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We develop a family of simple rank one theories built over quite arbitrary sequences of finite hypergraphs. (This extends an idea from the recent proof that Keisler's order has continuum many classes, however, the construction does not…

逻辑 · 数学 2024-07-24 M. Malliaris , S. Shelah

Comprehensive evaluation is one of the basis of experimental science. In High-Performance Graph Processing, a thorough evaluation of contributions becomes more achievable by supporting common input formats over different frameworks.…

硬件体系结构 · 计算机科学 2025-10-29 Mohsen Koohi Esfahani , Marco D'Antonio , Syed Ibtisam Tauhidi , Thai Son Mai , Hans Vandierendonck

We introduce hybrid classical-quantum algorithms for problems involving a large classical data set X and a space of models Y such that a quantum computer has superposition access to Y but not X. These algorithms use data reduction…

量子物理 · 物理学 2020-04-07 Aram W. Harrow

A complex network is a condensed representation of the relational topological framework of a complex system. A main reason for the existence of such networks is the transmission of items through the entities of these complex systems. Here,…

物理与社会 · 物理学 2018-04-18 María Pereda , Ernesto Estrada

In this paper we consider the problem of clustering collections of very short texts using subspace clustering. This problem arises in many applications such as product categorisation, fraud detection, and sentiment analysis. The main…

机器学习 · 统计学 2019-01-29 Hankui Peng , Nicos Pavlidis , Idris Eckley , Ioannis Tsalamanis

We present a framework to define a large class of neural networks for which, by construction, training by gradient flow provably reaches arbitrarily low loss when the number of parameters grows. Distinct from the fixed-space global…

最优化与控制 · 数学 2025-01-13 David A. R. Robin , Kevin Scaman , Marc Lelarge

Real-world networks exhibit prominent hierarchical and modular structures, with various subgraphs as building blocks. Most existing studies simply consider distinct subgraphs as motifs and use only their numbers to characterize the…

社会与信息网络 · 计算机科学 2019-12-17 Qi Xuan , Jinhuan Wang , Minghao Zhao , Junkun Yuan , Chenbo Fu , Zhongyuan Ruan , Guanrong Chen

We introduce succinct lossless representations of query results called covers. They are subsets of the query results that correspond to minimal edge covers in the hypergraphs of these results. We first study covers whose structures are…

数据库 · 计算机科学 2018-01-12 Ahmet Kara , Dan Olteanu

Compound graphs are networks in which vertices can be grouped into larger subsets, with these subsets capable of further grouping, resulting in a nesting that can be many levels deep. In several applications, including biological workflows,…

人机交互 · 计算机科学 2024-08-09 Chang Han , Justin Lieffers , Clayton Morrison , Katherine E. Isaacs

Local graph clustering is an important algorithmic technique for analysing massive graphs, and has been widely applied in many research fields of data science. While the objective of most (local) graph clustering algorithms is to find a…

数据结构与算法 · 计算机科学 2021-06-10 Peter Macgregor , He Sun

We propose MetroSets, a new, flexible online tool for visualizing set systems using the metro map metaphor. We model a given set system as a hypergraph $\mathcal{H} = (V, \mathcal{S})$, consisting of a set $V$ of vertices and a set…

图形学 · 计算机科学 2021-05-14 Ben Jacobsen , Markus Wallinger , Stephen Kobourov , Martin Nöllenburg

Bin covering is a dual version of classic bin packing. Thus, the goal is to cover as many bins as possible, where covering a bin means packing items of total size at least one in the bin. For online bin covering, competitive analysis fails…

数据结构与算法 · 计算机科学 2014-02-28 Marie G. Christ , Lene M. Favrholdt , Kim S. Larsen

We study a variant of online bin packing, called colorful bin packing. In this problem, items that are presented one by one are to be packed into bins of size 1. Each item i has a size s_i \in [0,1] and a color c_i \in C, where C is a set…

数据结构与算法 · 计算机科学 2014-04-16 Gyorgy Dosa , Leah Epstein

There is an increasing demand to incorporate hybrid environments as part of workflows across edge, cloud, and HPC systems. In a such converging environment of cloud and HPC, containers are starting to play a more prominent role, bringing…

分布式、并行与集群计算 · 计算机科学 2022-11-22 Anton Njavro , James Tau , Taylor Groves , Nicholas J. Wright , Richard West

Pioneered by Google's Pregel, many distributed systems have been developed for large-scale graph analytics. These systems expose the user-friendly "think like a vertex" programming interface to users, and exhibit good horizontal…

分布式、并行与集群计算 · 计算机科学 2016-01-26 Da Yan , James Cheng , M. Tamer Özsu , Fan Yang , Yi Lu , John C. S. Lui , Qizhen Zhang , Wilfred Ng

Subgraph queries also known as subgraph isomorphism search is a fundamental problem in querying graph-like structured data. It consists to enumerate the subgraphs of a data graph that match a query graph. This problem arises in many…

数据库 · 计算机科学 2018-07-11 C. Nabti , T. Mecharnia , S. E. Boukhetta , H. Seba , K. Amrouche

We give nearly optimal bounds on the sample complexity of $(\widetilde{\Omega}(\epsilon),\epsilon)$-tolerant testing the $\rho$-independent set property in the dense graph setting. In particular, we give an algorithm that inspects a random…

数据结构与算法 · 计算机科学 2025-03-28 Cameron Seth

In this article we look at the potential of cloud containers and we provide some guidelines for companies and organisations that are starting to look at how to migrate their legacy infrastructure to something modern, reliable and scalable.…

分布式、并行与集群计算 · 计算机科学 2021-11-04 Damiano Perri , Marco Simonetti , Sergio Tasso , Federico Ragni , Osvaldo Gervasi

We study the solution of a large-scale transportation problem with an additional constraint on the sparsity of inbound flows. Such problems arise in the management of inventory for online retailers that operate with many order fulfillment…

最优化与控制 · 数学 2014-02-12 Annie I. Chen , Stephen C. Graves

Graph representation learning models aim to represent the graph structure and its features into low-dimensional vectors in a latent space, which can benefit various downstream tasks, such as node classification and link prediction. Due to…

机器学习 · 计算机科学 2023-04-27 Thanh Sang Nguyen , Jooho Lee , Van Thuy Hoang , O-Joun Lee