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Related papers: Causal K-Means Clustering

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Causal inference analyses often use existing observational data, which in many cases has some clustering of individuals. In this paper we discuss propensity score weighting methods in a multilevel setting where within clusters individuals…

Applications · Statistics 2020-12-24 Youjin Lee , Trang Q. Nguyen , Elizabeth A. Stuart

Counterfactuals have been recognized as an effective approach to explain classifier decisions. Nevertheless, they have not yet been considered in the context of clustering. In this work, we propose the use of counterfactuals to explain…

Machine Learning · Computer Science 2025-01-20 Georgios Vardakas , Antonia Karra , Evaggelia Pitoura , Aristidis Likas

We address general-shaped clustering problems under very weak parametric assumptions with a two-step hybrid robust clustering algorithm based on trimmed k-means and hierarchical agglomeration. The algorithm has low computational complexity…

Methodology · Statistics 2022-01-19 Luca Insolia , Domenico Perrotta

Traditional statistical inference in cluster randomized trials typically invokes the asymptotic theory that requires the number of clusters to approach infinity. In this article, we propose an alternative conformal causal inference…

Methodology · Statistics 2024-10-03 Bingkai Wang , Fan Li , Mengxin Yu

The analysis of continously larger datasets is a task of major importance in a wide variety of scientific fields. In this sense, cluster analysis algorithms are a key element of exploratory data analysis, due to their easiness in the…

Machine Learning · Statistics 2018-01-10 Marco Capó , Aritz Pérez , Jose A. Lozano

Clustering algorithms may unintentionally propagate or intensify existing disparities, leading to unfair representations or biased decision-making. Current fair clustering methods rely on notions of fairness that do not capture any…

Machine Learning · Statistics 2023-12-15 Fritz Bayer , Drago Plecko , Niko Beerenwinkel , Jack Kuipers

In this paper, we investigate the learning-augmented $k$-median clustering problem, which aims to improve the performance of traditional clustering algorithms by preprocessing the point set with a predictor of error rate $\alpha \in [0,1)$.…

Data Structures and Algorithms · Computer Science 2026-03-12 Kangke Cheng , Shihong Song , Guanlin Mo , Hu Ding

We propose a new model-independent method for new physics searches called Cluster Scanning. It uses the k-means algorithm to perform clustering in the space of low-level event or jet observables, and separates potentially anomalous clusters…

High Energy Physics - Phenomenology · Physics 2024-05-22 Ivan Oleksiyuk , John Andrew Raine , Michael Krämer , Svyatoslav Voloshynovskiy , Tobias Golling

The minimum sum-of-squares clustering (MSSC), or k-means type clustering, is traditionally considered an unsupervised learning task. In recent years, the use of background knowledge to improve the cluster quality and promote…

Optimization and Control · Mathematics 2022-07-26 Veronica Piccialli , Anna Russo Russo , Antonio M. Sudoso

K-means plays a vital role in data mining and is the simplest and most widely used algorithm under the Euclidean Minimum Sum-of-Squares Clustering (MSSC) model. However, its performance drastically drops when applied to vast amounts of…

Machine Learning · Computer Science 2023-11-27 Rustam Mussabayev , Nenad Mladenovic , Bassem Jarboui , Ravil Mussabayev

The k-means algorithm is a partitional clustering method. Over 60 years old, it has been successfully used for a variety of problems. The popularity of k-means is in large part a consequence of its simplicity and efficiency. In this paper…

Computer Vision and Pattern Recognition · Computer Science 2013-06-11 Ognjen Arandjelovic

$k$-means clustering is a well-studied problem due to its wide applicability. Unfortunately, there exist strong theoretical limits on the performance of any algorithm for the $k$-means problem on worst-case inputs. To overcome this barrier,…

Machine Learning · Computer Science 2022-03-22 Jon C. Ergun , Zhili Feng , Sandeep Silwal , David P. Woodruff , Samson Zhou

Among ensemble clustering methods, Evidence Accumulation Clustering is one of the simplest technics. In this approach, a co-association (CA) matrix representing the co-clustering frequency is built and then clustered to extract consensus…

Machine Learning · Computer Science 2023-11-17 Gaëlle Candel

This paper presents a novel method for clustering surfaces. The proposal involves first using basis functions in a tensor product to smooth the data and thus reduce the dimension to a finite number of coefficients, and then using these…

Methodology · Statistics 2021-02-04 Adriano Zanin Zambom , Qing Wang , Ronaldo Dias

Clustering data is a popular feature in the field of unsupervised machine learning. Most algorithms aim to find the best method to extract consistent clusters of data, but very few of them intend to cluster data that share the same…

Machine Learning · Computer Science 2022-06-22 Jean-Sébastien Dessureault , Daniel Massicotte

The $k$-means algorithm is a prevalent clustering method due to its simplicity, effectiveness, and speed. However, its main disadvantage is its high sensitivity to the initial positions of the cluster centers. The global $k$-means is a…

Machine Learning · Computer Science 2023-07-17 Georgios Vardakas , Aristidis Likas

In the analysis of cluster data, the regression coefficients are frequently assumed to be the same across all clusters. This hampers the ability to study the varying impacts of factors on each cluster. In this paper, a semiparametric model…

Statistics Theory · Mathematics 2009-08-25 Wenyang Zhang , Jianqing Fan , Yan Sun

There has been much interest recently in developing fair clustering algorithms that seek to do justice to the representation of groups defined along sensitive attributes such as race and gender. We observe that clustering algorithms could…

Machine Learning · Computer Science 2023-01-02 Stanley Simoes , Deepak P , Muiris MacCarthaigh

We address the problem of simultaneously learning a k-means clustering and deep feature representation from unlabelled data, which is of interest due to the potential of deep k-means to outperform traditional two-step feature extraction and…

Machine Learning · Computer Science 2019-10-18 Boyan Gao , Yongxin Yang , Henry Gouk , Timothy M. Hospedales

Big Data is a massive volume of both structured and unstructured data that is too large and it also difficult to process using traditional techniques. Clustering algorithms have developed as a powerful learning tool that can exactly analyze…

Machine Learning · Computer Science 2020-02-24 Y. A. Joarder , Mosabbir Ahmed