Results 21 to 30 of about 681,860 (297)

Deep Neural Networks Training by Stochastic Quasi-Newton Trust-Region Methods

open access: yesAlgorithms, 2023
While first-order methods are popular for solving optimization problems arising in deep learning, they come with some acute deficiencies. To overcome these shortcomings, there has been recent interest in introducing second-order information through quasi-
Mahsa Yousefi, Ángeles Martínez
doaj   +1 more source

Hybrid Newton-type method for a class of semismooth equations [PDF]

open access: yes, 2002
In this paper, we present a hybrid method for the solution of a class of composite semismooth equations encountered frequently in applications. The method is obtained by combining a generalized finite-difference Newton method to an inexpensive direct ...
Pieraccini, Sandra
core   +1 more source

Accelerating Symmetric Rank-1 Quasi-Newton Method with Nesterov’s Gradient for Training Neural Networks

open access: yesAlgorithms, 2021
Gradient-based methods are popularly used in training neural networks and can be broadly categorized into first and second order methods. Second order methods have shown to have better convergence compared to first order methods, especially in solving ...
S. Indrapriyadarsini   +4 more
doaj   +1 more source

Fast Converging Implementation of a Region-Based Active Contour Model

open access: yesJournal of Algorithms & Computational Technology, 2015
PDE-based image segmentation based on the active contour model attracts many researchers due to its high precision of edge detection and the continuity of boundaries.
Haiping Xu, Hanxiang Zheng, Meiqing Wang
doaj   +1 more source

On Partial Cholesky Factorization and a Variant of Quasi-Newton Preconditioners for Symmetric Positive Definite Matrices

open access: yesAxioms, 2018
This work studies limited memory preconditioners for linear symmetric positive definite systems of equations. Connections are established between a partial Cholesky factorization from the literature and a variant of Quasi-Newton type preconditioners ...
Benedetta Morini
doaj   +1 more source

A Newton-Like Trust Region Method for Large-Scale Unconstrained Nonconvex Minimization

open access: yesAbstract and Applied Analysis, 2013
We present a new Newton-like method for large-scale unconstrained nonconvex minimization. And a new straightforward limited memory quasi-Newton updating based on the modified quasi-Newton equation is deduced to construct the trust region subproblem, in ...
Yang Weiwei   +3 more
doaj   +1 more source

Quasi-likelihood functions, generalized linear models, and the Gauss-Newton method

open access: yes, 1974
To define a likelihood we have to specify the form of distribution of the observations, but to define a quasi-likelihood function we need only specify a relation between the mean and variance of the observations and the quasi-likelihood can then be used ...
Wedderburn, R. W. M.
core   +1 more source

Learning to Optimize Quasi-Newton Methods

open access: yesCoRR, 2022
Fast gradient-based optimization algorithms have become increasingly essential for the computationally efficient training of machine learning models. One technique is to multiply the gradient by a preconditioner matrix to produce a step, but it is unclear what the best preconditioner matrix is.
Isaac Liao   +3 more
openaire   +3 more sources

Learning regularized Gauss-Newton methods

open access: yes, 2022
We consider variational networks for a class of nonlinear-ill-posed least squares inverse problems. These problems are addressed by regularized Gauss-Newton type optimization algorithms where the regularization is learned by a neural network.
Francesco Colibazzi   +3 more
core  

Isaac Newton: De Grecia al renacimiento [PDF]

open access: yes, 2022
Notas sobre la obra e historia de Isaac Newton. Este documento, preparado para el Cursos de Contexto en Astronomía de la Universidad Nacional de Colombia sede Manizales, se basa fundamentalmente en un resumen del libro de William Rankim, “Newton para ...
Duque Escobar, Gonzalo
core  

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