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PyTorch implementation of GMLS-Nets. Machine learning methods for scattered unstructured data sets. Methods for learning differential operators, PDEs, and other features.

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GMLS-Nets

Examples | Documentation

GMLS-Nets (PyTorch Implementation)

Package provides machine learning methods for learning features from scattered unstructured data sets using Generalized Moving Least Squares (GMLS). Provides techniques which can be used to generalize approaches, such as Convolutional Neural Networks (CNNs) which utilize translational and other symmetry, to unstructured data. GMLS-Nets package also provides approaches for learning differential operators, PDEs, and other features from scattered data.

Quick Start

Method 1: Install for python using pip

pip install -U gmlsnets-pytorch

For use of the package see the examples page. For getting the latest version use pip install --upgrade gmlsnets-pytorch. More information on the structure of the package also can be found on the documentation page.

If previously installed the package, please update to the latest version using pip install --upgrade gmlsnets-pytorch

Manual Installation

Method 2: Download the gmlsnets_pytorch-1.0.0.tar.gz file above, then uncompress

tar -xvf gmlsnets_pytorch-1.0.0.tar.gz

For local install, please be sure to edit in your codes the path location of base directory by adding

sys.path.append('package-path-location-here');

Note the package resides in the sub-directory ./gmlsnets_pytorch-1.0.0/gmlsnets_pytorch/

Packages

Please be sure to install PyTorch package >= 1.2.0 with Python 3 (ideally >= 3.7). Also, be sure to install the following packages: numpy>=1.16, scipy>=1.3, matplotlib>=3.0.

Use

For examples and documentation, see

Examples

Documentation

Additional Information

If you find these codes or methods helpful for your project, please cite:

GMLS-Nets: A Framework for Learning from Unstructured Data, N. Trask, R. G. Patel, B. J. Gross, and P. J. Atzberger, arXiv:1909.05371, (2019), [arXiv].

@article{trask_patel_gross_atzberger_GMLS_Nets_2019,
  title={GMLS-Nets: A framework for learning from unstructured data},
  author={Nathaniel Trask, Ravi G. Patel, Ben J. Gross, Paul J. Atzberger},
  journal={arXiv:1909.05371},  
  month={September}
  year={2019}
  url={https://arxiv.org/abs/1909.05371}
}

For TensorFlow implementation of GMLS-Nets, see https://github.com/rgp62/gmls-nets.

Acknowledgements We gratefully acknowledge support from DOE Grant ASCR PHILMS DE-SC0019246.


Examples | Documentation | Atzberger Homepage

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PyTorch implementation of GMLS-Nets. Machine learning methods for scattered unstructured data sets. Methods for learning differential operators, PDEs, and other features.

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