Re: Looking for: tensor-library for sparse tensor based triple store

Thank you both. Especially tensorlab looks promising. 
Best,Alex

Am Freitag, den 19.05.2017, 05:58 -0400 schrieb John Erickson:
> Tensorlab? http://tensorlab.net/

Am Freitag, den 19.05.2017, 16:10 +0200 schrieb Jörn Hees:
> RESCAL? https://github.com/mnick/rescal.py
> 
> Best,
> Jörn
> 
> > On 18 May 2017, at 18:28, Alexander Bigerl <bigerl@informatik.uni-l
> > eipzig.de> wrote:
> > 
> > Hi everyone,
> > 
> > I am working on a tensor-based triple store to query triple
> > patterns (not full SPARQL). Therefor I'm looking for a suitable
> > library supporting sparse tensor product. The programming language
> > doesn't matter. But it would be nice if it was optimized for
> > orthonormal-based tensors (means it doesn't need to distinguish
> > between co- and contravariant dimensions for multiplication).
> > 
> > In more detail:
> > 
> > I represent my my data like this:
> > 
> >  • I have tensors storing boolean values. 
> > 
> >  • They are n >= 3 dimensional and every dimension has the same
> > size m>1000000. 
> > 
> >  • Every dimension uses a natural number index 0...m.
> > 
> >  • The tensors are orthonormal-based so I don't need to
> > distinguish between co- and contraviarant dimensions. 
> > 
> >  • There are only very few true values in every tensor, so the
> > rest of the values is false. Therefor it should be sparse. Non-
> > sparse is no option because of at least 1000000^3 entries. 
> > 
> > I'm looking for: 
> > 
> >  • efficient sparse n-D tensor implementation with support of a
> > fast inner product like: Tαγβ • Dβδε = Rαγδε
> > 
> >  • optional: support for pipelining multiple operations
> > 
> >  • optional: support for logical and or pointwise multiplication
> > of equal-dimensioned tensors.
> > The following libraries don't do the trick for reasons:
> > 
> >  • Tensor flow: misses multiplication with non-dense-none-2D-
> > matrices
> >  • scipy sparse: supports only 2D representation and would
> > output a dense narray for dotproduct
> >  • theano: supports only 2D sparse tensors
> >  • Shared Scientific Toolbox and Universal Java Matrix Package:
> > don't support multiplication of n-D sparse tensors
> > Who is wandering now where the triples are: They are mapped to the
> > dimensions' index so that the coordinates of a true in a 3D Tensor
> > represents a triple.
> > 
> > I would be very thankful for any comments or recommendations. 
> > 
> > Kind regards,
> > 
> > Alexander Bigerl
> > 
> 
> 
>