Riemannian optimization on unit sphere with \(p\)-norm and its applications

DOI10.1007/s10589-023-00477-0arXiv2202.11597OpenAlexW4367679138MaRDI QIDQ6133300

Hiroyuki Sato

Publication date: 24 July 2023

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.11597

zbMATH Keywords

sphere\(p\)-normRiemannian optimizationLasso regressionbox-constrained optimizationnonnegative PCA

Mathematics Subject Classification ID

Programming in abstract spaces (90C48)

Related Items (1)

A robust, discrete-gradient descent procedure for optimisation with time-dependent PDE and norm constraints

Cites Work

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• A Dai-Yuan-type Riemannian conjugate gradient method with the weak Wolfe conditions
• Tikhonov, Ivanov and Morozov regularization for support vector machine learning
• Simple algorithms for optimization on Riemannian manifolds with constraints
• Riemannian conjugate gradient methods with inverse retraction
• Sufficient descent Riemannian conjugate gradient methods
• Global convergence of Hager-Zhang type Riemannian conjugate gradient method
• Projection-like Retractions on Matrix Manifolds
• Optimization Methods on Riemannian Manifolds and Their Application to Shape Space
• Manopt, a Matlab toolbox for optimization on manifolds
• A Broyden Class of Quasi-Newton Methods for Riemannian Optimization
• Newton's method on Riemannian manifolds and a geometric model for the human spine
• A NOTE ON THE SQUARED SLACK VARIABLES TECHNIQUE FOR NONLINEAR OPTIMIZATION
• A Riemannian BFGS Method Without Differentiated Retraction for Nonconvex Optimization Problems
• Comparing Measures of Sparsity
• Riemannian Conjugate Gradient Methods: General Framework and Specific Algorithms with Convergence Analyses
• Riemannian Optimization and Its Applications
• Riemannian Stochastic Variance Reduced Gradient Algorithm with Retraction and Vector Transport
• A new, globally convergent Riemannian conjugate gradient method

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