Results 51 to 60 of about 39,105 (170)
On uniform exponential trisplitting for cocycles of linear operators in Banach spaces
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 The aim of this paper is to study the concept of uniform exponential trisplitting for skew-product semiflow in Banach spaces. This concept is a generalisation of the well-known concept of uniform exponential trichotomy. We obtain necessary and sufficient
Biriş Larisa Elena +3 more
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A Generalization for Theorems of Datko and Barbashin Type
Journal of Function Spaces, 2015 The goal of the paper is to give some characterizations for the uniform exponential stability of evolution families by unifying the discrete-time versions of the Barbashin-type theorem and the Datko-type theorem.
Pham Viet Hai
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Uniform Exponential Stability of Discrete Evolution Families on Space of p-Periodic Sequences
Abstract and Applied Analysis, 2014 We prove that the discrete system ζn+1=Anζn is uniformly exponentially stable if and only if the unique solution of the Cauchy problem ζn+1=Anζn+eiθn+1zn+1, n∈Z+, ζ0=0, is bounded for any real number θ and any p-periodic sequence z(n) with z(0)=0. Here,
Yongfang Wang +4 more
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Electronic Journal of Differential Equations, 2002 We prove that the evolution semigroup on $AAP_0(mathbb{R}_+, X)$ is strongly continuous. Then we prove some properties of the generator of this evolution semigroup and show some applications in the theory of inequalities.
Constantin Buse
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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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Journal of Numerical Analysis and Approximation Theory, 2017 In this paper, using majorization theorems and Lidstone's interpolating polynomials we obtain results concerning Jensen's and Jensen-Steffensen's inequalities and their converses in both the integral and the discrete case.
Gorana Aras-Gazic +2 more
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Clustering above Exponential Families with Tempered Exponential Measures
, 2022 The link with exponential families has allowed $k$-means clustering to be generalized to a wide variety of data generating distributions in exponential families and clustering distortions among Bregman divergences. Getting the framework to work above exponential families is important to lift roadblocks like the lack of robustness of some population ...
Amid, Ehsan +2 more
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Axioms, 2019 The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and differential equations, we not only investigate properties of these new ...
Irem Kucukoglu +2 more
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, 2016 Word embeddings are a powerful approach for capturing semantic similarity among terms in a vocabulary. In this paper, we develop exponential family embeddings, a class of methods that extends the idea of word embeddings to other types of high-dimensional data.
Rudolph, Maja R. +3 more
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Conjugate Priors for Exponential Families
The Annals of Statistics, 1979 Let $X$ be a random vector distributed according to an exponential family with natural parameter $\theta \in \Theta$. We characterize conjugate prior measures on $\Theta$ through the property of linear posterior expectation of the mean parameter of $X : E\{E(X|\theta)|X = x\} = ax + b$.
Diaconis, Persi, Ylvisaker, Donald
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