Nonlinear Estimation and Classification

Nonlinear Estimation and Classification
Author: David D. Denison
Publisher: Springer Science & Business Media
Total Pages: 465
Release: 2013-11-11
Genre: Mathematics
ISBN: 0387215794
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Researchers in many disciplines face the formidable task of analyzing massive amounts of high-dimensional and highly-structured data. This is due in part to recent advances in data collection and computing technologies. As a result, fundamental statistical research is being undertaken in a variety of different fields. Driven by the complexity of these new problems, and fueled by the explosion of available computer power, highly adaptive, non-linear procedures are now essential components of modern "data analysis," a term that we liberally interpret to include speech and pattern recognition, classification, data compression and signal processing. The development of new, flexible methods combines advances from many sources, including approximation theory, numerical analysis, machine learning, signal processing and statistics. The proposed workshop intends to bring together eminent experts from these fields in order to exchange ideas and forge directions for the future.

Nonlinear Approaches in Engineering Applications

Nonlinear Approaches in Engineering Applications
Author: Liming Dai
Publisher: Springer
Total Pages: 472
Release: 2018-01-29
Genre: Technology & Engineering
ISBN: 3319694804
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This book analyzes the updated principles and applications of nonlinear approaches to solve engineering and physics problems. The knowledge on nonlinearity and the comprehension of nonlinear approaches are inevitable to future engineers and scientists, making this an ideal book for engineers, engineering students, and researchers in engineering, physics, and mathematics. Chapters are of specific interest to readers who seek expertise in optimization, nonlinear analysis, mathematical modeling of complex forms, and non-classical engineering problems. The book covers methodologies and applications from diverse areas such as vehicle dynamics, surgery simulation, path planning, mobile robots, contact and scratch analysis at the micro and nano scale, sub-structuring techniques, ballistic projectiles, and many more.

Classification, Parameter Estimation and State Estimation

Classification, Parameter Estimation and State Estimation
Author: Ferdinand van der Heijden
Publisher: John Wiley & Sons
Total Pages: 440
Release: 2005-06-10
Genre: Science
ISBN: 0470090146
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Classification, Parameter Estimation and State Estimation is a practical guide for data analysts and designers of measurement systems and postgraduates students that are interested in advanced measurement systems using MATLAB. 'Prtools' is a powerful MATLAB toolbox for pattern recognition and is written and owned by one of the co-authors, B. Duin of the Delft University of Technology. After an introductory chapter, the book provides the theoretical construction for classification, estimation and state estimation. The book also deals with the skills required to bring the theoretical concepts to practical systems, and how to evaluate these systems. Together with the many examples in the chapters, the book is accompanied by a MATLAB toolbox for pattern recognition and classification. The appendix provides the necessary documentation for this toolbox as well as an overview of the most useful functions from these toolboxes. With its integrated and unified approach to classification, parameter estimation and state estimation, this book is a suitable practical supplement in existing university courses in pattern classification, optimal estimation and data analysis. Covers all contemporary main methods for classification and estimation. Integrated approach to classification, parameter estimation and state estimation Highlights the practical deployment of theoretical issues. Provides a concise and practical approach supported by MATLAB toolbox. Offers exercises at the end of each chapter and numerous worked out examples. PRtools toolbox (MATLAB) and code of worked out examples available from the internet Many examples showing implementations in MATLAB Enables students to practice their skills using a MATLAB environment

Decision Forests

Decision Forests
Author: Antonio Criminisi
Publisher: Foundations and Trends(r) in C
Total Pages: 162
Release: 2012-03
Genre: Computers
ISBN: 9781601985408
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Presents a unified, efficient model of random decision forests which can be used in a number of applications such as scene recognition from photographs, object recognition in images, automatic diagnosis from radiological scans and document analysis.

