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A general non-parametric technique is proposed for the analysis of a complex multimodal feature space and to delineate arbitrarily shaped clusters in it. The basic computational module of the technique is an old pattern ...

The approach described in this paper represents a substantive departure from the conventional quantitative techniques of system analysis. It has three main distinguishing features: 1) use of so-called ``linguistic'' vari...

Materias / palabras clave: Deep learning; Artificial intelligence; Computer science; Segmentation; Field (mathematics); Convolutional neural network; State of art; Image segmentation; Open research; Machine learning; Image (mathematics); Data scie...

Collinearity refers to the non independence of predictor variables, usually in a regression‐type analysis. It is a common feature of any descriptive ecological data set and can be a problem for parameter estimation bec...

Abstract This paper discusses the applicability of statistics to a wide field of problems. Examples of simple and complex distributions are given.

Materias / palabras clave: Conservation law; Riemann hypothesis; Mathematics; Property (philosophy); Riemann problem; Sequence (biology); Construct (python library); Applied mathematics; Matrix (chemical analysis); Order (exchange); Mathematical a...

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...

Materias / palabras clave: Mathematics; Inequality; Matrix (chemical analysis); Algebra over a field; Pure mathematics; Calculus (dental); Mathematical economics; Applied mathematics; Computer science; Mathematical analysis; Materials science; Den...

Materias / palabras clave: Mathematics; Selection (genetic algorithm); Differential equation; Volume (thermodynamics); Applied mathematics; Differential (mechanical device); Mathematical analysis; Calculus (dental); Computer science; Physics; Orth...

Summary We propose the elastic net, a new regularization and variable selection method. Real world data and a simulation study show that the elastic net often outperforms the lasso, while enjoying a similar sparsity of r...

Materias / palabras clave: Mathematics; Linear operators; Characterization (materials science); Pure mathematics; Operator theory; Algebra over a field; Applied mathematics; Mathematical analysis; Physics; Optics; Bounded function

Materias / palabras clave: Mathematics; Series (stratigraphy); Table (database); Order of integration (calculus); Algebra over a field; Mathematical analysis; Pure mathematics; Data mining; Computer science; Biology; Paleontology

Mathematics of Computing -- Miscellaneous.

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...

With the continuous expansion of data availability in many large-scale, complex, and networked systems, such as surveillance, security, Internet, and finance, it becomes critical to advance the fundamental understanding ...

Presents a theoretically very simple, yet efficient, multiresolution approach to gray-scale and rotation invariant texture classification based on local binary patterns and nonparametric discrimination of sample and prot...

Singular integrals are among the most interesting and important objects of study in analysis, one of the three main branches of mathematics. They deal with real and complex numbers and their functions. In this book, Prin...

Elements of Experimentation. Single-Factor Experiments. Two-Factor Experiments. Three-or More-Factor Experiments. Comparison Between Treatment Means. Analysis of Multiobservation Data. Problem Data. Analysis of Data from...

Materias / palabras clave: applied mathematics, mathematics, science, mathematics education, mathematical modelling, mathematical analysis; Science: Mathematics

Materias / palabras clave: finance, mathematics, modeling, numerical analysis, stochastic, machine learning; Social Sciences: Finance; Science: Mathematics

Materias / palabras clave: applied mathematics, differential equations, topology, computational mathematics, mathematical physics; Science: Mathematics: Analysis; Technology: Technology (General): Industrial engineering. Management engineering: Ap...

Materias / palabras clave: computational mathematics, data science, numerical methods, theoretical analysis, machine learning, data mining; Science: Mathematics: Instruments and machines: Electronic computers. Computer science

Materias / palabras clave: applied mathematics, differential equations, dynamical systems, fractional calculus, numerical analysis, probability and statistics; Science: Mathematics: Probabilities. Mathematical statistics; Science: Mathematics: Ins...

Materias / palabras clave: numerical analysis, calculus of variations, algebra, mechanics, dynamical systems, functional analysis; Science: Mathematics: Instruments and machines: Electronic computers. Computer science