Statistical Analysis and Data Mining

Fused lasso regression for identifying differential correlations in brain connectome graphs

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  • Author(s): Donghyeon Yu, Sang Han Lee, Johan Lim, Guanghua Xiao, Richard Cameron Craddock, Bharat B. Biswal
  • Article first published online: 11 Jul 2018
  • DOI: 10.1002/sam.11382
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In this paper, we propose a procedure to find differential edges between 2 graphs from high‐dimensional data. We estimate 2 matrices of partial correlations and their differences by solving a penalized regression problem. We assume sparsity only on differences between 2 graphs, not graphs themselves. Thus, we impose an 2 penalty on partial correlations and an 1 penalty on their differences in the penalized regression problem. We apply the proposed procedure in finding differential functional connectivity between healthy individuals and Alzheimer's disease patients.

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