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相关论文: Top-K Color Queries for Document Retrieval

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With the evolution of quantum computing, researchers now-a-days tend to incline to find solutions to NP-complete problems by using quantum algorithms in order to gain asymptotic advantage. In this paper, we solve $k$-coloring problem…

新兴技术 · 计算机科学 2022-02-23 Amit Saha , Debasri Saha , Amlan Chakrabarti

In the NP-hard Max $c$-Cut problem, one is given an undirected edge-weighted graph $G$ and aims to color the vertices of $G$ with $c$ colors such that the total weight of edges with distinctly colored endpoints is maximal. The case with…

计算复杂性 · 计算机科学 2024-09-23 Jaroslav Garvardt , Niels Grüttemeier , Christian Komusiewicz , Nils Morawietz

In an undirected graph, a proper (k,i)-coloring is an assignment of a set of k colors to each vertex such that any two adjacent vertices have at most i common colors. The (k,i)-coloring problem is to compute the minimum number of colors…

数据结构与算法 · 计算机科学 2020-09-14 Sriram Bhyravarapu , Saurabh Joshi , Subrahmanyam Kalyanasundaram , Anjeneya Swami Kare

Let S be a finite, ordered alphabet, and let x = x_1 x_2 ... x_n be a string over S. A "secondary index" for x answers alphabet range queries of the form: Given a range [a_l,a_r] over S, return the set I_{[a_l;a_r]} = {i |x_i \in [a_l;…

数据库 · 计算机科学 2008-11-19 Rasmus Pagh , S. Srinivasa Rao

Recently, a novel machine learning model has emerged in the field of reinforcement learning known as deep Q-learning. This model is capable of finding the best possible solution in systems consisting of millions of choices, without ever…

图像与视频处理 · 电气工程与系统科学 2018-10-26 Iman Sajedian , Trevon Badloe , Junsuk Rho

We study the problem of designing a data structure that reports the positions of the distinct $\tau$-majorities within any range of an array $A[1,n]$, without storing $A$. A $\tau$-majority in a range $A[i,j]$, for $0<\tau< 1$, is an…

数据结构与算法 · 计算机科学 2014-10-07 Gonzalo Navarro , Sharma V. Thankachan

Order-preserving pattern matching was introduced recently but it has already attracted much attention. Given a reference sequence and a pattern, we want to locate all substrings of the reference sequence whose elements have the same…

数据结构与算法 · 计算机科学 2018-12-11 Gianni Decaroli , Travis Gagie , Giovanni Manzini

The problem of finding the shortest path in a graph G(V, E) has been widely studied. However, in many applications it is necessary to compute an arbitrary number of them, k. Even though the problem has raised a lot of interest from…

数据结构与算法 · 计算机科学 2024-08-16 Carlos Linares López , Ian Herman

We study distributed algorithms that find a maximal matching in an anonymous, edge-coloured graph. If the edges are properly coloured with $k$ colours, there is a trivial greedy algorithm that finds a maximal matching in $k-1$ synchronous…

分布式、并行与集群计算 · 计算机科学 2013-12-24 Juho Hirvonen , Jukka Suomela

In the Priority $k$-Supplier problem the input consists of a metric space $(F \cup C, d)$ over set of facilities $F$ and a set of clients $C$, an integer $k > 0$, and a non-negative radius $r_v$ for each client $v \in C$. The goal is to…

数据结构与算法 · 计算机科学 2024-06-24 Chandra Chekuri , Junkai Song

We present a deterministic distributed algorithm that computes a $(2\Delta-1)$-edge-coloring, or even list-edge-coloring, in any $n$-node graph with maximum degree $\Delta$, in $O(\log^7 \Delta \log n)$ rounds. This answers one of the…

数据结构与算法 · 计算机科学 2017-04-11 Manuela Fischer , Mohsen Ghaffari , Fabian Kuhn

We consider document listing on string collections, that is, finding in which strings a given pattern appears. In particular, we focus on repetitive collections: a collection of size $N$ over alphabet $[1,\sigma]$ is composed of $D$ copies…

数据结构与算法 · 计算机科学 2018-11-15 Gonzalo Navarro

The intersection of learning to rank and choice modeling is an active area of research with applications in e-commerce, information retrieval and the social sciences. In some applications such as recommendation systems, the statistician is…

机器学习 · 计算机科学 2023-03-16 Duc Nguyen

This paper studies sufficient conditions to obtain efficient distributed algorithms coloring graphs optimally (i.e.\ with the minimum number of colors) in the LOCAL model of computation. Most of the work on distributed vertex coloring so…

组合数学 · 数学 2019-01-25 Étienne Bamas , Louis Esperet

Coloring unit-disk graphs efficiently is an important problem in the global and distributed setting, with applications in radio channel assignment problems when the communication relies on omni-directional antennas of the same power. In…

分布式、并行与集群计算 · 计算机科学 2023-01-23 Louis Esperet , Sébastien Julliot , Arnaud de Mesmay

We consider the Top-$K$ selection problem, which aims to identify the largest $K$ elements in an array. Top-$K$ selection arises in many machine learning algorithms and often becomes a bottleneck on accelerators, which are optimized for…

机器学习 · 计算机科学 2026-05-14 Yashas Samaga , Varun Yerram , Spandana Raj Babbula , Prateek Jain , Praneeth Netrapalli

In the Colored Clustering problem, one is asked to cluster edge-colored (hyper-)graphs whose colors represent interaction types. More specifically, the goal is to select as many edges as possible without choosing two edges that share an…

数据结构与算法 · 计算机科学 2023-02-02 Leon Kellerhals , Tomohiro Koana , Pascal Kunz , Rolf Niedermeier

Recently, graph query is widely adopted for querying knowledge graphs. Given a query graph $G_Q$, the graph query finds subgraphs in a knowledge graph $G$ that exactly or approximately match $G_Q$. We face two challenges on graph query: (1)…

数据库 · 计算机科学 2020-01-20 Yuxiang Wang , Arijit Khan , Tianxing Wu , Jiahui Jin , Haijiang Yan

A functional $k$-batch code of dimension $s$ consists of $n$ servers storing linear combinations of $s$ linearly independent information bits. These codes are designed to recover any multiset of $k$ requests, each being a linear combination…

信息论 · 计算机科学 2025-01-23 Lev Yohananov , Isaac Barouch Essayag

Permutation patterns and pattern avoidance have been intensively studied in combinatorics and computer science, going back at least to the seminal work of Knuth on stack-sorting (1968). Perhaps the most natural algorithmic question in this…

数据结构与算法 · 计算机科学 2019-08-14 Benjamin Aram Berendsohn , László Kozma , Dániel Marx