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Efficient index structures for fast approximate nearest neighbor queries are required in many applications such as recommendation systems. In high-dimensional spaces, many conventional methods suffer from excessive usage of memory and slow…

In this work we explore degree assortativity in complex networks, and extend its usual definition beyond that of nearest neighbours. We apply this definition to model networks, and describe a rewiring algorithm that induces assortativity.…

物理与社会 · 物理学 2024-06-04 Pádraig MacCarron , Shane Mannion , Thierry Platini

Attempting to recognize a tree inside a phylogenetic network is a fundamental undertaking in evolutionary analysis. In the last few years, therefore, tree-based phylogenetic networks, which are defined by a spanning tree called a…

组合数学 · 数学 2020-09-29 Momoko Hayamizu

We study the problem of maximizing the number of spanning trees in a connected graph by adding at most $k$ edges from a given candidate edge set. We give both algorithmic and hardness results for this problem: - We give a greedy algorithm…

数据结构与算法 · 计算机科学 2018-07-17 Huan Li , Stacy Patterson , Yuhao Yi , Zhongzhi Zhang

Neighborhood graphs and clustering algorithms are fundamental structures in both computational geometry and data analysis. Visualizing them can help build insight into their behavior and properties. The Ipe extensible drawing editor,…

Evolutionary relationships between species are usually inferred through phylogenetic analysis, which provides phylogenetic trees computed from allelic profiles built by sequencing specific regions of the sequences and abstracting them to…

数据结构与算法 · 计算机科学 2021-01-01 Luana Silva

$K$-NN classifier is one of the most famous classification algorithms, whose performance is crucially dependent on the distance metric. When we consider the distance metric as a parameter of $K$-NN, learning an appropriate distance metric…

机器学习 · 计算机科学 2019-11-26 Kun Song

Relations between discrete quantities such as people, genes, or streets can be described by networks, which consist of nodes that are connected by edges. Network analysis aims to identify important nodes in a network and to uncover…

数值分析 · 数学 2021-09-21 A. Concas , S. Noschese , L. Reichel , G. Rodriguez

We propose an efficient algorithm for graph matching based on similarity scores constructed from counting a certain family of weighted trees rooted at each vertex. For two Erd\H{o}s-R\'enyi graphs $\mathcal{G}(n,q)$ whose edges are…

数据结构与算法 · 计算机科学 2023-02-15 Cheng Mao , Yihong Wu , Jiaming Xu , Sophie H. Yu

The emergence of massive graph data sets requires fast mining algorithms. Centrality measures to identify important vertices belong to the most popular analysis methods in graph mining. A measure that is gaining attention is forest…

数据结构与算法 · 计算机科学 2021-01-18 Alexander van der Grinten , Eugenio Angriman , Maria Predari , Henning Meyerhenke

The nearest neighbor (NN) technique is very simple, highly efficient and effective in the field of pattern recognition, text categorization, object recognition etc. Its simplicity is its main advantage, but the disadvantages can't be…

计算机视觉与模式识别 · 计算机科学 2010-07-02 Nitin Bhatia , Vandana

The nearest-neighbor rule is a well-known classification technique that, given a training set P of labeled points, classifies any unlabeled query point with the label of its closest point in P. The nearest-neighbor condensation problem aims…

计算几何 · 计算机科学 2020-06-30 Alejandro Flores-Velazco

Training Graph Convolutional Networks (GCNs) is expensive as it needs to aggregate data recursively from neighboring nodes. To reduce the computation overhead, previous works have proposed various neighbor sampling methods that estimate the…

机器学习 · 计算机科学 2021-01-20 Peng Jiang , Masuma Akter Rumi

The weighted k-nearest neighbors algorithm is one of the most fundamental non-parametric methods in pattern recognition and machine learning. The question of setting the optimal number of neighbors as well as the optimal weights has…

机器学习 · 统计学 2017-01-26 Oren Anava , Kfir Y. Levy

The complexity of nearest-neighbor search dominates the asymptotic running time of many sampling-based motion-planning algorithms. However, collision detection is often considered to be the computational bottleneck in practice. Examining…

机器人学 · 计算机科学 2016-11-01 Michal Kleinbort , Oren Salzman , Dan Halperin

This paper proposes a new algorithm for reducing Approximate Nearest Neighbor problem to Approximate Near Neighbor problem. The advantage of this algorithm is that it achieves O(log n) query time. As a reduction problem, the uery time…

数据结构与算法 · 计算机科学 2018-09-27 Hengzhao Ma , Jianzhong Li

The Robinson-Foulds (RF) distance is by far the most widely used measure of dissimilarity between trees. Although the distribution of these distances has been investigated for twenty years, an algorithm that is explicitly polynomial time…

种群与进化 · 定量生物学 2008-10-07 David Bryant , Mike Steel

We propose a method for demonstrating sub community structure in scientific networks of relatively small size from analyzing databases of publications. Research relationships between the network members can be visualized as a graph with…

社会与信息网络 · 计算机科学 2017-05-05 Steven B. Bradlow , Konstantinos Kapenekakis , Georgios Kydonakis , Xinwei Li , Jiarui Xu

The $k$-d tree is one of the oldest and most widely used data structures for nearest neighbor search. It partitions Euclidean space into axis-aligned rectangular cells. There are two standard ways to find the nearest neighbor to a query in…

数据结构与算法 · 计算机科学 2026-05-13 Marco Bazzani , Sanjoy Dasgupta

We study the problem of optimal traffic prediction and monitoring in large-scale networks. Our goal is to determine which subset of K links to monitor in order to "best" predict the traffic on the remaining links in the network. We consider…

数据结构与算法 · 计算机科学 2013-12-04 Michael Kallitsis , Stilian Stoev , George Michailidis
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