Výsledky vyhledávání - "Optimization problem with orthogonality constraints"

Orthogonal nonnegative matrix factorization problems for clustering: A new formulation and a competitive algorithm Autor Dehghanpour, Ja’far, Mahdavi-Amiri, Nezam

“…Orthogonal Nonnegative Matrix Factorization (ONMF) with orthogonality constraints on a matrix has been found to provide better clustering results over existing…”
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A class of smooth exact penalty function methods for optimization problems with orthogonality constraints Autor Xiao, Nachuan, Liu, Xin, Yuan, Ya-xiang

“…Updating the augmented Lagrangian multiplier by closed-form expression yields efficient first-order infeasible approach for optimization problems with orthogonality constraints…”
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An Efficient Orthonormalization-Free Approach for Sparse Dictionary Learning and Dual Principal Component Pursuit Autor Hu, Xiaoyin, Liu, Xin

“… ) maximization has been proposed to solve SDL, which reshapes the problem to an optimization problem with orthogonality constraints…”
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Parallelizable Algorithms for Optimization Problems with Orthogonality Constraints Autor Gao, Bin, Liu, Xin, Ya-xiang, Yuan

“…To construct a parallel approach for solving optimization problems with orthogonality constraints is usually regarded as an extremely difficult mission, due to the low scalability of the orthonormalization procedure…”
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Matrix Infinitely Divisible Series: Tail Inequalities and Their Applications Autor Zhang, Chao, Gao, Xianjie, Hsieh, Min-Hsiu, Hang, Hanyuan, Tao, Dacheng

“…In this paper, we study tail inequalities of the largest eigenvalue of a matrix infinitely divisible (i.d.) series, which is a finite sum of fixed matrices…”
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Structured learning for unsupervised feature selection with high-order matrix factorization Autor Wang, Shiping, Chen, Jiawei, Guo, Wenzhong, Liu, Genggeng

“…•Present one globally structured learning regularizer via sparse representation.•Establish a new method for optimization problem with orthogonality constraints…”
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Improved Approximation Bound for Quadratic Optimization Problems with Orthogonality Constraints Autor So, Anthony Man-Cho

“…In this paper the authors consider the problem of approximating a class of quadratic optimization problems that contain orthogonality constraints, i.e…”
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Sums of random symmetric matrices and quadratic optimization under orthogonality constraints Autor Nemirovski, Arkadi

“…Let B i be deterministic real symmetric m x m matrices, and xi i be independent random scalars with zero mean and "of order of one" (e.g.,...). We are…”
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A Global Cayley Parametrization of Stiefel Manifold for Direct Utilization of Optimization Mechanisms Over Vector Spaces Autor Kume, Keita, Yamada, Isao

“…Optimization problem with orthogonality constraints, whose feasible region is called the Stiefel manifold, has rich applications in data sciences…”
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Matrix Infinitely Divisible Series: Tail Inequalities and Their Applications Autor Zhang, Chao, Gao, Xianjie, Hsieh, Min-Hsiu, Hanyuan Hang, Tao, Dacheng

“…In this paper, we study tail inequalities of the largest eigenvalue of a matrix infinitely divisible (i.d.) series, which is a finite sum of fixed matrices…”
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A Riemannian gradient ascent algorithm with applications to orthogonal approximation problems of symmetric tensors Autor Sheng, Zhou, Yang, Weiwei, Wen, Jie

“…In this paper, we propose an ascent algorithm by exploiting the Riemannian gradient, which is to solve the optimization problems with orthogonality constraints…”
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A Splitting Method for Orthogonality Constrained Problems Autor Lai, Rongjie, Osher, Stanley

“… In this paper, a splitting method based on Bregman iteration is represented to tackle the optimization problems with orthogonality constraints…”
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Implicit steepest descent algorithm for optimization with orthogonality constraints Autor Oviedo, Harry

“…Optimization problems with orthogonality constraints appear widely in applications from science and engineering…”
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Moment inequalities for sums of random matrices and their applications in optimization Autor So, Anthony Man-Cho

“… optimization problems with orthogonality constraints, has a logarithmic approximation guarantee. This improves…”
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A Penalty-Free Infeasible Approach for a Class of Nonsmooth Optimization Problems Over the Stiefel Manifold Autor Liu, Xin, Xiao, Nachuan, Yuan, Ya-xiang

“…) for a class of optimization problems with orthogonality constraints and nonsmooth regularization term…”
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Projected nonmonotone search methods for optimization with orthogonality constraints Autor Dalmau Cedeño, Oscar Susano, Oviedo Leon, Harry Fernando

“…In this paper, we propose two feasible methods based on projections using a curvilinear search for solving optimization problems with orthogonality constraints…”
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A Non-monotone Adaptive Scaled Gradient Projection Method for Orthogonality Constrained Problems Autor Ji, Quanming, Zhou, Qinghua

“…Optimization problems with orthogonality constraints are classical nonconvex nonlinear problems and have been widely applied in science and engineering…”
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Convex and Non-Convex Optimization Methods for Machine Learning Autor Zohrizadeh, Fariba

“…This dissertation is concerned with modeling fundamental and challenging machine learning tasks as convex/non-convex optimization problems and designing a…”
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Accelerated First-Order Optimization with Orthogonality Constraints Autor Siegel, Jonathan Wolfram

“…Optimization problems with orthogonality constraints have many applications in science and engineering…”
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A Penalty-free Infeasible Approach for a Class of Nonsmooth Optimization Problems over the Stiefel Manifold Autor Xiao, Nachuan, Liu, Xin, Ya-xiang, Yuan

“…Transforming into an exact penalty function model with convex compact constraints yields efficient infeasible approaches for optimization problems with orthogonality constraints. For smooth and \(\ell_{2,1…”
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