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Related papers: Exploring Rawlsian Fairness for K-Means Clustering

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Sparse clustering, which aims to find a proper partition of an extremely high-dimensional data set with redundant noise features, has been attracted more and more interests in recent years. The existing studies commonly solve the problem in…

Machine Learning · Statistics 2019-02-25 Xiangyu Chang , Yu Wang , Rongjian Li , Zongben Xu

The study of algorithmic fairness received growing attention recently. This stems from the awareness that bias in the input data for machine learning systems may result in discriminatory outputs. For clustering tasks, one of the most…

Machine Learning · Computer Science 2023-02-23 Katrin Casel , Tobias Friedrich , Martin Schirneck , Simon Wietheger

Hierarchical Agglomerative Clustering (HAC) algorithms are extensively utilized in modern data science, and seek to partition the dataset into clusters while generating a hierarchical relationship between the data samples. HAC algorithms…

Machine Learning · Computer Science 2023-08-01 Anshuman Chhabra , Prasant Mohapatra

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

Conventional machine learning algorithms cannot be applied until a data matrix is available to process. When the data matrix needs to be obtained from a relational database via a feature extraction query, the computation cost can be…

Machine Learning · Computer Science 2019-10-14 Ryan Curtin , Ben Moseley , Hung Q. Ngo , XuanLong Nguyen , Dan Olteanu , Maximilian Schleich

Clustering is one of the most important tools for analysis of large datasets, and perhaps the most popular clustering algorithm is Lloyd's algorithm for $k$-means. This algorithm takes $n$ vectors $V=[v_1,\dots,v_n]\in\mathbb{R}^{d\times…

Quantum Physics · Physics 2025-07-18 Arjan Cornelissen , Joao F. Doriguello , Alessandro Luongo , Ewin Tang

Clustering is an unsupervised machine learning task that consists of identifying groups of similar objects. It has numerous applications and is increasingly used in fairness-sensitive domains where objects represent individuals, such as…

Machine Learning · Computer Science 2026-05-14 Claudio Mantuano , Manuel Kammermann , Philipp Baumann

In many situations where the interest lies in identifying clusters one might expect that not all available variables carry information about these groups. Furthermore, data quality (e.g. outliers or missing entries) might present a serious…

Machine Learning · Statistics 2012-01-31 Yumi Kondo , Matias Salibian-Barrera , Ruben Zamar

Bayesian models offer great flexibility for clustering applications---Bayesian nonparametrics can be used for modeling infinite mixtures, and hierarchical Bayesian models can be utilized for sharing clusters across multiple data sets. For…

Machine Learning · Computer Science 2012-06-15 Brian Kulis , Michael I. Jordan

$k$-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

Most approaches in algorithmic fairness constrain machine learning methods so the resulting predictions satisfy one of several intuitive notions of fairness. While this may help private companies comply with non-discrimination laws or avoid…

Machine Learning · Statistics 2018-06-08 Matt J. Kusner , Chris Russell , Joshua R. Loftus , Ricardo Silva

The importance of achieving fairness in machine learning models cannot be overstated. Recent research has pointed out that fairness should be examined from a causal perspective, and several fairness notions based on the on Pearl's causal…

Machine Learning · Computer Science 2023-11-20 Xuan Zhao , Klaus Broelemann , Salvatore Ruggieri , Gjergji Kasneci

K-Means clustering algorithm is one of the most commonly used clustering algorithms because of its simplicity and efficiency. K-Means clustering algorithm based on Euclidean distance only pays attention to the linear distance between…

Machine Learning · Computer Science 2022-06-13 Yiqun Zhang , Houbiao Li

The classical $k$-means algorithm for partitioning $n$ points in $\mathbb{R}^d$ into $k$ clusters is one of the most popular and widely spread clustering methods. The need to respect prescribed lower bounds on the cluster sizes has been…

Optimization and Control · Mathematics 2016-08-04 Steffen Borgwardt , Andreas Brieden , Peter Gritzmann

Understanding treatment effect heterogeneity is vital for scientific and policy research. However, identifying and evaluating heterogeneous treatment effects pose significant challenges due to the typically unknown subgroup structure.…

Methodology · Statistics 2024-11-05 Kwangho Kim , Jisu Kim , Larry A. Wasserman , Edward H. Kennedy

Correlation clustering is a ubiquitous paradigm in unsupervised machine learning where addressing unfairness is a major challenge. Motivated by this, we study Fair Correlation Clustering where the data points may belong to different…

Machine Learning · Computer Science 2022-06-13 Sara Ahmadian , Maryam Negahbani

Algorithmic fairness is typically studied from the perspective of predictions. Instead, here we investigate fairness from the perspective of recourse actions suggested to individuals to remedy an unfavourable classification. We propose two…

Machine Learning · Computer Science 2022-03-08 Julius von Kügelgen , Amir-Hossein Karimi , Umang Bhatt , Isabel Valera , Adrian Weller , Bernhard Schölkopf

In this work, we consider multitask learning problems where clusters of nodes are interested in estimating their own parameter vector. Cooperation among clusters is beneficial when the optimal models of adjacent clusters have a good number…

Systems and Control · Computer Science 2016-11-03 Roula Nassif , Cédric Richard , André Ferrari , Ali H. Sayed

Promoting fairness for deep clustering models in unsupervised clustering settings to reduce demographic bias is a challenging goal. This is because of the limitation of large-scale balanced data with well-annotated labels for sensitive or…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Xuan-Bac Nguyen , Chi Nhan Duong , Marios Savvides , Kaushik Roy , Hugh Churchill , Khoa Luu

Convex clustering, a convex relaxation of k-means clustering and hierarchical clustering, has drawn recent attentions since it nicely addresses the instability issue of traditional nonconvex clustering methods. Although its computational…

Methodology · Statistics 2019-01-01 Binhuan Wang , Yilong Zhang , Will Wei Sun , Yixin Fang
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