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Longer titles found: Non-linear least squares (view), Numerical methods for linear least squares (view)

searching for linear least squares 54 found (142 total)

List of probability distributions (2,609 words) [view diff] exact match in snippet view article find links to article

has simple closed forms, and can be parameterized with data using linear least squares. The Marchenko–Pastur distribution is important in the theory of

Water retention curve (914 words) [view diff] no match in snippet view article find links to article

non-linearity of the equation, numerical techniques such as the non-linear least-squares method can be used to solve the van Genuchten parameters. The accuracy

James B. Ramsey (286 words) [view diff] case mismatch in snippet view article find links to article

1968 with the thesis "Tests for Specification Errors in Classical Linear Least Squares Regression Analysis", which was later partially published in the

Rietveld refinement (4,987 words) [view diff] exact match in snippet view article find links to article

instrumental parameters) to experimental data. It employs the non-linear least squares method, and requires the reasonable initial approximation of many

Box–Jenkins method (1,543 words) [view diff] no match in snippet view article find links to article

The most common methods use maximum likelihood estimation or non-linear least-squares estimation. Statistical model checking by testing whether the estimated

Coefficient of determination (6,235 words) [view diff] exact match in snippet view article find links to article

conditions: f ¯ = y ¯ . {\displaystyle {\bar {f}}={\bar {y}}.\,} In linear least squares multiple regression (with fitted intercept and slope), R2 equals

Generated regressor (663 words) [view diff] no match in snippet view article find links to article

w i {\displaystyle w_{i}} 's. Then, β can be estimated by (Non-Linear) Least Squares using x 2 i ^ = h ( w i , γ ^ ) {\displaystyle {\hat {x_{2i}}}=h(w_{i}

Recursive least squares filter (2,407 words) [view diff] exact match in snippet view article find links to article

that recursively finds the coefficients that minimize a weighted linear least squares cost function relating to the input signals. This approach is in

Spectral line shape (2,794 words) [view diff] exact match in snippet view article find links to article

experimentally. In this case the curve may be decomposed using a linear least squares process simply to determine the concentrations of the components

Generalized logistic distribution (3,526 words) [view diff] exact match in snippet view article find links to article

is highly shape-and-bounds flexible and can be fit to data with linear least squares. The following definitions are for standardized versions of the families

Determination of equilibrium constants (7,186 words) [view diff] no match in snippet view article find links to article

achieved by minimising an objective function, U, by the method of non-linear least-squares. First the residuals are defined as r i = y i obs − y i calc {\displaystyle

Johnson's SU-distribution (584 words) [view diff] exact match in snippet view article find links to article

fitting moments, QPDs are typically fit to empirical CDF data with linear least squares. Johnson's S U {\displaystyle S_{U}} -distribution is also used in

Moving-average model (1,079 words) [view diff] exact match in snippet view article find links to article

iterative non-linear fitting procedures need to be used in place of linear least squares. Moving average models are linear combinations of past white noise

Moment matrix (811 words) [view diff] exact match in snippet view article find links to article

unbiased estimator of β {\displaystyle {\boldsymbol {\beta }}} is the linear least squares estimator b = ( X T X ) − 1 X T y {\displaystyle \mathbf {b} =\left(\mathbf

Joel Bowman (1,295 words) [view diff] no match in snippet view article find links to article

parameter in the Morse variable, the PES can be determined through linear least-squares fitting of computed electronic energies for the system at various

Swain–Lupton equation (1,276 words) [view diff] no match in snippet view article find links to article

that one is trying to make a comparison to using this equation. A linear least-squares analysis is used to determine the coefficients/constants a, b, and

Mohammad Aslam Khan Khalil (444 words) [view diff] exact match in snippet view article find links to article

Chemosphere, 22(3–4):383–417, 1991. M. A. K. Khalil and F. P. Moraes. Linear least squares method for time series analysis with an application to a methane

Ramsey RESET test (414 words) [view diff] case mismatch in snippet view article find links to article

Ramsey, J. B. (1969). "Tests for Specification Errors in Classical Linear Least Squares Regression Analysis". Journal of the Royal Statistical Society, Series

Iterative closest point (801 words) [view diff] no match in snippet view article find links to article

doi:10.1561/2300000035. S2CID 62361231. Kok-Lim Low (February 2004). "Linear Least-Squares Optimization for Point-to-Plane ICP Surface Registration" (PDF).

