Fast Eigenvalue Computation of Massive 3-by-3 Real Symmetric Matrices by Max W.K. Law

For multiple 3x3 real symmetric matrices, vectorized matrix operations, support GPU computation (3x3 matrix, eigen, eigendecomposition)

eigenvaluefield33( a11, a12, a13, a22, a23, a33)

Optimally Oriented Flux (OOF) for 3D Curvilinear Structure Detection by Max W.K. Law

Optimally Oriented Flux curvilinear structure descriptor (image processing, signal processing, curvilinear)

oof3response(image, radii, options)

Nonnegative Matrix and Tensor Factorization (NMF, NTF) with any beta-divergence by Antoine Liutkus

very simple to use implementation of the NMF/NTF model (nmf, ntf, nonnegative)

betaNTF(V,K,varargin)

vectorindex by Chad Lieberman

Evaluate n-dimensional arrays at vectors of indices. (tensor, indexing, sub2ind)

vectorindex(A,X)

Multilinear Principal Component Analysis (MPCA) by Haiping Lu

The codes implement two algorithms: Multilinear Principal Component Analysis (MPCA) and MPCA+LDA. (image processing, video processing, dimensionality reduct...)

MPCA(TX,gndTX,testQ,maxK)

MPCALDA(TX,gndTX,MPCADADim,testQ,maxK)

[GaitDBDir,probes,numprobe]=testData

N-dimensional Sparse Matrices by Jonathan Karr

N-dimensional sparse matrix and circular sparse matrix classes for arbitrary N. (sparse, multidimensional, matrix)

edu.stanford.covert.util.CircularSparseMat

edu.stanford.covert.util.CircularSparseMat_Test

edu.stanford.covert.util.SparseMat

Uncorrelated Multilinear Discriminant Analysis (UMLDA) by Haiping Lu

The codes implement the Uncorrelated Multilinear Discriminant Analysis (UMLDA) algorithm. (dimensionality reduct..., face recognition, feature extraction)

MaxSWLmds=estMaxSWEV(TX,gndTX)

RUMLDA(TX,gndTX,numP,gamma,MaxSWLmds,iInit)

demoR-UMLDA-Aggr.m

slices by Jeremy Manning

Slice a tensor (n-d matrix) along the d^th dimension. (repmat, cellfun, arrayfun)

slices(m,d)

Uncorrelated Multilinear Principal Component Analysis (UMPCA) by Haiping Lu

The codes implement the Uncorrelated Multilinear Principal Component Analysis (UMPCA) algorithm. (dimensionality reduct..., feature extraction, image processing)

UMPCA(TX,numP)

maxeig(A)

Gravitational comparison between a point mass and prism mass model by Martin Fuchs

Gravitational quantities of a prism and a point mass are being derived for specified heights. (gravity, prism, point)

mPrismCart(x,y,z,mass,xi,yi,zi)

mpointCart.m

TestPrismMassModel.m

Cummulative (dim 2) products across all permutations of distinct column-indices by Hin Kwan Wong

Sum column element products for all permutations of distinct column indices + user restrictions (multinomial, polynomial, expansion)

cumprodapdci(dataArray,varargin)

MMTensor 1.0 by Maarten Moesen

A tutorial for micromechanical computations with elasticity, fabric and Eshelby tensors. (tensor, mechanics, anisotropy)

cell_functional(cell_array, pos, fill_value)

computeEngineeringConstantsSqrt2(C)

computeEshelbyIntegrals(a)

frontal by Felipe G. Nievinski

Do: C = frontal_mtimes(A, b); not: for k=1:size(A,3), C(:,:,k) = A(:,:,k) * b(:,:,k); end (tensor)

cputime_res

cputime_tol

defrontal (in)

Back projections and tensor transform by Michael Chan

Illustrates back projections and Professor Grigoryan's tensor transform. (tensor, backprojections, splitting signals)

A=correct_image(A)

B=f_pst(A,p,s);

Err=msr_error(o,out,N1,N2)

Splitting Signals by Michael Chan

Illustrates Professor Grigoryan's split signals (2D image) and tensor representations. (image processing, fast, transform)

A=correct_image(A);

B=ft_pst(A,p,s)

PSNR(A,B)

Efficient Object-Oriented Kronecker Product Manipulation by Matt J

A class for efficient manipulation of N-fold Kronecker products in terms of their operands only. (kronecker, oop, tensor)

krontest(TOL)

krontest(TOL)

KronProd

Vectorized Transpose Matrix by Zachary Danziger

Creates an orthogonal permutation matrix for tensor and linear algebra manipulations. (linear algebra, tensor, mathematics)

TvecMat(m,n)

n-Mode Tensor - Matrix Product by Fabian Schneiter

Calculates the n-mode product between a tensor and a matrix. (nmode, matrix, tensor)

nmodeproduct(A,M,n)

WriteToVTK by Tim

Write 3D matrices to VTK files viewable with Paraview. (vtk, paraview, visualisation)

WriteToVTK(matrix, filename)

dots by Philippe Maincon

Multiple matrix-matrix products, or general operations on cartesian tensors (linear algebra, multiprod, multiple)

TryDots.m

dots.m

Transform Tensor by Peter Graat

Transformation of a 3D-tensor of any order to another coordinate system. (tensor, vector, chemistry)

transform(itr,tmx)