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pro vyhledávání: '"Park, Sun Woo"'
Transformers have revolutionized performance in Natural Language Processing and Vision, paving the way for their integration with Graph Neural Networks (GNNs). One key challenge in enhancing graph transformers is strengthening the discriminative powe
Externí odkaz:
http://arxiv.org/abs/2402.02005
Graph Neural Networks (GNNs) and Transformer have been increasingly adopted to learn the complex vector representations of spatio-temporal graphs, capturing intricate spatio-temporal dependencies crucial for applications such as traffic datasets. Alt
Externí odkaz:
http://arxiv.org/abs/2401.15894
Autor:
Park, Sun Woo
Fix a prime number $p$. Let $\mathbb{F}_q$ be a finite field of characteristic coprime to 2, 3, and $p$, which also contains the primitive $p$-th root of unity $\mu_p$. Based on the works by Swinnerton-Dyer and Klagsbrun, Mazur, and Rubin, we prove t
Externí odkaz:
http://arxiv.org/abs/2211.11486
This paper presents the Persistent Weisfeiler-Lehman Random walk scheme (abbreviated as PWLR) for graph representations, a novel mathematical framework which produces a collection of explainable low-dimensional representations of graphs with discrete
Externí odkaz:
http://arxiv.org/abs/2208.13427
Autor:
Park, Sun Woo, Jun, Kyungtaek
Previous research on quantum annealing methods focused on effectively modeling systems of linear equations by utilizing quadratic unconstrained binary optimization (QUBO) formulations. These studies take part in enhancing quantum computing algorithms
Externí odkaz:
http://arxiv.org/abs/2111.10084
Recent studies on quantum computing algorithms focus on excavating features of quantum computers which have potential for contributing to computational model enhancements. Among various approaches, quantum annealing methods effectively parallelize qu
Externí odkaz:
http://arxiv.org/abs/2111.00747
Autor:
Kim, Hyun Jong, Park, Sun Woo
Given a projective smooth curve $X$ over any field $k$, we discuss two notions of global $\mathbb{A}^1$ degree of a finite morphism of smooth curves $f: X \to \mathbb{P}^1_k$ satisfying certain conditions. One originates from computing the Euler numb
Externí odkaz:
http://arxiv.org/abs/2106.10586
Autor:
Park, Sun Woo, Wang, Niudun
In this paper, we prove a function field-analogue of Poonen-Rains heuristics on the average size of $p$-Selmer group. Let $E$ be an elliptic curve defined over $\mathbb{Z}[t]$. Then $E$ is also defined over $\mathbb{F}_q$ for any $q$ of prime power.
Externí odkaz:
http://arxiv.org/abs/2102.00549
Autor:
Park, Cheol-Min, Park, Sun Woo
Given a number field $L$, we define the degree of an algebraic number $v \in L$ with respect to a choice of a primitive element of $L$. We propose the question of computing the minimal degrees of algebraic numbers in $L$, and examine these values in
Externí odkaz:
http://arxiv.org/abs/2007.00956
Autor:
Park, Sun Woo, Sitaraman, Maithreya
Publikováno v:
Communications in Algebra, 2022
Given a chain of groups $G_0 \le G_1 \le G_2 ... $, we may form the corresponding chain of their representation rings, together with induction and restriction operators. We may let $\textrm{Res}^l$ denote the operator which restricts down $l$ steps,
Externí odkaz:
http://arxiv.org/abs/1909.09280