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We introduce a notion of emergence for coarse-grained macroscopic variables associated with highly-multivariate microscopic dynamical processes, in the context of a coupled dynamical environment.
An introduction to the Lie Theory of One-Parameter Groups, with Applications to the Solution of Differential Equations
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Mathematical Methods of Classical Mechanics
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van Overschee, P. and de Moor, B. L. R. (1996) · 1996
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Bedau, M. A. (1997) · 1997
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Symbolic dynamics and Markov partitions
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The geometry of algorithms with orthogonality constraints
Edelman, A., Arias, T., and Smith, S. T. (1998) · 1998
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Graphical models for probabilistic and causal reasoning
Pearl, J. (1998) · 1998
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The Statistical Theory of Linear Systems
Hannan, E. J. and Deistler, M. (2012) · 2012
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Doubling algorithms with permuted Lagrangian graph bases
Mehrmann, V. and Poloni, F. (2012) · 2012
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Transfer entropy as a log-likelihood ratio
Barnett, L. and Bossomaier, T. (2013) · 2013
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The cross-entropy method for optimization
Botev, Z. I., Kroese, D. P., Rubinstein, R. Y., and L’Ecuyer, P. (2013) · 2013
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Cavagna, A., Duarte Queirós, S. M., Giardina, I., Stefanini, F., and Viale, M. (2013) · 2013
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Friston, K., Moran, R., and Seth, A. K. (2013) · 2013
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Schreiber, T. (2000) · 2000
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Paluš, M., Komárek, V., Hrnčíř, Z., and Štěrbová, K. (2001) · 2001
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A default mode of brain function
Raichle, M. E., MacLeod, A. M., Snyder, A. Z., Powers, W. J., Gusnard, D. A., and Shulman, G. L. (2001) · 2001
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Information transfer in continuous processes
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Stochastic Differential Equations: An Introduction with Applications
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Shalizi, C. R. and Moore, C. (2003) · 2003
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Quantifying causal emergence shows that macro can beat micro
Hoel, E. P., Albantakis, L., and Tononi, G. (2013) · 2013
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Seth, A. K., Barrett, A. B., and Barnett, L. (2015) · 2015
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Bossomaier, T., Barnett, L., Harré, M., and Lizier, J. T. (2016) · 2016
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Spinney, R. E., Prokopenko, M., and Lizier, J. T. (2017) · 2017
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Partial information decomposition as a unified approach to the specification of neural goal functions
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On the statistical mechanics of life: Schrödinger revisited
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Volumetric Ca2+ imaging in the mouse brain using hybrid multiplexed sculpted light microscopy
Weisenburger, S., Tejera, F., Demas, J., Chen, B., Manley, J., Sparks, F. T., Martínez Traub, F., Daigle, T., Zeng, H., Losonczy, A., and Vaziri, A. (2019) · 2019
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Information closure theory of consciousness
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The information theory of individuality
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Parcels and particles: Markov blankets in the brain
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