Results 11 to 20 of about 681,860 (297)
An improved quasi-Newton equation on the quasi-Newton methods for unconstrained optimizations
<span><span>Quasi-Newton methods are a class of numerical methods for </span>solving the problem of unconstrained optimization. To improve the overall efficiency of resulting algorithms, we use the quasi-Newton methods which is interesting for quasi-Newton equation.
Hassan, Basim A. +4 more
openaire +4 more sources
Quasi-Newton Methods: A New Direction [PDF]
ICML2012
Hennig, P., Kiefel, M.
openaire +8 more sources
Correlation and realization of quasi-Newton methods of absolute optimization [PDF]
Newton and quasi-Newton methods of absolute optimization based on Cholesky factorization with adaptive step and finite difference approximation of the first and the second derivatives.
Anastasiya Borisovna Sviridenko +1 more
doaj +1 more source
THE NEW RANK ONE CLASS FOR UNCONSTRAINED PROBLEMS SOLVING
One of the most well-known methods for unconstrained problems is the quasi-Newton approach, iterative solutions. The great precision and quick convergence of the quasi-Newton methods are well recognized. In this work, the new algorithm for the symmetric
Ahmed Mustafa
doaj +1 more source
Decentralized Quasi-Newton Methods [PDF]
We introduce the decentralized Broyden-Fletcher-Goldfarb-Shanno (D-BFGS) method as a variation of the BFGS quasi-Newton method for solving decentralized optimization problems. The D-BFGS method is of interest in problems that are not well conditioned, making first order decentralized methods ineffective, and in which second order information is not ...
Mark Eisen +2 more
openaire +2 more sources
On the Convergence Rate of Quasi-Newton Methods on Strongly Convex Functions with Lipschitz Gradient
The main results of the study of the convergence rate of quasi-Newton minimization methods were obtained under the assumption that the method operates in the region of the extremum of the function, where there is a stable quadratic representation of the ...
Vladimir Krutikov +3 more
doaj +1 more source
Enhancing Quasi-Newton Acceleration for Fluid-Structure Interaction
We propose two enhancements of quasi-Newton methods used to accelerate coupling iterations for partitioned fluid-structure interaction. Quasi-Newton methods have been established as flexible, yet robust, efficient and accurate coupling methods of multi ...
Kyle Davis +2 more
doaj +1 more source
A New Globally Convergent Self-Scaling Vm Algorithm for Convex and Nonconvex Optimization [PDF]
In unconstrained optimization, the original quasi-Newton condition where is the difference of the gradients at two successive iterations. Li and Fukushima proposed a modified BFGS methods based on a new Quasi –Newton equation where , where is a
Abbas Y. AL-Bayati, Basim A. Hassan
doaj +1 more source
Faster Stochastic Quasi-Newton Methods [PDF]
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
Asymptotic optimality of the quasi-score estimator in a class of linear score estimators [PDF]
We prove that the quasi-score estimator in a mean-variance model is optimal in the class of (unbiased) linear score estimators, in the sense that the difference of the asymptotic covariance matrices of the linear score and quasi-score estimator is ...
Kukush, Alexander, Schneeweiß, Hans
core +1 more source

