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Properties of Persistent Mutual Information and Emergence [article]

Peter Gmeiner
2012 arXiv   pre-print
The persistent mutual information (PMI) is a complexity measure for stochastic processes. It is related to well-known complexity measures like excess entropy or statistical complexity.  ...  Furthermore we show some properties of the PMI and calculate it explicitly for some example processes.  ...  Acknowledgment I would like to thank Andreas Knauf for motivating me to work on this project, for his constant support and many useful discussions and suggestions.  ... 
arXiv:1210.5058v1 fatcat:m7fvmkj6lzaxvedakytrjzlkkq

Defining and Detecting Emergence in Complex Networks [chapter]

Fabio Boschetti, Mikhail Prokopenko, Ian Macreadie, Anne-Marie Grisogono
2005 Lecture Notes in Computer Science  
In particular, trajectories of entropy¨ © and mutual information © !  ...  Emergent patterns in multi-agent systems: macro-level Langton has identified in his seminal work [13] an increase in the mutual information as an indication of a phase transition from "order" to "chaos  ...  tools for the formal and experimental study of emergent properties.  ... 
doi:10.1007/11554028_79 fatcat:gjs72lvzlzbxhna5qrwyiqfuzq

Quantifying Emergence in terms of Persistent Mutual Information [article]

R. C. Ball, M. Diakonova, R. S. MacKay
2010 arXiv   pre-print
We define Persistent Mutual Information (PMI) as the Mutual (Shannon) Information between the past history of a system and its evolution significantly later in the future.  ...  The key feature of our definition of PMI is the omission of an interval of 'present' time, so that the mutual information between close times is excluded: this renders PMI robust to superposed noise or  ...  Acknowledgements We acknowledge separate communications from P Grassberger, D Feldman and W Bialek which were particularly helpful in terms of references.  ... 
arXiv:1003.3028v2 fatcat:buctbhibn5e7jnsure7lhuapou

QUANTIFYING EMERGENCE IN TERMS OF PERSISTENT MUTUAL INFORMATION

ROBIN C. BALL, MARINA DIAKONOVA, ROBERT S. MACKAY
2010 Advances in Complex Systems  
We define Persistent Mutual Information (PMI) as the Mutual (Shannon) Information between the past history of a system and its evolution significantly later in the future.  ...  The key feature of our definition of PMI is the omission of an interval of "present" time, so that the mutual information between close times is excluded: this renders PMI robust to superposed noise or  ...  Persistent Mutual Information Within an ensemble of histories of the system, we can quantify strong emergence in terms of mutual information between past and future history which persists across an interval  ... 
doi:10.1142/s021952591000258x fatcat:p7uim3fi5fbzjfaqpu4scughj4

Emergence of structural and dynamical properties of ecological mutualistic networks

Samir Suweis, Filippo Simini, Jayanth R. Banavar, Amos Maritan
2013 Nature  
Our work provides a unifying framework for studying the emergent structural and dynamical properties of ecological mutualistic networks.  ...  Mutualism between animals and plants plays a key role in the organization of ecological communities.  ...  Acknowledgements AM and SS acknowledge Cariparo foundation for financial support and Studio 7  ... 
doi:10.1038/nature12438 pmid:23969462 fatcat:gwgwiihxkfgo7lnrio5idxqbdi

Reality - an emerging representation of the world [article]

Martin A. Green
2009 arXiv   pre-print
Emergence of the future demands non-unitary reduction of quantum states and increased Kolmogorov complexity of the quasi-classical records in terms of which the quantum states are known.  ...  The past is encoded in and inferred from present records; the anticipated future will preserve present information and reveal unpredictable new information about W.  ...  7 Acknowledgements I thank Harvey Brown, Olaf Dreyer, Stephen Green, John Moffat and Hans Westman for helpful discussions and feedback. I am grateful to the Perimeter Institute for hospitality.  ... 
arXiv:0812.0418v2 fatcat:3qbsrwivcvdvzljxu4oxltnuym

Investor confidence and mutual fund performance in emerging markets

Ann-Ngoc Nguyen, Muhammad Sadiq Shahid, David Kernohan
2018 Journal of economic studies  
In Pakistan and India, two leading emerging markets, mutual funds have recently become a popular form of investment.  ...  Empirical studies of mutual funds in emerging markets J o u r n a l o f E c o n o m i c S t u d i e s 12 While a large number of studies have been conducted in developed markets, frontier and emerging  ... 
doi:10.1108/jes-07-2017-0175 fatcat:soyfhvn2vremnp2uamsvw63faa

Emergence of structural and dynamical properties of ecological mutualistic networks [article]

Samir Suweis, Filippo Simini, Jayanth Banavar, Amos Maritan
2014 bioRxiv   pre-print
Our work provides a unifying framework for studying the emergent structural and dynamical properties of ecological mutualistic networks.  ...  Mutualism between animals and plants has a key role in the organization of ecological communities.  ...  Acknowledgements AM and SS acknowledge Cariparo foundation for financial support and Studio 7  ... 
doi:10.1101/001818 fatcat:hdzierf5jnfd7p26zazr7gczgm

