Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Ascoli, Ruben"'
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
Let $\mathbb{F}_q^d$ be the $d$-dimensional vector space over the finite field with $q$ elements. For a subset $E\subseteq \mathbb{F}_q^d$ and a fixed nonzero $t\in \mathbb{F}_q$, let $\mathcal{H}_t(E)=\{h_y: y\in E\}$, where $h_y$ is the indicator f
Externí odkaz:
http://arxiv.org/abs/2307.10425
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
Autor:
Ascoli, Ruben, Cheigh, Justin, Moura, Guilherme Zeus Dantas e, Jeong, Ryan, Keisling, Andrew, Lilly, Astrid, Miller, Steven J., Ngamlamai, Prakod, Phang, Matthew
Given a group $G$, we say that a set $A \subseteq G$ has more sums than differences (MSTD) if $|A+A| > |A-A|$, has more differences than sums (MDTS) if $|A+A| < |A-A|$, or is sum-difference balanced if $|A+A| = |A-A|$. A problem of recent interest ha
Externí odkaz:
http://arxiv.org/abs/2210.00669
Autor:
Ascoli, Ruben, Betti, Livia, Duke, Jacob Lehmann, Liu, Xuyan, Milgrim, Wyatt, Miller, Steven J., Palsson, Eyvindur A., Acosta, Francisco Romero, Iannuzzelli, Santiago Velazquez
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, vol. 25:1, Combinatorics (February 27, 2023) dmtcs:10037
In 1946, Erd\H{o}s posed the distinct distance problem, which seeks to find the minimum number of distinct distances between pairs of points selected from any configuration of $n$ points in the plane. The problem has since been explored along with ma
Externí odkaz:
http://arxiv.org/abs/2208.13284
Autor:
Ascoli, Ruben G.
This paper develops the process of using Richardson Extrapolation to improve the Kernel Density Estimation method, resulting in a more accurate (lower Mean Squared Error) estimate of a probability density function for a distribution of data in $R_d$
Externí odkaz:
http://arxiv.org/abs/1812.08619
Autor:
Ascoli, Ruben1, Betti, Livia2, Lehmann Duke, Jacob3, Xuyan Liu4, Milgrim, Wyatt5, Miller, Steven J.3, Palsson, Eyvindur A.6, Acosta, Francisco Romero6, Velazquez Iannuzzelli, Santiago7
Publikováno v:
Discrete Mathematics & Theoretical Computer Science (DMTCS). 2023, Vol. 25 Issue 1, p1-19. 19p.
Autor:
Mehta K; Center for Neural Informatics, Structures & Plasticity, George Mason University, Fairfax, VA, USA., Ljungquist B; Center for Neural Informatics, Structures & Plasticity, George Mason University, Fairfax, VA, USA., Ogden J; Center for Neural Informatics, Structures & Plasticity, George Mason University, Fairfax, VA, USA., Nanda S; Center for Neural Informatics, Structures & Plasticity, George Mason University, Fairfax, VA, USA., Ascoli RG; Center for Neural Informatics, Structures & Plasticity, George Mason University, Fairfax, VA, USA., Ng L; Allen Institute for Brain Science, Seattle, WA, USA., Ascoli GA; Center for Neural Informatics, Structures & Plasticity, George Mason University, Fairfax, VA, USA. ascoli@gmu.edu.
Publikováno v:
Nature communications [Nat Commun] 2023 Nov 16; Vol. 14 (1), pp. 7429. Date of Electronic Publication: 2023 Nov 16.