Results 21 to 30 of about 1,732,672 (296)

Reconciling alternate methods for the determination of charge distributions: A probabilistic approach to high-dimensional least-squares approximations [PDF]

, 2010
We propose extensions and improvements of the statistical analysis of distributed multipoles (SADM) algorithm put forth by Chipot et al. in [6] for the derivation of distributed atomic multipoles from the quantum-mechanical electrostatic potential.
Champagnat, Nicolas, Chipot, Christophe, Faou, Erwan   +2 more
core   +6 more sources

Stability indicating analysis of bisacodyl by partial least squares regression, spectral residual augmented classical least squares and support vector regression chemometric models: A comparative study

Bulletin of Faculty of Pharmacy Cairo University, 2011
Partial least squares regression (PLSR), spectral residual augmented classical least squares (SRACLS) and support vector regression (SVR) are three different chemometric models.
Ibrahim A. Naguib
doaj   +1 more source

Methodology and theory for partial least squares applied to functional data [PDF]

, 2012
The partial least squares procedure was originally developed to estimate the slope parameter in multivariate parametric models. More recently it has gained popularity in the functional data literature.
Delaigle, Aurore, Hall, Peter
core   +1 more source

Numerical analysis of least squares and perceptron learning for classification problems [PDF]

, 2020
This work presents study on regularized and non-regularized versions of perceptron learning and least squares algorithms for classification problems.
Beilina, L.
core   +2 more sources

Least Squares Moving-Window Spectral Analysis [PDF]

Applied Spectroscopy, 2017
Least squares regression is proposed as a moving-windows method for analysis of a series of spectra acquired as a function of external perturbation. The least squares moving-window (LSMW) method can be considered an extended form of the Savitzky–Golay differentiation for nonuniform perturbation spacing.
openaire   +2 more sources

Analysis of moving least squares approximation revisited

, 2015
In this article the error estimation of the moving least squares approximation is provided for functions in fractional order Sobolev spaces. The analysis presented in this paper extends the previous estimations and explains some unnoticed mathematical ...
Mirzaei, Davoud
core   +1 more source

Improved Convergence Analysis of Gauss-Newton-Secant Method for Solving Nonlinear Least Squares Problems

Mathematics, 2019
We study an iterative differential-difference method for solving nonlinear least squares problems, which uses, instead of the Jacobian, the sum of derivative of differentiable parts of operator and divided difference of nondifferentiable parts. Moreover,
Ioannis Argyros, Stepan Shakhno, Yurii Shunkin   +2 more
doaj   +1 more source

Performance analysis of the Least-Squares estimator in Astrometry

, 2015
We characterize the performance of the widely-used least-squares estimator in astrometry in terms of a comparison with the Cramer-Rao lower variance bound.
Lobos, Rodrigo A., Mendez, Rene A., Orchard, Marcos, Silva, Jorge F.   +3 more
core   +2 more sources

Least Squares Shadowing method for sensitivity analysis of differential equations [PDF]

, 2017
For a parameterized hyperbolic system $\frac{du}{dt}=f(u,s)$ the derivative of the ergodic average $\langle J \rangle = \lim_{T \to \infty}\frac{1}{T}\int_0^T J(u(t),s)$ to the parameter $s$ can be computed via the Least Squares Shadowing algorithm (LSS).
Blonigan, Patrick J., Chater, Mario, Ni, Angxiu, Wang, Qiqi   +3 more
core   +2 more sources

Least Squares Shadowing sensitivity analysis of chaotic limit cycle oscillations

, 2014
The adjoint method, among other sensitivity analysis methods, can fail in chaotic dynamical systems. The result from these methods can be too large, often by orders of magnitude, when the result is the derivative of a long time averaged quantity.
Blonigan, Patrick, Hu, Rui, Wang, Qiqi
core   +1 more source