Dist2Dec: A Simplicial Neural Network for Homology Localization

Overview

Dist2Cycle : code, scripts & showcase

Paper: https://arxiv.org/abs/2110.15182

(preceded with $ are linux terminal commands)

Folders:

  • raw_data: contains raw data examples of 2D & 3D TORI datasets
  • datasets: 2D & 3D TORI processed datasets from raw_data in Hodge Laplacian graph form, ready for training and validating a Dist2Cycle model
  • models : trained models in 2D and 3D used to produce the results of the main paper
  • src : all necessary dataset and model definitions, alongside utility functions

Files:

  • dependencies.txt : code dependencies of python scripts & jupyter notebook

Python scripts:

  • gen_raw_data.py
    Generate raw data instances from the TORI dataset
    requires Shortloop
    Help: $ python gen_raw_data.py -h
    Example command:
    $ python gen_raw_data.py --dim 2 --npts 100 121 10 --ncomplexes 1 --fvals 2 --k 10 --prefix raw_data/2D/EXAMPLES --shortlooppath
  • gen_dataset.py
    Generate Hodge Laplacian graphs from raw data, suitable for training and evaluation
    Help:
    $ python gen_dataset.py -h
    Example command:
    $ python gen_dataset.py --rawdataset raw_data/2D/EX_Alpha_D2_HDim2_k10 --datasetname EX_Alpha_D2_HDim2_k10 --datasetsavedir datasets/2D
  • training_suite.py:
    Train a Dist2Cycle model, based on model_params.json configuration file provided
    Help:
    $ python training_suite.py
    Example command:
    $ python training_suite.py --model Dist2Cycle --rawdataset raw_data/2D/EX_Alpha_D2_HDim2_k10 --datasetpath datasets/2D/LAZY_EX_Alpha_D2_HDim2_k10_boundary_1HD_Lfunc_k10_7_6_0.0 --modelparams model_params.json --savedir models/CUSTOM_MODEL

Jupyter notebooks:

  • Dist2Cycle_showcase.ipynb:
    The notebook loads a trained model and evaluates it against a validation dataset, providing complex and regression vizualizations.
Owner
Alexandros Keros
PhD student in Computational Topology @ University of Edinburgh
Alexandros Keros
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