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The Hierarchical Clustering (HC) problem consists of building a hierarchy of clusters to represent a given dataset. Motivated by the modern large-scale applications, we study the problem in the \streaming model, in which the memory is…

Data Structures and Algorithms · Computer Science 2022-06-16 Sepehr Assadi , Vaggos Chatziafratis , Jakub Łącki , Vahab Mirrokni , Chen Wang

Hierarchical clustering (HC) is an important data analysis technique in which the goal is to recursively partition a dataset into a tree-like structure while grouping together similar data points at each level of granularity. Unfortunately,…

Data Structures and Algorithms · Computer Science 2025-06-09 Vladimir Braverman , Jon C. Ergun , Chen Wang , Samson Zhou

This paper presents two efficient hierarchical clustering (HC) algorithms with respect to Dasgupta's cost function. For any input graph $G$ with a clear cluster-structure, our designed algorithms run in nearly-linear time in the input size…

Data Structures and Algorithms · Computer Science 2023-06-19 Steinar Laenen , Bogdan-Adrian Manghiuc , He Sun

Hierarchical Clustering (HC) is a widely studied problem in exploratory data analysis, usually tackled by simple agglomerative procedures like average-linkage, single-linkage or complete-linkage. In this paper we focus on two objectives,…

Data Structures and Algorithms · Computer Science 2018-08-08 Moses Charikar , Vaggos Chatziafratis , Rad Niazadeh

Hierarchical clustering is a popular unsupervised data analysis method. For many real-world applications, we would like to exploit prior information about the data that imposes constraints on the clustering hierarchy, and is not captured by…

Data Structures and Algorithms · Computer Science 2018-07-17 Vaggos Chatziafratis , Rad Niazadeh , Moses Charikar

One of the main challenges for hierarchical clustering is how to appropriately identify the representative points in the lower level of the cluster tree, which are going to be utilized as the roots in the higher level of the cluster tree…

Machine Learning · Statistics 2021-11-16 Wen-Bo Xie , Zhen Liu , Jaideep Srivastava

As the size $n$ of datasets become massive, many commonly-used clustering algorithms (for example, $k$-means or hierarchical agglomerative clustering (HAC) require prohibitive computational cost and memory. In this paper, we propose a…

Hierarchical clustering is a critical task in numerous domains. Many approaches are based on heuristics and the properties of the resulting clusterings are studied post hoc. However, in several applications, there is a natural cost function…

The problem of hierarchical clustering items from pairwise similarities is found across various scientific disciplines, from biology to networking. Often, applications of clustering techniques are limited by the cost of obtaining…

Machine Learning · Statistics 2012-07-20 Brian Eriksson

We study the widely used hierarchical agglomerative clustering (HAC) algorithm on edge-weighted graphs. We define an algorithmic framework for hierarchical agglomerative graph clustering that provides the first efficient $\tilde{O}(m)$ time…

Data Structures and Algorithms · Computer Science 2021-06-11 Laxman Dhulipala , David Eisenstat , Jakub Łącki , Vahab Mirrokni , Jessica Shi

We propose a new anytime hierarchical clustering method that iteratively transforms an arbitrary initial hierarchy on the configuration of measurements along a sequence of trees we prove for a fixed data set must terminate in a chain of…

Machine Learning · Statistics 2014-04-15 Omur Arslan , Daniel E. Koditschek

Average linkage Hierarchical Agglomerative Clustering (HAC) is an extensively studied and applied method for hierarchical clustering. Recent applications to massive datasets have driven significant interest in near-linear-time and efficient…

Data Structures and Algorithms · Computer Science 2025-02-06 MohammadHossein Bateni , Laxman Dhulipala , Kishen N Gowda , D Ellis Hershkowitz , Rajesh Jayaram , Jakub Łącki

Recent works on Hierarchical Clustering (HC), a well-studied problem in exploratory data analysis, have focused on optimizing various objective functions for this problem under arbitrary similarity measures. In this paper we take the first…

Data Structures and Algorithms · Computer Science 2018-12-31 Moses Charikar , Vaggos Chatziafratis , Rad Niazadeh , Grigory Yaroslavtsev

We develop a novel algorithm, Predictive Hierarchical Clustering (PHC), for agglomerative hierarchical clustering of current procedural terminology (CPT) codes. Our predictive hierarchical clustering aims to cluster subgroups, not…

Methodology · Statistics 2017-08-03 Elizabeth C. Lorenzi , Stephanie L. Brown , Zhifei Sun , Katherine Heller

Hierarchical clustering is a stronger extension of one of today's most influential unsupervised learning methods: clustering. The goal of this method is to create a hierarchy of clusters, thus constructing cluster evolutionary history and…

Data Structures and Algorithms · Computer Science 2021-01-14 MohammadTaghi Hajiaghayi , Marina Knittel

Minimum spanning trees (MSTs) provide a convenient representation of datasets in numerous pattern recognition activities. Moreover, they are relatively fast to compute. In this paper, we quantify the extent to which they are meaningful in…

Machine Learning · Statistics 2025-10-16 Marek Gagolewski , Anna Cena , Maciej Bartoszuk , Łukasz Brzozowski

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…

Data Structures and Algorithms · Computer Science 2022-03-16 Kaan Gokcesu , Hakan Gokcesu

We propose a novel approach to the problem of clustering hierarchically aggregated time-series data, which has remained an understudied problem though it has several commercial applications. We first group time series at each aggregated…

Machine Learning · Computer Science 2022-05-30 Xing Han , Tongzheng Ren , Jing Hu , Joydeep Ghosh , Nhat Ho

Hierarchical clustering is a recursive partitioning of a dataset into clusters at an increasingly finer granularity. Motivated by the fact that most work on hierarchical clustering was based on providing algorithms, rather than optimizing a…

Data Structures and Algorithms · Computer Science 2017-04-10 Vincent Cohen-Addad , Varun Kanade , Frederik Mallmann-Trenn , Claire Mathieu

Hierarchical clustering is a widely used method for unsupervised learning with numerous applications. However, in the application of modern algorithms, the datasets studied are usually large and dynamic. If the hierarchical clustering is…

Machine Learning · Computer Science 2025-07-15 Shijie Li , Weiqiang He , Ruobing Bai , Pan Peng
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