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Pattern comparison represents a fundamental and crucial aspect of scientific modeling, artificial intelligence, and pattern recognition. Three main approaches have typically been applied for pattern comparison: (i) distances; (ii)…

物理与社会 · 物理学 2024-07-12 Alexandre Benatti , Luciano da F. Costa

The proliferation of the web presents an unsolved problem of automatically analyzing billions of pages of natural language. We introduce a scalable algorithm that clusters hundreds of millions of web pages into hundreds of thousands of…

信息检索 · 计算机科学 2015-05-22 Christopher M. de Vries , Lance De Vine , Shlomo Geva , Richi Nayak

We develop a new density-based clustering algorithm named CRAD which is based on a new neighbor searching function with a robust data depth as the dissimilarity measure. Our experiments prove that the new CRAD is highly competitive at…

统计计算 · 统计学 2019-04-09 Xin Huang , Yulia R. Gel

Integrating datasets from different disciplines is hard because the data are often qualitatively different in meaning, scale, and reliability. When two datasets describe the same entities, many scientific questions can be phrased around…

To understand complex biological systems, the research community has produced huge corpus of gene expression data. A large number of clustering approaches have been proposed for the analysis of gene expression data. However, extracting…

计算工程、金融与科学 · 计算机科学 2010-03-28 Swathi. H

Hierarchical clustering is an effective, interpretable method for analyzing structure in data. It reveals insights at multiple scales without requiring a predefined number of clusters and captures nested patterns and subtle relationships,…

Clustering is a fundamental problem in unsupervised machine learning with many applications in data analysis. Popular clustering algorithms such as Lloyd's algorithm and $k$-means++ can take $\Omega(ndk)$ time when clustering $n$ points in…

机器学习 · 计算机科学 2023-10-26 Moses Charikar , Monika Henzinger , Lunjia Hu , Maxmilian Vötsch , Erik Waingarten

Hierarchical clustering is a popular method for analyzing data which associates a tree to a dataset. Hartigan consistency has been used extensively as a framework to analyze such clustering algorithms from a statistical point of view.…

机器学习 · 统计学 2015-07-14 Justin Eldridge , Mikhail Belkin , Yusu Wang

We introduce a cluster evaluation technique called Tree Index. Our Tree Index algorithm aims at describing the structural information of the clustering rather than the quantitative format of cluster-quality indexes (where the representation…

机器学习 · 计算机科学 2020-03-25 A. H. Beg , Md Zahidul Islam , Vladimir Estivill-Castro

In this paper we formally define the hierarchical clustering network problem (HCNP) as the problem to find a good hierarchical partition of a network. This new problem focuses on the dynamic process of the clustering rather than on the…

社会与信息网络 · 计算机科学 2024-02-12 Daniel Gómez , Javier Castro , Inmaculada Gutiérrez , Rosa Espínola

We address the classical problem of hierarchical clustering, but in a framework where one does not have access to a representation of the objects or their pairwise similarities. Instead, we assume that only a set of comparisons between…

机器学习 · 统计学 2019-06-13 Debarghya Ghoshdastidar , Michaël Perrot , Ulrike von Luxburg

In this paper, we propose a new time-aware dissimilarity measure that takes into account the temporal dimension. Observations that are close in the description space, but distant in time are considered as dissimilar. We also propose a…

机器学习 · 计算机科学 2016-01-13 Marian-Andrei Rizoiu , Julien Velcin , Stéphane Lallich

We consider the problem of subspace clustering: given points that lie on or near the union of many low-dimensional linear subspaces, recover the subspaces. To this end, one first identifies sets of points close to the same subspace and uses…

机器学习 · 统计学 2014-11-03 Dohyung Park , Constantine Caramanis , Sujay Sanghavi

Complex systems are usually represented as an intricate set of relations between their components forming a complex graph or network. The understanding of their functioning and emergent properties are strongly related to their structural…

数据分析、统计与概率 · 物理学 2014-01-08 Sergio Gomez , Alberto Fernandez , Clara Granell , Alex Arenas

Item indexing, which maps a large corpus of items into compact discrete representations, is critical for both discriminative and generative recommender systems, yet existing Vector Quantization (VQ)-based approaches struggle with the highly…

信息检索 · 计算机科学 2026-01-29 Jing Yan , Yimeng Bai , Zongyu Liu , Yahui Liu , Junwei Wang , Jingze Huang , Haoda Li , Sihao Ding , Shaohui Ruan , Yang Zhang

Bipartite data is common in data engineering and brings unique challenges, particularly when it comes to clustering tasks that impose on strong structural assumptions. This work presents an unsupervised method for assessing similarity in…

机器学习 · 计算机科学 2017-02-17 Aaron Gerow , Mingyang Zhou , Stan Matwin , Feng Shi

Many clustering problems in computer vision and other contexts are also classification problems, where each cluster shares a meaningful label. Subspace clustering algorithms in particular are often applied to problems that fit this…

机器学习 · 计算机科学 2017-09-15 John Lipor , Laura Balzano

When scholars suspect units are dependent on each other within clusters but independent of each other across clusters, they employ cluster-robust standard errors (CRSEs). Nevertheless, what to cluster over is sometimes unknown. For…

统计方法学 · 统计学 2025-11-12 Kentaro Fukumoto

The development of algorithms for hierarchical clustering has been hampered by a shortage of precise objective functions. To help address this situation, we introduce a simple cost function on hierarchies over a set of points, given…

数据结构与算法 · 计算机科学 2015-10-20 Sanjoy Dasgupta

Getting a robust time-series clustering with best choice of distance measure and appropriate representation is always a challenge. We propose a novel mechanism to identify the clusters combining learned compact representation of…

机器学习 · 计算机科学 2021-01-12 Soma Bandyopadhyay , Anish Datta , Arpan Pal