Explore the potential of topological structure information hidden inside higher dimensional data.

Due to the data protocal and the need of paper pubulication, the data and main function have not been uploaded yet. If you feel interested, please contact me directly!!!

Key words: Unsupervised Geometric Learning, Graph-Spectral theory, Image enhancement

[1] Fanuel, Michaël, Carlos M. Alaiz, and Johan AK Suykens. "Magnetic eigenmaps for community detection in directed networks." Physical Review E 95.2 (2017): 022302.

[2] Zhang, Jie, et al. "MGC: A complex-valued graph convolutional network for directed graphs." arXiv preprint arXiv:2110.07570 (2021).

[3] Melas-Kyriazi, Luke, et al. "Deep spectral methods: A surprisingly strong baseline for unsupervised semantic segmentation and localization." Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition. 2022.

[4] Anand, D. Vijay, and Moo K. Chung. "Hodge Laplacian of brain networks." IEEE Transactions on Medical Imaging (2023).