Results 21 to 30 of about 63,156 (266)

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

open access: yesIEEE 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   +3 more
doaj   +1 more source

The renewal equation in nonlinear approximation

open access: yesМатематичні 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

open access: yesMathematics, 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   +3 more
doaj   +1 more source

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

open access: yesMathematics, 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   +3 more
doaj   +1 more source

Nonlinear Approximations in Cryptanalysis Revisited

open access: yesIACR Transactions on Symmetric Cryptology, 2018
This work studies deterministic and non-deterministic nonlinear approximations for cryptanalysis of block ciphers and cryptographic permutations and embeds it into the well-understood framework of linear cryptanalysis.
Christof Beierle   +2 more
doaj   +1 more source

Nonlinear least squares method

open access: yesCommunications, 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

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

open access: yesJournal 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   +3 more
doaj   +1 more source

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

open access: yesمجلة 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   +1 more
doaj   +1 more source

The Theory and Applications of Hölder Widths

open access: yesAxioms
We introduce the Hölder width, which measures the best error performance of some recent nonlinear approximation methods, such as deep neural network approximation. Then, we investigate the relationship between Hölder widths and other widths, showing that
Man Lu, Peixin Ye
doaj   +1 more source

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

open access: yesEntropy, 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   +4 more
doaj   +1 more source

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