Hay, Least Squares Methods in Data Analysis, R.S
Total Least Squares Methods
... Applications of RTLS: RTLS formulations, including weighted and structured generalizations, have been used in various ill-posed problems. A noto- rious inverse problem—blind deconvolution of one- or two-dimensional ...
6
Numerical Analysis in Nonlinear Least Squares Methods and Applications
... Suppose that H.x/ is positive definite, then it is nonsingular so that equation ( 2.10 ) has a unique solution. It is obvious that p N k is a descent direction of F .x/ by multiply- ing p N k T on both sides of equation ...
166
Robust Least Squares Methods Under Bounded Data Uncertainties
... estimation methods and the direct LS estimation method tuned to the estimates of the data matrix and output ...the data matrix is known to have a special structure such as Toeplitz or ...estimation ...
29
Numerical methods for least squares problems with application to data assimilation
... Probabilistic methods for 4DVAR problems (ensemble based methods) The aim of this chapter is to present the application of the approach developed in the previ- ous chapter to data assimilation ...
152
Overview of total least squares methods
... total least squares method and describe algorithms for its generalization to weighted and structured approximation ...total least squares problem has a unique solution, which is given in ...
24
Least Squares Temporal Difference Methods: An Analysis Under General Conditions
... 2 Notation and Background We consider stationary randomized target and behavior policies and the evaluation of a target policy by using observations of transitions and costs generated under the behavior policy. For ...
30
Incremental partial least squares analysis of big streaming data
... the analysis of large-scale streaming ...extraction methods are not suitable for processing streaming data with high feature dimensions because only a few methods have low time complexity, ...
10
GALS – Gradient Analysis by Least Squares
... the data at ...the data at hand, but also on the physical phenomenon of ...interpret data from separate spacecraft as a single, coherent, ...the data, it is often possible to estimate a ...
9
Deformation analysis with Total Least Squares
... This study focuses on the use of TLS approach for geode- tic deformation analysis. For comparison a traditional ap- proach, namely similarity transformation has also been ap- plied on the same data set. The ...
7
Valuing American Style Options by Least Squares Methods
... using Least squares approximation to approximate the option price on the continuation region and Monte Carlo methods to calculate the option ...technique least square Monte Carlo approach ...
18
Non-parametric and least squares Langley plot methods
... In most places where sun photometers are deployed, peri- ods of stable atmospheres are much less common, and they are frequently interrupted by cloud passages, changes in at- mospheric conditions like varying humidity ...
11
SELECTION OF REFERENCE PLANE BY THE LEAST SQUARES FITTING METHODS
... paper least square fitting methods (cylinder, polynomial) and commercial filters (Gaussian filter, Gaussian regression filter and ro- bust Gaussian regression filter) for areal form removal were compared ...
12
A least squares approach to Principal Component Analysis for interval valued data
... In MR-PCA, we assume that different scores are determined for the midpoints and the radii, whereas the loadings are the same. Thus, the proposed model is based upon the assumption that the midpoints and the radii are ...
29
APPLICATION OF RESTRICTED LEAST SQUARES TO ECONOMETRIC DATA
... Ordinary Least Square (OLS) estimates shows that substitution parameters α and β (substitution parameters for capital and labour, respectively) confirms the a priori expectation that the duo of α and β are ...
12
Kernel Partial Least Squares for Stationary Data
... partial least squares estimator to the true regression function when the input data are not independent and identically distributed, but rather stationary time ...regression methods have been ...
41
Analysis of TCM Data Based on Partial Least Squares within Random Forest
... nonlinear data, a new method fusing Random Forest into PLS is proposed, which can ensemble multi-learning machine and make full use of the random selecting of feature and sample, the new algorithm can well explain ...
8
Partial Least Squares: A Versatile Tool for the Analysis of High-Dimensional Genomic Data
... PLS-based methods for special types of response vari- ables So far, we have considered applications of PLS regression to various biological ...survival data without taking censor- ing into account might ...
30
Regularization methods for the solution of a nonlinear least-squares problem in tomography
... some data acquisition techniques in the field of Medical imaging, which will be the topic of our ...linear least squares minimization, its ill- position will lead us to the need to find a solution ...
104
Finite element least squares methods for a compressible stokes system
... 4. Finite element approximations. In this section, we provide the finite element ap- proximation of the minimization of the least-squares functionals G 0 only. Note that an obvious modification in this ...
10
Numerical investigations of linear least squares methods for derivative estimation
... raw data comprises three dimensional coordinates of ...the data points to generate smooth representations of the scanned ...scattered data and realism may be con- veyed by adding texture to the ...
14