Exact Topological Inference For Paired Brain Networks Via Persistent Homology

作者: Moo K. Chung , Victoria Villalta-Gil , Hyekyoung Lee , Paul J. Rathouz , Benjamin B. Lahey

DOI: 10.1101/140533

关键词:

摘要: We present a novel framework for characterizing paired brain networks using techniques in hyper-networks, sparse learning and persistent homology. The is general enough dealing with any type of images such as twins, multimodal longitudinal images. exact nonparametric statistical inference procedure derived on testing monotonic graph theory features that do not rely time consuming permutation tests. proposed method computes the probability quadratic while tests require exponential time. As illustrations, we apply to simulated twin fMRI study. In case latter, determine significance heritability index large-scale reward network where every voxel node.

参考文章(14)
Hyekyoung Lee, Moo K. Chung, Hyejin Kang, Boong-Nyun Kim, Dong Soo Lee, Computing the Shape of Brain Networks Using Graph Filtration and Gromov-Hausdorff Metric Lecture Notes in Computer Science. ,vol. 14, pp. 302- 309 ,(2011) , 10.1007/978-3-642-23629-7_37
Biao Jie, Dinggang Shen, Daoqiang Zhang, Brain connectivity hyper-network for MCI classification. medical image computing and computer-assisted intervention. ,vol. 17, pp. 724- 732 ,(2014) , 10.1007/978-3-319-10470-6_90
Hyekyoung Lee, Hyejin Kang, Moo K Chung, Seonhee Lim, Bung‐Nyun Kim, Dong Soo Lee, None, Integrated multimodal network approach to PET and MRI based on multidimensional persistent homology Human Brain Mapping. ,vol. 38, pp. 1387- 1402 ,(2017) , 10.1002/HBM.23461
Walter Böhm, Kurt Hornik, A Kolmogorov-Smirnov Test for r Samples Fundamenta Informaticae. ,vol. 117, pp. 103- 125 ,(2012) , 10.3233/FI-2012-690
B. J. Pichler, A. Kolb, T. Nagele, H.-P. Schlemmer, PET/MRI: Paving the Way for the Next Generation of Clinical Multimodality Imaging Applications Journal of Nuclear Medicine. ,vol. 51, pp. 333- 336 ,(2010) , 10.2967/JNUMED.109.061853
Peter A. Freeborough, Nick C. Fox, Modeling brain deformations in Alzheimer disease by fluid registration of serial 3D MR images. Journal of Computer Assisted Tomography. ,vol. 22, pp. 838- 843 ,(1998) , 10.1097/00004728-199809000-00031
Byoung-Tak Zhang, Hypernetworks: A Molecular Evolutionary Architecture for Cognitive Learning and Memory IEEE Computational Intelligence Magazine. ,vol. 3, pp. 49- 63 ,(2008) , 10.1109/MCI.2008.926615
Brian Knutson, Charles M. Adams, Grace W. Fong, Daniel Hommer, Anticipation of increasing monetary reward selectively recruits nucleus accumbens. The Journal of Neuroscience. ,vol. 21, ,(2001) , 10.1523/JNEUROSCI.21-16-J0002.2001
Jean Dickinson Gibbons, Subhabrata Chakraborti, Nonparametric Statistical Inference ,(1971)
Paul M. Thompson, Tyrone D. Cannon, Katherine L. Narr, Theo van Erp, Veli-Pekka Poutanen, Matti Huttunen, Jouko Lönnqvist, Carl-Gustaf Standertskjöld-Nordenstam, Jaakko Kaprio, Mohammad Khaledy, Rajneesh Dail, Chris I. Zoumalan, Arthur W. Toga, Genetic influences on brain structure Nature Neuroscience. ,vol. 4, pp. 1253- 1258 ,(2001) , 10.1038/NN758