Information-devoid routes for scale-free neurodynamics

Tozzi, Arturo; Peters, James F.

doi:10.1007/s11229-020-02895-7

Cited by 4 publications

(3 citation statements)

References 36 publications

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“…This raises doubts as whether the tenet of the cosmic information extracted by the human mind holds true. Also, critiques have been raised to the role of information in mental activity, casting doubts on the adequacy of the information paradigm to describe the brain functions and on the assumed relationships between changes in entropies detected by the available neuro-techniques and mental tasks (Tozzi and Peters, 2020b).…”

Section: Coda: Information From Outsidementioning

confidence: 99%

To Know Them, Remove Them: An Outer Methodological Approach to Biophysics and Humanities

Tozzi¹

2021

Preprint

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Set theory faces two difficulties: formal definitions of sets/subsets are incapable of assessing biophysical issues; formal axiomatic systems are complete/inconsistent or incomplete/consistent. To overtake these problems reminiscent of the old-fashioned principle of individuation, we provide formal treatment/validation/operationalization of a methodological weapon termed “outer approach” (OA). The observer’s attention shifts from the system under evaluation to its surroundings, so that objects are investigated from outside. Subsets become just “holes” devoid of information inside larger sets. Sets are no longer passive containers, rather active structures enabling their content’s examination. Consequences/applications of OA include: a) operationalization of paraconsistent logics, anticipated by unexpected forerunners, in terms of advanced truth theories of natural language, anthropic principle and quantum dynamics; b) assessment of embryonic craniocaudal migration in terms of Turing’s spots; c) evaluation of hominids’ social behaviors in terms of evolutionary modifications of facial expression’s musculature; d) treatment of cortical action potentials in terms of collective movements of extracellular currents, leaving apart what happens inside the neurons; e) a critique of Shannon’s information in terms of the Arabic thinkers’ active/potential intellects. Also, OA provides an outer view of a) humanistic issues such as the enigmatic Celestino of Verona’s letter, Dante Alighieri’s “Hell” and the puzzling Voynich manuscript; b) historical issues such as Aldo Moro’s death and the Liston/Clay boxing fight. Summarizing, the safest methodology to quantify phenomena is to remove them from our observation and tackle an outer view, since mathematical/logical issues such as selective information deletion and set complement rescue incompleteness/inconsistency of biophysical systems.

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Section: Coda: Information From Outsidementioning

confidence: 99%

To Know Them, Remove Them: An Outer Methodological Approach to Biophysics and Humanities

Tozzi¹

2021

Preprint

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“…Once our pars destruens against the concept of TCI is completed, a pars construens is strongly required. We suggest a new methodology according to which the observer does not investigate the information endowed in the thing, but rather investigates the information outside the thing [3]. The thing becomes a "hole" devoid of information inside a surrounding environment that is no longer a passive container, but rather an active structure enabling the examination of its content.…”

Section: Introductionmentioning

confidence: 99%

Informational Approaches Lead to Formulations of Quantum Mechanics on Poincaré Disks

Tozzi

2022

The 2021 Summit of the International Society for the Study of Information

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“…The dynamic of the information transferred along subsequent transformative states of a complex system can be described in terms of divergence of the probability distributions P at time t and P at a subsequent time t . Hence, information-theoretical tools find applications in fields as diverse as climate, turbulence, neurology, biology and economics [10][11][12][13] and are increasingly adopted in unsupervised learning of unlabelled data where similarity/dissimilarity measures are concerned with dynamic rather than static features of the clustered data [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Relative cluster entropy for power-law correlated sequences

Carbone

Ponta

2022

SciPost Phys.

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We propose an information-theoretical measure, the relative cluster entropy \mathcal{D_C}[P\|Q]𝒟𝒞[P∥Q], to discriminate among cluster partitions characterised by probability distribution functions P and Q. The measure is illustrated with the clusters generated by pairs of fractional Brownian motions with Hurst exponents H_1H1 and H_2H2 respectively. For subdiffusive, normal and superdiffusive sequences, the relative entropy sensibly depends on the difference between H_1H1 and H_2H2. By using the minimum relative entropy principle, cluster sequences characterized by different correlation degrees are distinguished and the optimal Hurst exponent is selected. As a case study, real-world cluster partitions of market price series are compared to those obtained from fully uncorrelated sequences (simple Browniam motions) assumed as a model. The minimum relative cluster entropy yields optimal Hurst exponents H_1H1=0.55, H_1H1=0.57, and H_1H1=0.63 respectively for the prices of DJIA, S and P500, NASDAQ: a clear indication of non-markovianity. Finally, we derive the analytical expression of the relative cluster entropy and the outcomes are discussed for arbitrary pairs of power-laws probability distribution functions of continuous random variables.

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Information-devoid routes for scale-free neurodynamics

Cited by 4 publications

References 36 publications

To Know Them, Remove Them: An Outer Methodological Approach to Biophysics and Humanities

To Know Them, Remove Them: An Outer Methodological Approach to Biophysics and Humanities

Informational Approaches Lead to Formulations of Quantum Mechanics on Poincaré Disks

Relative cluster entropy for power-law correlated sequences

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