Results 11 to 20 of about 3,102,564 (352)

Method of Constructing a Nonlinear Approximating Scheme of a Complex Signal: Application Pattern Recognition

Mathematics, 2021
A method for identification of structures of a complex signal and noise suppression based on nonlinear approximating schemes is proposed. When we do not know the probability distribution of a signal, the problem of identifying its structures can be ...
Oksana Mandrikova, Bogdana Mandrikova, Anastasia Rodomanskay   +2 more
doaj   +1 more source

Nonlinear approximation using Gaussian kernels [PDF]

Journal of Functional Analysis, 2009
15 Pages; corrected typos; to appear in J.
T. Hangelbroek, A. Ron
semanticscholar   +4 more sources

Deep Residual Learning for Nonlinear Regression

Entropy, 2020
Deep learning plays a key role in the recent developments of machine learning. This paper develops a deep residual neural network (ResNet) for the regression of nonlinear functions.
Dongwei Chen, Fei Hu, Guokui Nian, Tiantian Yang   +3 more
doaj   +1 more source

Solving Chance-Constrained Problems via a Smooth Sample-Based Nonlinear Approximation [PDF]

SIAM Journal on Optimization, 2019
We introduce a new method for solving nonlinear continuous optimization problems with chance constraints. Our method is based on a reformulation of the probabilistic constraint as a quantile function.
Alejandra Pena-Ordieres, James R. Luedtke, A. Wächter   +2 more
semanticscholar   +1 more source

Numerical approximation of nonlinear SPDE’s

Stochastics and Partial Differential Equations: Analysis and Computations, 2022
AbstractThe numerical analysis of stochastic parabolic partial differential equations of the form $$\begin{aligned} du + A(u)\, dt = f \,dt + g \, dW, \end{aligned}$$ d u
Martin Ondreját, Andreas Prohl, Noel J. Walkington   +2 more
openaire   +4 more sources

Nonlinear Bivariate Bernstein–Chlodowsky Operators of Maximum Product Type

Journal of Mathematics, 2022
The positive nonlinear operators with maximum and product were introduced by Bede. In this study, nonlinear maximum product type of bivariate Bernstein–Chlodowsky operators is defined and the approximation properties are investigated with the help of new
Özge Özalp Güller, Ecem Acar, Sevilay Kırcı Serenbay   +2 more
doaj   +1 more source

Nonlinear Approximation Theory

, 1986
D. Braess
semanticscholar   +2 more sources

A fourth-order approximation Rayleigh-Plesset equation written in volume variation for an adiabatic-gas bubble in an ultrasonic field: Derivation and numerical solution

Results in Physics, 2021
The derivation of a nonlinear ordinary differential equation for modeling the nonlinear oscillations of a gas bubble placed in an ultrasonic field is performed in terms of bubble-volume variations up to the fourth-order approximation.
Christian Vanhille
doaj   +1 more source

Some Novel Solutions to a Quadratically Damped Pendulum Oscillator: Analytical and Numerical Approximations

Complexity, 2022
In this paper, some novel analytical and numerical techniques are introduced for solving and analyzing nonlinear second-order ordinary differential equations (ODEs) that are associated to some strongly nonlinear oscillators such as a quadratically damped
Alvaro H. Salas, Wedad Albalawi, M. R. Alharthi, S. A. El-Tantawy   +3 more
doaj   +1 more source

Machine Learning Approximation Algorithms for High-Dimensional Fully Nonlinear Partial Differential Equations and Second-order Backward Stochastic Differential Equations [PDF]

Journal of nonlinear science, 2017
High-dimensional partial differential equations (PDEs) appear in a number of models from the financial industry, such as in derivative pricing models, credit valuation adjustment models, or portfolio optimization models. The PDEs in such applications are
C. Beck, Weinan E, Arnulf Jentzen
semanticscholar   +1 more source