Sparse representations from moments

B. Mourrain

Here are Jupyter notebooks related to sparse representation and tensor decomposition.

Installation

To be able to execute the notebook commands, the following tools should be installed first:

• Julia version >= 1.0
• Jupyter. See here how to run it from your web browser.
• Julia package TensorDec.jl. See how to install it here, its documentation here and its development site here.

Notebooks

1. Decomposition algorithm in action
2. Multivariate prony method
3. Dirac measures
4. Symmetric tensor decomposition
5. Multilinear tensor decomposition
6. Decoding Algebraic codes
7. Phylogenetic trees

To use these notebooks, you can download them on your computer ([save link as ...]) and then run in the folder where these notebooks are saved:

jupyter notebook

Then in your browser, you can select, open and run the notebooks.

Here is a link to their contents.