Results 81 to 90 of about 290,851 (151)

Artificial intelligence‐assisted theranostics for brain tumors: Advancements and future perspectives

open access: yesVIEW, Volume 6, Issue 6, December 2025.
Graphical demonstration of different applications of AIT for brain tumor. The major applications include CT and MRI‐based segmentation and analysis, histopathological analysis, precision treatment planning and prognosis, surgical and radiotherapy optimization, real‐time intratreatment monitoring, biomarker discovery, and molecular profiling for ...
Mifang Li   +6 more
wiley   +1 more source

Temporal extensivity of Tsallis’ entropy and the bound on entropy production rate [PDF]

open access: yesPhysical Review E, 2006
The Tsallis entropy, which is a generalization of the Boltzmann-Gibbs entropy, plays a central role in nonextensive statistical mechanics of complex systems. A lot of efforts have recently been made on establishing a dynamical foundation for the Tsallis entropy. They are primarily concerned with nonlinear dynamical systems at the edge of chaos.
Abe, Sumiyoshi, Nakada, Yutaka
openaire   +3 more sources

A NEW GENERALIZED VARENTROPY AND ITS PROPERTIES

open access: yesUral Mathematical Journal, 2020
The variance of Shannon information related to the random variable \(X\), which is called varentropy, is a measurement that indicates, how the information content of \(X\) is scattered around its entropy and explains its various applications in ...
Saeid Maadani   +2 more
doaj   +1 more source

Entropy in Hydrology

open access: yesPerspectives of Earth and Space Scientists, Volume 6, Issue 1, December 2025.
Abstract Although the concept of thermodynamic entropy due to Clausius dates back to the early 1850s, the mathematical theory of informational entropy was not developed until the pioneering work of Shannon in 1948, the development of principle of maximum entropy (POME) and theorem of concentration by Jaynes in 1957, principle of minimum cross entropy ...
Vijay P. Singh
wiley   +1 more source

A Characterization of Entropy in Terms of Information Loss

open access: yesEntropy, 2011
There are numerous characterizations of Shannon entropy and Tsallis entropy as measures of information obeying certain properties. Using work by Faddeev and Furuichi, we derive a very simple characterization.
Tom Leinster, John C. Baez, Tobias Fritz
doaj   +1 more source

Susceptible-Infected-Susceptible Epidemic Discrete Dynamic System Based on Tsallis Entropy

open access: yesEntropy, 2020
This investigation deals with a discrete dynamic system of susceptible-infected-susceptible epidemic (SISE) using the Tsallis entropy. We investigate the positive and maximal solutions of the system. Stability and equilibrium are studied. Moreover, based
Shaher Momani   +2 more
doaj   +1 more source

Cosmology Due to Thermodynamics of Apparent Horizon

open access: yesAnnalen der Physik, Volume 537, Issue 11, November 2025.
Effective cosmological constant as a function of the Hubble rate H for different entropy parameters b. Figure shows the asymptotic of the effective cosmological constant. At H = 0 the effective cosmological constant vanishes. Abstract This study proposes new entropy of the apparent horizon Sh=(1/β)arctan(βSBH)$S_h=(1/\beta)\arctan (\beta S_{BH ...
S. I. Kruglov
wiley   +1 more source

TSALLIS ENTROPY COMPOSITION AND THE HEISENBERG GROUP [PDF]

open access: yesInternational Journal of Geometric Methods in Modern Physics, 2013
We present an embedding of the Tsallis entropy into the three-dimensional Heisenberg group, in order to understand the meaning of generalized independence as encoded in the Tsallis entropy composition property. We infer that the Tsallis entropy composition induces fractal properties on the underlying Euclidean space.
openaire   +2 more sources

Predicting Equilibrium Bed Morphology of Large‐Scale Meandering Rivers Using a Novel LES‐Trained Machine Learning Approach

open access: yesJournal of Advances in Modeling Earth Systems, Volume 17, Issue 10, October 2025.
Abstract Flood‐induced deformation of the bed topography of fluvial meandering rivers could lead to riverbank displacement, infrastructure failure, and the propagation of scour and deposition features. The ability to predict sediment transport in large‐scale meanders is, therefore, a critical requirement for tackling a host of environmental issues ...
Zexia Zhang   +5 more
wiley   +1 more source

A note on operator inequalities of Tsallis relative operator entropy [PDF]

open access: yes, 2005
Tsallis relative operator entropy was defined as a parametric extension of relative operator entropy and the generalized Shannon inequalities were shown in the previous paper.
Furuichi, Shigeru   +2 more
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