Results 11 to 20 of about 424,964 (284)
Group Invariance of Information Geometry on q-Gaussian Distributions Induced by Beta-Divergence
Entropy, 2013 We demonstrate that the q-exponential family particularly admits natural geometrical structures among deformed exponential families. The property is the invariance of structures with respect to a general linear group, which transitively acts on the space
Shinto Eguchi, Atsumi Ohara
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Superintegrability of matrix Student's distribution
Physics Letters B, 2022 For ordinary matrix models, the eigenvalue probability density decays rapidly as one goes to infinity, in other words, has “short tails”. This ensures that all the multiple trace correlators (multipoint moments) are convergent and well-defined.
A. Mironov, A. Morozov, A. Popolitov
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Deformed Algebras and Generalizations of Independence on Deformed Exponential Families
Entropy, 2015 A deformed exponential family is a generalization of exponential families. Since the useful classes of power law tailed distributions are described by the deformed exponential families, they are important objects in the theory of complex systems.
Hiroshi Matsuzoe, Tatsuaki Wada
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Small area estimation with spatially varying natural exponential families [PDF]
Journal of Statistical Computation and Simulation, 2020 Two-stage hierarchical models have been widely used in small area estimation to produce indirect estimates of areal means. When the areas are treated exchangeably and the model parameters are assumed to be the same over all areas, we might lose the efficiency in the presence of spatial heterogeneity.
Shonosuke Sugasawa +2 more
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Physics Letters B, 2020 We argue that the presence of an inflationary epoch is a natural, almost unavoidable, consequence of the existence of a sensible action involving an infinite tower of higher-curvature corrections to the Einstein-Hilbert action.
Gustavo Arciniega +5 more
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Bayesian approach to cubic natural exponential families [PDF]
Statistics & Probability Letters, 2013 For a natural exponential family (NEF), one can associate in a natural way two standard families of conjugate priors, one on the natural parameter and the other on the mean parameter. These families of conjugate priors have been used to establish some remarkable properties and characterization results of the quadratic NEF's.
Hamza, Marwa, Hassairi, Abdelhamid
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Notulae Botanicae Horti Agrobotanici Cluj-Napoca, 2022 Ruellia tuberosa (family Acanthaceae) is widely known in traditional medicine in Asian countries for the treatment of diabetes and other diseases. Its roots were demonstrated to possess a hypoglycemic ability in diabetic animal models. In this study, an
Dai M. CAO +2 more
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Exponential rate of convergence in current reservoirs [PDF]
, 2015 In this paper we consider a family of interacting particle systems on [−N, N] that arises as a natural model for current reservoirs and Fick’s law. We study the exponential rate of convergence to the stationary measure, which we prove to be of the order ...
De Masi, Anna +3 more
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Model Checking in Bits and Pieces [PDF]
Electronic Proceedings in Theoretical Computer Science, 2013 Fully automated verification of concurrent programs is a difficult problem, primarily because of state explosion: the exponential growth of a program state space with the number of its concurrently active components.
Kedar S. Namjoshi
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A Non-Linear Filtering Algorithm Based on Alpha-Divergence Minimization
Sensors, 2018 A non-linear filtering algorithm based on the alpha-divergence is proposed, which uses the exponential family distribution to approximate the actual state distribution and the alpha-divergence to measure the approximation degree between the two ...
Yarong Luo +3 more
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