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. Appl. Netw. Sci. 67, 1–20 (2019). Google Scholar McNamee, D., Wolpert, D...
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...
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...
This is an extension of the Ising model (McCoy, 2010) with spatial connections potentially occurring between any neurons as well as temporal correlations. The main limitation of the maximum entropy model is its computational complexity. Recent studies demonstrated its applicability to a few tens of...
As the network environment becomes increasingly complex, the volume and complexity of network traffic are exponentially rising. It leads to a gradual diversification of attack methods, with communication features becoming more intricate and challenging to handle (Papadogiannaki et al. 2021). In such ...
Instead of using a static “define-and-run” scheme, where the model structure is defined beforehand and remains fixed throughout training, we have opted for a dynamic “define-by-run” approach. Our goal is to determine the optimal model complexity and hyperparameters based on the input valid...
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...
Moreover, the treatment of electronic excitations [12], [13] and complexity of systems [14], [15] and characterization of chemical processes [16], [17] have also used the Shannon entropy in their analysis. And in recent years the Shannon entropy has been studied from the perspective of ...