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Simulations for our ICASSP2026 Paper

This package contains the code for reproducing the simulations of our paper:

Isabell Lehmann, B. Gabrielson, and T. Adali, Revisiting the Connection between mCCA-genvar and IVA-G: Role of Orthogonality and Deflation, submitted for ICASSP 2026.

Installing this Package

The only pre-requisite is to have Python 3 (version >=3.11) installed. This package can be installed (optionally in a virtual environment) with:

git clone https://github.com/SSTGroup/connection_mcca_genvar_iva_g
cd connection_mcca_genvar_iva_g
pip install -e .

Required third party packages will automatically be installed.

Generating Simulations and Results

IMPORTANT NOTE: A folder called simulation_results must manually be created in connection_mcca_genvar_iva_g before starting the simulations.

The simulations can be run by calling the functions test_save_paper_results_alpha() and test_save_paper_results_samples() in test_experiments.py. After running the code, the folder connection_mcca_genvar_iva_g/simulation_results will contain the generated .npy files.

Visualizing Results

The generated SCV covariance matrices can be visualized by calling the function test_plot_scv_covs_one_run() in test_experiments.py.

The results can be plotted by calling the functions test_plot_results_for_different_alpha() and test_plot_results_for_different_samples() in test_experiments.py.

Contact

In case of questions, suggestions, problems etc. please send an email to isabell.lehmann@sst.upb.de, or open an issue here on Github.

Citing

If you use this code in an academic paper, please cite [1]

@inproceedings{Lehmann2026,
  title   = {Revisiting the Connection between mCCA-genvar and IVA-G: Role of Orthogonality and Deflation},
  author  = {Lehmann, Isabell and Gabrielson, Ben and Adali, T{\"u}lay},
  booktitle={submitted for review},
  year={2026}
  } 

[1] Isabell Lehmann, B. Gabrielson, and T. Adali, Revisiting the Connection between mCCA-genvar and IVA-G: Role of Orthogonality and Deflation, submitted for review, 2026.

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