Results 61 to 70 of about 681,860 (297)
Zeroth-Order Riemannian Adaptive Regularized Proximal Quasi-Newton Optimization Method
AxiomsRecently, the adaptive regularized proximal quasi-Newton (ARPQN) method has demonstrated a strong performance in solving composite optimization problems over the Stiefel manifold.
Yinpu Ma +3 more
doaj +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
The Hybrid BFGS-CG Method in Solving Unconstrained Optimization Problems
Abstract and Applied Analysis, 2014 In solving large scale problems, the quasi-Newton method is known as the most efficient method in solving unconstrained optimization problems. Hence, a new hybrid method, known as the BFGS-CG method, has been created based on these properties, combining ...
Mohd Asrul Hery Ibrahim +2 more
doaj +1 more source
SMOOTH QUASI-NEWTON METHODS FOR NONSMOOTH OPTIMIZATION [PDF]
, 2018 The success of Newton’s method for smooth optimization, when Hessians are available, motivated the idea of quasi-Newton methods, which approximate Hessians in response to changes in gradients and result in superlinear convergence on smooth functions ...
Guo, Jiayi
core +1 more source
Ultrafast Transitions in X‐Ray Irradiated Solids
Contributions to Plasma Physics, EarlyView.ABSTRACT In this review, we present current developments on modeling ultrafast transitions in solids triggered by intense, atto‐ to femtosecond pulses from X‐ray free electron lasers. This specific irradiation regime requires dedicated simulation tools based on theoretical and computational methods, involving the elements of classical and quantum ...
Sebastião Antunes +3 more
wiley +1 more source
Quasi-ordinary singularities and Newton trees
, 2013 32 pagesInternational audienceIn this paper we study some properties of the class of nu-quasi-ordinary hypersurface singularities. They are defined by a very mild condition on its (projected) Newton polygon.
Artal Bartolo, Enrique +6 more
core +1 more source
A new type of quasi-newton updating formulas based on the new quasi-newton equation
Numerical Algebra, Control & Optimization, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Review and prospects of shear test of bolted rock joints
Deep Underground Science and Engineering, EarlyView.The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren +4 more
wiley +1 more source
Representing Symmetric Rank Two Updates [PDF]
Various quasi-Newton methods periodically add a symmetric "correction" matrix of rank at most 2 to a matrix approximating some quantity A of interest (such as the Hessian of an objective function).
David M. Gay
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Análise e desenvolvimento de metodologias corretivas para a restauração da solução das equações da rede elétrica [PDF]
, 2001 Tese (doutorado) - Universidade Federal de Santa Catarina, Centro Tecnológico.Aborda a análise e o desenvolvimento de metodologias corretivas para a restauração da solução das equações do fluxo de potência de um sistema de energia elétrica.
Barboza, Luciano Vitoria
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