Nonlinear Modeling

Nonlinear Modeling
Author: Johan A. K. Suykens
Publisher: Springer Science & Business Media
Total Pages: 284
Release: 1998-06-30
Genre: Language Arts & Disciplines
ISBN: 9780792381952
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This collection of eight contributions presents advanced black-box techniques for nonlinear modeling. The methods discussed include neural nets and related model structures for nonlinear system identification, enhanced multi-stream Kalman filter training for recurrent networks, the support vector method of function estimation, parametric density estimation for the classification of acoustic feature vectors in speech recognition, wavelet based modeling of nonlinear systems, nonlinear identification based on fuzzy models, statistical learning in control and matrix theory, and nonlinear time- series analysis. The volume concludes with the results of a time- series prediction competition held at a July 1998 workshop in Belgium. Annotation copyrighted by Book News, Inc., Portland, OR.

Nonlinear Estimation in Continuous Time Systems

Nonlinear Estimation in Continuous Time Systems
Author: Paul Arthur Frost
Publisher:
Total Pages: 184
Release: 1968
Genre: Estimation theory
ISBN:
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The nonlinear estimation of continuous time nonstationary signals contained in additive Gaussian white noise is considered in this study. The theory presented is more general than former studies and most previously known results are easily obtained as special cases, including the Kalman-Bucy theory and the Stratonovich-Kushner equations. A new approach to continuous time estimation is developed which is in the same spirit as the Bode-Shannon approach to Wiener filter theory. It is shown, for the first time, that nonstationary continuous time processes containing additive Gaussian white noise can be transformed causally into an 'innovation process, ' or equivalently, a Gaussian white noise. This innovation process contains all of the information of the original process and consequently nonlinear estimators can be designed to operate on the innovations rather than on the original observations. This approach leads to a number of new descriptions of nonlinear estimators; the two most useful are a stochastic integral representation and an infinite orthogonal series representation. One of the important properties of the series description is that the series can be terminated after any specified number of terms, yielding a suboptimal nonlinear estimator and the remainder of the series can be summed and expressed in closed form. The innovation process approach is developed for nonstationary linear estimation as well as nonlinear estimation and a close correspondence between these two theories is demonstrated. Some new contributions to linear estimation theory are presented, including a proof of the causal invertibility of Kalman filters and a simple derivation of linear smoothing algorithms. (Author).

From Statistics to Neural Networks

From Statistics to Neural Networks
Author: Vladimir Cherkassky
Publisher: Springer Science & Business Media
Total Pages: 414
Release: 2012-12-06
Genre: Computers
ISBN: 3642791190
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The NATO Advanced Study Institute From Statistics to Neural Networks, Theory and Pattern Recognition Applications took place in Les Arcs, Bourg Saint Maurice, France, from June 21 through July 2, 1993. The meeting brought to gether over 100 participants (including 19 invited lecturers) from 20 countries. The invited lecturers whose contributions appear in this volume are: L. Almeida (INESC, Portugal), G. Carpenter (Boston, USA), V. Cherkassky (Minnesota, USA), F. Fogelman Soulie (LRI, France), W. Freeman (Berkeley, USA), J. Friedman (Stanford, USA), F. Girosi (MIT, USA and IRST, Italy), S. Grossberg (Boston, USA), T. Hastie (AT&T, USA), J. Kittler (Surrey, UK), R. Lippmann (MIT Lincoln Lab, USA), J. Moody (OGI, USA), G. Palm (U1m, Germany), B. Ripley (Oxford, UK), R. Tibshirani (Toronto, Canada), H. Wechsler (GMU, USA), C. Wellekens (Eurecom, France) and H. White (San Diego, USA). The ASI consisted of lectures overviewing major aspects of statistical and neural network learning, their links to biological learning and non-linear dynamics (chaos), and real-life examples of pattern recognition applications. As a result of lively interactions between the participants, the following topics emerged as major themes of the meeting: (1) Unified framework for the study of Predictive Learning in Statistics and Artificial Neural Networks (ANNs); (2) Differences and similarities between statistical and ANN methods for non parametric estimation from examples (learning); (3) Fundamental connections between artificial learning systems and biological learning systems.

A Distribution-Free Theory of Nonparametric Regression

A Distribution-Free Theory of Nonparametric Regression
Author: László Györfi
Publisher: Springer Science & Business Media
Total Pages: 662
Release: 2006-04-18
Genre: Mathematics
ISBN: 0387224424
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This book provides a systematic in-depth analysis of nonparametric regression with random design. It covers almost all known estimates. The emphasis is on distribution-free properties of the estimates.