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Materias / palabras clave: Ciencias sociales; General; Social Science

Materias / palabras clave: general algebra, algebra in combinatorics, algebra in number theory, algebra in computer science, mathematics; Science: Mathematics

Materias / palabras clave: algebra, algebraic structures, algebraic categories, topological categories; Science: Mathematics

A method of ‘‘natural population analysis’’ has been developed to calculate atomic charges and orbital populations of molecular wave functions in general atomic orbital basis sets. The natural analysis is an alte...

Materias / palabras clave: Support vector machine; Dimension (graph theory); Generalization; Structural risk minimization; Mathematical proof; Computer science; Kernel (algebra); VC dimension; Separable space; Construct (python library); Polynomia...

Materias / palabras clave: Mathematics; Generalization; Fuzzy set; Modal; Set (abstract data type); Algebra over a field; Fuzzy set operations; Discrete mathematics; Fuzzy logic; Pure mathematics; Artificial intelligence; Computer science

In this paper, we discuss consensus problems for networks of dynamic agents with fixed and switching topologies. We analyze three cases: 1) directed networks with fixed topology; 2) directed networks with switching topol...

The authors describe a general-purpose, representation-independent method for the accurate and computationally efficient registration of 3-D shapes including free-form curves and surfaces. The method handles the full six...

The authors introduce an algorithm, called matching pursuit, that decomposes any signal into a linear expansion of waveforms that are selected from a redundant dictionary of functions. These waveforms are chosen in order...

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 ...

Uniform Manifold Approximation and Projection (UMAP) is a dimension reduction technique that can be used for visualisation similarly to t-SNE, but also for general non-linear dimension reduction. UMAP has a rigorous math...

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...

(NOTE: Each chapter begins with an Introduction, and concludes with Exercises and References.) I. GETTING STARTED. 1. Aspects of Multivariate Analysis. Applications of Multivariate Techniques. The Organization of Data. D...

The particle swarm is an algorithm for finding optimal regions of complex search spaces through the interaction of individuals in a population of particles. This paper analyzes a particle's trajectory as it moves in disc...

Materias / palabras clave: topological dynamics, topological algebra, hyperspaces; Science: Mathematics: Analysis

Materias / palabras clave: graph theory, discrete mathematics, combinatorics, algebraic combinatorics, permutation groups; Science: Mathematics: Probabilities. Mathematical statistics; Technology: Technology (General): Industrial engineering. Mana...

Materias / palabras clave: differential equations, computational methods, numerical linear algebra, optimal control; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods

Materias / palabras clave: mathematical analysis, algebra, combinatorics, applied mathematics, computational mathematics; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods; ...

Materias / palabras clave: mathematics, applied mathematics, statistics, algebra, analysis, mathematics education; Education: Education (General); Science: Mathematics

Materias / palabras clave: mathematics, applied mathematics, geometry, algebra; Science: Mathematics; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods

Materias / palabras clave: applied mathematics, mathematical analysis, algebra, geometry, mathematics; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods; Science: Mathematic...

Materias / palabras clave: algebraic logic, boolean-valued fuzzy sets, fuzzy model theory, l-fuzzy sets, rough sets, states of fuzzy structures; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics....