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Subjects / keywords: banach algebra, complex analysis, frame and wavelet theory, functional analysis and operator theory, fuzzy analysis, nonlinear analysis; Science: Mathematics

Subjects / keywords: numerical analysis, ordinary and partial differential equations, optimization theory, control theory, linear and nonlinear functional analysis, classical analysis; Science: Mathematics

Subjects / keywords: mathematics, nonlinear phenomena, fixed point analysis; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods; Science: Mathematics: Analysis

Subjects / keywords: Science: Mathematics: Analysis

Subjects / keywords: Science: Mathematics: Analysis

Subjects / keywords: Science: Mathematics: Analysis

Math anxiety undermines students’ motivation and achievement and is a pervasive challenge in mathematics education. Although prior studies have shown that cognitively demanding instruction is associated with lower anxi...

The Gray-Scott (GS) model is a nonlinear reaction diffusion system widely used in applied sciences. This paper delves into the investigation of a spectral method for the GS model with homogeneous Neumann boundary conditi...

Many areas of science depend on exploratory data analysis and visualization. The need to analyze large amounts of multivariate data raises the fundamental problem of dimensionality reduction: how to discover compact repr...

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Scientists working with large volumes of high-dimensional data, such as global climate patterns, stellar spectra, or human gene distributions, regularly confront the problem of dimensionality reduction: finding meaningfu...

Previous article Next article An Algorithm for Least-Squares Estimation of Nonlinear ParametersDonald W. MarquardtDonald W. Marquardthttps://doi.org/10.1137/0111030PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport Ci...

Basic Prerequisite Knowledge. Fitting a Straight Line by Least Squares. Checking the Straight Line Fit. Fitting Straight Lines: Special Topics. Regression in Matrix Terms: Straight Line Case. The General Regression Situa...

Preface 1. Introduction. Problems to be considered Characteristics of 'real-world' problems Finite-precision arithmetic and measurement of error Exercises 2. Nonlinear Problems in One Variable. What is not possible Newto...

Finite systems of deterministic ordinary nonlinear differential equations may be designed to represent forced dissipative hydrodynamic flow. Solutions of these equations can be identified with trajectories in phase space...

Subjects / keywords: Dimensionality reduction; Computer science; Nonlinear dimensionality reduction; Mass cytometry; Visualization; Reduction (mathematics); Benchmarking; Data mining; Principal component analysis; Curse of dimensionality; Pa...

Subjects / keywords: Mathematics; Lag; Applied mathematics; Inference; Nonlinear system; Asymptotic analysis; Econometrics; Statistical inference; Statistics; Computer science; Physics; Quantum mechanics

Previous article Next article Fractional Brownian Motions, Fractional Noises and ApplicationsBenoit B. Mandelbrot and John W. Van NessBenoit B. Mandelbrot and John W. Van Nesshttps://doi.org/10.1137/1010093PDFBibTexSecti...

We derive a new self-organizing learning algorithm that maximizes the information transferred in a network of nonlinear units. The algorithm does not assume any knowledge of the input distributions, and is defined here f...

Artificial neural net models have been studied for many years in the hope of achieving human-like performance in the fields of speech and image recognition. These models are composed of many nonlinear computational eleme...

This book provides the most comprehensive treatment to date of microeconometrics, the analysis of individual-level data on the economic behavior of individuals or firms using regression methods for cross section and pane...

We make an analogy between images and statistical mechanics systems. Pixel gray levels and the presence and orientation of edges are viewed as states of atoms or molecules in a lattice-like physical system. The assignmen...

Subjects / keywords: nonlinear processes, nonlinear phenomena, nonlinear modelling, nonlinear analysis modelling, nonlinear analysis control; Science: Mathematics: Analysis

Subjects / keywords: nonlinear analysis, partial differential equations, non-smooth analysis, bifurcation theory, generalized differentiability, set-valued functions; Science: Mathematics: Analysis