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scientific article; zbMATH DE number 7359342

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7359342

Statements

scholarly article

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Maria-Florina Balcan

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David P. Woodruff

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publication date

15 June 2021

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full work available at URL

https://arxiv.org/abs/1704.08683

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zbMATH Keywords

nonconvex optimization

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strong duality

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matrix completion

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robust PCA

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sample complexity

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Noisy matrix decomposition via convex relaxation: optimal rates in high dimensions

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Finding approximate local minima faster than gradient descent

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Katyusha: the first direct acceleration of stochastic gradient methods

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Inapproximability Results for Maximum Edge Biclique, Minimum Linear Arrangement, and Sparsest Cut

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On the combinatorial and algebraic complexity of quantifier elimination

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Strong Duality in Nonconvex Quadratic Optimization with Two Quadratic Constraints

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Robust principal component analysis?

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Exact matrix completion via convex optimization

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The Power of Convex Relaxation: Near-Optimal Matrix Completion

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The convex geometry of linear inverse problems

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Incoherence-Optimal Matrix Completion

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Relations between average case complexity and approximation complexity

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Recovering Low-Rank Matrices From Few Coefficients in Any Basis

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On the $O(1/n)$ Convergence Rate of the Douglas–Rachford Alternating Direction Method

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Introduction to the Theory of Nonlinear Optimization

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Low-rank matrix completion using alternating minimization

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Matrix Completion From a Few Entries

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On the Sum of the Largest Eigenvalues of a Symmetric Matrix

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Weighted low rank approximations with provable guarantees

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A Simpler Approach to Matrix Completion

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On the computational complexity and geometry of the first-order theory of the reals. I: Introduction. Preliminaries. The geometry of semi-algebraic sets. The decision problem for the existential theory of the reals

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On the computational complexity and geometry of the first-order theory of the reals. II: The general decision problem. Preliminaries for quantifier elimination

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Convergence Results for Projected Line-Search Methods on Varieties of Low-Rank Matrices Via Łojasiewicz Inequality

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Augmented Lagrangian alternating direction method for matrix separation based on low-rank factorization

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Complete Dictionary Recovery Over the Sphere I: Overview and the Geometric Picture

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Guaranteed Matrix Completion via Non-Convex Factorization

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Estimation in High Dimensions: A Geometric Perspective

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Solving a low-rank factorization model for matrix completion by a nonlinear successive over-relaxation algorithm

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Completing Low-Rank Matrices With Corrupted Samples From Few Coefficients in General Basis

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Identifiers

zbMATH Open document ID

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10.4230/LIPIcs.ITCS.2018.5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4993268

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