October 8th（Tue）
@No.6(705)conference-room(S2-bldg, 7th-fl. Tokyo Institute of Technology Suzukaedai-campus)

14:00～15:00：Henrik Jeldtoft Jensen
“Measures of Emergent Collective Behaviour: Integrated Information, O-information and a Group Entropy Measure”

Abstract:
When analysing emergent dynamics, it is important to be able to quantify how much the whole differs from the sum of the parts. Tononi’s integration information [1] was suggested as measure able to capture consciousness. Recently it was suggested that the so-called O-information, which focus on synergy, but still based on Shannon’s entropy, may be a better implementation of Tononi’s idea ? that was the originally suggested measure. Going beyond the traditional Shannon based information theory, the Group Entropies by virtue of they composability axiom offer an entirely different way of quantifying systemic interconnectedness.

Refarences:
[1] D. Balduzzi and G. Tononi, Integrated information in discrete dynamical systems: motivation and theoretical framework, PLoS computational biology, vol. 4, no. 6, p. e1000091, 2008.
[2] F. Rosas, P.A.M. Mediano, Michael Gastpar and H.J. Jensen, Quantifying high-order interdependencies via multivariate extensions of the mutual information, arXiv:1902.11239. (To appear in PRE)
[3] H.J. Jensen and P. Tempesta, Group Entropies: From Phase Space Geometry to Entropy Functionals via Group Theory, Entropy 2018, 20, 804; doi:10.3390/e20100804.