References

This project is based on the following references:

• Barbarossa and Sardellitti [1]

• Jia et al. [2]

• Yang et al. [3] - Python repository.

• Yang and Isufi [4]

• Yang et al. [5] - Matlab repository.

[1]

Sergio Barbarossa and Stefania Sardellitti. Topological signal processing over simplicial complexes. IEEE Transactions on Signal Processing, 68():2992–3007, 2020. doi:10.1109/TSP.2020.2981920.

[2]

Junteng Jia, Michael T. Schaub, Santiago Segarra, and Austin R. Benson. Graph-based semi-supervised & active learning for edge flows. In Proceedings of the 25th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, KDD ’19. ACM, July 2019. URL: http://dx.doi.org/10.1145/3292500.3330872, doi:10.1145/3292500.3330872.

[3]

Maosheng Yang, Viacheslav Borovitskiy, and Elvin Isufi. Hodge-compositional edge gaussian processes. In Proceedings of The 27th International Conference on Artificial Intelligence and Statistics, volume 238 of Proceedings of Machine Learning Research, 3754–3762. PMLR, 02–04 May 2024.

[4]

Maosheng Yang and Elvin Isufi. Simplicial trend filtering (invited paper). In 2022 56th Asilomar Conference on Signals, Systems, and Computers, volume, 930–934. 2022. doi:10.1109/IEEECONF56349.2022.10051892.

[5]

Maosheng Yang, Elvin Isufi, Michael T Schaub, and Geert Leus. Simplicial convolutional filters. IEEE Transactions on Signal Processing, 70:4633–4648, 2022.