Linear Graphs

This is a learning model for matrix-based data. It can be more efficient than standard vector-based models when the training sample is small or the inputs are matrices, since this model has less parameters than standard ones and exploits an inner structure of the inputs. This model can be...

This book is written for a first course in numerical linear algebra. It is designed to give students a firm grasp of the basic concepts of roundoff error, stability, condition, and accuracy, as well as an appreciation for the core numerical linear algebra algorithms.For a full book description...

Designed for a course at the freshman or sophomore level, this book emphasizes the computational and geometrical aspects of linear algebra.


Platforms: Matlab

Orthogonal Linear Regression in 3D-space by using Principal Components AnalysisThis is a wrapper function to some pieces of the code from the Statistics Toolbox demo titled "Fitting an Orthogonal Regression Using Principal Components...


Platforms: Matlab

Return random variable(s) with linear distribution within [0,1] and 0 outside; m specifies the slopeIn other wordP(x)= mx+b if 0


Platforms: Matlab

XI = findX(X,Y,YI) estimates the XI values at which the dependentvariables Y reach or cross a specified target level YI (scalar value). If there are multiple solutions, findX finds all of them. It may be seen as the "inverse" operation of the MATLAB's functionINTERP1, under 'linear' method.X is a...


Platforms: Matlab

This is the package for online (competitive)/batch prediction using generalized linear models under square loss. The algorithms are derived using the Aggregating Algorithm.The algorithms have guarantees on the cumulative square loss for the worst case when applied in online fashion in comparison...


Platforms: Matlab

Let us suppose a set of non-linear equations in the formF(m) = d(m,d are vectors, F is a vector function of vector argument). ANNI tries to construct suitable numerical approximation for inverse projection of d to m, i.e. to find numerical form ofG(d) = m.Such mapping may not exist in general,...


Platforms: Matlab

This customised function solves one type of non-linear systemof 3 simultaneous equations in 3 unknowns: k, L and r0 in 3 equations with 4 knowns: zeta, eeta, d and angle.function matrixresults = symsolvenonlineq(n,degrees,dinput)% EXAMPLE USAGE: m=symsolvenonlineq(3,45,20)% nb: takes around 738s...


Platforms: Matlab

Fully documented script file but this essentially solves the simultaneous equations Yvonne presented in a previous thread and does so for two 1 x 4 vectors. I then built four graphs and displayed them all on one plot.


Platforms: Matlab

Script for the multiplication of linear expressions without coefficient constants. This script returns a polynomial of given expressions.The number of expressions are not restricted and constant may be real or integer.ExampleCompute the (x-2)(x+4)(x-5)...write in following format. here x is a Row...


Platforms: Matlab

These are the slides of a plenary talk given at the 2006 SIAM Annual Meeting, on July 11, 2006.The talk describes how x=Ab works in MATLAB, when A is sparse.You can view the video at http://www.cise.ufl.edu/research/sparse/SIAM06. Follow along with these slides as you view the video. The slides...


Platforms: Matlab

Project:1D signal:Identification of PieceWise Linear by multiple regressionDetection of homogeneous zone using entropieProjection in the Hough space (1D) I/OInputs: 1D signal (xe,ye)Simulated data (Figure 12);Outputs: Entropie signal (xee,yee)Line positions, positionLine lengths, longueurLine...


Platforms: Matlab

ORTHLLS2D returns the Orthogonal Linear Least Squares estimate for parameters of line a x + b y + c = 0function f = OrthLLS2D(x, y)Inputs x and y must be real vectors of equal size.Output f is the real vector [a b c] where a, b and c are the estimated parameters of the linear equation.Since a...


Platforms: Matlab

Helps choose a Box-Cox power transformation for a multivariate linear regression.Assume you are looking at the residuals of [b,bint,r] = regress(y,X) and it seems a transformation is in place. Use:boxcoxlm(y,X) to find the best lambda for a Box-Cox power transformation (y^lambda, or log(y) for...


Platforms: Matlab

Optimal experimental designs for generalized linear models (GLM) depend on the unknown coefficients, and two experiments having the same model but different coefficient values will typically have different optimal designs. Therefore, unlike experimental design for linear models, the prior...


Platforms: Matlab

A very easy symbolic method for reduction of block diagrams or signal flow graphs with Matlab is presented. The method can be applied to every kind of diagram and it is possible to obtain in one stage all transfer functions for a given input. The method is validated with some examples, including...


Platforms: Matlab

User can generate a custom linear colormap giving 2 colors and colormap depth.Colors are given as vectors with RGB values. The suggested input method is using intensity values for each channel (0,1), but values in the (0,255) range are also allowed.No other colorspaces are allowed (i.e....


Platforms: Matlab

This script implements the linear Kalman filter and shows its performance on a 2nd order under-damped LTI system.The code consists of two main parts. In the first part, a noisy model with two state variables is simulated and in the second part, Kalman filtering is applied to estimate the real...


Platforms: Matlab

Solve multiple (2x2) or (3x3) linear systems:A(:,:,k)*X(:,:,k) = B(:,:,k) for k=1,2,...,NThe method used here is basic cofactor/determinant.DISADVANTAGE: This method may be less accurate than Matlab backslash (using in for-loop) when the matrices are ill-conditioned.ADVANTAGE: for a large number...


Platforms: Matlab