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We consider the problem of deep fair clustering, which partitions data into clusters via the representations extracted by deep neural networks while hiding sensitive data attributes. To achieve fairness, existing methods present a variety…

Machine Learning · Computer Science 2024-03-26 Xiang Zhang

Classical clustering problems such as \emph{Facility Location} and \emph{$k$-Median} aim to efficiently serve a set of clients from a subset of facilities -- minimizing the total cost of facility openings and client assignments in Facility…

Data Structures and Algorithms · Computer Science 2025-08-05 Rajni Dabas , Samir Khuller , Emilie Rivkin

We study the generalization of Correlation Clustering which incorporates fairness constraints via the notion of fairlets. The corresponding Fair Correlation Clustering problem has been studied from several perspectives to date, but has so…

Data Structures and Algorithms · Computer Science 2026-02-18 Johannes Blaha , Robert Ganian , Katharina Gillig , Jonathan S. Højlev , Simon Wietheger

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

Hierarchical Clustering trees have been widely accepted as a useful form of clustering data, resulting in a prevalence of adopting fields including phylogenetics, image analysis, bioinformatics and more. Recently, Dasgupta (STOC 16')…

Data Structures and Algorithms · Computer Science 2020-06-04 Noga Alon , Yossi Azar , Danny Vainstein

We present a scalable algorithm for the individually fair ($p$, $k$)-clustering problem introduced by Jung et al. and Mahabadi et al. Given $n$ points $P$ in a metric space, let $\delta(x)$ for $x\in P$ be the radius of the smallest ball…

Data Structures and Algorithms · Computer Science 2024-02-14 MohammadHossein Bateni , Vincent Cohen-Addad , Alessandro Epasto , Silvio Lattanzi

The hierarchical structure inherent in many real-world datasets makes the modeling of such hierarchies a crucial objective in both unsupervised and supervised machine learning. While recent advancements have introduced deep architectures…

Machine Learning · Computer Science 2025-12-19 Emanuele Palumbo , Moritz Vandenhirtz , Alain Ryser , Imant Daunhawer , Julia E. Vogt

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

Hierarchical clustering is a widely used approach for clustering datasets at multiple levels of granularity. Despite its popularity, existing algorithms such as hierarchical agglomerative clustering (HAC) are limited to the offline setting,…

Machine Learning · Computer Science 2019-09-24 Aditya Krishna Menon , Anand Rajagopalan , Baris Sumengen , Gui Citovsky , Qin Cao , Sanjiv Kumar

The clustering of a data set is one of the core tasks in data analytics. Many clustering algorithms exhibit a strong contrast between a favorable performance in practice and bad theoretical worst-cases. Prime examples are least-squares…

Optimization and Control · Mathematics 2018-09-05 S. Borgwardt , F. Happach

In the context of algorithmic decision-making, fair machine learning methods often yield multiple models that balance predictive fairness and performance in varying degrees. This diversity introduces a challenge for stakeholders who must…

Machine Learning · Computer Science 2025-10-28 Sofoklis Kitharidis , Cor J. Veenman , Thomas Bäck , Niki van Stein

Testing machine learning software for ethical bias has become a pressing current concern. In response, recent research has proposed a plethora of new fairness metrics, for example, the dozens of fairness metrics in the IBM AIF360 toolkit.…

Machine Learning · Computer Science 2022-03-22 Suvodeep Majumder , Joymallya Chakraborty , Gina R. Bai , Kathryn T. Stolee , Tim Menzies

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

We present an approach to model-based hierarchical clustering by formulating an objective function based on a Bayesian analysis. This model organizes the data into a cluster hierarchy while specifying a complex feature-set partitioning that…

Machine Learning · Computer Science 2013-01-18 Shivakumar Vaithyanathan , Byron E Dom

Hierarchical clustering based on pairwise similarities is a common tool used in a broad range of scientific applications. However, in many problems it may be expensive to obtain or compute similarities between the items to be clustered.…

Information Theory · Computer Science 2015-03-19 Brian Eriksson , Gautam Dasarathy , Aarti Singh , Robert Nowak

We introduce a novel end-to-end approach for learning to cluster in the absence of labeled examples. Our clustering objective is based on optimizing normalized cuts, a criterion which measures both intra-cluster similarity as well as…

Machine Learning · Computer Science 2019-10-18 Azade Nazi , Will Hang , Anna Goldie , Sujith Ravi , Azalia Mirhoseini

Machine learning actively impacts our everyday life in almost all endeavors and domains such as healthcare, finance, and energy. As our dependence on the machine learning increases, it is inevitable that these algorithms will be used to…

Machine Learning · Computer Science 2021-02-23 Ankit Kulshrestha , Ilya Safro

Training classifiers under fairness constraints such as group fairness, regularizes the disparities of predictions between the groups. Nevertheless, even though the constraints are satisfied during training, they might not generalize at…

Machine Learning · Computer Science 2021-03-12 Ching-Yao Chuang , Youssef Mroueh

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

Clustering is an important part of many modern data analysis pipelines, including network analysis and data retrieval. There are many different clustering algorithms developed by various communities, and it is often not clear which…

Machine Learning · Computer Science 2019-10-04 Maria-Florina Balcan , Travis Dick , Manuel Lang