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Algebraic Decompositions

This repository contains some decomposition algorithms implemented in matlab, this algorithms implemented as a part of assingments, in Tensor Decomposition course. Decompoistions here are in two types, tensor ones and matrices.

Tensor Decompoistions

Two famous algorithms have been implemented here, first one, Canonical Polyadic/PARAFAC/CanDecomp most known as CP, and the other one, one of most basic methods of implementing Tucker Decomposition, know as Higher Order Orthogonal Iteration.

Matrix Decompositions

Three well known algorithms have been implemented and evaluated, EigenValue Decomposition (EVD) using Jacobi method, One Sided/Two Sided Singular Value Decomposition using Jacobi method, and Nonnegative Matrix Factorization implemented using ALS (Alterating Least Squares) algorithm.

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