
NearOptimal Algorithms for Minimax Optimization
This paper resolves a longstanding open question pertaining to the desig...
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On the Complexity of Approximating Multimarginal Optimal Transport
We study the complexity of approximating the multimarginal optimal trans...
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Global Error Bounds and Linear Convergence for GradientBased Algorithms for Trend Filtering and ℓ_1Convex Clustering
We propose a class of firstorder gradienttype optimization algorithms ...
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FiniteTime LastIterate Convergence for MultiAgent Learning in Games
We consider multiagent learning via online gradient descent (OGD) in a ...
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Revisiting Fixed Support Wasserstein Barycenter: Computational Hardness and Efficient Algorithms
We study the fixedsupport Wasserstein barycenter problem (FSWBP), whic...
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Stochastic PrimalDual Proximal ExtraGradient Descent for Compositely Regularized Optimization
We consider a wide range of regularized stochastic minimization problems...
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Relaxed Wasserstein with Applications to GANs
We propose a novel class of statistical divergences called Relaxed Wasse...
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Structured Nonconvex and Nonsmooth Optimization: Algorithms and Iteration Complexity Analysis
Nonconvex and nonsmooth optimization problems are frequently encountered...
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Global Convergence of Unmodified 3Block ADMM for a Class of Convex Minimization Problems
The alternating direction method of multipliers (ADMM) has been successf...
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An ExtragradientBased Alternating Direction Method for Convex Minimization
In this paper, we consider the problem of minimizing the sum of two conv...
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An Incremental PathFollowing Splitting Method for Linearly Constrained Nonconvex Nonsmooth Programs
The linearly constrained nonconvex nonsmooth program has drawn much atte...
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On the Iteration Complexity Analysis of Stochastic PrimalDual Hybrid Gradient Approach with High Probability
In this paper, we propose a stochastic PrimalDual Hybrid Gradient (PDHG...
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Improved Incremental FirstOrder Oracle Complexity of Variance Reduced Methods for Nonsmooth Convex Stochastic Composition Optimization
We consider the nonsmooth convex composition optimization problem where ...
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Improved Oracle Complexity of Variance Reduced Methods for Nonsmooth Convex Stochastic Composition Optimization
We consider the nonsmooth convex composition optimization problem where ...
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Sparsemax and Relaxed Wasserstein for Topic Sparsity
Topic sparsity refers to the observation that individual documents usual...
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On Efficient Optimal Transport: An Analysis of Greedy and Accelerated Mirror Descent Algorithms
We provide theoretical analyses for two algorithms that solve the regula...
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On Gradient Descent Ascent for NonconvexConcave Minimax Problems
We consider nonconvexconcave minimax problems, _x_y∈Y f(x, y), where f ...
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On the Acceleration of the Sinkhorn and Greenkhorn Algorithms for Optimal Transport
We propose and analyze a novel approach to accelerate the Sinkhorn and G...
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On Structured FilteringClustering: Global Error Bound and Optimal FirstOrder Algorithms
In recent years, the filteringclustering problems have been a central t...
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A ControlTheoretic Perspective on Optimal HighOrder Optimization
In this paper, we provide a controltheoretic perspective on optimal ten...
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Computational Hardness and Fast Algorithm for FixedSupport Wasserstein Barycenter
We study in this paper the fixedsupport Wasserstein barycenter problem ...
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Tianyi Lin
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