Results 21 to 30 of about 244,145 (258)
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.
Jun, Li, Dacheng, Tao
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Mathematics, 2023 The paper comprehensively studies the natural exponential family and its associated exponential dispersion model generated by the Landau distribution. These families exhibit probabilistic and statistical properties and are suitable for modeling skewed ...
Shaul K. Bar-Lev
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Total positivity in exponential families with application to binary variables
, 2020 We study exponential families of distributions that are multivariate totally positive of order 2 (MTP2), show that these are convex exponential families, and derive conditions for existence of the MLE.
Lauritzen, Steffen +2 more
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Frequency Analysis of Extreme Events Using the Univariate Beta Family Probability Distributions
Applied Sciences, 2023 This manuscript presents three families of distributions, namely the Beta, Beta Prime and Beta Exponential families of distributions. From all the distributions of these families, 14 statistical distributions of three, four and five parameters are ...
Cornel Ilinca, Cristian Gabriel Anghel
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Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I [PDF]
, 2010 In this paper we focus on two new families of polynomials which are connected with exponential polynomials and geometric polynomials. We discuss their generalizations and show that these new families of polynomials and their generalizations are useful to
Dil, Ayhan, Kurt, Veli
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On the Notion of Reproducibility and Its Full Implementation to Natural Exponential Families
Mathematics, 2021 Let F=Fθ:θ∈Θ⊂R be a family of probability distributions indexed by a parameter θ and let X1,⋯,Xn be i.i.d. r.v.’s with L(X1)=Fθ∈F. Then, F is said to be reproducible if for all θ∈Θ and n∈N, there exists a sequence (αn)n≥1 and a mapping gn:Θ→Θ,θ⟼gn(θ ...
Shaul K. Bar-Lev
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Pseudo-free families of computational universal algebras
Journal of Mathematical Cryptology, 2020 Let Ω be a finite set of finitary operation symbols. We initiate the study of (weakly) pseudo-free families of computational Ω-algebras in arbitrary varieties of Ω-algebras.
Anokhin Mikhail
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Boundary Crossing Probabilities for General Exponential Families [PDF]
, 2017 We consider parametric exponential families of dimension $K$ on the real line. We study a variant of \textit{boundary crossing probabilities} coming from the multi-armed bandit literature, in the case when the real-valued distributions form an ...
Maillard, Odalric-Ambrym
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Stationary Exponential Families
The Annals of Statistics, 1995 An exponential family for stationary sequences of random vectors in \(\mathbb{R}^ d\) is defined by making use of the Ionesco Tulcea theorem [\textit{C. T. Ionesco Tulcea}, Atti Accad. Naz. Lincei, Rend., Cl. Sci. Fis. Mat. Natur., VIII. S. 7, 208-211 (1950; Zbl 0035.152)].
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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
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