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Clustering is a key task in machine learning, with $k$-means being widely used for its simplicity and effectiveness. While 1D clustering is common, existing methods often fail to exploit the structure of 1D data, leading to inefficiencies.…

Data Structures and Algorithms · Computer Science 2024-12-25 Jake Hyun

Clustering algorithms have long been the topic of research, representing the more popular side of unsupervised learning. Since clustering analysis is one of the best ways to find some clarity and structure within raw data, this paper…

Machine Learning · Computer Science 2025-11-25 Naitik Gada

Machine learning (ML) is playing an increasing role in decision-making tasks that directly affect individuals, e.g., loan approvals, or job applicant screening. Significant concerns arise that, without special provisions, individuals from…

Machine Learning · Computer Science 2023-02-07 Sina Shaham , Gabriel Ghinita , Cyrus Shahabi

Cluster analysis is one of the primary data analysis technique in data mining and K-means is one of the commonly used partitioning clustering algorithm. In K-means algorithm, resulting set of clusters depend on the choice of initial…

Machine Learning · Computer Science 2015-09-11 Abhishek Kumar , Suresh Chandra Gupta

In a real-world data set there is always the possibility, rather high in our opinion, that different features may have different degrees of relevance. Most machine learning algorithms deal with this fact by either selecting or deselecting…

Machine Learning · Computer Science 2016-01-15 Renato Cordeiro de Amorim

Algorithms for clustering points in metric spaces is a long-studied area of research. Clustering has seen a multitude of work both theoretically, in understanding the approximation guarantees possible for many objective functions such as…

Data Structures and Algorithms · Computer Science 2019-05-27 Maria-Florina Balcan , Travis Dick , Colin White

When using machine learning to aid decision-making, it is critical to ensure that an algorithmic decision is fair and does not discriminate against specific individuals/groups, particularly those from underprivileged populations. Existing…

Machine Learning · Computer Science 2024-11-20 Yifei Wang , Zhengyang Zhou , Liqin Wang , John Laurentiev , Peter Hou , Li Zhou , Pengyu Hong

We study streaming algorithms for proportionally fair clustering, a notion originally suggested by Chierichetti et. al. (2017), in the sliding window model. We show that although there exist efficient streaming algorithms in the…

Data Structures and Algorithms · Computer Science 2025-03-10 Vincent Cohen-Addad , Shaofeng H. -C. Jiang , Qiaoyuan Yang , Yubo Zhang , Samson Zhou

Center-based clustering techniques are fundamental in some areas of machine learning such as data summarization. Generic $k$-center algorithms can produce biased cluster representatives so there has been a recent interest in fair $k$-center…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-21 Jinxiang Gan , Mordecai Golin , Zonghan Yang , Yuhao Zhang

The fairness of clustering algorithms has gained widespread attention across various areas, including machine learning, In this paper, we study fair $k$-means clustering in Euclidean space. Given a dataset comprising several groups, the…

Machine Learning · Computer Science 2024-12-10 Shihong Song , Guanlin Mo , Qingyuan Yang , Hu Ding

Clustering is a widely-used data mining tool, which aims to discover partitions of similar items in data. We introduce a new clustering paradigm, \emph{accordant clustering}, which enables the discovery of (predefined) group level insights.…

Machine Learning · Computer Science 2017-04-11 Amit Dhurandhar , Margareta Ackerman , Xiang Wang

Effective machine learning models can automatically learn useful information from a large quantity of data and provide decisions in a high accuracy. These models may, however, lead to unfair predictions in certain sense among the population…

Machine Learning · Computer Science 2020-06-19 Mingliang Chen , Min Wu

Recently, there has been substantial interest in clustering research that takes a beyond worst-case approach to the analysis of algorithms. The typical idea is to design a clustering algorithm that outputs a near-optimal solution, provided…

Data Structures and Algorithms · Computer Science 2018-12-31 Maria-Florina Balcan , Colin White

Within the relatively busy area of fair machine learning that has been dominated by classification fairness research, fairness in clustering has started to see some recent attention. In this position paper, we assess the existing work in…

Computers and Society · Computer Science 2020-07-16 Deepak P

We consider the classical $k$-means clustering problem in the setting bi-criteria approximation, in which an algoithm is allowed to output $\beta k > k$ clusters, and must produce a clustering with cost at most $\alpha$ times the to the…

Data Structures and Algorithms · Computer Science 2015-08-04 Konstantin Makarychev , Yury Makarychev , Maxim Sviridenko , Justin Ward

Cluster analysis requires many decisions: the clustering method and the implied reference model, the number of clusters and, often, several hyper-parameters and algorithms' tunings. In practice, one produces several partitions, and a final…

Machine Learning · Statistics 2023-08-14 Luca Coraggio , Pietro Coretto

Scoring systems, as a type of predictive model, have significant advantages in interpretability and transparency and facilitate quick decision-making. As such, scoring systems have been extensively used in a wide variety of industries such…

Machine Learning · Computer Science 2022-11-23 Yi Yang , Ying Wu , Mei Li , Xiangyu Chang , Yong Tan

Federated learning is a prominent distributed learning paradigm that incorporates collaboration among diverse clients, promotes data locality, and thus ensures privacy. These clients have their own technological, cultural, and other biases…

Machine Learning · Computer Science 2024-11-04 Antesh Upadhyay , Abolfazl Hashemi

In this paper, we present a local search-based algorithm for individually fair clustering in the presence of outliers. We consider the individual fairness definition proposed in Jung et al., which requires that each of the $n$ points in the…

Data Structures and Algorithms · Computer Science 2025-10-08 Binita Maity , Shrutimoy Das , Anirban Dasgupta

Among all the partition based clustering algorithms K-means is the most popular and well known method. It generally shows impressive results even in considerably large data sets. The computational complexity of K-means does not suffer from…

Machine Learning · Computer Science 2009-12-22 Samarjeet Borah , Mrinal Kanti Ghose