Windowed least-squares model reduction for dynamical systems

Total Least Squares Estimation of Dynamical Systems

The Total least squares error criterion is considered for estimation problems. Exact necessary conditions for the total error criterion have been derived. Several solution methodologies are presented to solve the modified normal equations obtained from the necessary conditions. A monte-carlo simulation depicting the effect of parameter variations on the coefficients of the resulting characteris...

Model reduction of large-scale systems by least squares

In this paper we introduce an approximation method for model reduction of large-scale dynamical systems. This is a projection which combines aspects of the SVD and Krylov based reduction methods. This projection can be efficiently computed using tools from numerical analysis, namely the rational Krylov method for the Krylov side of the projection and a lowrank Smith type iteration to solve a Ly...

Model selection for partial least squares based dimension reduction

0167-8655/$ see front matter 2011 Elsevier B.V. A doi:10.1016/j.patrec.2011.11.009 ⇑ Corresponding author. Address: Department of C Tongji University, Cao’an Road 4800, Shanghai 2018 3706; fax: +86 21 6958 9241. E-mail address: [email protected] (M. You). Partial least squares (PLS) has been widely applied to process scientific data sets as an effective dimension reduction technique. The main...

Parallel Nonnegative Least Squares Solvers for Model Order Reduction

Least – Squares Method For Estimating Diffusion Coefficient

 Abstract: Determination of the diffusion coefficient on the base of solution of a linear inverse problem of the parameter estimation using the Least-square method is presented in this research. For this propose a set of temperature measurements at a single sensor location inside the heat conducting body was considered. The corresponding direct problem was then solved by the application of the ...