Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Georgiadis Athanasios G."'
This is the second part of the research project initiated in Cleanthous et al (2024). We deal with the problem of the adaptive estimation of the $\mathbb{L}_2$-norm of a probability density on $\mathbb{R}^d$, $d\geq 1$, from independent observations.
Externí odkaz:
http://arxiv.org/abs/2405.16527
We deal with the problem of the adaptive estimation of the $\mathbb{L}_2$-norm of a probability density on $\mathbb{R}^d$, $d\geq 1$, from independent observations. The unknown density is assumed to be uniformly bounded and to belong to the union of
Externí odkaz:
http://arxiv.org/abs/2405.16515
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 8, Iss 1, Pp 418-429 (2020)
We consider the general framework of a metric measure space satisfying the doubling volume property, associated with a non-negative self-adjoint operator, whose heat kernel enjoys standard Gaussian localization. We prove embedding theorems between Tr
Externí odkaz:
https://doaj.org/article/559886769496497fa9c56ee0c8158fc1
We lay down the foundation of the theory of spaces of distributions on the product $X_1\times X_2$ of doubling metric measure spaces $X_1$, $X_2$ in the presence of non-negative self-adjoint operators $L_1$, $L_2$, whose heat kernels have Gaussian lo
Externí odkaz:
http://arxiv.org/abs/2312.16718
We are studying the problem of estimating density in a wide range of metric spaces, including the Euclidean space, the sphere, the ball, and various Riemannian manifolds. Our framework involves a metric space with a doubling measure and a self-adjoin
Externí odkaz:
http://arxiv.org/abs/2304.00085
Autor:
Filippou, Georgios1 (AUTHOR) filippog@tcd.ie, Georgiadis, Athanasios G.1 (AUTHOR), Jha, Ashish Kumar2 (AUTHOR)
Publikováno v:
Marketing Letters. Mar2024, Vol. 35 Issue 1, p59-71. 13p.
We study minimax density estimation on the product space $\mathbb{R}^{d_1}\times\mathbb{R}^{d_2}$. We consider $L^p$-risk for probability density functions defined over regularity spaces that allow for different level of smoothness in each of the var
Externí odkaz:
http://arxiv.org/abs/1906.06835
We deal with homogeneous Besov and Triebel-Lizorkin spaces in the setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat kernel has Gaussian localization and the Markov property. The class of alm
Externí odkaz:
http://arxiv.org/abs/1805.01444
A new general Hormander type condition involving anisotropies and mixed norms is introduced, and boundedness results for Fourier multi- pliers on anisotropic Besov and Triebel-Lizorkin spaces of distributions with mixed Lebesgue norms are obtained. A
Externí odkaz:
http://arxiv.org/abs/1802.09193
Akademický článek
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