Defining Emergent Descriptions by Information Preservation

We propose a formalized approach for the characterization of the phenomenon of emergence, based on information-theoretic criteria. The proposed mechanism of description fits in well with existing approaches for the characterization of complex systems and also has ramifications towards existing algebraic models for coordinatizations of complex systems.

[1]  W. Rudin,et al.  Fourier Analysis on Groups. , 1965 .

[2]  Naftali Tishby,et al.  Agglomerative Multivariate Information Bottleneck , 2001, NIPS.

[3]  J. Frank Adams,et al.  Lectures on Lie groups , 1969 .

[4]  J. Crutchfield.  The calculi of emergence: computation, dynamics and induction , 1994 .

[5]  Martin Nilsson,et al.  Ansatz for Dynamical Hierarchies , 2002, Artificial Life.

[6]  Chrystopher L. Nehaniv.  Algebraic models for understanding: coordinate systems and cognitive empowerment , 1997, Proceedings Second International Conference on Cognitive Technology Humanizing the Information Age.

[7]  W. Rudin.  Fourier Analysis on Groups: Rudin/Fourier , 1990 .

[8]  C. Adami,et al.  Evolution of Biological Complexity , 2000, Proc. Natl. Acad. Sci. USA.

[9]  Moshe Sipper,et al.  Design, Observation, Surprise! A Test of Emergence , 1999, Artificial Life.

[10]  Chrystopher L. Nehaniv,et al.  Organization of the information flow in the perception-action loop of evolved agents , 2004, Proceedings. 2004 NASA/DoD Conference on Evolvable Hardware, 2004..

[11]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[12]  Tatsuya Nomura.  Formal Description of Autopoiesis Based on the Theory of Category , 2001, ECAL.

[13]  C. Adami,et al.  Introduction To Artificial Life , 1997, IEEE Trans. Evol. Comput..

[14]  A. I. Mees,et al.  Dynamics of feedback systems , 1981 .

[15]  Touchette,et al.  Information-theoretic limits of control , 1999, Physical review letters.

[16]  Yaneer Bar-Yam,et al.  Dynamics Of Complex Systems , 2019 .

[17]  Jürgen Perl,et al.  Behavior Classification with Self-Organizing Maps , 2000, RoboCup.

[18]  M. Born,et al.  Dynamical Theory of Crystal Lattices , 1954 .

[19]  Gustavo Deco,et al.  Information dynamics - foundations and applications , 2000 .

[20]  David H. Wolpert,et al.  Self-dissimilarity: an empirically observable complexity measure , 2000 .