Results 11 to 20 of about 3,859,005 (290)

Information-Geometric Approach for a One-Sided Truncated Exponential Family [PDF]

Entropy, 2023
In information geometry, there has been extensive research on the deep connections between differential geometric structures, such as the Fisher metric and the α-connection, and the statistical theory for statistical models satisfying regularity ...
Masaki Yoshioka, Fuyuhiko Tanaka
doaj   +2 more sources

Exponential Families with External Parameters

Entropy, 2022
In this paper we introduce a class of statistical models consisting of exponential families depending on additional parameters, called external parameters.
Marco Favretti
doaj   +3 more sources

Simple Exponential Family PCA [PDF]

IEEE Transactions on Neural Networks and Learning Systems, 2013
Principal component analysis (PCA) is a widely used model for dimensionality reduction. In this paper, we address the problem of determining the intrinsic dimensionality of a general type data population by selecting the number of principal components for a generalized PCA model.
Dacheng Tao
exaly   +5 more sources

Weighted Chernoff Information and Optimal Loss Exponent in Context-Sensitive Hypothesis Testing [PDF]

Entropy
We study binary hypothesis testing for i.i.d. observations under a multiplicative context weight. For the optimal weighted total loss, defined as the sum of weighted type-I and type-II losses, we prove the logarithmic asymptotic Ln∗=exp{−nDCw(P,Q)+o(n ...
Mark Kelbert, El’mira Yu. Kalimulina
doaj   +2 more sources

Geometry of q-Exponential Family of Probability Distributions

Entropy, 2011
The Gibbs distribution of statistical physics is an exponential family of probability distributions, which has a mathematical basis of duality in the form of the Legendre transformation.
Shun-ichi Amari, Atsumi Ohara
doaj   +3 more sources

Extended Divergence on a Foliation by Continuous-Type Escort Distributions [PDF]

Entropy
From an information geometric perspective, this study considers a natural foliation of dualistic structures associated with escort distributions of exponential families.
Keiko Uohashi
doaj   +2 more sources

Tangent exponential-G family of distributions with applications in medical and engineering

Alexandria Engineering Journal
This study introduces a novel family of probability distributions called the ”tangent exponential-G family,” which is derived using trigonometric transformations of the exponential distribution.
Eslam Hussam, Laxmi Prasad Sapkota, Ahmed M. Gemeay   +2 more
doaj   +3 more sources

Exponential Family Embeddings [PDF]

, 2018
Word embeddings are a powerful approach for capturing semantic similarity among terms in a vocabulary. Exponential family embeddings extend the idea of word embeddings to other types of high-dimensional data. Exponential family embeddings have three ingredients; embeddings as latent variables, a predefined conditioning set for each observation called
Rudolph, Maja
openaire   +3 more sources

Statistical procedures based on exponential scores [PDF]

, 1983
Many statistical models have been proposed in which underlying exponential distributions are assumed. Applications of such models occur in a large number of areas, for example in reliability and life-testing investigations and in the study of the ...
Young, D H
core   +6 more sources

Sparse exponential family Principal Component Analysis [PDF]

Pattern Recognition, 2016
Xiaoning Qian, Jianhua Z Huang
exaly   +2 more sources