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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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This work introduces new developments in the construction, analysis, and implementation of parallel computing algorithms. This book presents 23 self-contained 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. --- -Congresses --- Approximation numérique --- Numerical analysis. --- Statistique non paramétrique --- -Fitting, Curve --- Estimating techniques --- Approximation et developpements
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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 curve-fitting. 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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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) --- Computer-aided engineering: computer-aided design; CAD; computer-aided manufacturing; CAM --- Graphic methods --- 681.3*J6 Computer-aided engineering: computer-aided design; CAD; computer-aided 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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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 --- Approximation, Théorie de l' --- Géométrie algorithmique --- Approximation, Théorie de l' --- Géométrie algorithmique --- Interpolation (mathématiques)
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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 --- Curve fitting - Data processing --- Least squares - data processing --- Multivariate analysis - data processing
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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 non-linear and increasingly complex data analysis procedures - methods that were completely unfeasible before. Non-linear 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 high-level function library developed with Mathematica's programming language on top of Mathematica's algorithms. CIP is open-source 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 --- Self-organizing 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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This successful book provides in its second edition an interactive and illustrative guide 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 computing platform Mathematica and the Computational Intelligence Packages (CIP), a high-level function library developed with Mathematica's programming language on top of Mathematica's algorithms. CIP is open-source and the detailed code used throughout the book is freely accessible. The target readerships are students of (computer) science and engineering as well as scientific practitioners in industry and academia who deserve an illustrative introduction. Readers with programming skills may easily port or customize the provided code. "'From curve fitting to machine learning' is ... a useful book. ... It contains the basic formulas of curve fitting and related subjects and throws in, what is missing in so many books, the code to reproduce the results. All in all this is an interesting and useful book both for novice as well as expert readers. For the novice it is a good introductory book and the expert will appreciate the many examples and working code." Leslie A. Piegl (Review of the first edition, 2012).
Computer Science --- Mechanical Engineering - General --- Mechanical Engineering --- Engineering & Applied Sciences --- Science --- Curve fitting. --- Machine learning. --- Computational intelligence. --- Statistical methods. --- Intelligence, Computational --- Learning, Machine --- Fitting, Curve --- Artificial intelligence --- Machine theory --- Numerical analysis --- Least squares --- Smoothing (Numerical analysis) --- Statistics --- Soft computing --- Graphic methods --- Artificial intelligence. --- Engineering mathematics. --- Data mining. --- Big data. --- Mathematical optimization. --- Artificial Intelligence. --- Mathematical and Computational Engineering. --- Data Mining and Knowledge Discovery. --- Big Data/Analytics. --- Optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Data sets, Large --- Large data sets --- Data sets --- Algorithmic knowledge discovery --- Factual data analysis --- KDD (Information retrieval) --- Knowledge discovery in data --- Knowledge discovery in databases --- Mining, Data --- Database searching --- Engineering --- Engineering 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 --- Self-organizing systems --- Fifth generation computers --- Neural computers --- Mathematics --- Applied mathematics.
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Due to the continuing progress of sensor technology, the availability of 3-D cameras is already foreseeable. These cameras are capable of generating a large set of measurement points within a very short time. There are a variety of 3-D camera applications in the fields of robotics, rapid product development and digital factories. In order to not only visualize the point cloud but also to recognize 3-D object models from the point cloud and then further process them in CAD systems, efficient and stable algorithms for 3-D information processing are required. For the automatic segmentation and recognition of such geometric primitives as plane, sphere, cylinder, cone and torus in a 3-D point cloud, efficient software has recently been developed at the Fraunhofer IPA by Sung Joon Ahn. This book describes in detail the complete set of ‘best-fit’ algorithms for general curves and surfaces in space which are employed in the Fraunhofer software.
Discrete groups. --- Numeric Computing. --- Computer Graphics. --- Image Processing and Computer Vision. --- Convex and Discrete Geometry. --- Curves, Orthogonal --- Surfaces, Orthogonal --- Curves, Orthogonal. --- Surfaces, Orthogonal. --- Orthogonal surfaces --- Orthogonal curves --- Fitting, Curve --- Computer science. --- Computers. --- Algorithms. --- Numerical analysis. --- Computer graphics. --- Mathematics. --- Algebra. --- Computer Science. --- Theory of Computation. --- Mathematics, general. --- Algorithm Analysis and Problem Complexity. --- Mathematics --- Mathematical analysis --- Math --- Science --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Algorism --- Algebra --- Arithmetic --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- Informatics --- Digital techniques --- Foundations --- Curve fitting. --- Least squares --- Computer programs. --- Curves, Algebraic --- Numerical analysis --- Smoothing (Numerical analysis) --- Statistics --- Graphic methods --- Curve fitting --- Computer programs --- Information theory. --- Electronic data processing. --- Computer software. --- Software, Computer --- ADP (Data processing) --- Automatic data processing --- Data processing --- EDP (Data processing) --- IDP (Data processing) --- Integrated data processing --- Computers --- Office practice --- Communication theory --- Communication --- Automation
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