The Hodge-decomposition is explained in Anan, D.V., Chung, M.K. 2024 Hodge decomposition of brain networks, ISBI. Poster version is available here. The script Example-HodgeDecomposition.m explains how to perform the Hodge Decomposition of a given connectivity matrix.
(C) 2024 Vijay D. Anand,Chung, M.K. University of Wisconsin-Madison
The project is funded in part by NIH MH133614.
The code performs the Hodge Laplacian based modeling of cycles in brain networks. The code also performs various Hodge Laplacian based computations published in
Anand and Chung 2023 Hodge Laplacian of Brain Networks, IEEE Transactions on Medical Imaging 42:1563-1573.
The script EXAMPLE.hodgelaplacian.m explains how to compute the eigenvectors of the Hodge Laplacin using Figure 2 example given in the paper. The script SIMULATION_Anand.2022.TMI.m performs the simulation study given in the Validation section of the paper. A shorter MICCAI confernce version of the paper is published in
Darkurah, S., Anand, D.V., Chen, Z., Chung, M.K., 2022 Modelling cycles in brain networks with the hodge Laplacian, MICCAI, LNCS 13431:326-355, which received the travel award as one of the best papers in the conference.
The script SIMULATION_Dakurah.2022.MICCAI.m reproduces the simulation study done in the MICCAI paper.
(C) 2022 Vijay D. Anand, Dakurah, S., Chen, Z., Chung, M.K. University of Wisconsin-Madison
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