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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...

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...

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...

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...

The classical filtering and prediction problem is re-examined using the Bode-Shannon representation of random processes and the “state-transition” method of analysis of dynamic systems. New results are: (1) The formu...

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...

The newly inaugurated Research Resource for Complex Physiologic Signals, which was created under the auspices of the National Center for Research Resources of the National Institutes of Health, is intended to stimulate c...

A sensitive single-beam technique for measuring both the nonlinear refractive index and nonlinear absorption coefficient for a wide variety of materials is reported. The authors describe the experimental details and pres...

We propose a flexible technique to easily calibrate a camera. It only requires the camera to observe a planar pattern shown at a few (at least two) different orientations. Either the camera or the planar pattern can be f...

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

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

Materias / palabras clave: nonlinear analysis, nonlinear functional analysis, differential equations, integral equations; Science: Mathematics: Analysis

Materias / palabras clave: banach algebra, complex analysis, frame and wavelet theory, functional analysis and operator theory, fuzzy analysis, nonlinear analysis; Science: Mathematics

Materias / palabras clave: scaling and multifractals, predictability, nonlinear waves, turbulence and diffusion, chaos and nonlinear time series analysis, nonlinear systems and dynamics; Science: Physics: Geophysics. Cosmic physics

Materias / palabras clave: nonlinear mathematical physics, nonlinear continuous and discrete equations of mathematical physics, integrability and non-integrability of continuous and discrete systems, painlevé analysis, geometry of soliton equatio...