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Evolutionary adaptation through genetic change requires genetic variation and is a key mechanism enabling species to persist in changing environments. Although a substantial body of work has focused on understanding how and why additive genetic variance (
Euan A. Young, Erik Postma
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On the f -divergence for non-additive measures
The f-divergence evaluates the dissimilarity between two probability distributions defined in terms of the Radon-Nikodym derivative of these two probabilities. The f-divergence generalizes the Hellinger distance and the Kullback-Leibler divergence among other divergence functions. In this paper we define an analogous function for non-additive measures.
Torra, Vicenç +2 more
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Entropic Upper Bound on Gravitational Binding Energy [PDF]
We prove that the gravitational binding energy {\Omega} of a self gravitating system described by a mass density distribution {\rho}(x) admits an upper bound B[{\rho}(x)] given by a simple function of an appropriate, non-additive Tsallis' power-law ...
A. Plastino +34 more
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Pythagorean fuzzy set, characterized by membership function and non-membership function, has received increasing attention in recent years. In this paper, a new approach to decision making is proposed based on Pythagorean fuzzy preference relation and ...
Li Zhang, Ligang Zhou, Kaifang Yang
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A Novel Multi-Criteria Decision-Making Method Based on Rough Sets and Fuzzy Measures
Rough set theory provides a useful tool for data analysis, data mining and decision making. For multi-criteria decision making (MCDM), rough sets are used to obtain decision rules by reducing attributes and objects.
Jingqian Wang, Xiaohong Zhang
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Monotone and boolean unitary Brownian motions [PDF]
The additive monotone (resp. boolean) unitary Brownian motion is a non-commutative stochastic process with monotone (resp. boolean) independent and stationary increments which are distributed according to the arcsine law (resp. Bernoulli law) .
Hamdi, Tarek
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Measurement and models accounting for cell death capture hidden variation in compound response. [PDF]
Cancer cell sensitivity or resistance is almost universally quantified through a direct or surrogate measure of cell number. However, compound responses can occur through many distinct phenotypic outcomes, including changes in cell growth, apoptosis, and
Bae, Song Yi +5 more
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Thermodynamic meaning of the index of γ-entropy
We provide a thermodynamic meaning of the index of the γ-entropy, which is a non-additive information measure devised in 1970s and is less known to physics.
Takuya Yamano
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Statistical Mechanics of Surjective Cellular Automata [PDF]
Reversible cellular automata are seen as microscopic physical models, and their states of macroscopic equilibrium are described using invariant probability measures.
Kari, Jarkko, Taati, Siamak
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Background Scales are linear combinations of variables with coefficients that add up to zero and have a similar meaning to “contrast” in the analysis of variance. Scales are necessary in order to incorporate genomic information into relationship matrices
Luis Gomez-Raya +2 more
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