Results 51 to 60 of about 14,001 (154)

Convex Total Least Squares [PDF]

, 2014
We study the total least squares (TLS) problem that generalizes least squares regression by allowing measurement errors in both dependent and independent variables. TLS is widely used in applied fields including computer vision, system identification and
Malioutov, Dmitry M., Slavov, Nikolai
core   +1 more source

Better Nonlinear Models from Noisy Data: Attractors with Maximum Likelihood

, 1999
A new approach to nonlinear modelling is presented which, by incorporating the global behaviour of the model, lifts shortcomings of both least squares and total least squares parameter estimates.
E. Baake, E. J. Kostelich, G. Casella, H. Kantz, I. Gilmour, J. Timmer, L. A. Smith, L. A. Smith, L. A. Smith, L. Jaeger, Leonard A. Smith, M. Casdagli, M. Hénon, M. L. Berliner, P. A. P. Moran, P. Grassberger, Patrick E. McSharry, R. M. May, R. M. May, S. Van Huffel, T. Schreiber, W. E. Ricker, W. H. Press, W. Jansen, Å. Björck   +24 more
core   +2 more sources

Structural Damage Identification Based on AR Model with Additive Noises Using an Improved TLS Solution

Sensors, 2019
Structural damage is inevitable due to the structural aging and disastrous external excitation. The auto-regressive (AR) based method is one of the most widely used methods for structural damage identification. In this regard, the classical least-squares
Cai Wu, Shujin Li, Yuanjin Zhang
doaj   +1 more source

The kinetics of homogeneous melting beyond the limit of superheating [PDF]

, 2011
Molecular dynamics simulation is used to study the time-scales involved in the homogeneous melting of a superheated crystal. The interaction model used is an embedded-atom model for Fe developed in previous work, and the melting process is simulated in ...
Abraham F. F., C. Cazorla, D. Alfè, M. J. Gillan, Poirier J. P.   +4 more
core   +2 more sources

Quadrature-Based Vector Fitting: Implications For H2 System Approximation

, 2014
Vector Fitting is a popular method of constructing rational approximants designed to fit given frequency response measurements. The original method, which we refer to as VF, is based on a least-squares fit to the measurements by a rational function ...
Beattie, Christopher, Drmac, Zlatko, Gugercin, Serkan   +2 more
core   +1 more source

Total Least Squares Estimation in Hedonic House Price Models

ISPRS International Journal of Geo-Information
In real estate valuation using the Hedonic Price Model (HPM) estimated via Ordinary Least Squares (OLS) regression, subjectivity and measurement errors in the independent variables violate the Gauss–Markov theorem assumption of a non-random coefficient ...
Wenxi Zhan, Yu Hu, Wenxian Zeng, Xing Fang, Xionghua Kang, Dawei Li   +5 more
doaj   +1 more source

On weighted structured total least squares

, 2006
In this contribution we extend the result of (Markovsky et. al, SIAM J. of Matrix Anal. and Appl., 2005) to the case of weighted cost function. It is shown that the computational complexity of the proposed algorithm is preserved linear in the sample size
G. Golub, I. Markovsky, I. Markovsky, I. Markovsky, S. Huffel Van   +4 more
core   +1 more source

Algorithms and statistical analysis for linear structured weighted total least squares problem

Geodesy and Geodynamics
Weighted total least squares (WTLS) have been regarded as the standard tool for the errors-in-variables (EIV) model in which all the elements in the observation vector and the coefficient matrix are contaminated with random errors.
Jian Xie, Tianwei Qiu, Cui Zhou, Dongfang Lin, Sichun Long   +4 more
doaj   +1 more source

Götterdämmerung over total least squares

Journal of Geodetic Science, 2016
The traditional way of solving non-linear least squares (LS) problems in Geodesy includes a linearization of the functional model and iterative solution of a nonlinear equation system.
Malissiovas G., Neitzel F., Petrovic S.
doaj   +1 more source

On The Errors-In-Variables Model With Singular Dispersion Matrices

Journal of Geodetic Science, 2014
While the Errors-In-Variables (EIV) Model has been treated as a special case of the nonlinear Gauss- Helmert Model (GHM) for more than a century, it was only in 1980 that Golub and Van Loan showed how the Total Least-Squares (TLS) solution can be ...
Schaffrin B., Snow K., Neitzel F.
doaj   +1 more source