Principal Curves and Surfaces

Linear Principal Components. A linear model formulation. The Principal Curve and Surface models. Theory for principal curves and surfaces. Algorithmic details. Estimation of curves and surfaces. Gold assay pairs. Generalized linear principal components.

Подобные документы

  • Description of a variational graph-theoretic. Brief review of linear graph principles. Generate the equations of motion with elastic deformations, the flexible bodies are discretized using two types of finite elements. Discretize unidirectional bodies.

    статья, добавлен 17.04.2013

  • Regression smoothing, basic idea of smoothing. Smoothing techniques, the speed at which the smooth curve converges. Choosing the smoothing parameter. Data sets with outliers. Looking for qualitative smoothing and incorporating parametric components.

    учебное пособие, добавлен 25.11.2013

  • An optimal boundary control problem associated to the linear parabolic equation. The characteristic feature of this equation, skew-symmetric. A unique solution to the original optimal boundary control problem, singular character of the original matrix.

    статья, добавлен 30.10.2016

  • List of the adopted abbreviations and designations. The complexity of configurations. Architecture – models and their appendices. Extreme constructive possibilities. The complexity of finite configurations. Formal discrete models of self reproduction.

    учебное пособие, добавлен 09.05.2014

  • Separating the foundations of mathematics from philosophy. Difference between the theory of formal systems theory and evidence. Classical first order predicate logic. Elementary and full analysis. Existing proof theory. Infinitely long expressions.

    статья, добавлен 09.09.2012

  • Comparative analysis for the algorithm for solving two-parameter game models. Comparison of the values of the game price and the probabilities of strategies. The accuracy and reliability of the results are analyzed with the help of a numeric example.

    статья, добавлен 11.07.2018

  • Applications of the mathematics of harmony as a new interdisciplinary direction of modern science. Algorithmic measurement theory, number systems with irrational bases and their applications in computer science, the hyperbolic Fibonacci functions.

    статья, добавлен 24.06.2016

  • Provides the analysis of the connection existing between constituent components of a binomial expression. The need to study this connection is predetermined by the lack of a clear distinction between binomials and other types of formulaic language.

    статья, добавлен 09.08.2022

  • The logic of quantification. Non-standart set theories. Typically ambiguous variables. Standardized theory of types. Equate the null classes. Connections with Zermelo's theory. Functional Logic. A motive for unifying universes. Use general variables.

    статья, добавлен 11.09.2012

  • The fundamentals of the theory of automata, formal languages, and regular, context-free grammar. Discussion of the principle of Turing, which formalize the concept of soluble and insoluble problems, the definition of time and space evaluation algorithms.

    книга, добавлен 18.09.2012

  • Using methods of discrete mathematics in the field of virtual isolation and its application in the scientific theory of numbers, groups, combinatorics and graph theory. Specifics arithmetic methods data comparisons. Construction of a matrix atom.

    книга, добавлен 08.03.2014

  • Using a generalized Dunkl translation, we obtain an analog of theorem 5.2 in Younis’ paper for the Dunkl transform for functions satisfying the (d, g)-Dunkl Lipschitz condition in the space L2(R,|x|2a+1dx). Consideration generalized Dunkl translation.

    статья, добавлен 25.03.2016

  • Several aspects of systems theory. Arithmetic of cardinal numbers. Crises of naive set theory. Constructions of ordinal and cardinal number systems. Growth of the polish school of mathematics. Bellman’s principle of optimality and its generalizations.

    книга, добавлен 25.11.2013

  • Consideration of the process of evolution and prospects of mathematical methods and models in economic research. Characterization of advantages and identification of disadvantages of mathematical formalization in the conditions of a new economic paradigm.

    статья, добавлен 31.07.2022

  • Further examples of population dynamics. Representation of real numbers in an arbitrary base. A geometrical model for continued fractions. The idea of computational complexity. Elementary applications of congruence. The fundamental theorem of arithmetic.

    книга, добавлен 08.03.2014

  • Bayesian hierarchical models for data analysis in this context. At the first stage of the model, survival times can he modelled via the Cox partial likelihood, using a justification due to Kalbfleisch. A questionable parametric assumptions are avoided.

    статья, добавлен 10.09.2012

  • Writing interactive math tests in the LaTeX system. Using the system for writing interactive tests on the theory of probabilities in distance learning. Creation of tasks of the type "True/False", "Short answer", "Essay" ("Clarifying the definition").

    статья, добавлен 19.03.2024

  • Definition of artinian-by-(finite rank). Characteristic of features of artinian-by-(finite rank). Study of the structure of generalized soluble groups and nilpotent-by-finite modules. Analysis of the structure of artinian-by-(finite rank) modules.

    статья, добавлен 30.10.2016

  • Consideration of the Shannon's mathematical theory of communication as the technology processing of information. Problems associated with the transmission of messages: eliminate redundancy, perform coding and messaging communication channels with noise.

    статья, добавлен 15.09.2012

  • Subject and method of statistical science. Elements of probability theory. Random variables and their distribution laws. Fundamental of statistical observation. Grouping, consolidated return and data presentation. Basics of averages statistics method.

    учебное пособие, добавлен 24.12.2013

  • Proving of the theorem on a normal limit distribution of the normalized number of false solutions of a beforehand consistent system of nonlinear random equations over the field GF(2) with additional condition on the number of nonzero components.

    статья, добавлен 25.03.2016

  • The theory of the scalar field, directed derivative. The calculation of the line integral. The divergence of vector fields, their properties. Complex numbers and operations with them. The concept of differentiability and analytic function of the complex.

    учебное пособие, добавлен 11.10.2014

  • The importance of research approach to a choice of model and to the search of alternative decisions. Some various methodically important approaches to the decision of elementary problems of search of the minimal speed allowing in "vacuum" conditions.

    статья, добавлен 21.06.2018

  • Properties of Probability Distributions. Conditional Distributions and Expectation. Characteristic Functions, Moments and Cumulants. Parametric Families of Distributions. Distribution Theory for Functions of Random Variables, Approximation of Integrals.

    учебное пособие, добавлен 25.11.2013

  • The discussion about boolean algebras and their application to switching circuits. The rotation groups of the regular solids are investigated. New material on order of an element and cyclic groups, more details about the lattice of divisors of an integer.

    учебное пособие, добавлен 11.10.2014

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