🚀 Grounding Continuous Representations in Geometry: Equivariant Neural Fields

Authors: David R. Wessels*, David M. Knigge*, Riccardo Valperga, Samuele Papa, Sharvaree Vadgama, Efstratios Gavves, Erik J. Bekkers

**equal contribution *

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Overview

This is the reproducibility repo for the paper "Grounding Continuous Representations in Geometry: Equivariant Neural Fields". All experiments in the paper should be reproducible using the code in this repository. Data for the experiments is mostly downloadable via torch-dataloaders. However, the celeb-A dataset should be downloaded via the following https://mmlab.ie.cuhk.edu.hk/projects/CelebA.html. Shapenet data is downloaded via the https://www.shapenet.org/ website.

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Requirements

To install the requirements, we use conda. We recommend creating a new environment for the project.

conda create -n enf-jax python=3.11
conda activate enf-jax

Install the relevant dependencies.

pip install torch torchvision torchaudio --index-url https://download.pytorch.org/whl/cpu
pip install --upgrade "jax[cuda12]" -f https://storage.googleapis.com/jax-releases/jax_cuda_releases.html
pip install optax flax orbax wandb matplotlib trimesh hydra-core tqdm netCDF4 py-pde
conda install -c conda-forge dedalus

With pyenv, you can install python 3.11 as follows:

pyenv install 3.11.1
pyenv virtualenv 3.11.1 enf-jax
pyenv activate enf-jax

pip install -r requirements.txt
pip install -e .

Repo structure

We list relevant components of the repository here:

• enf/ contains the code for the Equivariant Neural Field.
• enf/steerable_attention/invariant/ contains the code for the bi-invariants used in the experiments.
• experiments/ contains the code for all experiments in the paper.

Experiments

We specify commands per experiment in the experiments readme.

Citation

If you find this code useful, please consider citing our paper:

@article{wessels2024grounding,
  title={Grounding Continuous Representations in Geometry: Equivariant Neural Fields},
  author={Wessels, David R and Knigge, David M and Papa, Samuele and Valperga, Riccardo and Vadgama, Sharvaree and Gavves, Efstratios and Bekkers, Erik J},
  journal={arXiv preprint arXiv:2406.05753},
  year={2024}
}