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Ranking algorithms find extensive usage in diverse areas such as web search, employment, college admission, voting, etc. The related rank aggregation problem deals with combining multiple rankings into a single aggregate ranking. However,…

Data Structures and Algorithms · Computer Science 2023-08-22 Diptarka Chakraborty , Syamantak Das , Arindam Khan , Aditya Subramanian

Typically clustering algorithms provide clustering solutions with prespecified number of clusters. The lack of a priori knowledge on the true number of underlying clusters in the dataset makes it important to have a metric to compare the…

Machine Learning · Computer Science 2018-11-20 Amber Srivastava , Mayank Baranwal , Srinivasa Salapaka

This paper proposes a centroid-based clustering algorithm which is capable of clustering data-points with n-features, without having to specify the number of clusters to be formed. The core logic behind the algorithm is a similarity…

Machine Learning · Computer Science 2020-10-08 Rabindra Lamsal , Shubham Katiyar

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

We study fair clustering problems in a setting where distance information is obtained from two sources: a strong oracle providing exact distances, but at a high cost, and a weak oracle providing potentially inaccurate distance estimates at…

Data Structures and Algorithms · Computer Science 2025-12-22 Vladimir Braverman , Prathamesh Dharangutte , Shaofeng H. -C. Jiang , Hoai-An Nguyen , Chen Wang , Yubo Zhang , Samson Zhou

We study the fair variant of the classic $k$-median problem introduced by Chierichetti et al. [2017]. In the standard $k$-median problem, given an input pointset $P$, the goal is to find $k$ centers $C$ and assign each input point to one of…

Data Structures and Algorithms · Computer Science 2019-06-12 Arturs Backurs , Piotr Indyk , Krzysztof Onak , Baruch Schieber , Ali Vakilian , Tal Wagner

The determination of cluster centers generally depends on the scale that we use to analyze the data to be clustered. Inappropriate scale usually leads to unreasonable cluster centers and thus unreasonable results. In this study, we first…

Machine Learning · Statistics 2016-10-20 Xiurui Geng , Hairong Tang

Metric clustering is fundamental in areas ranging from Combinatorial Optimization and Data Mining, to Machine Learning and Operations Research. However, in a variety of situations we may have additional requirements or knowledge, distinct…

Machine Learning · Computer Science 2021-03-04 Brian Brubach , Darshan Chakrabarti , John P. Dickerson , Aravind Srinivasan , Leonidas Tsepenekas

In this paper, we provide a moral analysis of two criteria of statistical fairness debated in the machine learning literature: 1) calibration between groups and 2) equality of false positive and false negative rates between groups. In our…

Machine Learning · Computer Science 2022-06-22 Michele Loi , Christoph Heitz

We review clustering as an analysis tool and the underlying concepts from an introductory perspective. What is clustering and how can clusterings be realised programmatically? How can data be represented and prepared for a clustering task?…

Machine Learning · Computer Science 2022-12-05 Jan-Oliver Felix Kapp-Joswig , Bettina G. Keller

In supervised deep learning, learning good representations for remote--sensing images (RSI) relies on manual annotations. However, in the area of remote sensing, it is hard to obtain huge amounts of labeled data. Recently, self--supervised…

Machine Learning · Computer Science 2022-09-27 Qinglin Li , Bin Li , Jonathan M Garibaldi , Guoping Qiu

While the field of algorithmic fairness has brought forth many ways to measure and improve the fairness of machine learning models, these findings are still not widely used in practice. We suspect that one reason for this is that the field…

Computers and Society · Computer Science 2022-03-16 Corinna Hertweck , Christoph Heitz

We introduce the $(p,q)$-Fair Clustering problem. In this problem, we are given a set of points $P$ and a collection of different weight functions $W$. We would like to find a clustering which minimizes the $\ell_q$-norm of the vector over…

Data Structures and Algorithms · Computer Science 2021-11-10 Eden Chlamtáč , Yury Makarychev , Ali Vakilian

We address the problem of un-supervised soft-clustering called micro-clustering. The aim of the problem is to enumerate all groups composed of records strongly related to each other, while standard clustering methods separate records at…

Data Structures and Algorithms · Computer Science 2016-06-07 Takeaki Uno , Hiroki Maegawa , Takanobu Nakahara , Yukinobu Hamuro , Ryo Yoshinaka , Makoto Tatsuta

Group fairness definitions such as Demographic Parity and Equal Opportunity make assumptions about the underlying decision-problem that restrict them to classification problems. Prior work has translated these definitions to other machine…

Machine Learning · Computer Science 2023-11-28 Jack Blandin , Ian Kash

Rankings of people and items has been highly used in selection-making, match-making, and recommendation algorithms that have been deployed on ranging of platforms from employment websites to searching tools. The ranking position of a…

Social and Information Networks · Computer Science 2021-03-03 Akrati Saxena , George Fletcher , Mykola Pechenizkiy

The problem of constrained $k$-center clustering has attracted significant attention in the past decades. In this paper, we study balanced $k$-center cluster where the size of each cluster is constrained by the given lower and upper bounds.…

Computational Geometry · Computer Science 2017-04-11 Hu Ding

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

It is of critical importance to be aware of the historical discrimination embedded in the data and to consider a fairness measure to reduce bias throughout the predictive modeling pipeline. Given various notions of fairness defined in the…

Machine Learning · Computer Science 2023-01-02 Hadis Anahideh , Nazanin Nezami , Abolfazl Asudeh

We consider stochastic settings for clustering, and develop provably-good approximation algorithms for a number of these notions. These algorithms yield better approximation ratios compared to the usual deterministic clustering setting.…

Data Structures and Algorithms · Computer Science 2023-10-13 David G. Harris , Shi Li , Thomas Pensyl , Aravind Srinivasan , Khoa Trinh