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Book
Curve and surface fitting with splines
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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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Abstract

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.


Book
Least squares data fitting with applications
Authors: --- ---
ISBN: 1421408589 9781421408583 1421407868 9781421407869 Year: 2013 Publisher: Baltimore, Md. : Johns Hopkins University Press,

Fitting models to biological data using linear and nonlinear regression : a practical guide to curve fitting
Authors: ---
ISBN: 9780198038344 0198038348 9786610843770 6610843775 1280843772 9781280843778 0195171802 0195171799 9780195171792 9780195171808 0197701086 Year: 2023 Publisher: Oxford : Oxford University Press,

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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.


Book
Curve and surface fitting with splines
Author:
ISBN: 0198534418 Year: 1993 Volume: *1 Publisher: Oxford [England] New York Clarendon Oxford University Press

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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: 3642212794 3642212808 Year: 2011 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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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.


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.

Least squares orthogonal distance fitting of curves and surfaces in space.
Author:
ISBN: 3540239669 3540286276 Year: 2004 Publisher: Berlin Springer

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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.

Keywords

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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