Results 21 to 30 of about 5,821,170 (252)
Optimally approximating exponential families [PDF]
, 2002 summary:This article studies exponential families $\mathcal{E}$ on finite sets such that the information divergence $D(P\|\mathcal{E})$ of an arbitrary probability distribution from $\mathcal{E}$ is bounded by some constant $D>0$.
Matúš, František +9 more
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Natural Gradient Flow in the Mixture Geometry of a Discrete Exponential Family [PDF]
Entropy, 2015 In this paper, we study Amari’s natural gradient flows of real functions defined on the densities belonging to an exponential family on a finite sample space. Our main example is the minimization of the expected value of a real function defined on the sample space.
Malagò, Luigi, Pistone, Giovanni
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Multidimensional Bhattacharyya Matrices and Exponential Families [PDF]
, 1997 Shanbhag (1972, 1979) has characterized the distributions belonging to an exponential family on R such that the Bhattacharyya matrix is diagonal. Since then, this set of distributions has been classed by Morris (1982) and is referred to as the class of ...
Pommeret, Denys
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Entropy, 2016 We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical ...
Frédéric Barbaresco
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Entropy, 2017 Information geometry enables a deeper understanding of the methods of statistical inference. In this paper, the problem of nonlinear parameter estimation is considered from a geometric viewpoint using a natural gradient descent on statistical manifolds ...
Yongqiang Cheng, Xuezhi Wang, Bill Moran
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Large Ankyrin repeat proteins are formed with similar and energetically favorable units.
PLoS ONE, 2020 Ankyrin containing proteins are one of the most abundant repeat protein families present in all extant organisms. They are made with tandem copies of similar amino acid stretches that fold into elongated architectures.
Ezequiel A Galpern +2 more
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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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Boundedness of Variance Functions of Natural Exponential Families with Unbounded Support
MathematicsThe variance function (VF) is central to natural exponential family (NEF) theory. Prompted by an online query about whether, beyond the classical normal NEF, other real-line NEFs with bounded VFs exist, we establish three complementary sets of sufficient
Shaul K. Bar-Lev
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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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Elevated Connectivity During Language Processing Is Associated With Cognitive Performance in SeLECTS
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Self‐Limited Epilepsy with Centrotemporal Spikes (SeLECTS) is associated with language impairments despite seizures originating in the motor cortex, suggesting aberrant cross‐network interactions. Here we tested whether functional connectivity in SeLECTS during language tasks predicts language performance.
Wendy Qi +8 more
wiley +1 more source