
Robust Recovery via Implicit Bias of Discrepant Learning Rates for Double Overparameterization
Recent advances have shown that implicit bias of gradient descent on ove...
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Recovery and Generalization in OverRealized Dictionary Learning
In over two decades of research, the field of dictionary learning has ga...
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Orthant Based Proximal Stochastic Gradient Method for ℓ_1Regularized Optimization
Sparsityinducing regularization problems are ubiquitous in machine lear...
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Finding the Sparsest Vectors in a Subspace: Theory, Algorithms, and Applications
The problem of finding the sparsest vector (direction) in a low dimensio...
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Analysis of the Optimization Landscapes for Overcomplete Representation Learning
We study nonconvex optimization landscapes for learning overcomplete rep...
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ViewpointAware Loss with Angular Regularization for Person ReIdentification
Although great progress in supervised person reidentification (ReID) h...
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Nonsmooth Optimization over Stiefel Manifold: Riemannian Subgradient Methods
Nonsmooth Riemannian optimization is a still under explored subfield of ...
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A Nonconvex Approach for Exact and Efficient Multichannel Sparse Blind Deconvolution
We study the multichannel sparse blind deconvolution (MCSBD) problem, ...
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Incremental Methods for Weakly Convex Optimization
We consider incremental algorithms for solving weakly convex optimizatio...
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Provable Bregmandivergence based Methods for Nonconvex and NonLipschitz Problems
The (global) Lipschitz smoothness condition is crucial in establishing t...
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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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Dropping Symmetry for Fast Symmetric Nonnegative Matrix Factorization
Symmetric nonnegative matrix factorization (NMF), a special but importan...
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Global Optimality in Distributed Lowrank Matrix Factorization
We study the convergence of a variant of distributed gradient descent (D...
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Nonconvex Robust Lowrank Matrix Recovery
In this paper we study the problem of recovering a lowrank matrix from ...
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The Global Optimization Geometry of Shallow Linear Neural Networks
We examine the squared error loss landscape of shallow linear neural net...
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Convergence Analysis of Alternating Nonconvex Projections
We consider the convergence properties for alternating projection algori...
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ROAST: Rapid Orthogonal Approximate Slepian Transform
In this paper, we provide a Rapid Orthogonal Approximate Slepian Transfo...
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Geometry of Factored Nuclear Norm Regularization
This work investigates the geometry of a nonconvex reformulation of mini...
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Zhihui Zhu
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