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Related papers: ExKMC: Expanding Explainable $k$-Means Clustering

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Clustering is a popular form of unsupervised learning for geometric data. Unfortunately, many clustering algorithms lead to cluster assignments that are hard to explain, partially because they depend on all the features of the data in a…

Machine Learning · Computer Science 2020-09-23 Sanjoy Dasgupta , Nave Frost , Michal Moshkovitz , Cyrus Rashtchian

$k$-means and $k$-median clustering are powerful unsupervised machine learning techniques. However, due to complicated dependences on all the features, it is challenging to interpret the resulting cluster assignments. Moshkovitz, Dasgupta,…

Data Structures and Algorithms · Computer Science 2021-12-17 Sayan Bandyapadhyay , Fedor V. Fomin , Petr A. Golovach , William Lochet , Nidhi Purohit , Kirill Simonov

We provide a new bi-criteria $\tilde{O}(\log^2 k)$ competitive algorithm for explainable $k$-means clustering. Explainable $k$-means was recently introduced by Dasgupta, Frost, Moshkovitz, and Rashtchian (ICML 2020). It is described by an…

Machine Learning · Computer Science 2022-04-28 Konstantin Makarychev , Liren Shan

Despite the growing popularity of explainable and interpretable machine learning, there is still surprisingly limited work on inherently interpretable clustering methods. Recently, there has been a surge of interest in explaining the…

Machine Learning · Computer Science 2024-11-26 Maximilian Fleissner , Leena Chennuru Vankadara , Debarghya Ghoshdastidar

A number of recent works have employed decision trees for the construction of explainable partitions that aim to minimize the $k$-means cost function. These works, however, largely ignore metrics related to the depths of the leaves in the…

Machine Learning · Computer Science 2022-08-29 Eduardo Laber , Lucas Murtinho , Felipe Oliveira

Over the last few years Explainable Clustering has gathered a lot of attention. Dasgupta et al. [ICML'20] initiated the study of explainable $k$-means and $k$-median clustering problems where the explanation is captured by a threshold…

Machine Learning · Computer Science 2026-03-03 Chengyuan Deng , Surya Teja Gavva , Karthik C. S. , Parth Patel , Adarsh Srinivasan

The price of explainability for a clustering task can be defined as the unavoidable loss,in terms of the objective function, if we force the final partition to be explainable. Here, we study this price for the following clustering problems:…

Machine Learning · Computer Science 2021-02-16 Eduardo Laber , Lucas Murtinho

Many clustering algorithms are guided by certain cost functions such as the widely-used $k$-means cost. These algorithms divide data points into clusters with often complicated boundaries, creating difficulties in explaining the clustering…

Machine Learning · Computer Science 2021-11-05 Moses Charikar , Lunjia Hu

Given a set of points in $d$-dimensional space, an explainable clustering is one where the clusters are specified by a tree of axis-aligned threshold cuts. Dasgupta et al. (ICML 2020) posed the question of the price of explainability: the…

Data Structures and Algorithms · Computer Science 2023-04-20 Anupam Gupta , Madhusudhan Reddy Pittu , Ola Svensson , Rachel Yuan

We study the problem of explainable clustering in the setting first formalized by Dasgupta, Frost, Moshkovitz, and Rashtchian (ICML 2020). A $k$-clustering is said to be explainable if it is given by a decision tree where each internal node…

Data Structures and Algorithms · Computer Science 2021-10-26 Buddhima Gamlath , Xinrui Jia , Adam Polak , Ola Svensson

We study the explainable clustering problem first posed by Moshkovitz, Dasgupta, Rashtchian, and Frost (ICML 2020). The goal of explainable clustering is to fit an axis-aligned decision tree with $K$ leaves and minimal clustering cost…

Machine Learning · Computer Science 2025-08-08 Maximilian Fleissner , Maedeh Zarvandi , Debarghya Ghoshdastidar

We study the computational complexity of some explainable clustering problems in the framework proposed by [Dasgupta et al., ICML 2020], where explainability is achieved via axis-aligned decision trees. We consider the $k$-means,…

Machine Learning · Computer Science 2022-08-23 Eduardo Sany Laber

$K$-means, a simple and effective clustering algorithm, is one of the most widely used algorithms in multimedia and computer vision community. Traditional $k$-means is an iterative algorithm---in each iteration new cluster centers are…

Computer Vision and Pattern Recognition · Computer Science 2013-12-12 Jingdong Wang , Jing Wang , Qifa Ke , Gang Zeng , Shipeng Li

The k-means clustering algorithm is a popular algorithm that partitions data into k clusters. There are many improvements to accelerate the standard algorithm. Most current research employs upper and lower bounds on point-to-cluster…

Machine Learning · Computer Science 2024-10-22 Andreas Lang , Erich Schubert

The domain of explainable AI is of interest in all Machine Learning fields, and it is all the more important in clustering, an unsupervised task whose result must be validated by a domain expert. We aim at finding a clustering that has high…

Artificial Intelligence · Computer Science 2024-03-28 Mathieu Guilbert , Christel Vrain , Thi-Bich-Hanh Dao

K-means (MacQueen, 1967) [1] is one of the simplest unsupervised learning algorithms that solve the well-known clustering problem. The procedure follows a simple and easy way to classify a given data set to a predefined, say K number of…

Machine Learning · Computer Science 2017-06-23 Srikanta Kolay , Kumar Sankar Ray , Abhoy Chand Mondal

We study the problem of explainability-first clustering where explainability becomes a first-class citizen for clustering. Previous clustering approaches use decision trees for explanation, but only after the clustering is completed. In…

Machine Learning · Computer Science 2022-12-13 Hyunseung Hwang , Steven Euijong Whang

Categorical sequence clustering plays a crucial role in various fields, but the lack of interpretability in cluster assignments poses significant challenges. Sequences inherently lack explicit features, and existing sequence clustering…

Machine Learning · Computer Science 2023-09-06 Junjie Dong , Xinyi Yang , Mudi Jiang , Lianyu Hu , Zengyou He

State-of-the-art clustering algorithms use heuristics to partition the feature space and provide little insight into the rationale for cluster membership, limiting their interpretability. In healthcare applications, the latter poses a…

Machine Learning · Statistics 2018-12-04 Dimitris Bertsimas , Agni Orfanoudaki , Holly Wiberg

We propose a new algorithm for k-means clustering in a distributed setting, where the data is distributed across many machines, and a coordinator communicates with these machines to calculate the output clustering. Our algorithm guarantees…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-14 Tom Hess , Ron Visbord , Sivan Sabato
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