Zobrazeno 1 - 10
of 545 184
pro vyhledávání: '"To, Q. D."'
Autor:
Liashyk, A., Pakuliak, S.
The connection between the R-matrix realization and Drinfeld's realization of the quantum loop algebra $U_q(D^{(2)}_n)$ is considered using the Gaussian decomposition approach proposed by J. Ding and I. B. Frenkel. Our main result is a description of
Externí odkaz:
http://arxiv.org/abs/2409.02021
Publikováno v:
Annals of Operations Research. Aug2024, Vol. 339 Issue 1/2, p329-348. 20p.
A conjecture on radial projections in $\mathbb{F}_q^d$ states that if $E\subset \mathbb{F}_q^n$ with $q^{k-1}< |E|\leq q^{k}$ for some $k \in \{1,\dots, n-1\}$, then \[ \#\{y\in \mathbb{F}_q^n \mid |\pi^y(E)| < |E| \} \leq q^k. \] The case $k=n-1$ wa
Externí odkaz:
http://arxiv.org/abs/2311.05127
Autor:
Bhowmik, Pablo, Rakhmonov, Firdavs
Let $E\subset\mathbb{F}_q^d$ and $\lVert \cdot \rVert:\mathbb{F}_q^d\to \mathbb{F}_q$ defined as $\lVert \alpha\rVert:= \alpha_1^2+\dots+\alpha_d^2$ if $\alpha=(\alpha_1,\dots,\alpha_d)\in \mathbb{F}_q^d$, where $\mathbb{F}_q^d$ is the $d$-dimensiona
Externí odkaz:
http://arxiv.org/abs/2305.10685
Autor:
Bright, Paige, Fang, Xinyu, Heritage, Barrett, Iosevich, Alex, Jiang, Tingsong, Parshall, Hans, Sun, Maxwell
In this paper, we generalize \cite{IosevichParshall}, \cite{LongPaths} and \cite{cycles} by allowing the \emph{distance} between two points in a finite field vector space to be defined by a general non-degenerate bilinear form or quadratic form. We p
Externí odkaz:
http://arxiv.org/abs/2308.10853
Autor:
Purucker, Lennart, Schneider, Lennart, Anastacio, Marie, Beel, Joeran, Bischl, Bernd, Hoos, Holger
Automated machine learning (AutoML) systems commonly ensemble models post hoc to improve predictive performance, typically via greedy ensemble selection (GES). However, we believe that GES may not always be optimal, as it performs a simple determinis
Externí odkaz:
http://arxiv.org/abs/2307.08364
Autor:
Xie, Chengfei, Ge, Gennian
In this paper, we study problems about the similar configurations in $\mathbb{F}_q^d$. Let $G=(V, E)$ be a graph, where $V=\{1, 2, \ldots, n\}$ and $E\subseteq{V\choose2}$. For a set $\mathcal{E}$ in $\mathbb{F}_q^d$, we say that $\mathcal{E}$ contai
Externí odkaz:
http://arxiv.org/abs/2301.12841
The purpose of this paper is to introduce and study the following graph theoretic paradigm. Let $$T_Kf(x)=\int K(x,y) f(y) d\mu(y),$$ where $f: X \to {\Bbb R}$, $X$ a set, finite or infinite, and $K$ and $\mu$ denote a suitable kernel and a measure,
Externí odkaz:
http://arxiv.org/abs/2301.00463
Autor:
Ascoli, Ruben, Betti, Livia, Cheigh, Justin, Iosevich, Alex, Jeong, Ryan, Liu, Xuyan, McDonald, Brian, Milgrim, Wyatt, Miller, Steven J., Acosta, Francisco Romero, Iannuzzelli, Santiago Velazquez
Given a domain $X$ and a collection $\mathcal{H}$ of functions $h:X\to \{0,1\}$, the Vapnik-Chervonenkis (VC) dimension of $\mathcal{H}$ measures its complexity in an appropriate sense. In particular, the fundamental theorem of statistical learning s
Externí odkaz:
http://arxiv.org/abs/2210.03058