Riemannian proximal gradient methods (Q2149554)

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Language	Label	Description	Also known as
English	Riemannian proximal gradient methods	scientific article

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scholarly article

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Riemannian proximal gradient methods (English)

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Mathematical Programming. Series A. Series B

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publication date

29 June 2022

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full work available at URL

https://arxiv.org/abs/1909.06065

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zbMATH Keywords

Riemannian proximal gradient

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Riemannian optimization

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Stiefel manifold

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oblique manifold

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sparse PCA

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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An Extrinsic Look at the Riemannian Hessian

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Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality

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Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods

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A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems

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First-Order Methods in Optimization

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Iteration-complexity of gradient, subgradient and proximal point methods on Riemannian manifolds

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The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems

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Clarke Subgradients of Stratifiable Functions

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Proximal alternating linearized minimization for nonconvex and nonsmooth problems

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Simple algorithms for optimization on Riemannian manifolds with constraints

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Global rates of convergence for nonconvex optimization on manifolds

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Proximal Gradient Method for Nonsmooth Optimization over the Stiefel Manifold

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An Augmented Lagrangian Method for $\ell_{1}$-Regularized Optimization Problems with Orthogonality Constraints

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Self-contracted curves in Riemannian manifolds

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Computing Riemannian center of mass on Hadamard manifolds

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Proximal Point Algorithm On Riemannian Manifolds

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Weakly Correlated Sparse Components with Nearly Orthonormal Loadings

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Accelerated gradient methods for nonconvex nonlinear and stochastic programming

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\(\varepsilon\)-subgradient algorithms for locally Lipschitz functions on Riemannian manifolds

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Nonsmooth trust region algorithms for locally Lipschitz functions on Riemannian manifolds

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Line Search Algorithms for Locally Lipschitz Functions on Riemannian Manifolds

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Generalized gradients and characterization of epi-Lipschitz sets in Riemannian manifolds

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A Riemannian Gradient Sampling Algorithm for Nonsmooth Optimization on Manifolds

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A Broyden Class of Quasi-Newton Methods for Riemannian Optimization

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Proof of the gradient conjecture of R. Thom.

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Pointwise convergence of gradient‐like systems

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A splitting method for orthogonality constrained problems

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Introduction to Riemannian Manifolds

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Functional and shape data analysis

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10107-021-01632-3

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Sitelinks

Mathematics(1 entry)

mardi Publication:2149554

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