Ginestra Bianconi
(Queen Mary University of London)
 

Abstract:
We will cover topological signal processing and simplicial neural networks with the Dirac operator.
 
Prerequisites Lecture 1 and 2. Some basic notions of signal processing and machine learning might be beneficial.
 
Ref: Barbarossa, S. and Sardellitti, S., 2020. Topological signal processing over simplicial complexes. IEEE Transactions on Signal Processing, 68, pp.2992-3007.
L. Calmon M. Schaub and G.Bianconi Dirac signal processing of higher-order topological signals 2023 New J. Phys. 25 093013. Battiloro, C., Testa, L., Giusti, L., Sardellitti, S., Di Lorenzo, P. and Barbarossa, S., 2023. Generalized simplicial attention neural networks. arXiv preprint arXiv:2309.02138. Alain, M., Takao, S., Paige, B. and Deisenroth, M.P., 2023. Gaussian Processes on Cellular Complexes. arXiv preprint arXiv:2311.01198. Wee, J., Bianconi, G. and Xia, K., 2023. Persistent Dirac for molecular representation. Scientific Reports 13, Article number: 11183 (2023)