Results 41 to 50 of about 1,099,998 (291)

Non-asymptotic superlinear convergence of standard quasi-Newton methods [PDF]

open access: yesMathematical programming, 2020
In this paper, we study and prove the non-asymptotic superlinear convergence rate of the Broyden class of quasi-Newton algorithms which includes the Davidon–Fletcher–Powell (DFP) method and the Broyden–Fletcher–Goldfarb–Shanno (BFGS) method.
Qiu-Jiang Jin, Aryan Mokhtari
semanticscholar   +1 more source

Faster Stochastic Quasi-Newton Methods [PDF]

open access: yesIEEE Transactions on Neural Networks and Learning Systems, 2022
Stochastic optimization methods have become a class of popular optimization tools in machine learning. Especially, stochastic gradient descent (SGD) has been widely used for machine learning problems such as training neural networks due to low per-iteration computational complexity.
Qingsong Zhang   +3 more
openaire   +3 more sources

Distributed Quasi-Newton Method for Multi-Agent Optimization [PDF]

open access: yesIEEE Transactions on Signal Processing
We present a distributed quasi-Newton (DQN) method, which enables a group of agents to compute an optimal solution of a separable multi-agent optimization problem locally using an approximation of the curvature of the aggregate objective function.
Olaoluwa Shorinwa, Mac Schwager
semanticscholar   +1 more source

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

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 new class of self-scaling for quasi-newton method based on the quadratic model

open access: yes, 2021
Quasi-Newton method is an efficient method for solving unconstrained optimization problems. Self-scaling is one of the common approaches in the modification of the quasi-Newton method.
Basim A. Hassan, Ranen M. Sulaiman
semanticscholar   +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

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