , where is the dimens…

cs.LG2022★ 4 cited

New Projection-free Algorithms for Online Convex Optimization with Adaptive Regret Guarantees

Dan Garber, Ben Kretzu

We present new efficient \textit{projection-free} algorithms for online convex optimization (OCO), where by projection-free we refer to algorithms that avoid computing orthogonal p…

cs.LG2020★ 8 cited

Revisiting Projection-free Online Learning: the Strongly Convex Case

Dan Garber, Ben Kretzu

Projection-free optimization algorithms, which are mostly based on the classical Frank-Wolfe method, have gained significant interest in the machine learning community in recent ye…

cs.LG2020★ 1 cited

On the Convergence of Stochastic Gradient Descent with Low-Rank Projections for Convex Low-Rank Matrix Problems

Dan Garber

We revisit the use of Stochastic Gradient Descent (SGD) for solving convex optimization problems that serve as highly popular convex relaxations for many important low-rank matrix…

cs.LG2019★ 7 cited

Improved Regret Bounds for Projection-free Bandit Convex Optimization

Dan Garber, Ben Kretzu

We revisit the challenge of designing online algorithms for the bandit convex optimization problem (BCO) which are also scalable to high dimensional problems. Hence, we consider al…

cs.LG2018

Fast Stochastic Algorithms for Low-rank and Nonsmooth Matrix Problems

Dan Garber, Atara Kaplan

Composite convex optimization problems which include both a nonsmooth term and a low-rank promoting term have important applications in machine learning and signal processing, such…

cs.LG2018★ 3 cited

On the Regret Minimization of Nonconvex Online Gradient Ascent for Online PCA

Dan Garber

In this paper we focus on the problem of Online Principal Component Analysis in the regret minimization framework. For this problem, all existing regret minimization algorithms for…

cs.LG2018★ 1 cited

Learning of Optimal Forecast Aggregation in Partial Evidence Environments

Yakov Babichenko, Dan Garber

We consider the forecast aggregation problem in repeated settings, where the forecasts are done on a binary event. At each period multiple experts provide forecasts about an event.…

cs.LG2018★ 7 cited

Improved Complexities of Conditional Gradient-Type Methods with Applications to Robust Matrix Recovery Problems

Dan Garber, Shoham Sabach, Atara Kaplan

Motivated by robust matrix recovery problems such as Robust Principal Component Analysis, we consider a general optimization problem of minimizing a smooth and strongly convex loss…

cs.LG2018★ 3 cited

Logarithmic Regret for Online Gradient Descent Beyond Strong Convexity

Dan Garber

Hoffman's classical result gives a bound on the distance of a point from a convex and compact polytope in terms of the magnitude of violation of the constraints. Recently, several…

cs.LG2017

Efficient Online Linear Optimization with Approximation Algorithms

Dan Garber

We revisit the problem of \textit{online linear optimization} in case the set of feasible actions is accessible through an approximated linear optimization oracle with a factor …

cs.LG2017★ 22 cited

Communication-efficient Algorithms for Distributed Stochastic Principal Component Analysis

Dan Garber, Ohad Shamir, Nathan Srebro

We study the fundamental problem of Principal Component Analysis in a statistical distributed setting in which each machine out of stores a sample of points sampled i.i.d.…

cs.LG2017★ 14 cited

Stochastic Canonical Correlation Analysis

Chao Gao, Dan Garber, Nathan Srebro +2

We study the sample complexity of canonical correlation analysis (CCA), \ie, the number of samples needed to estimate the population canonical correlation and directions up to arbi…

cs.LG2016★ 1 cited

Efficient Globally Convergent Stochastic Optimization for Canonical Correlation Analysis

Weiran Wang, Jialei Wang, Dan Garber +1

We study the stochastic optimization of canonical correlation analysis (CCA), whose objective is nonconvex and does not decouple over training samples. Although several stochastic…

cs.LG2013★ 57 cited

A Linearly Convergent Conditional Gradient Algorithm with Applications to Online and Stochastic Optimization

Dan Garber, Elad Hazan

Linear optimization is many times algorithmically simpler than non-linear convex optimization. Linear optimization over matroid polytopes, matching polytopes and path polytopes are…

cs.LG2011

Universal MMSE Filtering With Logarithmic Adaptive Regret

Dan Garber, Elad Hazan

We consider the problem of online estimation of a real-valued signal corrupted by oblivious zero-mean noise using linear estimators. The estimator is required to iteratively predic…