TTr1SVD

KO | EN

gitlite — search

#python #hacktoberfest #react #llm #golang #android #rust #deep-learning #linux #windows #kubernetes #security #openai #open-source

(★ 21)

Tensor Train Rank-1 decomposition

TTr1SVD 최신버젼 다운로드

최종 버전 다운로드 (.zip)

// repository documentation

Was this content helpful?

★ 0 (0 ratings)

Tensor Train Rank-1 Singular Value and Symmetric Eigenvalue Decomposition for Matlab&copy;/Octave&copy;
-------------------------------------------------------------------------------------------------------

The Tensor Train Rank-1 singular value decomposition (TTr1SVD) decomposes an arbitrary tensor A into a unique linear combination of orthonormal rank-1 terms. The Tensor Train Rank-1 symmetric eigenvalue decomposition (TTr1SED) does the same for a tensor that is symmetric in the last 2 modes of equal dimension. This allows for a very straightforward determination of a low-rank approximation as well as an easy quantification of the approximation error.

1. Functions
------------

* [U,S,V,sigmas]=ttr1svd(A) or [U,S,V,sigmas]=ttr1sed(A)

Use this function to compute the TTr1SVD(/SED) decomposition.

* Atilde=getAtilde(U,sigmas,V,sigmaI,n)

Use this function to compute a rank-R approximation Atilde of A from the TTr1SVD(/SED) decomposition.

* demo.m

Small demo that illustrates the use of most functions in this pacakge.

* [S,Q]=ttr12tucker(U,sigmas,V,n)

Converts a tensor A of size n in the TTr1SVD format to the Tucker (HOSVD) format. Usually results in a more sparse core S compared to traditional methods (e.g. Alternating Least Squares).

* O=orthc(A) or O=orthc(A,tol)

This function computes all outer vector products that form tensors orthogonal to A.

* ocv=verifyOrtc(A,O)

Use this function to verify that all tensors that can be formed with vectors in O are orthogonal to A.

2. Reference
------------

"A Constructive Algorithm for Decomposing a Tensor into a Finite Sum of Orthonormal Rank-1 Terms"

http://arxiv.org/abs/1407.1593

Authors: Kim Batselier, Haotian Liu, Ngai Wong

TTr1SVD

TTr1SVD 최신버젼 다운로드

오늘의 추천 프로젝트

Was this content helpful?

Recent Feedback

TTr1SVD

TTr1SVD 최신버젼 다운로드

오늘의 추천 프로젝트

Was this content helpful?

Recent Feedback

Download README