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Kernel Analysis Based on Dirichlet Processes Mixture Models [PDF]
Entropy, 2019 Kernels play a crucial role in Gaussian process regression. Analyzing kernels from their spectral domain has attracted extensive attention in recent years. Gaussian mixture models (GMM) are used to model the spectrum of kernels.
Jinkai Tian, Peifeng Yan, Da Huang
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Kernel based Dirichlet sequences
Bernoulli, 2023 Let $X=(X_1,X_2,\ldots)$ be a sequence of random variables with values in a standard space $(S,\mathcal{B})$. Suppose \begin{gather*} X_1\simν\quad\text{and}\quad P\bigl(X_{n+1}\in\cdot\mid X_1,\ldots,X_n\bigr)=\frac{θν(\cdot)+\sum_{i=1}^nK(X_i)(\cdot)}{n+θ}\quad\quad\text{a.s.} \end{gather*} where $θ>0$ is a constant, $ν$ a probability measure on $\
Berti Patrizia +4 more
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THE DIRICHLET PROBLEM FOR AN ORDINARY DIFFERENTIAL EQUATION OF THE SECOND ORDER WITH THE OPERATOR OF DISTRIBUTED DIFFERENTIATION [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 In this paper, we study a linear ordinary differential equation of the second order with operator of continuously distributed differentiation, and for him we study the two-point boundary value problem by the Green’s function method. A special function is
B. I. Efendiev
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Infinite memory effects on the stabilization of a biharmonic Schrödinger equation
Electronic Journal of Qualitative Theory of Differential Equations, 2023 This paper deals with the stabilization of the linear biharmonic Schrödinger equation in an $n$-dimensional open bounded domain under Dirichlet–Neumann boundary conditions considering three infinite memory terms as damping mechanisms.
Roberto de A. Capistrano-Filho +2 more
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Asymptotic properties of Dirichlet kernel density estimators
Journal of Multivariate Analysis, 2022 25 pages, 3 figures; v4: final ...
Ouimet, F., Tolosana Delgado, R.
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Laplace Dirichlet heat kernels in convex domains [PDF]
Journal of Differential Equations, 2022 We provide general lower and upper bounds for Laplace Dirichlet heat kernel of convex $\mathcal C^{1,1}$ domains. The obtained estimates precisely describe the exponential behaviour of the kernels, which has been known only in a few special cases so far. Furthermore, we characterize a class of sets for which the estimates are sharp, i.e.
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Some Hilbert spaces related with the Dirichlet space
Concrete Operators, 2016 We study the reproducing kernel Hilbert space with kernel kd , where d is a positive integer and k is the reproducing kernel of the analytic Dirichlet space.
Arcozzi Nicola +4 more
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Differential-Difference Elliptic Equations with Nonlocal Potentials in Half-Spaces
Mathematics, 2023 We investigate the half-space Dirichlet problem with summable boundary-value functions for an elliptic equation with an arbitrary amount of potentials undergoing translations in arbitrary directions.
Andrey B. Muravnik
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Variational Dirichlet Blur Kernel Estimation
IEEE Transactions on Image Processing, 2015 Blind image deconvolution involves two key objectives: 1) latent image and 2) blur estimation. For latent image estimation, we propose a fast deconvolution algorithm, which uses an image prior of nondimensional Gaussianity measure to enforce sparsity and an undetermined boundary condition methodology to reduce boundary artifacts. For blur estimation, a
Xu, Zhou +4 more
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N=2 gauge theories on the hemisphere HS4
Nuclear Physics B, 2017 Using localization techniques, we compute the path integral of N=2 SUSY gauge theory coupled to matter on the hemisphere HS4, with either Dirichlet or Neumann supersymmetric boundary conditions.
Edi Gava +3 more
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