Zobrazeno 1 - 10
of 522
pro vyhledávání: '"Zhigljavsky, A. A."'
Autor:
Karvonen, Toni, Zhigljavsky, Anatoly
We identify a large class of positive-semidefinite kernels for which a certain polynomial rate of convergence of maximum mean discrepancies of Farey sequences is equivalent to the Riemann hypothesis. This class includes all Mat\'ern kernels of order
Externí odkaz:
http://arxiv.org/abs/2407.10214
Autor:
Zhigljavsky, Anatoly, Noonan, Jack
Let $(\mathcal{X},\rho)$ be a metric space and $\lambda$ be a Borel measure on this space defined on the $\sigma$-algebra generated by open subsets of $\mathcal{X}$; this measure $\lambda$ defines volumes of Borel subsets of $\mathcal{X}$. The princi
Externí odkaz:
http://arxiv.org/abs/2211.02312
Autor:
Scherbakova, Irina, Pepelyshev, Andrey, Staroselskiy, Yuri, Zhigljavsky, Anatoly, Guchenko, Roman
Real-time bidding has transformed the digital advertising landscape, allowing companies to buy website advertising space in a matter of milliseconds in the time it takes a webpage to load. Joint research between Cardiff University and Crimtan has emp
Externí odkaz:
http://arxiv.org/abs/2211.01017
Autor:
Noonan, Jack, Zhigljavsky, Anatoly
We consider global optimization problems, where the feasible region $\X$ is a compact subset of $\mathbb{R}^d$ with $d \geq 10$. For these problems, we demonstrate the following. First: the actual convergence of global random search algorithms is muc
Externí odkaz:
http://arxiv.org/abs/2208.11542
Autor:
Pronzato, Luc, Zhigljavsky, Anatoly
A design is a collection of distinct points in a given set $X$, which is assumed to be a compact subset of $R^d$, and the mesh-ratio of a design is the ratio of its fill distance to its separation radius. The uniformity constant of a sequence of nest
Externí odkaz:
http://arxiv.org/abs/2112.10401
Autor:
Dette, Holger, Zhigljavsky, Anatoly
We show that polynomials do not belong to the reproducing kernel Hilbert space of infinitely differentiable translation-invariant kernels whose spectral measures have moments corresponding to a determinate moment problem. Our proof is based on relati
Externí odkaz:
http://arxiv.org/abs/2101.11968
Autor:
Noonan, Jack, Zhigljavsky, Anatoly
For large classes of group testing problems, we derive lower bounds for the probability that all significant items are uniquely identified using specially constructed random designs. These bounds allow us to optimize parameters of the randomization s
Externí odkaz:
http://arxiv.org/abs/2101.06130
Autor:
Noonan, Jack, Zhigljavsky, Anatoly
The main problem considered in this paper is construction and theoretical study of efficient $n$-point coverings of a $d$-dimensional cube $[-1,1]^d$. Targeted values of $d$ are between 5 and 50; $n$ can be in hundreds or thousands and the designs (c
Externí odkaz:
http://arxiv.org/abs/2006.02705
Autor:
Noonan, Jack, Zhigljavsky, Anatoly
Let $\mathbb{Z}_n = \{Z_1, \ldots, Z_n\}$ be a design; that is, a collection of $n$ points $Z_j \in [-1,1]^d$. We study the quality of quantization of $[-1,1]^d$ by the points of $\mathbb{Z}_n$ and the problem of quality of coverage of $[-1,1]^d$ by
Externí odkaz:
http://arxiv.org/abs/2005.07938
We model further development of the COVID-19 epidemic in the UK given the current data and assuming different scenarios of handling the epidemic. In this research, we further extend the stochastic model suggested in \cite{us} and incorporate in it al
Externí odkaz:
http://arxiv.org/abs/2004.04583