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Book
Curve and surface fitting with splines
Author:
ISBN: 019853440X 9780198534402 Year: 1996 Publisher: Oxford Clarendon

Smoothing techniques for curve estimation
Authors: ---
ISBN: 0387097066 0387097074 3540097066 3540384758 9780387097060 Year: 1979 Volume: 757 Publisher: New York (N.Y.): Springer

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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.

Fitting equations to data : computer analysis of multifactor data
Authors: --- ---
ISBN: 0471053708 9780471053705 Year: 1980 Publisher: New York (N.Y.): Wiley


Book
From Curve Fitting to Machine Learning : An Illustrative Guide to Scientific Data Analysis and Computational Intelligence
Author:
ISBN: 3319325442 3319325450 Year: 2016 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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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).

Keywords

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.

Exponential fitting
Authors: ---
ISBN: 1402020996 1402021003 Year: 2004 Publisher: Dordrecht : Kluwer academic,

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Exponential Fitting is a procedure for an efficient numerical approach of functions consisting of weighted sums of exponential, trigonometric or hyperbolic functions with slowly varying weight functions. This book is the first one devoted to this subject. Operations on the functions described above like numerical differentiation, quadrature, interpolation or solving ordinary differential equations whose solution is of this type, are of real interest nowadays in many phenomena as oscillations, vibrations, rotations, or wave propagation. The authors studied the field for many years and contributed to it. Since the total number of papers accumulated so far in this field exceeds 200 and the fact that these papers are spread over journals with various profiles (such as applied mathematics, computer science, computational physics and chemistry) it was time to compact and to systematically present this vast material. In this book, a series of aspects is covered, ranging from the theory of the procedure up to direct applications and sometimes including ready to use programs. The book can also be used as a textbook for graduate students.

Fitting equations to data : computer analysis of multifactor data for scientist and engineers
Authors: --- ---
ISBN: 0471194603 9780471194606 Year: 1971 Publisher: New York (N.Y.) Wiley

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Keywords

Numerical approximation theory --- Computer. Automation --- Mathematical statistics --- Curve fitting --- Least squares --- Multivariate analysis --- Courbes empiriques --- Moindres carrés --- Analyse multivariée --- Data processing --- Informatique --- CURVE FITTING --- data processing --- Operations Research. --- Probability. --- Engineering. --- 517.9 --- wiskunde --- kanstheorie --- statistiek --- combinatieleer --- -Least squares --- -Multivariate analysis --- -#WWIS:IBM/STAT --- 517.518.8 --- 519.6 --- 681.3*G12 --- 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 --- Engineerings --- Research, Operations --- Decision Theory --- Game Theory --- Information Theory --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 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) --- Graphic methods --- Engineering --- Operations research --- Probability --- Data processing. --- Operations research. --- 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 --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Moindres carrés --- Analyse multivariée --- Operations Research --- #WWIS:IBM/STAT --- Operational Research --- Research, Operational --- Statistique mathématique --- Statistique mathématique --- Analyse factorielle --- Factor analysis --- Statistique mathématique. --- Simulation, Méthodes de --- Curve fitting - Data processing --- Least squares - data processing --- Multivariate analysis - data processing

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