Last minute GSoC2017 idea: Tensor methods for NMatrix

[Alexej Gossmann]

Hi all,

I have a last minute idea for a GSoC project. It involves either adding tensor methods to NMatrix or building a separate gem (NTensor or something). There seems to be a great lack of tensor libraries available to the scientific community, apart from a couple Matlab toolboxes (but not everyone has access to Matlab, or has any desire to use it). See this article: https://www.oreilly.com/ideas/lets-build-open-source-tensor-libraries-for-data-science. Some detail on the proposed project is given below.

A tensor is essentially a multidimensional array, which NMatrix has already some support for. This project would involve:

1. Implementation of basic tensor operations, such as outer product, n-mode product, slicing, matricization, etc.

2. Implementation of tensor decompositions, such as CANDECOMP/PARAFAC, Tucker, higher-order SVD, etc.

3. Implementation of further tensor methods used in machine learning / data science, such as tensor regression.

Prerequisites on the student:

- Should be able to understand very well Kolda&Bader "Tensor Decompositions and Applications" (http://epubs.siam.org/doi/abs/10.1137/07070111X?journalCode=siread&).

Sorry for the last minute notice. Just a few days ago, I have stumbled upon the lack of tools for tensor analysis, as I was preparing to try out the methodology on my own research.

If you are interested to be a student or a mentor let me know.

Best,

Alexej

[Alexej Gossmann]

Just to clarify: I can mentor this project if there is a student.

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[Sameer Deshmukh]

Sure. Can you add this to the ideas page?

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[Alexej Gossmann]

Yes, I've added it to the ideas page.

Alexej

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