Summary
International Symposium on Nonlinear Theory and its Applications
2009
Session Number:B2L-C
Session:
Number:B2L-C2
Compact matrix form of the d-dimensional tensor decomposition
Ivan Oseledets,
pp.-
Publication Date:2009/10/18
Online ISSN:2188-5079
Summary:
We present a new tensor decomposition, which is nonrecursive, does not suffer from the curse of dimensionality, but has a viable stability properties and can be computed by a robust algorithm via a sequence of SVD decompositions. The new form gives a clear and convenient way to implement all basic operations efficiently. A fast recompression procedure is presented, as well as basic linear algebra operations.