From time series to linear system-part I. Finite dimensional linear time invariant systems
Automatica (Journal of IFAC)
Measurement error models
Analysis and solution of the nongeneric total least squares problem
SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Matrix Analysis and Applications
The restricted total least squares problem: formulation, algorithm, and properties
SIAM Journal on Matrix Analysis and Applications
The total least squares technique: computation, properties and applications
SVD and signal processing
A unitarily constrained total least squares problem in signal processing
SIAM Journal on Matrix Analysis and Applications
Total linear least squares and the algebraic Riccati equation
Systems & Control Letters
Total Least Norm Formulation and Solution for Structured Problems
SIAM Journal on Matrix Analysis and Applications
Regularization by Truncated Total Least Squares
SIAM Journal on Scientific Computing
Introduction to total least squares techniques and errors-in-variables modeling
Proceedings of the second international workshop on Recent advances in total least squares techniques and errors-in-variables modeling
Robust Solutions to Least-Squares Problems with Uncertain Data
SIAM Journal on Matrix Analysis and Applications
Parameter Estimation in the Presence of Bounded Data Uncertainties
SIAM Journal on Matrix Analysis and Applications
Structured Total Least Norm for Nonlinear Problems
SIAM Journal on Matrix Analysis and Applications
Analyses, Development, and Applications of TLS Algorithms in Frequency Domain System Identification
SIAM Journal on Matrix Analysis and Applications
Signal restoration via the regularized constrained total least squares
Signal Processing
Tikhonov Regularization and Total Least Squares
SIAM Journal on Matrix Analysis and Applications
Fast Structured Total Least Squares Algorithm for Solving the Basic Deconvolution Problem
SIAM Journal on Matrix Analysis and Applications
Blind Deconvolution Using a Regularized Structured Total Least Norm Algorithm
SIAM Journal on Matrix Analysis and Applications
The Role of Total Least Squares in Motion Analysis
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
Perceptual audio modeling with exponentially damped sinusoids
Signal Processing - Content-based image and video retrieval
Block-Toeplitz/Hankel Structured Total Least Squares
SIAM Journal on Matrix Analysis and Applications
A Global Solution for the Structured Total Least Squares Problem with Block Circulant Matrices
SIAM Journal on Matrix Analysis and Applications
Core Problems in Linear Algebraic Systems
SIAM Journal on Matrix Analysis and Applications
Exact and Approximate Modeling of Linear Systems: A Behavioral Approach (Mathematical Modeling and Computation) (Mathematical Modeling and Computation)
On the Solution of the Tikhonov Regularization of the Total Least Squares Problem
SIAM Journal on Optimization
The element-wise weighted total least-squares problem
Computational Statistics & Data Analysis
High-performance numerical algorithms and software for structured total least squares
Journal of Computational and Applied Mathematics
On weighted structured total least squares
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
Estimation of a signal waveform from noisy data using low-rankapproximation to a data matrix
IEEE Transactions on Signal Processing
The constrained total least squares technique and its applicationsto harmonic superresolution
IEEE Transactions on Signal Processing
Total least squares for affinely structured matrices and the noisyrealization problem
IEEE Transactions on Signal Processing
The geometry of weighted low-rank approximations
IEEE Transactions on Signal Processing
The equivalence of the total least squares and minimum norm methods[signal processing]
IEEE Transactions on Signal Processing
The Data Least Squares Problem and Channel Equalization
IEEE Transactions on Signal Processing
Formulation and solution of structured total least norm problemsfor parameter estimation
IEEE Transactions on Signal Processing
Automatica (Journal of IFAC)
Regularized constrained total least squares image restoration
IEEE Transactions on Image Processing
Editorial: Total Least Squares and Errors-in-variables Modeling
Computational Statistics & Data Analysis
Total least squares in fuzzy system identification: An application to an industrial engine
Engineering Applications of Artificial Intelligence
Multi-frequency identification method in signal processing
Digital Signal Processing
Supervised clustering via principal component analysis in a retrieval application
Proceedings of the Third International Workshop on Knowledge Discovery from Sensor Data
Identification of contact dynamics parameters for stiff robotic payloads
IEEE Transactions on Robotics
Computers & Mathematics with Applications
Structured least squares problems and robust estimators
IEEE Transactions on Signal Processing
Joint photometric and geometric image registration in the total least square sense
Pattern Recognition Letters
Total least square kernel regression
Journal of Visual Communication and Image Representation
Structured Total Maximum Likelihood: An Alternative to Structured Total Least Squares
SIAM Journal on Matrix Analysis and Applications
Reciprocity calibration techniques, implementation on the OpenAirInterface platform
Proceedings of the 4th International Conference on Cognitive Radio and Advanced Spectrum Management
Fast deconvolution with approximated PSF by RSTLS with antireflective boundary conditions
Journal of Computational and Applied Mathematics
Efficient determination of the hyperparameter in regularized total least squares problems
Applied Numerical Mathematics
Automatic detection of crop rows in maize fields with high weeds pressure
Expert Systems with Applications: An International Journal
Large-scale Tikhonov regularization of total least squares
Journal of Computational and Applied Mathematics
Online algorithm based on support vectors for orthogonal regression
Pattern Recognition Letters
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We review the development and extensions of the classical total least-squares method and describe algorithms for its generalization to weighted and structured approximation problems. In the generic case, the classical total least-squares problem has a unique solution, which is given in analytic form in terms of the singular value decomposition of the data matrix. The weighted and structured total least-squares problems have no such analytic solution and are currently solved numerically by local optimization methods. We explain how special structure of the weight matrix and the data matrix can be exploited for efficient cost function and first derivative computation. This allows to obtain computationally efficient solution methods. The total least-squares family of methods has a wide range of applications in system theory, signal processing, and computer algebra. We describe the applications for deconvolution, linear prediction, and errors-in-variables system identification.