Simple rational approximation (715 words) [view diff] exact match in snippet view article find links to article

1137/S0895479892241287, MR 1311425. Gander, Walter (1978), On the linear least squares problem with a quadratic constraint, Stanford University, School

Michaelis–Menten kinetics (6,212 words) [view diff] no match in snippet view article find links to article

tk/kmvmax.html) based on the C programming language and the non-linear least-squares Levenberg–Marquardt algorithm of gnuplot Alternative online K M {\displaystyle

Logistic distribution (1,783 words) [view diff] exact match in snippet view article find links to article

flexible, has a simple closed form, and can be fit to data with linear least squares. The nth-order central moment can be expressed in terms of the quantile

Kim-Chuan Toh (293 words) [view diff] exact match in snippet view article find links to article

accelerated proximal gradient algorithm for nuclear norm regularized linear least squares problems". Pac. J. Optim. 6 (2010), no. 3, 615–640. Todd, M. J.;

Subspace identification method (637 words) [view diff] exact match in snippet view article find links to article

Knowledge of this key spaces allows to estimate the system matrices via linear least squares. An extension to the stochastic realization problem where we have

Separation principle in stochastic control (4,925 words) [view diff] no match in snippet view article find links to article

u(t)=K(t){\hat {x}}(t),} where x ^ ( t ) {\displaystyle {\hat {x}}(t)} is the linear least-squares estimate of the state vector x ( t ) {\displaystyle x(t)} obtained

Coherence (signal processing) (1,361 words) [view diff] exact match in snippet view article

the extent to which y(t) may be predicted from x(t) by an optimum linear least squares function. Values of coherence will always satisfy 0 ≤ C x y ( f )

Analysis of Functional NeuroImages (1,002 words) [view diff] exact match in snippet view article find links to article

small motion artifacts, AFNI's motion correction tool employs a linear least squares algorithm that attempts to align each 3D image acquired to the first

Ruth A. David (883 words) [view diff] no match in snippet view article find links to article

and digital signal, digital and microprocessor system design, and linear least-squares estimation. In 1986, she was employed as the supervisor of the Data

Log-logistic distribution (2,053 words) [view diff] exact match in snippet view article find links to article

simple closed form PDF and quantile function, can be fit to data with linear least squares, and subsumes the log-logistic distribution is special case. Probability

Doppler echocardiography (2,290 words) [view diff] exact match in snippet view article find links to article

correlation function at the other dimension’s lags are found, and a linear least squares fitted line is created accordingly. The intersection of the two lines

Radial basis function (1,738 words) [view diff] exact match in snippet view article find links to article

{\textstyle w_{i}} can be estimated using the matrix methods of linear least squares, because the approximating function is linear in the weights w i

Gene H. Golub (1,813 words) [view diff] exact match in snippet view article find links to article

Golub, Gene H. (1965). "Numerical methods for solving linear least squares problems". Numerische Mathematik. 7 (3): 206–216. doi:10.1007/BF01436075

Spike-triggered average (1,249 words) [view diff] no match in snippet view article find links to article

condition than spherical symmetry. The whitened STA is equivalent to linear least-squares regression of the stimulus against the spike train. In practice,

Smoothing spline (2,309 words) [view diff] exact match in snippet view article find links to article

roughness penalty becomes paramount and the estimate converges to a linear least squares estimate. The roughness penalty based on the second derivative is

Wiener filter (2,948 words) [view diff] exact match in snippet view article find links to article

Univ. 1941 vol.2 no.6 1-40. English translation in Kailath T. (ed.) Linear least squares estimation Dowden, Hutchinson & Ross 1977 ISBN 0-87933-098-8 Thomas

Benesi–Hildebrand method (1,846 words) [view diff] no match in snippet view article find links to article

a computational method which is more generally applicable, a non-linear least-squares minimization method. The two parameters, K or ε are determined by

SAAM II (1,278 words) [view diff] no match in snippet view article find links to article

multiple data fitting, utilizing a modified nonlinear weighted non-linear least-squares method derived from the Gauss-Newton algorithm. In regression tasks

