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Hace 6 días · In mathematical statistics, the Kullback–Leibler (KL) divergence (also called relative entropy and I-divergence), denoted (), is a type of statistical distance: a measure of how one probability distribution P is different from a second, reference probability distribution Q.
Hace 20 horas · As they contract, both their total energy and their entropy decrease but their internal temperature may increase. This can be significant for protostars and even gas giant planets such as Jupiter . When the entropy of the black-body radiation emitted by the bodies is included, however, the total entropy of the system can be shown to increase even as the entropy of the planet or star decreases.
Hace 4 días · A python package for computing all multivariate mutual informations, conditional mutual information, joint entropies, total correlations, information distance in a dataset of n variables is available.
Hace 4 días · The transition from low entropy to high entropy is evident in the enhancement of energy storage performance, increasing from 4.3 J cm −3 (BSCNT0) to 8.9 J cm −3 (BSCNT0.30), representing an ...
Hace 1 día · Although relative entropy is not a distance (it is not even symmetric), it is widely used in the literature as a measure of closeness between probability measures. Another popular way to measure the closeness of two probability measures is through the total variation distance. The total variation distance between \(\mu \) and \(\nu \) is defined as
Hace 5 días · This quantum weirdness pairs with the second law of thermodynamics, which holds that every physical process will lead to an increase in the total entropy (often known as “disorder”) to produce the unusual energy gain process.
Hace 5 días · A Numerical Calculation of Entanglement Entropy in de Sitter Space. The entanglement entropy of a massless scalar field in de Sitter space depends on multiple scales, such as the radius of the entangling surface, the Hubble constant and the UV cutof.
