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Total Least Squares Algorithm for Errors-in-Variables Systems: Iterative Algorithm or Two-Step Algorithm

IEEE Transactions on Automation Science and Engineering
The total least squares (TLS) algorithm is a superior identification tool for low-order errors-in-variables (EIV) systems, where the estimate can be obtained by solving an eigenvector of the minimum eigenvalue of an augmented matrix.
Jing Chen   +3 more
semanticscholar   +1 more source

Robust Recursive TLS (Total Least Square) Method Using Regularized UDU Decomposed for FNN (Feedforward Neural Network) Training

2005
We present a robust recursive total least squares (RRTLS) algorithm for multilayer feed-forward neural networks. So far, recursive least squares (RLS) has been successfully applied to training multilayer feed-forward neural networks. However, if input data has additive noise, the results from RLS could be biased.
JunSeok Lim, Nakjin Choi, KoengMo Sung
openaire   +1 more source

Robust Geomagnetic Vector Compensation under Attitude Uncertainty Via Mixed Least Squares-Total Least Squares

IEEE International Conference on Electronic Measurement & Instruments
The magnetic compensation is crucial for high- precision geomagnetic vector measurement. The traditional geomagnetic vector compensation methods usually ignore the influence of inertial navigation attitude error.
Fengyan Tang   +7 more
semanticscholar   +1 more source

Improved Second Harmonic Imaging of Ultrasound Contrast Agents Based on Total Least-Squares Adaptive Filtering

IUS, 2021
In ultrasound contrast imaging, the second harmonic (SH) of contrast agents has a higher resolution than the subharmonic and a higher energy than the ultraharmonic, which is helpful for the visualization of blood flow.
Jingying Zhu   +3 more
semanticscholar   +1 more source

A Recursive Total Least Squares Solution for Bearing-Only Target Motion Analysis and Circumnavigation

IEEE/RJS International Conference on Intelligent RObots and Systems
Bearing-only Target Motion Analysis (TMA) is a promising technique for passive tracking in various applications as a bearing angle is easy to measure.
Lin Li   +4 more
semanticscholar   +1 more source

Hyperbolic Secant Total Least Squares Adaptive Filter Algorithm for Suppressing Impulse Noise

International Conference on Digital Signal Processing, 2021
The total least squares (TLS) algorithm has shown good convergence performance in the errors-in-variables (EIV) model, where the input and output signals are polluted by noise at the same time.
Yida Chen, Haiquan Zhao
semanticscholar   +1 more source

Beam Position Measurement Algorithm Based on Robust Moving Total Least Squares Method

International Conference on Information Systems and Computer Aided Education
Beam position monitoring (BPM) is a crucial diagnostic technique used in synchrotron operation. In the context of measurement data fitting, the moving least-squares and moving total least-squares (MTLS) techniques are commonly employed.
R. An   +4 more
semanticscholar   +1 more source

A Bayesian Approach to Total Least‐Squares in Perturbed Compressive Sensing

International Journal of Adaptive Control and Signal Processing
This paper introduces a Bayesian total least‐squares (B‐TLS) formulation to address the perturbed compressive sensing problem. Due to the presence of a nonconvex nonseparable penalty, applying the traditional alternating minimization method to this ...
Junlin Li   +3 more
semanticscholar   +1 more source

On Total Least Squares Estimation for Longitudinal Errors-in-Variables Models

, 2021
The objective of this study is to evaluate the total least squares (TLS) estimator for the linear mixed model when the design matrix is subject to measurement errors, with special focus on models for longitudinal or repeated-measures data.
Rauf Ahmad, S. Zwanzig
semanticscholar   +1 more source

Total Least Squares from a Bayesian Perspective: Incorporating Data-Informed Forgetting

IEEE Conference on Decision and Control
The real-time estimation of error-in-variables (EIV) models with unknown time-varying parameters is considered and resolved using a Bayesian framework.
J. Dokoupil, P. Václavek
semanticscholar   +1 more source

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