Results 21 to 30 of about 71,359 (311)

Echo-State Restricted Boltzmann Machines: A Perspective on Information Compensation

IEEE Access, 2019
Feature learning has been introduced in the modeling of echo state networks (ESNs). However, the procedure of feature learning is generally accompanied by certain information loss.
Xiaochuan Sun, Yingqi Li, Guan Gui, Hikmet Sari   +3 more
doaj   +1 more source

Nonlinear quasi-normal modes: uniform approximation

Journal of High Energy Physics, 2023
Recent works have suggested that nonlinear (quadratic) effects in black hole perturbation theory may be important for describing a black hole ringdown.
Bruno Bucciotti, Adrien Kuntz, Francesco Serra, Enrico Trincherini   +3 more
doaj   +1 more source

Nonlinear Approximation by $q$-Favard-Sz{\'a}sz-Mirakjan Operators of Max-Product Kind

Communications in Advanced Mathematical Sciences, 2023
In this study, nonlinear $q$-Favard-Sz{\'a}sz-Mirakjan operators of max-product kind are defined and approximation properties of these operators are investigated. Classical approximation and $A$-statistical approximation theorems are given.
Ecem Acar, Döne Karahan
doaj   +1 more source

The renewal equation in nonlinear approximation

Математичні Студії, 2021
The family of Markov processes are considered in the article. We study the multidimensional renewal equation in nonlinear approximation. The purpose of the work is to find the limit of renewal function.
O.A. Yarova, Ya.I. Yeleyko
doaj   +1 more source

An Iterative Method Based on the Marginalized Particle Filter for Nonlinear B-Spline Data Approximation and Trajectory Optimization

Mathematics, 2019
The B-spline function representation is commonly used for data approximation and trajectory definition, but filter-based methods for nonlinear weighted least squares (NWLS) approximation are restricted to a bounded definition range.
Jens Jauch, Felix Bleimund, Michael Frey, Frank Gauterin   +3 more
doaj   +1 more source

A Meshfree Approach for Solving Fractional Galilei Invariant Advection–Diffusion Equation through Weighted–Shifted Grünwald Operator

Mathematics, 2022
Fractional Galilei invariant advection–diffusion (GIADE) equation, along with its more general version that is the GIADE equation with nonlinear source term, is discretized by coupling weighted and shifted Grünwald difference approximation formulae and ...
Farzaneh Safari, Qingshan Tong, Zhen Tang, Jun Lu   +3 more
doaj   +1 more source

Nonlinear least squares method

Communications, 1999
The paper deals with a comparison of linear and nonlinear least squares approximation. Its aim is to show that the well known transformations of nonlinear dependencies on linear dependencies do not always give exact results.
Jaromír Máca, Bohus Leitner
doaj   +1 more source

Nonlinear Ritz Approximation for the Camassa-Holm Equation by Using the Modify Lyapunov-Schmidt method

مجلة بغداد للعلوم, 2023
            In this work, the modified Lyapunov-Schmidt reduction is used to find a nonlinear Ritz approximation of Fredholm functional defined by the nonhomogeneous Camassa-Holm equation and Benjamin-Bona-Mahony.
hadeel G. Abd Ali, Mudhir A. Abdul Hussain   +1 more
doaj   +1 more source

New a posteriori error estimates for hp version of finite element methods of nonlinear parabolic optimal control problems

Journal of Inequalities and Applications, 2016
In this paper, we investigate residual-based a posteriori error estimates for the hp version of the finite element approximation of nonlinear parabolic optimal control problems.
Zuliang Lu, Hongyan Liu, Chunjuan Hou, Longzhou Cao   +3 more
doaj   +1 more source

The Effects of Padé Numerical Integration in Simulation of Conservative Chaotic Systems

Entropy, 2019
In this paper, we consider nonlinear integration techniques, based on direct Padé approximation of the differential equation solution, and their application to conservative chaotic initial value problems.
Denis Butusov, Artur Karimov, Aleksandra Tutueva, Dmitry Kaplun, Erivelton G. Nepomuceno   +4 more
doaj   +1 more source