Total Least Squares and Errors-in-Variables Modeling

Analysis, Algorithms and Applications

By: S. van Huffel (Editor), P. Lemmerling (Editor)

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Hardcover | 28 February 2002

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412 Pages

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24.13 x 16.51 x 2.54

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In response to a growing interest in Total Least Squares (TLS) and Errors-In-Variables (EIV) modeling by researchers and practitioners, well-known experts from several disciplines were invited to prepare an overview paper and present it at the third international workshop on TLS and EIV modeling held in Leuven, Belgium, August 27-29, 2001. These invited papers, representing two-thirds of the book, together with a selection of other presented contributions yield a complete overview of the main scientific achievements since 1996 in TLS and Errors-In-Variables modeling. In this way, the book nicely completes two earlier books on TLS (SIAM 1991 and 1997). Not only computational issues, but also statistical, numerical, algebraic properties are described, as well as many new generalizations and applications. Being aware of the growing interest in these techniques, it is a strong belief that this book will aid and stimulate users to apply the new techniques and models correctly to their own practical problems.

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Preface	p. ix
Introduction to Total Least Squares and Errors-in-Variables Modeling	p. 1
Basic Concepts and Analysis in EIV Modeling
TLS and its Improvements by Semiparametric Approach	p. 15
Unifying Least Squares, Total Least Squares and Data Least Squares	p. 25
Bounds for the Least Squares Residual Using Scaled TLS	p. 35
Total Least Squares Algorithms
Recent Developments in Rank Revealing and Lanczos Methods for Total Least Squares Related Problems	p. 47
A Regularized Total Least Squares Algorithm	p. 57
The Parametric Quadratic Form Method for Solving TLS Problems with Elementwise Weighting	p. 67
Structured Total Least Squares Problems
Structured Total Least Squares: Analysis, Algorithms and Applications	p. 79
Fast Structured Total Least Squares Algorithms via Exploitation of the Displacement Structure	p. 93
The Extended STLS Algorithm for Minimizing the Extended LS Criterion	p. 107
Nonlinear EIV Models and Statistical Estimators
Bayesian Smoothing for Measurement Error Problems	p. 121
On the Polynomial Measurement Error Model	p. 131
On Consistent Estimators in Nonlinear Functional EIV Models	p. 145
On Consistent Estimators in Linear and Bilinear Multivariate Errors-in-Variables Models	p. 155
Identification of Semi-Linear Models Within an Errors-in-Variables Framework	p. 165
Cox's Proportional Hazards Model under Covariate Measurement Error	p. 179
EIV Modeling with Bounded Uncertainties
State-Space Estimation with Uncertain Models	p. 191
Models for Robust Estimation and Identification	p. 203
Robust Solutions to Linear Approximation Problems Under Ellipsoidal Uncertainty	p. 213
Curve Fitting
QR Factorization of the Jacobian in Some Structured Nonlinear Least Squares Problems	p. 225
Neural Minor Component Analysis and TLS	p. 235
On the Structural Line Segment Model	p. 251
Model Fitting for Multiple Variables by Minimising the Geometric Mean Deviation	p. 261
EIV Estimation in System Identification
Perspectives on Errors-in-Variables Estimation for Dynamic Systems	p. 271
Errors-in-Variables Filtering in Behavioural and State-Space Contexts	p. 281
Weighted Total Least Squares, Rank Deficiency and Linear Matrix Structures	p. 293
Frequency-Domain TLS and GTLS Algorithms for Modal Analysis Applications	p. 305
EIV Estimation in Signal Processing
A New Decimative Spectral Estimation Method with Unconstrained Model Order and Decimation Factor	p. 321
Modeling Audio with Damped Sinusoids Using Total Least Squares Algorithms	p. 331
Real-Time TLS Algorithms in Gaussian and Impulse Noise Environments	p. 341
EIV Applications in Other Fields
Efficient Computation of the Riemannian SVD in Total Least Squares Problems in Information Retrieval	p. 353
Constrained Total Least Squares for Color Image Reconstruction	p. 365
Total Least Squares in Astronomy	p. 375
TLS and Constrained TLS Neural Networks for Computer Vision	p. 385
Index	p. 397
Table of Contents provided by Ingram. All Rights Reserved.

Total Least Squares and Errors-in-Variables Modeling

Analysis, Algorithms and Applications

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

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