Results 81 to 90 of about 343,367 (193)
An Information-Theoretic Foundation for the Weighted Updating Model
, 2016 Weighted Updating generalizes Bayesian updating, allowing for biased beliefs by weighting the likelihood function and prior distribution with positive real exponents.
Zinn, Jesse Aaron
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Scientific ReportsA key tenet of the Transactional Interpretation of Quantum Mechanics is the idea that photon absorption localizes the absorbing material system. In doing so, it measures the location of the absorber and hence reduces information entropy which in turn ...
Andreas Schlatter, R. E. Kastner
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The analogues of entropy and of Fisher's information measure in free probability theory [PDF]
Inventiones Mathematicae, 1993 In Part I [Commun. Math. Phys. 155, No. 1, 71-92 (1993; Zbl 0781.60006)] we studied the free entropy \(\Sigma(X)\) of a self-adjoint random variable \(X\) equal to minus the logarithmic energy of its distribution. We also introduced a generalization \(\Sigma(X_ 1,\dots, X_ n)\) which, however, does not have the necessary properties for \(n \geq 2\) to ...
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Measuring Dynamical Uncertainty With Revealed Dynamics Markov Models
Frontiers in Applied Mathematics and Statistics, 2019 Concepts and measures of time series uncertainty and complexity have been applied across domains for behavior classification, risk assessments, and event detection/prediction.
Aaron Bramson +5 more
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AIP AdvancesMany disciplines, including environmental sciences, reliability engineering, hydrology, and information theory, rely heavily on information measures derived from statistical distributions for decision-making, risk assessment, and system design. Motivated
I. A. Husseiny +4 more
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Dynamics of Information Quantifiers in the Damped Rabi Oscillator
FoundationsThis study examines the time evolution of structural and informational quantifiers in a damped Rabi oscillator, specifically focusing on fidelity, entropy, disequilibrium, and Fisher information.
Flavia Pennini, Angelo Plastino
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, 2006 Though Shannon entropy of a probability measure $P$, defined as $- \int_{X} \frac{\ud P}{\ud } \ln \frac{\ud P}{\ud } \ud $ on a measure space $(X, \mathfrak{M}, )$, does not qualify itself as an information measure (it is not a natural extension of the discrete case), maximum entropy (ME) prescriptions in the measure-theoretic case are ...
Dukkipati, Ambedkar +2 more
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Social Entropy: An Information Measure of Institutional Complexity
Advances in Social Sciences Research JournalInformation theory has impacted disciplines across science and technology, including the 20th century’s IT revolution. However, information theory has been applied much less to the social sciences and has not been applied at all to theoretical social psychology.
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On Dynamical Measures of Quantum Information
EntropyIn this work, we use the theory of quantum states over time to define joint entropy for timelike-separated quantum systems. For timelike-separated systems that admit a dual description as being spacelike-separated, our notion of entropy recovers the ...
James Fullwood, Arthur J. Parzygnat
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Scientific ReportsComplex networks play a vital role in various real-world systems, including marketing, information dissemination, transportation, biological systems, and epidemic modeling.
Ramya D. Shetty +3 more
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