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Spline theory  Academic collection  Surface fitting  Curve fitting.  Mathematics.  Splines  Scientific computation  Joints (Engineering)  Mechanical movements  Harmonic drives  Math  Science  Fitting, Curve  Numerical analysis  Least squares  Smoothing (Numerical analysis)  Statistics  Spline functions  Approximation theory  Interpolation  Graphic methods  Monograph
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Splines, both interpolatory and smoothing, have a long and rich history that has largely been application driven. This book unifies these constructions in a comprehensive and accessible way, drawing from the latest methods and applications to show how they arise naturally in the theory of linear control systems. Magnus Egerstedt and Clyde Martin are leading innovators in the use of control theoretic splines to bring together many diverse applications within a common framework. In this book, they begin with a series of problems ranging from path planning to statistics to approximation. Using the tools of optimization over vector spaces, Egerstedt and Martin demonstrate how all of these problems are part of the same general mathematical framework, and how they are all, to a certain degree, a consequence of the optimization problem of finding the shortest distance from a point to an affine subspace in a Hilbert space. They cover periodic splines, monotone splines, and splines with inequality constraints, and explain how any finite number of linear constraints can be added. This book reveals how the many natural connections between control theory, numerical analysis, and statistics can be used to generate powerful mathematical and analytical tools. This book is an excellent resource for students and professionals in control theory, robotics, engineering, computer graphics, econometrics, and any area that requires the construction of curves based on sets of raw data.
Interpolation.  Smoothing (Numerical analysis)  Smoothing (Statistics)  Curve fitting.  Splines.  Spline theory.  Spline functions  Approximation theory  Interpolation  Joints (Engineering)  Mechanical movements  Harmonic drives  Fitting, Curve  Numerical analysis  Least squares  Statistics  Curve fitting  Graduation (Statistics)  Roundoff errors  Graphic methods
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AA / International internationaal  302  Opmaak en presentatie van statistische reeksen en tabellen. Grafieken.  Curve fitting  Interpolation  Spline theory  519.6  519.6 Computational mathematics. Numerical analysis. Computer programming  Computational mathematics. Numerical analysis. Computer programming  Spline functions  Approximation theory  Fitting, Curve  Numerical analysis  Least squares  Smoothing (Numerical analysis)  Statistics  Graphic methods  Numerical approximation theory  Opmaak en presentatie van statistische reeksen en tabellen. Grafieken
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This work introduces new developments in the construction, analysis, and implementation of parallel computing algorithms. This book presents 23 selfcontained chapters, including surveys, written by distinguished researchers in the field of parallel computing. Each chapter is devoted to some aspects of the subject: parallel algorithms for matrix computations, parallel optimization, management of parallel programming models and data, with the largest focus on parallel scientific computing in industrial applications.Key features include: construction and analysis of parallel algorithms for linear algebra and optimization problems; different aspects of parallel architectures, including distributed memory computers with multicore processors; a wide range of industrial applications: parallel simulation of flows through oil filters as well as in porous and gas media, jet aerodynamics, heat conduction in electrical cables, nonlinear optics processes in tapered lasers, and molecular and cell dynamics.
519.22  Curve fitting  Estimation theory  Estimating techniques  Least squares  Mathematical statistics  Stochastic processes  Fitting, Curve  Numerical analysis  Smoothing (Numerical analysis)  Statistics  519.22 Statistical theory. Statistical models. Mathematical statistics in general  Statistical theory. Statistical models. Mathematical statistics in general  Congresses  Graphic methods  Estimation theory  Industrial engineering  Parallel algorithms  Parallel processing (Electronic computers)  Congresses.  Mathematics  Industrial applications  Numerical approximation theory  Approximation numérique.
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Modeles mathematiques.  Moindres carres  Statistik.  Methode der kleinsten Quadrate.  Mathematical models.  Least squares  Method of least squares  Squares, Least  Curve fitting  Geodesy  Mathematical statistics  Mathematics  Probabilities  Triangulation  Models, Mathematical  Simulation methods  Informatique.  Data processing.  Least squares.  Curve fitting.  Fitting, Curve  Numerical analysis  Smoothing (Numerical analysis)  Statistics  Graphic methods
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Most biologists use nonlinear regression more than any other statistical technique, but there are very few places to learn about curvefitting. This book addresses this relatively focused need of an extraordinarily broad range of scientists.
