Total Least Squares and Errors-in-Variables Modeling Analysis, Algorithms, and Applications Book

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