Modelling Social Learning of Adolescence-Limited Criminal Behaviour [chapter]

Tibor Bosse, Charlotte Gerritsen, Michel C. A. Klein
2010 Communications in Computer and Information Science  
Motivation Within Criminology, the analysis of the emergence of criminal behaviour is one of the main challenges [4] . An important mechanism behind this emergence is social learning [3] .  ...  To analyse this mechanism, this paper presents an agent-based approach to simulate social learning, which specifically addresses the mutual influence of peers, parents and school, with respect to delinquent  ...  Motivation Within Criminology, the analysis of the emergence of criminal behaviour is one of the main challenges [4] . An important mechanism behind this emergence is social learning [3] .  ... 
doi:10.1007/978-3-642-11819-7_2 fatcat:wypeezk3nvdw3gvcjseadx552u

Non-equilibrium landscape and flux reveal the stability-flexibility-energy tradeoff in working memory

Han Yan, Jin Wang, Yasser Roudi
2020 PLoS Computational Biology  
We found that an optimal compromise for a working memory circuit between the robustness and the flexibility can be achieved through the emergence of an intermediate state between the working memory states  ...  Uncovering the underlying biophysical principles of emergent collective computational abilities, such as working memory, in neural circuits is one of the most essential concerns in modern neuroscience.  ...  Acknowledgments We thank Kun Zhang and Li Xu for valuable discussions and suggestions related to this manuscript.  ... 
doi:10.1371/journal.pcbi.1008209 pmid:33006962 fatcat:nib4uvfnr5emjcbl7woaedi2cu

Chaos and scaling in daily river flow [article]

M. De Domenico, M. Ali Ghorbani
2011 arXiv   pre-print
Results from the Hurst exponent and Rényi dimension analyses reveal the multifractal character of the flow dynamics, with persistent and anti-persistent behaviors observed at different time scales.  ...  Adequate knowledge of the nature of river flow process is crucial for proper planning and management of our water resources and environment.  ...  The average mutual information (AMI) approach gets the optimal delay time τ as the first local minimum [32] of the information measure I(τ ) = ij pij(τ ) log pij(τ ) pi(τ )pj(τ ) (2) where pi and pj  ... 
arXiv:1002.0076v2 fatcat:6kj7uf3azzcbrl2j7pffnfxbbu

The Pattern Which Connects Pleroma to Creatura: The Autocell Bridge from Physics to Life [chapter]

Terrence Deacon, Jeremy Sherman
2008 Biosemiotics  
By his own standards Gregory Bateson was unsuccessful in his life-long quest to explain how the informational or living realm (creatura) could emerge out of the energetic or physical realm (pleroma).  ...  Autocells are shown to have the rudiments of individuality, end-directedness, function, and valuation; thus bridging the critical initial gap between pleroma and creatura.  ...  global properties emerge as these interactions produce a kind of vast regression toward the mean.  ... 
doi:10.1007/978-1-4020-6706-8_5 fatcat:c6pfnyrlzzhrbbwi4ypgeehaz4

Quantum Darwinism in a structured spin environment [article]

E. Ryan, M. Paternostro, S. Campbell
2020 arXiv   pre-print
We demonstrate that the presence or absence of quantum Darwinistic features can be understood by analysing the correlations within a layer using total mutual information and global quantum discord.  ...  We examine the emergence and suppression of signatures of quantum Darwinism when the system of interest interacts with a complex, structured environment.  ...  Total Mutual Information and Global Quantum Discord In order for objectivity to emerge, strong correlations must be established throughout the compound.  ... 
arXiv:2011.13385v1 fatcat:uxryulz54zb6fjyintg27g6uhy

Persistent topological features of dynamical systems

Slobodan Maletić, Yi Zhao, Milan Rajković
2016 Chaos  
Persistent homology of simplicial complex and its relationship with the embedding dimensions are examined by studying the lifetime of topological features and topological noise.  ...  The consistency of topological properties for different dynamic regimes and embedding dimensions is examined.  ...  We extend these basic qualitative information by the application of persistent homology [27] and the quantities emerging from the Q-analysis [19] , [28] .  ... 
doi:10.1063/1.4949472 pmid:27249945 fatcat:vlgmziekynbknaublvh2lh7xdi

Formation and Maintenance of Robust Long-Term Information Storage in the Presence of Synaptic Turnover

Michael Fauth, Florentin Wörgötter, Christian Tetzlaff, Jeff Beck
2015 PLoS Computational Biology  
This leads to a desirable property: information about these altered activities can be stored much faster than it is forgotten.  ...  To address this problem, here we are using a generic and simple probabilistic model for the creation and removal of synapses.  ...  t (i.e., S(t)) as random variables, we can evaluate the mutual information between them as Mutual information between number of synapses and stimulus (Fig. 5 ) Similarly, the mutual information between  ... 
doi:10.1371/journal.pcbi.1004684 pmid:26713858 pmcid:PMC4699846 fatcat:xs54kyd4izdgdew3qfi4d6pu2m
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