[AISTATS 2025] GAGA 💃🪩

Geometry-Aware Generative Autoencoder for
Warped Riemannian Metric Learning and Generative Modeling on Data Manifolds

Citation

If you find this work useful in your research, please consider citing:

@inproceedings{sun2025geometry,
  title={Geometry-Aware Generative Autoencoders for Warped Riemannian Metric Learning and Generative Modeling on Data Manifolds}, 
  author={Xingzhi Sun and Danqi Liao and Kincaid MacDonald and Yanlei Zhang and Chen Liu and Guillaume Huguet and Guy Wolf and Ian Adelstein and Tim G. J. Rudner and Smita Krishnaswamy},
  booktitle={International Conference on Artificial Intelligence and Statistics},
  year={2025},
  organization={PMLR},      
}

Installation

conda create -n dmae -c conda-forge python=3.11.5
conda activate dmae
pip install -r requirements.txt
pip install -e . # install the package in dev mode.

If you also want to use jupyter notebooks, install

conda install -c anaconda ipykernel
python -m ipykernel install --user --name=dmae

Visualizing the geometry-aware encoder

Example with toy swiss roll data (npy format)

• Generate the data: notebooks/swiss_roll_data.ipynb
• run the model:

cd src
python main.py \
    logger.use_wandb=False \
    data.file_type=npy \
    data.require_phate=False \
    data.datapath=../data/swiss_roll.npy \
    data.phatepath=../data/swiss_roll_phate.npy \
    training.max_epochs=5

• check the results: notebooks/swiss_roll_result.ipynb

Example with BMMC myeloid data (anndata format)

• download the data from https://github.com/KrishnaswamyLab/PHATE/blob/main/data/BMMC_myeloid.csv.gz
• prepare the data with notebooks/myeloid_data.ipynb
• run the model:

cd src
python main.py \
    logger.use_wandb=False \
    data.file_type=h5ad \
    data.require_phate=False \
    data.datapath=../data/BMMC_myeloid.h5ad

• check the results: notebooks/BMMC_myeloid_result.ipynb

Transporting population for single-cell data

• Download the data from kaggle
• Prepare the data with notebooks/multi_data.ipynb and notebooks/cite_data.ipynb
• Train the model (the example runs for CITE data in 100 PCA dimension)

cd notebooks/flow_matching
./train.sh

• Evaluate the model (the example runs for CITE data in 100 PCA dimension)

cd notebooks/flow_matching
./eval.sh