Entropy, complexity, and spatial information. J. Geogr. Syst. 16, 363–385 (2014). PubMed PubMed Central Google Scholar Boeing, G. Urban spatial order: street network orientation, configuration, and entropy. A
SPATIAL resolutionENTROPYComplexity is one of the most important variables in how the brain performs decision making based on esthetic values. Multiple definitions of perceptual complexity have been proposed, with one of the most fruitful being the Normalized Shannon Entropy one. However, the Normalized...
45. Permutational entropy measures the degree of disorder in the pixel arrangement. High values indicate high pixel randomness, while low values correspond to more regular patterns. Statistical complexity instead measures the amount of “structural” complexity. Non-trivial spatial patterns give rise to...
Batty M, Morphet R, Masucci P (2014) Entropy, complexity, and spatial information. J Geogr Syst 16:363–385. https://doi.org/10.1007/s10109-014-0202-2 Article Google Scholar Belal A, Moghanm F (2011) Detection urban growth using remote sensing and GIS techniques in Al Gharbiya govern...
Handbook on Entropy, Complexity and Spatial Dynamics, Edward Elgar Publishing: Cheltenham, UK (2021), pp. 20-31 View in ScopusGoogle Scholar Xiong et al., 2024 Xiong Y., Liu R., Hao S., Dai L., Guo H., Song A. Quantifying sustainable urban energy solutions: Statistical analysis of re...
The complexity of the topological structure of the 2D invariant manifolds is quantified with the topological entropy in [18] for 3D volume-preserving maps. The structure of the finite segments of the 2D invariant manifolds in the 3D phase space constraints the structure for larger segments of the...
the BER at the expense of computational complexity, thereby decreasing the average min-entropy. In this process, compared to computationally unbounded adversaries, the introduction of computationally bounded adversaries’ computational entropy enhances the reciprocity entropy and noise entropy within the ...
On the CFT side we explicitly compute the differential entropy and holographic complexity for the vacuum state and the excited state dual to conical AdS using the kinematic space formalism. As a result, the boundary dual of the bulk first law relates the first-order variations of differential ...
Many complex networks erase parts of their geometry as they develop, so that their evolution is difficult to quantify and trace. Here we introduce entropy measures for quantifying the complexity of street orientations and length variations within planar networks and apply them to the street networks...
Entropy. In Springer Encyclopedia of Complexity and Systems Science; Springer: Berlin/Heidelberg, Germany, 2008; pp. 2859–2883. [Google Scholar] Chafai, D. Entropies, convexity, and functional inequalities–On Φ-entropies and Φ-Sobolev inequalities. J. Math. Kyoto Univ. 2004, 44, 325–363...