Biology  Regression analysis.  Nonlinear theories.  Curve fitting.  Fitting, Curve  Numerical analysis  Least squares  Smoothing (Numerical analysis)  Statistics  Nonlinear problems  Nonlinearity (Mathematics)  Calculus  Mathematical analysis  Mathematical physics  Analysis, Regression  Linear regression  Regression modeling  Multivariate analysis  Structural equation modeling  Biological models  Biomathematics  Mathematical models.  Graphic methods
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Least squares.  Triangulation.  Geodesy  Error analysis (Mathematics)  Curve fitting.  Fitting, Curve  Numerical analysis  Least squares  Smoothing (Numerical analysis)  Statistics  Errors, Theory of  Instrumental variables (Statistics)  Mathematical statistics  Degrees of latitude and longitude  Geodetics  Geophysics  Geomatics  Mathematical geography  Surveying  Method of least squares  Squares, Least  Curve fitting  Mathematics  Probabilities  Triangulation  Statistical methods.  Graphic methods
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Numerical approximation theory  Courbes empiriques  Curve fitting  Fitting [Curve]  Spline theory  Splines [Theorie des ]  Splines [Theorie van de ]  519.65  517.518.8  519.6  681.3*G12  681.3*J6  Spline functions  Approximation theory  Interpolation  Fitting, Curve  Numerical analysis  Least squares  Smoothing (Numerical analysis)  Statistics  Approximation. Interpolation  Approximation of functions by polynomials and their generalizations  Computational mathematics. Numerical analysis. Computer programming  Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis)  Computeraided engineering: computeraided design; CAD; computeraided manufacturing; CAM  Graphic methods  681.3*J6 Computeraided engineering: computeraided design; CAD; computeraided manufacturing; CAM  681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis)  519.6 Computational mathematics. Numerical analysis. Computer programming  517.518.8 Approximation of functions by polynomials and their generalizations  519.65 Approximation. Interpolation
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Mathematical statistics  Curve fitting  Least squares  Multivariate analysis  Courbes empiriques  Moindres carrés  Analyse multivariée  Data processing  Informatique  CURVE FITTING  data processing  519.25  Least squares  Multivariate analysis  #ABIB:astp  #SBIB:303H520  #SBIB:303H4  #SBIB:034.GIFTSOC  519.23  681.3  Multivariate distributions  Multivariate statistical analysis  Statistical analysis, Multivariate  Analysis of variance  Matrices  Method of least squares  Squares, Least  Geodesy  Mathematics  Probabilities  Triangulation  Fitting, Curve  Numerical analysis  Smoothing (Numerical analysis)  Statistics  Statistical data handling  Methoden sociale wetenschappen: techniek van de analyse, algemeen  Informatica in de sociale wetenschappen  Graphic methods  Engineering  Operations research  Probability  Data processing.  Engineering.  Operations research.  Probability.  519.25 Statistical data handling  Moindres carrés  Analyse multivariée  #ABIB:astp
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The analysis of experimental data is at heart of science from its beginnings. But it was the advent of digital computers that allowed the execution of highly nonlinear and increasingly complex data analysis procedures  methods that were completely unfeasible before. Nonlinear curve fitting, clustering and machine learning belong to these modern techniques which are a further step towards computational intelligence. The goal of this book is to provide an interactive and illustrative guide to these topics. It concentrates on the road from two dimensional curve fitting to multidimensional clustering and machine learning with neural networks or support vector machines. Along the way topics like mathematical optimization or evolutionary algorithms are touched. All concepts and ideas are outlined in a clear cut manner with graphically depicted plausibility arguments and a little elementary mathematics. The major topics are extensively outlined with exploratory examples and applications. The primary goal is to be as illustrative as possible without hiding problems and pitfalls but to address them. The character of an illustrative cookbook is complemented with specific sections that address more fundamental questions like the relation between machine learning and human intelligence All topics are completely demonstrated with the aid of the commercial computing platform Mathematica and the Computational Intelligence Packages (CIP), a highlevel function library developed with Mathematica's programming language on top of Mathematica's algorithms. CIP is opensource so the detailed code of every method is freely accessible. All examples and applications shown throughout the book may be used and customized by the reader without any restrictions.
Machine learning  Periodicals.  Machine learning.  Computational intelligence  Curve fitting  Cluster analysis  Engineering & Applied Sciences  Computer Science  Science  Curve fitting.  Computational intelligence.  Statistical methods.  Intelligence, Computational  Learning, Machine  Fitting, Curve  Engineering.  Artificial intelligence.  Applied mathematics.  Engineering mathematics.  Computational Intelligence.  Artificial Intelligence (incl. Robotics).  Appl.Mathematics/Computational Methods of Engineering.  Artificial intelligence  Soft computing  Engineering  Engineering analysis  Mathematical analysis  AI (Artificial intelligence)  Artificial thinking  Electronic brains  Intellectronics  Intelligence, Artificial  Intelligent machines  Machine intelligence  Thinking, Artificial  Bionics  Cognitive science  Digital computer simulation  Electronic data processing  Logic machines  Machine theory  Selforganizing systems  Simulation methods  Fifth generation computers  Neural computers  Construction  Industrial arts  Technology  Mathematics  Numerical analysis  Least squares  Smoothing (Numerical analysis)  Statistics  Graphic methods  Artificial Intelligence.  Mathematical and Computational Engineering.
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