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08/30/2023
A Unified Analysis for the Subgradient Methods Minimizing Composite Nonconvex, Nonsmooth and Non-Lipschitz Functions
In this paper we propose a proximal subgradient method (Prox-SubGrad) fo...
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06/02/2023
An Augmented Lagrangian Approach to Conically Constrained Non-monotone Variational Inequality Problems
In this paper we consider a non-monotone (mixed) variational inequality ...
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09/02/2022
Cubic-Regularized Newton for Spectral Constrained Matrix Optimization and its Application to Fairness
Matrix functions are utilized to rewrite smooth spectral constrained mat...
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05/26/2022
Projectively and weakly simultaneously diagonalizable matrices and their applications
Characterizing simultaneously diagonalizable (SD) matrices has been rece...
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06/29/2020
Binary Random Projections with Controllable Sparsity Patterns
Random projection is often used to project higher-dimensional vectors on...
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12/22/2019
Polar decomposition based algorithms on the product of Stiefel manifolds with applications in tensor approximation
In this paper, based on the matrix polar decomposition, we propose a gen...
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02/06/2018
Highly accurate model for prediction of lung nodule malignancy with CT scans
Computed tomography (CT) examinations are commonly used to predict lung ...
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10/05/2017
Primal-Dual Optimization Algorithms over Riemannian Manifolds: an Iteration Complexity Analysis
In this paper we study nonconvex and nonsmooth multi-block optimization ...
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02/17/2017
Accelerated Primal-Dual Proximal Block Coordinate Updating Methods for Constrained Convex Optimization
Block Coordinate Update (BCU) methods enjoy low per-update computational...
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05/19/2016
Randomized Primal-Dual Proximal Block Coordinate Updates
In this paper we propose a randomized primal-dual proximal block coordin...
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05/09/2016
Structured Nonconvex and Nonsmooth Optimization: Algorithms and Iteration Complexity Analysis
Nonconvex and nonsmooth optimization problems are frequently encountered...
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05/16/2015
Global Convergence of Unmodified 3-Block ADMM for a Class of Convex Minimization Problems
The alternating direction method of multipliers (ADMM) has been successf...
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01/27/2013