Dynamical and Coupling Structure of Pulse-Coupled Networks in Maximum Entropy Analysis

作者: Douglas Zhou , David Cai , David Cai , David Cai , Zhi Qin John Xu

DOI: 10.3390/E21010076

关键词:

摘要: Maximum entropy principle (MEP) analysis with few non-zero effective interactions successfully characterizes the distribution of dynamical states pulse-coupled networks in many fields, e.g., neuroscience. To better understand underlying mechanism, we found a relation between structure, i.e., MEP analysis, and anatomical coupling structure it helps to how sparse could lead coding by interactions. This quantitatively displays is closely related structure.

参考文章(32)
Yang Dan, Jose-Manuel Alonso, W. Martin Usrey, R. Clay Reid, Coding of visual information by precisely correlated spikes in the lateral geniculate nucleus. Nature Neuroscience. ,vol. 1, pp. 501- 507 ,(1998) , 10.1038/2217
Yair Shemesh, Yehezkel Sztainberg, Oren Forkosh, Tamar Shlapobersky, Alon Chen, Elad Schneidman, High-order social interactions in groups of mice eLife. ,vol. 2, ,(2013) , 10.7554/ELIFE.00759
Mattias P Karlsson, Loren M Frank, Awake replay of remote experiences in the hippocampus. Nature Neuroscience. ,vol. 12, pp. 913- 918 ,(2009) , 10.1038/NN.2344
Andrea K. Barreiro, Julijana Gjorgjieva, Fred Rieke, Eric Shea-Brown, When do microcircuits produce beyond-pairwise correlations? Frontiers in Computational Neuroscience. ,vol. 8, pp. 10- 10 ,(2014) , 10.3389/FNCOM.2014.00010
Ed Bullmore, Olaf Sporns, Complex brain networks: graph theoretical analysis of structural and functional systems Nature Reviews Neuroscience. ,vol. 10, pp. 186- 198 ,(2009) , 10.1038/NRN2575
Zhaobin Wang, Yide Ma, Feiyan Cheng, Lizhen Yang, Review article: Review of pulse-coupled neural networks Image and Vision Computing. ,vol. 28, pp. 5- 13 ,(2010) , 10.1016/J.IMAVIS.2009.06.007
Takamitsu Watanabe, Satoshi Hirose, Hiroyuki Wada, Yoshio Imai, Toru Machida, Ichiro Shirouzu, Seiki Konishi, Yasushi Miyashita, Naoki Masuda, A pairwise maximum entropy model accurately describes resting-state human brain networks Nature Communications. ,vol. 4, pp. 1370- 1370 ,(2013) , 10.1038/NCOMMS2388
J. Shlens, G. D. Field, J. L. Gauthier, M. I. Grivich, D. Petrusca, A. Sher, A. M. Litke, E. J. Chichilnisky, The structure of multi-neuron firing patterns in primate retina The Journal of Neuroscience. ,vol. 26, pp. 8254- 8266 ,(2006) , 10.1523/JNEUROSCI.1282-06.2006
Douglas Zhou, Yanyang Xiao, Yaoyu Zhang, Zhiqin Xu, David Cai, Causal and structural connectivity of pulse-coupled nonlinear networks. Physical Review Letters. ,vol. 111, pp. 054102- 054102 ,(2013) , 10.1103/PHYSREVLETT.111.054102
E. T. Jaynes, Information Theory and Statistical Mechanics Physical Review. ,vol. 106, pp. 620- 630 ,(1957) , 10.1103/PHYSREV.106.620