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04/28/2023
A Stochastic-Gradient-based Interior-Point Algorithm for Solving Smooth Bound-Constrained Optimization Problems
A stochastic-gradient-based interior-point algorithm for minimizing a co...
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10/06/2021
Boosting RANSAC via Dual Principal Component Pursuit
In this paper, we revisit the problem of local optimization in RANSAC. O...
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06/24/2021
A Stochastic Sequential Quadratic Optimization Algorithm for Nonlinear Equality Constrained Optimization with Rank-Deficient Jacobians
A sequential quadratic optimization algorithm is proposed for solving sm...
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07/20/2020
Sequential Quadratic Optimization for Nonlinear Equality Constrained Stochastic Optimization
Sequential quadratic optimization algorithms are proposed for solving sm...
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06/07/2020
Self-Representation Based Unsupervised Exemplar Selection in a Union of Subspaces
Finding a small set of representatives from an unlabeled dataset is a co...
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05/08/2020
Is an Affine Constraint Needed for Affine Subspace Clustering?
Subspace clustering methods based on expressing each data point as a lin...
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12/30/2019
Basis Pursuit and Orthogonal Matching Pursuit for Subspace-preserving Recovery: Theoretical Analysis
Given an overcomplete dictionary A and a signal b = Ac^* for some sparse...
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10/12/2019
Generalized Nullspace Property for Structurally Sparse Signals
We propose a new framework for studying the exact recovery of signals wi...
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08/02/2019
Gradient Flows and Accelerated Proximal Splitting Methods
Proximal based methods are well-suited to nonsmooth optimization problem...
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03/11/2019
Conformal Symplectic and Relativistic Optimization
Although momentum-based optimization methods have had a remarkable impac...
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12/24/2018
Dual Principal Component Pursuit: Probability Analysis and Efficient Algorithms
Recent methods for learning a linear subspace from data corrupted by out...
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08/13/2018
Relax, and Accelerate: A Continuous Perspective on ADMM
The acceleration technique first introduced by Nesterov for gradient des...
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03/26/2018
Sparse Recovery over Graph Incidence Matrices: Polynomial Time Guarantees and Location Dependent Performance
Classical results in sparse recovery guarantee the exact reconstruction ...
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07/02/2017
Complexity Analysis of a Trust Funnel Algorithm for Equality Constrained Optimization
A method is proposed for solving equality constrained nonlinear optimiza...
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04/12/2017
Provable Self-Representation Based Outlier Detection in a Union of Subspaces
Many computer vision tasks involve processing large amounts of data cont...
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05/09/2016
Oracle Based Active Set Algorithm for Scalable Elastic Net Subspace Clustering
State-of-the-art subspace clustering methods are based on expressing eac...
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04/20/2016
Trading-Off Cost of Deployment Versus Accuracy in Learning Predictive Models
Predictive models are finding an increasing number of applications in ma...
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07/05/2015