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Analysis of complex neural circuits with nonlinear multidimensional hidden state models.


ABSTRACT: A universal need in understanding complex networks is the identification of individual information channels and their mutual interactions under different conditions. In neuroscience, our premier example, networks made up of billions of nodes dynamically interact to bring about thought and action. Granger causality is a powerful tool for identifying linear interactions, but handling nonlinear interactions remains an unmet challenge. We present a nonlinear multidimensional hidden state (NMHS) approach that achieves interaction strength analysis and decoding of networks with nonlinear interactions by including latent state variables for each node in the network. We compare NMHS to Granger causality in analyzing neural circuit recordings and simulations, improvised music, and sociodemographic data. We conclude that NMHS significantly extends the scope of analyses of multidimensional, nonlinear networks, notably in coping with the complexity of the brain.

SUBMITTER: Friedman A 

PROVIDER: S-EPMC4988606 | biostudies-literature | 2016 Jun

REPOSITORIES: biostudies-literature

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Analysis of complex neural circuits with nonlinear multidimensional hidden state models.

Friedman Alexander A   Slocum Alanna F AF   Tyulmankov Danil D   Gibb Leif G LG   Altshuler Alex A   Ruangwises Suthee S   Shi Qinru Q   Toro Arana Sebastian E SE   Beck Dirk W DW   Sholes Jacquelyn E C JE   Graybiel Ann M AM  

Proceedings of the National Academy of Sciences of the United States of America 20160524 23


A universal need in understanding complex networks is the identification of individual information channels and their mutual interactions under different conditions. In neuroscience, our premier example, networks made up of billions of nodes dynamically interact to bring about thought and action. Granger causality is a powerful tool for identifying linear interactions, but handling nonlinear interactions remains an unmet challenge. We present a nonlinear multidimensional hidden state (NMHS) appr  ...[more]

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