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The basic idea of the kd-tree algorithm is to recursively partition a point set P by hyperplanes, and to store the obtained partitioning in a binary tree. Due to its immense popularity, many applications in astronomy have been implemented.…

天体物理学 · 物理学 2008-01-15 Dan Gao , Yanxia Zhang , Yongheng Zhao

With the explosive increase of big data in industry and academic fields, it is necessary to apply large-scale data processing systems to analysis Big Data. Arguably, Spark is state of the art in large-scale data computing systems nowadays,…

分布式、并行与集群计算 · 计算机科学 2020-12-17 Shanjiang Tang , Bingsheng He , Ce Yu , Yusen Li , Kun Li

Various modifications of decision trees have been extensively used during the past years due to their high efficiency and interpretability. Tree node splitting based on relevant feature selection is a key step of decision tree learning, at…

机器学习 · 计算机科学 2017-09-05 Dmitry Ignatov , Andrey Ignatov

Clustering techniques are very attractive for extracting and identifying patterns in datasets. However, their application to very large spatial datasets presents numerous challenges such as high-dimensionality data, heterogeneity, and high…

数据库 · 计算机科学 2018-02-27 Malika Bendechache , Nhien-An Le-Khac , M-Tahar Kechadi

Two kinds of approximation algorithms exist for the k-BALANCED PARTITIONING problem: those that are fast but compute unsatisfying approximation ratios, and those that guarantee high quality ratios but are slow. In this paper we prove that…

计算复杂性 · 计算机科学 2019-04-29 Andreas Emil Feldmann

Large-scale knowledge graphs are increasingly common in many domains. Their large sizes often exceed the limits of systems storing the graphs in a centralized data store, especially if placed in main memory. To overcome this, large…

数据库 · 计算机科学 2022-03-29 Amitabh Priyadarshi , Krzysztof J. Kochut

With the popularity of mobile devices and the development of geo-positioning technology, location-based services (LBS) attract much attention and top-k spatial keyword queries become increasingly complex. It is common to see that clients…

数据结构与算法 · 计算机科学 2022-07-26 Xinshi Zang , Peiwen Hao , Xiaofeng Gao , Bin Yao , Guihai Chen

Problems in scientific computing, such as distributing large sparse matrix operations, have analogous formulations as hypergraph partitioning problems. A hypergraph is a generalization of a traditional graph wherein "hyperedges" may connect…

数据结构与算法 · 计算机科学 2022-06-16 Justin Sybrandt , Ruslan Shaydulin , Ilya Safro

With the increasing use of RDF graphs, storing and querying such data using SPARQL remains a critical problem. Current mainstream solutions rely on cloud-based data management architectures, but often suffer from performance bottlenecks in…

数据库 · 计算机科学 2026-01-27 Shidan Ma , Peng Peng , Xu Zhou , M. Tamer Özsu , Lei Zou , Guo Chen

Sampling-based motion planners perform exceptionally well in robotic applications that operate in high-dimensional space. However, most works often constrain the planning workspace rooted at some fixed locations, do not adaptively reason on…

机器人学 · 计算机科学 2021-03-09 Tin Lai

Recently, graph mining approaches have become very popular, especially in domains such as bioinformatics, chemoinformatics and social networks. In this scope, one of the most challenging tasks is frequent subgraph discovery. This task has…

数据库 · 计算机科学 2016-08-24 Sabeur Aridhi , Laurent d'Orazio , Mondher Maddouri , Engelbert Mephu Nguifo

We study online graph queries that retrieve nearby nodes of a query node from a large network. To answer such queries with high throughput and low latency, we partition the graph and process the data in parallel across a cluster of servers.…

数据库 · 计算机科学 2017-10-17 Arijit Khan , Gustavo Segovia , Donald Kossmann

Two fundamental algorithm-design paradigms are Tree Search and Dynamic Programming. The techniques used therein have been shown to complement one another when solving the complete set partitioning problem, also known as the coalition…

多智能体系统 · 计算机科学 2018-08-24 Talal Rahwan , Tomasz P. Michalak

This paper investigates the problems large-scale distributed composite convex optimization, with motivations from a broad range of applications, including multi-agent systems, federated learning, smart grids, wireless sensor networks,…

最优化与控制 · 数学 2025-12-16 Maoran Wang , Xingju Cai , Yongxin Chen

The issue of internal fragmentation in data structures is a fundamental challenge in database design. A seminal result of Yao in this field shows that evenly splitting the leaves of a B-tree against a workload of uniformly random insertions…

数据结构与算法 · 计算机科学 2026-03-13 Michael A. Bender , Aaron Bernstein , Nairen Cao , Alex Conway , Martín Farach-Colton , Hanna Komlós , Yarin Shechter , Nicole Wein

In order to improve system performance efficiently, a number of systems choose to equip multi-core and many-core processors (such as GPUs). Due to their discrete memory these heterogeneous architectures comprise a distributed system within…

分布式、并行与集群计算 · 计算机科学 2015-02-27 Hao Wu , Daniel Lohmann , Wolfgang Schröder-Preikschat

The Binary Space Partitioning~(BSP)-Tree process is proposed to produce flexible 2-D partition structures which are originally used as a Bayesian nonparametric prior for relational modelling. It can hardly be applied to other learning tasks…

机器学习 · 统计学 2019-03-25 Xuhui Fan , Bin Li , Scott Anthony Sisson

Spatial transcriptomics (ST) profiles gene expression across a tissue section while preserving the spatial coordinates. Because current ST technologies typically profile two-dimensional tissue slices, integrating and aligning slices from…

定量方法 · 定量生物学 2026-03-20 Yaqi Wu , Jingfeng Wang , Xin Maizie Zhou , Yanxiang Zhao , Zixuan Cang

Graph Partitioning is widely used in many real-world applications such as fraud detection and social network analysis, in order to enable the distributed graph computing on large graphs. However, existing works fail to balance the…

分布式、并行与集群计算 · 计算机科学 2024-03-07 Li Zeng , Haohan Huang , Binfan Zheng , Kang Yang , Shengcheng Shao , Jinhua Zhou , Jun Xie , Rongqian Zhao , Xin Chen

Approximation of scattered data is often a task in many engineering problems. The Radial Basis Function (RBF) approximation is appropriate for big scattered datasets in $n-$dimensional space. It is a non-separable approximation, as it is…

计算工程、金融与科学 · 计算机科学 2018-06-22 Zuzana Majdisova , Vaclav Skala