Nonstandard representation of the Dirichlet form and application to the comparison theorem
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DOI: 10.1002/mana.202300246
Abstract: The Dirichlet form is a generalization of the Laplacian, heavily used in the study of many diffusion‐like processes. In this paper, we present a nonstandard representation theorem for the Dirichlet form, showing that the usual… read more here.
Keywords: nonstandard representation; comparison theorem; dirichlet form; dirichlet ... See more keywords
Two-scale finite element modelling of reinforced concrete structures: Effective response and subscale fracture development
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DOI: 10.1002/nme.5776
Abstract: A two-scale model is derived from a fully resolved model where the response of concrete, steel reinforcement, and bond between them are considered. The pertinent “effective” large-scale problem is derived from selective homogenisation in terms… read more here.
Keywords: two scale; reinforced concrete; dirichlet; response ... See more keywords
A Robin‐Neumann scheme with quasi‐Newton acceleration for partitioned fluid‐structure interaction
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DOI: 10.1002/nme.7151
Abstract: The Dirichlet–Neumann scheme is the most common partitioned algorithm for fluid‐structure interaction (FSI) and offers high flexibility concerning the solvers employed for the two subproblems. Nevertheless, it is not without shortcomings: to begin with, the… read more here.
Keywords: dirichlet; robin neumann; neumann scheme; newton ... See more keywords
Estimate for Norm of a Composition Operator on the Hardy–Dirichlet Space
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DOI: 10.1007/s00020-018-2434-x
Abstract: By using the Schur test, we give some upper and lower estimates on the norm of a composition operator on $$\mathcal {H}^2$$H2, the space of Dirichlet series with square summable coefficients, for the inducing symbol… read more here.
Keywords: norm composition; dirichlet; space; composition operator ... See more keywords
Locality and Domination of Semigroups
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DOI: 10.1007/s00025-018-0822-9
Abstract: We characterize all semigroups $$(T(t))_{t\ge 0}$$(T(t))t≥0 on $$L^2(\Omega )$$L2(Ω) sandwiched between Dirichlet and Neumann ones, i.e.: $$\begin{aligned} e^{t\Delta _D}\le T(t)\le e^{t\Delta _N},\quad \text {for all }t\ge 0 \end{aligned}$$etΔD≤T(t)≤etΔN,for allt≥0in the positive operators sense. The proof… read more here.
Keywords: domination semigroups; locality; dirichlet; locality domination ... See more keywords
A general guide in Bayesian and robust Bayesian estimation using Dirichlet processes
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DOI: 10.1007/s00184-019-00737-2
Abstract: In this paper, we investigate Bayesian and robust Bayesian estimation of a wide range of parameters of interest in the context of Bayesian nonparametrics under a broad class of loss functions. Dealing with uncertainty regarding… read more here.
Keywords: dirichlet; bayesian estimation; robust bayesian; general guide ... See more keywords
A New Look at the Dirichlet Distribution: Robustness, Clustering, and Both Together
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DOI: 10.1007/s00357-024-09480-4
Abstract: Compositional data have peculiar characteristics that pose significant challenges to traditional statistical methods and models. Within this framework, we use a convenient mode parametrized Dirichlet distribution across multiple fields of statistics. In particular, we propose… read more here.
Keywords: look dirichlet; distribution; dirichlet distribution; distribution robustness ... See more keywords
Eisenstein Formula and Dirichlet Correspondence
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DOI: 10.1007/s10958-019-04491-8
Abstract: In the paper, an exact formula for the number of integral points in the system of ellipses related, according to Dirichlet, to an arbitrary imaginary quadratic field is provided. The relation of this formula to… read more here.
Keywords: eisenstein formula; formula dirichlet; dirichlet correspondence; dirichlet ... See more keywords
Dirichlet problem and subclasses of Baire-one functions
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DOI: 10.1007/s11856-018-1707-z
Abstract: Let U be a bounded open subset of ℝd, d ≥ 2 and f ∈ C(∂U). The Dirichlet solution fCU of the Dirichlet problem associated with the Laplace equation with a boundary condition f is… read more here.
Keywords: space; dirichlet; dirichlet problem; one functions ... See more keywords
Variational-based latent generalized Dirichlet allocation model in the collapsed space and applications
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DOI: 10.1016/j.neucom.2018.12.046
Abstract: Abstract In topic modeling framework, many Dirichlet-based models performances have been hindered by the limitations of the conjugate prior. It led to models with more flexible priors, such as the generalized Dirichlet distribution, that tend… read more here.
Keywords: dirichlet; dirichlet allocation; latent generalized; variational based ... See more keywords
A Dirichlet-multinomial mixture model-based approach for daily solar radiation classification
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DOI: 10.1016/j.solener.2018.06.059
Abstract: Abstract A challenging problem in the classification of daily solar radiation is the selection of the appropriate model complexity and size that best describe the data. This paper introduces a new nonparametric Bayesian method for… read more here.
Keywords: classification; dirichlet; solar radiation; daily solar ... See more keywords