On Fri, Jan 15, 2016 at 5:30 PM, Nathaniel Smith <n...@pobox.com> wrote: > > On Jan 15, 2016 8:36 AM, "Li Jiajia" <jiaji...@gatech.edu> wrote: > > > > Hi all, > > I’m a PhD student in Georgia Tech. Recently, we’re working on a survey paper about tensor algorithms: basic tensor operations, tensor decomposition and some tensor applications. We are making a table to compare the capabilities of different software and planning to include NumPy. We’d like to make sure these parameters are correct to make a fair compare. Although we have looked into the related documents, please help us to confirm these. Besides, if you think there are more features of your software and a more preferred citation, please let us know. We’ll consider to update them. We want to show NumPy supports tensors, and we also include "scikit-tensor” in our survey, which is based on NumPy. > > Please let me know any confusion or any advice! > > Thanks a lot! :-) > > > > Notice: > > 1. “YES/NO” to show whether or not the software supports the operation or has the feature. > > 2. “?” means we’re not sure of the feature, and please help us out. > > 3. “Tensor order” means the maximum number of tensor dimensions that users can do with this software. > > 4. For computational cores, > > 1) "Element-wise Tensor Operation (A * B)” includes element-wise add/minus/multiply/divide, also Kronecker, outer and Katri-Rao products. If the software contains one of them, we mark “YES”. > > 2) “TTM” means tensor-times-matrix multiplication. We distinguish TTM from tensor contraction. If the software includes tensor contraction, it can also support TTM. > > 3) For “MTTKRP”, we know most software can realize it through the above two operations. We mark it “YES”, only if an specified optimization for the whole operation. > > NumPy has support for working with multidimensional tensors, if you like, but it doesn't really use the tensor language and notation (preferring instead to think in terms of "arrays" as a somewhat more computationally focused and less mathematically focused conceptual framework). > > Which is to say that I actually have no idea what all those jargon terms you're asking about mean :-) I am suspicious that NumPy supports more of those operations than you have marked, just under different names/notation, but really can't tell either way for sure without knowing what exactly they are.
In particular check if your operations can be expressed with einsum() http://docs.scipy.org/doc/numpy-1.10.1/reference/generated/numpy.einsum.html -- Robert Kern
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