English
Related papers

Related papers: Learning-Augmented Hierarchical Clustering

200 papers

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…

Data Structures and Algorithms · Computer Science 2022-06-16 Arpit Agarwal , Sanjeev Khanna , Huan Li , Prathamesh Patil

This paper explores hierarchical clustering in the case where pairs of points have dissimilarity scores (e.g. distances) as a part of the input. The recently introduced objective for points with dissimilarity scores results in every tree…

Machine Learning · Computer Science 2020-09-01 Benjamin Moseley , Yuyan Wang

The minimum height of vertex and edge partition trees are well-studied graph parameters known as, for instance, vertex and edge ranking number. While they are NP-hard to determine in general, linear-time algorithms exist for trees.…

Data Structures and Algorithms · Computer Science 2021-05-26 Svein Høgemo , Benjamin Bergougnoux , Ulrik Brandes , Christophe Paul , Jan Arne Telle

We initiate a comprehensive experimental study of objective-based hierarchical clustering methods on massive datasets consisting of deep embedding vectors from computer vision and NLP applications. This includes a large variety of image…

Machine Learning · Computer Science 2022-06-10 Stanislav Naumov , Grigory Yaroslavtsev , Dmitrii Avdiukhin

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…

Dasgupta recently introduced a cost function for the hierarchical clustering of a set of points given pairwise similarities between them. He showed that this function is NP-hard to optimize, but a top-down recursive partitioning heuristic…

Data Structures and Algorithms · Computer Science 2016-10-03 Moses Charikar , Vaggos Chatziafratis

In this paper, we introduce a local search algorithm for hierarchical clustering. For the local step, we consider a tree re-arrangement operation, known as the {\em interchange}, which involves swapping two closely positioned sub-trees…

Data Structures and Algorithms · Computer Science 2024-05-28 Hossein Jowhari

Hierarchical clustering is one of the most powerful solutions to the problem of clustering, on the grounds that it performs a multi scale organization of the data. In recent years, research on hierarchical clustering methods has attracted…

Machine Learning · Computer Science 2019-08-02 Antonia Korba

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

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

Motivated by extracting and summarizing relevant information in short sentence settings, such as satisfaction questionnaires, hotel reviews, and X/Twitter, we study the problem of clustering words in a hierarchical fashion. In particular,…

Machine Learning · Computer Science 2023-12-08 Eliabelle Mauduit , Andrea Simonetto

Hierarchical clustering seeks to uncover nested structures in data by constructing a tree of clusters, where deeper levels reveal finer-grained relationships. Traditional methods, including linkage approaches, face three major limitations:…

Machine Learning · Computer Science 2025-11-25 Maximilien Dreveton , Matthias Grossglauser , Daichi Kuroda , Patrick Thiran

In this work, we introduce a novel methodology for divisive hierarchical clustering. Our divisive (``top-down'') approach is motivated by the fact that agglomerative hierarchical clustering (``bottom-up''), which is commonly used for…

Methodology · Statistics 2025-10-07 Jan O. Bauer

Hierarchical clustering is a powerful tool for exploratory data analysis, organizing data into a tree of clusterings from which a partition can be chosen. This paper generalizes these ideas by proving that, for any reasonable hierarchy, one…

Machine Learning · Computer Science 2025-11-13 Andrew Draganov , Pascal Weber , Rasmus Skibdahl Melanchton Jørgensen , Anna Beer , Claudia Plant , Ira Assent

A combinatorial cost function for hierarchical clustering was introduced by Dasgupta \cite{dasgupta2016cost}. It has been generalized by Cohen-Addad et al. \cite{cohen2019hierarchical} to a general form named admissible function. In this…

Machine Learning · Computer Science 2021-08-16 Yicheng Pan , Feng Zheng , Bingchen Fan

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

Clustering can be used to extract insights from data or to verify some of the assumptions held by the domain experts, namely data segmentation. In the literature, few methods can be applied in clustering qualitative values using the context…

Machine Learning · Computer Science 2020-07-07 Diogo Seca , João Mendes-Moreira , Tiago Mendes-Neves , Ricardo Sousa

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

In many applications of clustering (for example, ontologies or clusterings of animal or plant species), hierarchical clusterings are more descriptive than a flat clustering. A hierarchical clustering over $n$ elements is represented by a…

Data Structures and Algorithms · Computer Science 2018-04-18 Ehsan Emamjomeh-Zadeh , David Kempe

We investigate active learning by pairwise similarity over the leaves of trees originating from hierarchical clustering procedures. In the realizable setting, we provide a full characterization of the number of queries needed to achieve…

Machine Learning · Computer Science 2019-10-15 Fabio Vitale , Anand Rajagopalan , Claudio Gentile