Entropic Approach to the Detection of Crucial Events

Culbreth, Garland; West, Bruce J.; Grigolini, Paolo

doi:10.3390/e21020178

Cited by 26 publications

(54 citation statements)

References 63 publications

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“…However, recent research suggests there may be different types of LRTC at play in these various systems and not distinguishing them carefully may be leading to false conclusions about criticality. For example, the discovery of crucial events in the area of turbulence led to the identification of "crucial event LRTC" or CELRTC (Bohara et al, 2018;Culbreth et al, 2019). CELRTC emerges in critical systems, specifically self-organized temporal criticality (SOTC) and is based on a slowly-decaying, nonstationary correlation function (Mahmoodi et al, 2017).…”

Section: Resultsmentioning

confidence: 99%

Why Brain Criticality Is Clinically Relevant: A Scoping Review

Zimmern

2020

Front. Neural Circuits

132

118

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The past 25 years have seen a strong increase in the number of publications related to criticality in different areas of neuroscience. The potential of criticality to explain various brain properties, including optimal information processing, has made it an increasingly exciting area of investigation for neuroscientists. Recent reviews on this topic, sometimes termed brain criticality, make brief mention of clinical applications of these findings to several neurological disorders such as epilepsy, neurodegenerative disease, and neonatal hypoxia. Other clinicallyrelevant domains-including anesthesia, sleep medicine, developmental-behavioral pediatrics, and psychiatry-are seldom discussed in review papers of brain criticality. Thorough assessments of these application areas and their relevance for clinicians have also yet to be published. In this scoping review, studies of brain criticality involving human data of all ages are evaluated for their current and future clinical relevance. To make the results of these studies understandable to a more clinical audience, a review of the key concepts behind criticality (e.g., phase transitions, long-range temporal correlation, self-organized criticality, power laws, branching processes) precedes the discussion of human clinical studies. Open questions and forthcoming areas of investigation are also considered.

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Section: Resultsmentioning

confidence: 99%

Why Brain Criticality Is Clinically Relevant: A Scoping Review

Zimmern

2020

Front. Neural Circuits

132

118

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“…We use a statistical analysis of time series generated by criticality-induced intelligence, based on a method recently proposed to detect crucial events by Culbreth et al (20) to find the criticality point in the complex network dynamical models. This method is based on converting empirical time-series data into a diffusion process from which the probability density function (SI Appendix) is calculated and the entropy determined.…”

Section: Methodsmentioning

confidence: 99%

“…When criticality-induced intelligence (collective intelligence) becomes active, the driven process is expected to depart from ordinary diffusion signified by having a scaling index different from δ = 0.5. The modified DEA (MDEA) illustrated in Culbreth et al ( 20 ) filters out the scaling behavior of infinite stationary memory, when it exists ( 21 ), and the remaining deviation of the scaling index from δ = 0.5 is solely due to crucial events.…”

Section: Methodsmentioning

confidence: 99%

Relating size and functionality in human social networks through complexity

West

Massari

Culbreth

et al. 2020

Proc. Natl. Acad. Sci. U.S.A.

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Extensive empirical evidence suggests that there is a maximal number of people with whom an individual can maintain stable social relationships (the Dunbar number). We argue that this arises as a consequence of a natural phase transition in the dynamic self-organization among N individuals within a social system. We present the calculated size dependence of the scaling properties of complex social network models to argue that this collective behavior is an enhanced form of collective intelligence. Direct calculation establishes that the complexity of social networks as measured by their scaling behavior is nonmonotonic, peaking around 150, thereby providing a theoretical basis for the value of the Dunbar number. Thus, we establish a theory-based bridge spanning the gap between sociology and psychology.

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“…In this paper, we use the DEA of Ref. [37] which adopts the method of stripes to fully benefit from the connection between crucial events and diffusion established by Ref. [36].…”

Section: B Diffusion Entropy With Stripesmentioning

confidence: 99%

“…After establishing the connection between scaling and walking rule, it is easy to explain to the readers the convenience of adopting DEA with stripes, as done in Ref. [37]. We use the experimental time series ξ(t), n(t) in the case of this paper, to define events either crucial or not crucial as follows.…”

Section: B Diffusion Entropy With Stripesmentioning

confidence: 99%

Biophotons: low signal/noise ratio reveals crucial events

Benfatto

Pace

Curceanu

et al. 2019

Preprint

Self Cite

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We study the emission of photons from germinating seeds using an experimental technique designed to detect photons of extremely small intensity when the signal/noise ratio is low. We analyze the dark count signal in the absence of germinating seeds as well as the photon emission during the germination process. The technique of analysis adopted here was originally designed to measure the temporal complexity of astrophysical, sociological and physiological processes. The foundation of this method, called Diffusion Entropy Analysis (DEA), rests on Kolmogorov complexity. The updated version of DEA used in this paper is designed to determine if the signal complexity is generated by either non-ergodic crucial events with a non-stationary correlation function or by the infinite memory of a stationary but non-integrable correlation function or by a mixture of both processes. We find that dark count yields the ordinary scaling, thereby showing that no complexity of either kinds may occur in the absence of any seeds in the chamber. In the presence of seeds in the chamber anomalous scaling emerges, reminiscent of that found in neuro-physiological processes. However, this is a mixture of both processes and with the progress of germination the non-ergodic component tends to vanish and complexity is dominated by the stationary infinite memory. We argue that this may be a sign of quantum coherence that according to some authors is the important ingredient of cognition.

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Entropic Approach to the Detection of Crucial Events

Cited by 26 publications

References 63 publications

Why Brain Criticality Is Clinically Relevant: A Scoping Review

Why Brain Criticality Is Clinically Relevant: A Scoping Review

Relating size and functionality in human social networks through complexity

Biophotons: low signal/noise ratio reveals crucial events

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