Gran plot (4,899 words) [view diff] no match in snippet view article find links to article

of the carbonate/bicarbonate equilibrium on the alkaline side); a linear least-squares treatment provides 1 / b 1 {\displaystyle 1/b_{1^{}}} as slope and

Gram–Schmidt process (4,420 words) [view diff] exact match in snippet view article find links to article

decomposition for inverting the matrix of the normal equations in linear least squares. Let V {\displaystyle V} be a full column rank matrix, whose columns

Timeline of scientific computing (2,913 words) [view diff] case mismatch in snippet view article find links to article

Words of Mathematics (G). As of Aug 2017. Farebrother, RW (1988). Linear Least Squares Computations. CRC Press. ISBN 9780824776619. Retrieved 19 August

Reaction progress kinetic analysis (4,772 words) [view diff] exact match in snippet view article find links to article

constants in terms of experimental rates and concentrations. Non-linear least squares analysis may then be employed to obtain best fit values of the unknown

Gaussian elimination (4,266 words) [view diff] case mismatch in snippet view article find links to article

Prentice Hall, ISBN 978-0-02-318285-3. Farebrother, R.W. (1988), Linear Least Squares Computations, STATISTICS: Textbooks and Monographs, Marcel Dekker

Efficient Java Matrix Library (387 words) [view diff] no match in snippet view article find links to article

Matrix Manipulation (extract, insert, combine, ... ) Linear Solvers (linear, least squares, incremental, ... ) Decompositions (LU, QR, Cholesky, SVD, Eigenvalue

Reynolds number (6,408 words) [view diff] case mismatch in snippet view article find links to article

15–18, 1996. Isobel Clark, 1977, ROKE, a Computer Program for Non-Linear Least Squares Decomposition of Mixtures of Distributions; Computer & Geosciences

Law of large numbers (6,299 words) [view diff] case mismatch in snippet view article find links to article

Lemma 2.4 Jennrich, Robert I. (1969). "Asymptotic Properties of Non-Linear Least Squares Estimators". The Annals of Mathematical Statistics. 40 (2): 633–643

Robert Haralick (2,317 words) [view diff] case mismatch in snippet view article find links to article

Image and Vision Computing, Volume 14, 1996, pages 379-388 A Robust Linear Least squares Estimation of Camera Exterior Orientation Using Multiple Geometric

Ultrafast laser spectroscopy (4,355 words) [view diff] exact match in snippet view article find links to article

multiple energy states, and thus multiple rate constants. Though non-linear least squares analysis can usually detect the different rate constants, determining

Statistical association football predictions (2,911 words) [view diff] case mismatch in snippet view article find links to article

Dependence Performance 1. TILS Time Independent Least Squares Rating Linear Least Squares Regression No Poor 2. TIPR Time Independent Poisson Regression Maximum

Kenneth E. Iverson (6,476 words) [view diff] case mismatch in snippet view article find links to article

A. (June 1970). "The Solution of Linear Systems of Equations and Linear Least Squares Problems in APL". Technical Report Number 320-2989. IBM Corp. Jenkins

Host–guest chemistry (5,106 words) [view diff] no match in snippet view article find links to article

equations, at a given wavelength, that which can be solved by a linear least-squares process for the unknown extinction coefficient values at that wavelength

Stability constants of complexes (7,604 words) [view diff] no match in snippet view article find links to article

These estimates are necessary because the calculation uses a non-linear least-squares algorithm. The estimates are usually obtained by reference to a chemically

Paraguayan War casualties (4,179 words) [view diff] exact match in snippet view article find links to article

for 1846, then created a curve by applying the technique of log-linear least squares regression to those four censuses, and achieved a best fit with an

List of awards and honors received by John von Neumann (1,307 words) [view diff] case mismatch in snippet view article find links to article

(Technical Report); Article (33.2.24); Optimal Sensitivity Analysis of Linear Least Squares; Parallel machines and the "digital brain" — An intricate extrapolation

Theory of functional connections (2,900 words) [view diff] no match in snippet view article find links to article

solve. Conversely, TFC directly addresses these problems through linear least-squares techniques, avoiding the need for iterative procedures. Both methods