2014/09/30 by Moo K. Chung, Jamie L. Hanson, Jieping Ye +2 · 1 citation
Mathematics · Computer Science · #stat.ME #cs.CV
paper · pdf · doi:10.1109/tmi.2015.2416271
published as IEEE Transactions on Medical Imaging 2015 34:1928-1939 · submitted to IEEE Transactions on Medical Imaging
arxiv created 2015/03/09 · arxiv updated 2019/01/17
Sparse systems are usually parameterized by a tuning parameter that determines the sparsity of the system. How to choose the right tuning parameter is a fundamental and difficult problem in learning the sparse system. In this paper, by treating the the tuning parameter as an additional dimension, persistent homological structures over the parameter space is introduced and explored. The structures are then further exploited in speeding up the computation using the proposed soft-thresholding technique. The topological structures are further used as multivariate features in the tensor-based morphometry (TBM) in characterizing white matter alterations in children who have experienced severe early life stress and maltreatment. These analyses reveal that stress-exposed children exhibit more diffuse anatomical organization across the whole white matter region.