Results 1 to 10 of about 592,772 (239)
Closures of exponential families
The Annals of Probability, 2005 The variation distance closure of an exponential family with a convex set of canonical parameters is described, assuming no regularity conditions. The tools are the concepts of convex core of a measure and extension of an exponential family, introduced ...
Csiszar, Imre, Matus, Frantisek
core +4 more sources
Exponential Family Graph Embeddings [PDF]
Proceedings of the AAAI Conference on Artificial Intelligence, 2020 Representing networks in a low dimensional latent space is a crucial task with many interesting applications in graph learning problems, such as link prediction and node classification. A widely applied network representation learning paradigm is based on the combination of random walks for sampling context nodes and the traditional Skip-Gram model to ...
Çelikkanat, Abdulkadir +1 more
openaire +6 more sources
Information Geometry Approach to Parameter Estimation in Markov Chains [PDF]
, 2015 We consider the parameter estimation of Markov chain when the unknown transition matrix belongs to an exponential family of transition matrices. Then, we show that the sample mean of the generator of the exponential family is an asymptotically efficient ...
Hayashi, Masahito, Watanabe, Shun
core +1 more source
$q$-Exponential Families [PDF]
The Electronic Journal of Combinatorics, 2004 We develop an analog of the exponential families of Wilf in which the label sets are finite dimensional vector spaces over a finite field rather than finite sets of positive integers. The essential features of exponential families are preserved, including the exponential formula relating the deck enumerator and the hand enumerator.
openaire +3 more sources
Reproductive Exponential Families
The Annals of Statistics, 1983 Consider a full and steep exponential model $\mathscr{M}$ with model function $a(\theta)b(x)\exp\{\theta \cdot t(x)\}$ and a sample $x_1, \cdots, x_n$ from $\mathscr{M}$. Let $\bar{t} = \{t(x_1) + \cdots + t(x_n)\}/n$ and let $\bar{t} = (\bar{t}_1, \bar{t}_2)$ be a partition of the canonical statistic $\bar{t}$.
Barndorff-Nielsen, O., Blæsild, P.
openaire +3 more sources
Rank verification for exponential families [PDF]
The Annals of Statistics, 2019 Many statistical experiments involve comparing multiple population groups. For example, a public opinion poll may ask which of several political candidates commands the most support; a social scientific survey may report the most common of several responses to a question; or, a clinical trial may compare binary patient outcomes under several treatment ...
Hung, Kenneth, Fithian, William
openaire +5 more sources
An Exponential Family of Lorenz Curves [PDF]
Southern Economic Journal, 2001 A new method for building parametric‐functional families of Lorenz curves, generated from an initial Lorenz curve (which satisfies some regularity conditions), is presented. The method is applied to the exponential family since they use the exponential Lorenz curves as their generating curves.
Sarabia Alegría, José María +2 more
openaire +2 more sources
Support Sets in Exponential Families and Oriented Matroid Theory [PDF]
, 2011 The closure of a discrete exponential family is described by a finite set of equations corresponding to the circuits of an underlying oriented matroid. These equations are similar to the equations used in algebraic statistics, although they need not be ...
Ay, Nihat, Kahle, Thomas, Rauh, Johannes
core +2 more sources
Satisfiability with Exponential Families [PDF]
, 2007 Fix a set S ⊆ {0, 1}* of exponential size, e.g. |S ∩ {0, 1}n| ∈ Ω(αn), α > 1. The S-SAT problem asks whether a propositional formula F over variables v1, . . . , vn has a satisfying assignment (v1, . . . , vn) ∈ {0, 1}n ∩ S. Our interest is in determining the complexity of S-SAT.
Scheder, Dominik, Zumstein, Philipp
openaire +2 more sources
Two refreshing views of Fluctuation Theorems through Kinematics Elements and Exponential Martingale [PDF]
, 2011 In the context of Markov evolution, we present two original approaches to obtain Generalized Fluctuation-Dissipation Theorems (GFDT), by using the language of stochastic derivatives and by using a family of exponential martingales functionals.
A. Baule +82 more
core +5 more sources