Tensor-Train decomposition in pytorch

Tensor-Train decomposition package written only in Python on top of pytorch. Supports GPU acceleration and automatic differentiation. It also contains routines for solving linear systems in the TT format and performing adaptive cross approximation (the AMEN solver/cross interpolation is inspired form the MATLAB TT-Toolbox).

Following requirements are needed:

• python>=3.6
• torch>=1.7.0
• numpy>=1.18
• opt_einsum

The GPU (if available) version of pytorch is recommended to be installed. Read the official installation guide for further info.

You can install the package using the pip command:

pip install git+https://github.com/ion-g-ion/torchTT

One can also clone the repository and manually install the package:

git clone https://github.com/ion-g-ion/torchTT
cd torchtt
pip install .

TODO

The main modules/submodules that can be accessed after importing torchtt are briefly desctibed in the following table. Detailed description can be found here.

The directory tests/ from the root folder contains all the unittests. To run them use the command:

python -m unittest discover tests/

The documentation ca be found here. Following example scripts (as well as python notebooks) are also provied provided as part of the documentation:

• basic_tutorial.py / basic_tutorial.ipynp: This contains a basic tutorial on decomposing full tensors in the TT format as well as performing rank rounding, slicing (Try on Google Colab).
• basic_linalg.py / basic_linalg.ipynp: This tutorial presents all the algebra operations that can be performed in the TT format (Try on Google Colab).
• efficient_linalg.py / efficient_linalg.ipynb: contains the DMRG for fast matves and AMEN for elementwise inversion in the TT format (Try on Google Colab).
• automatic_differentiation.py / automatic_differentiation.ipynp: Basic tutorial on AD in torchtt (Try on Google Colab).
• cross_interpolation.py / cross_interpolation.ipynb: In this script, the cross interpolation emthod is exemplified (Try on Google Colab).
• system_solvers.py / system_solvers.ipynb: This contains the bais ussage of the multilinear solvers (Try on Google Colab).
• cuda.py / cuda.ipynb: This provides an example on how to use the GPU acceleration (Try on Google Colab).
• basic_nn.py / basic_nn.ipynb: This provides an example on how to use the TT neural network layers (Try on Google Colab).
• mnist_nn.py / mnist_nn.ipynb: Example of TT layers used for image classification (Try on Google Colab).

The documentation is generated using pdoc3 with:

pdoc3 --html torchtt -o docs/ --config latex_math=True --force

Ion Gabriel Ion, e-mail: [email protected]