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We propose some axioms for hierarchical clustering of probability measures and investigate their ramifications. The basic idea is to let the user stipulate the clusters for some elementary measures. This is done without the need of any…

Machine Learning · Statistics 2016-05-24 Philipp Thomann , Ingo Steinwart , Nico Schmid

We propose a general approach for distance based clustering, using the gradient of the cost function that measures clustering quality with respect to cluster assignments and cluster center positions. The approach is an iterative two step…

Machine Learning · Computer Science 2022-06-22 Aleksandar Armacki , Dragana Bajovic , Dusan Jakovetic , Soummya Kar

We study the periodic assignment problem, in which a set of periodically repeating tasks must be assigned to workers within a repeating schedule. The classical efficiency objective is to minimize the number of workers required to operate…

Data Structures and Algorithms · Computer Science 2025-07-08 Rolf van Lieshout , Bart van Rossum

Hierarchical clustering over graphs is a fundamental task in data mining and machine learning with applications in domains such as phylogenetics, social network analysis, and information retrieval. Specifically, we consider the recently…

Data Structures and Algorithms · Computer Science 2022-06-16 Arpit Agarwal , Sanjeev Khanna , Huan Li , Prathamesh Patil

We address the classical problem of hierarchical clustering, but in a framework where one does not have access to a representation of the objects or their pairwise similarities. Instead, we assume that only a set of comparisons between…

Machine Learning · Statistics 2019-06-13 Debarghya Ghoshdastidar , Michaël Perrot , Ulrike von Luxburg

Machine learning has seen an increase in negative publicity in recent years, due to biased, unfair, and uninterpretable models. There is a rising interest in making machine learning models more fair for unprivileged communities, such as…

Machine Learning · Computer Science 2022-11-22 Yochem van Rosmalen , Florian van der Steen , Sebastiaan Jans , Daan van der Weijden

Class imbalance and group (e.g., race, gender, and age) imbalance are acknowledged as two reasons in data that hinder the trade-off between fairness and utility of machine learning classifiers. Existing techniques have jointly addressed…

Machine Learning · Computer Science 2023-05-24 Ryosuke Sonoda

Clustering is a fundamental problem in many areas, which aims to partition a given data set into groups based on some distance measure, such that the data points in the same group are similar while that in different groups are dissimilar.…

Neural and Evolutionary Computing · Computer Science 2023-07-25 Chao Qian

We study the problem of auditing the fairness of a given classifier under partial feedback, where true labels are available only for positively classified individuals, (e.g., loan repayment outcomes are observed only for approved…

Machine Learning · Computer Science 2026-02-24 Nirjhar Das , Mohit Sharma , Praharsh Nanavati , Kirankumar Shiragur , Amit Deshpande

We study the computational problem of computing a fair means clustering of discrete vectors, which admits an equivalent formulation as editing a colored matrix into one with few distinct color-balanced rows by changing at most $k$ values.…

Data Structures and Algorithms · Computer Science 2025-12-04 Robert Ganian , Hung P. Hoang , Simon Wietheger

There is no, nor will there ever be, single best clustering algorithm. Nevertheless, we would still like to be able to distinguish between methods that work well on certain task types and those that systematically underperform. Clustering…

Machine Learning · Computer Science 2025-10-16 Marek Gagolewski

In recent years, crowdsourcing, aka human aided computation has emerged as an effective platform for solving problems that are considered complex for machines alone. Using human is time-consuming and costly due to monetary compensations.…

Data Structures and Algorithms · Computer Science 2016-04-08 Arya Mazumdar , Barna Saha

We present a new clustering method in the form of a single clustering equation that is able to directly discover groupings in the data. The main proposition is that the first neighbor of each sample is all one needs to discover large chains…

Computer Vision and Pattern Recognition · Computer Science 2019-03-01 M. Saquib Sarfraz , Vivek Sharma , Rainer Stiefelhagen

One of the main challenges for hierarchical clustering is how to appropriately identify the representative points in the lower level of the cluster tree, which are going to be utilized as the roots in the higher level of the cluster tree…

Machine Learning · Statistics 2021-11-16 Wen-Bo Xie , Zhen Liu , Jaideep Srivastava

Modeling and shaping how information spreads through a network is a major research topic in network analysis. While initially the focus has been mostly on efficiency, recently fairness criteria have been taken into account in this setting.…

Social and Information Networks · Computer Science 2023-02-28 Ruben Becker , Gianlorenzo D'Angelo , Sajjad Ghobadi

Existing work on fairness typically focuses on making known machine learning algorithms fairer. Fair variants of classification, clustering, outlier detection and other styles of algorithms exist. However, an understudied area is the topic…

Artificial Intelligence · Computer Science 2022-09-27 Ian Davidson , S. S. Ravi

This paper explores hierarchical clustering in the case where pairs of points have dissimilarity scores (e.g. distances) as a part of the input. The recently introduced objective for points with dissimilarity scores results in every tree…

Machine Learning · Computer Science 2020-09-01 Benjamin Moseley , Yuyan Wang

Individual fairness guarantees are often desirable properties to have, but they become hard to formalize when the dataset contains outliers. Here, we investigate the problem of developing an individually fair $k$-means clustering algorithm…

Machine Learning · Computer Science 2024-12-17 Binita Maity , Shrutimoy Das , Anirban Dasgupta

Clustering is the technique to partition data according to their characteristics. Data that are similar in nature belong to the same cluster [1]. There are two types of evaluation methods to evaluate clustering quality. One is an external…

Machine Learning · Computer Science 2024-09-05 Anupriya Vysala , Joseph Gomes

Recently, due to an increasing interest for transparency in artificial intelligence, several methods of explainable machine learning have been developed with the simultaneous goal of accuracy and interpretability by humans. In this paper,…

Machine Learning · Computer Science 2021-07-16 Hossein Esfandiari , Vahab Mirrokni , Shyam Narayanan