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Hierarchical clustering (HC) algorithms are generally limited to small data instances due to their runtime costs. Here we mitigate this shortcoming and explore fast HC algorithms based on random projections for single (SLC) and average…

信息检索 · 计算机科学 2014-01-24 Johannes Schneider , Michail Vlachos

Clustering is a well-known unsupervised machine learning approach capable of automatically grouping discrete sets of instances with similar characteristics. Constrained clustering is a semi-supervised extension to this process that can be…

Hierarchical clustering studies a recursive partition of a data set into clusters of successively smaller size, and is a fundamental problem in data analysis. In this work we study the cost function for hierarchical clustering introduced by…

数据结构与算法 · 计算机科学 2021-12-17 Bogdan-Adrian Manghiuc , He Sun

We propose a nearest neighbor based clustering algorithm that results in a naturally defined hierarchy of clusters. In contrast to the agglomerative and divisive hierarchical clustering algorithms, our approach is not dependent on the…

数据结构与算法 · 计算机科学 2022-03-16 Kaan Gokcesu , Hakan Gokcesu

Hierarchical clustering over graphs is a fundamental task in data mining and machine learning with applications in domains such as phylogenetics, social network analysis, and information retrieval. Specifically, we consider the recently…

数据结构与算法 · 计算机科学 2022-06-16 Arpit Agarwal , Sanjeev Khanna , Huan Li , Prathamesh Patil

Hierarchical clustering is a popular method for identifying distinct groups in a dataset. The most commonly used method for pruning a dendrogram is via a single horizontal cut. In this paper, we propose a new technique "weakest link optimal…

统计方法学 · 统计学 2023-01-20 Jiacheng Ge , Robert Tibshirani

We study a geometric representation problem, where we are given a set $\cal R$ of axis-aligned rectangles with fixed dimensions and a graph with vertex set $\cal R$. The task is to place the rectangles without overlap such that two…

Biclustering, also known as co-clustering or two-way clustering, simultaneously partitions the rows and columns of a data matrix to reveal submatrices with coherent patterns. Incorporating background knowledge into clustering to enhance…

最优化与控制 · 数学 2026-02-24 Antonio M. Sudoso

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

数据结构与算法 · 计算机科学 2019-04-12 He Sun , Luca Zanetti

Clustering is a well-known and studied problem, one of its variants, called contiguity-constrained clustering, accepts as a second input a graph used to encode prior information about cluster structure by means of contiguity constraints…

统计计算 · 统计学 2023-02-27 Etienne Côme

A scalable graphical method is presented for selecting, and partitioning datasets for the training phase of a classification task. For the heuristic, a clustering algorithm is required to get its computation cost in a reasonable proportion…

机器学习 · 计算机科学 2019-07-25 Sumedh Yadav , Mathis Bode

The growth in Internet usage has contributed to a large volume of continuously available data, and has created the need for automatic and efficient organization of the data. In this context, text clustering techniques are significant…

机器学习 · 计算机科学 2023-12-14 Fernando Simeone , Maik Olher Chaves , Ahmed Esmin

Scaling clustering algorithms to massive data sets is a challenging task. Recently, several successful approaches based on data summarization methods, such as coresets and sketches, were proposed. While these techniques provide provably…

机器学习 · 统计学 2018-02-21 Olivier Bachem , Mario Lucic , Silvio Lattanzi

This paper considers metric spaces where distances between a pair of nodes are represented by distance intervals. The goal is to study methods for the determination of hierarchical clusters, i.e., a family of nested partitions indexed by a…

社会与信息网络 · 计算机科学 2016-10-17 Weiyu Huang , Alejandro Ribeiro

In the past few decades, there has been an explosion in the amount of available data produced from various sources with different topics. The availability of this enormous data necessitates us to adopt effective computational tools to…

计算与语言 · 计算机科学 2022-12-20 Mina Samizadeh

We present a novel clustering approach for moving object trajectories that are constrained by an underlying road network. The approach builds a similarity graph based on these trajectories then uses modularity-optimization hiearchical graph…

机器学习 · 统计学 2012-10-08 Mohamed Khalil El Mahrsi , Fabrice Rossi

A natural approach to analyze interaction data of form "what-connects-to-what-when" is to create a time-series (or rather a sequence) of graphs through temporal discretization (bandwidth selection) and spatial discretization (vertex…

机器学习 · 统计学 2015-01-13 Nam H. Lee , Carey Priebe , Youngser Park , I-Jeng Wang , Michael Rosen

Correlation clustering provides a method for separating the vertices of a signed graph into the optimum number of clusters without specifying that number in advance. The main goal in this type of clustering is to minimize the number of…

组合数学 · 数学 2025-07-15 Leila Parsaei-Majd

Vector space representations of words capture many aspects of word similarity, but such methods tend to make vector spaces in which antonyms (as well as synonyms) are close to each other. We present a new signed spectral normalized graph…

计算与语言 · 计算机科学 2016-01-21 João Sedoc , Jean Gallier , Lyle Ungar , Dean Foster

Hypergraphs are a useful abstraction for modeling multiway relationships in data, and hypergraph clustering is the task of detecting groups of closely related nodes in such data. Graph clustering has been studied extensively, and there are…

数据结构与算法 · 计算机科学 2020-07-02 Nate Veldt , Austin R. Benson , Jon Kleinberg