Multiple Fairness and Cardinality constraints for Students-Topics Grouping Problem

Research output: Working paper/PreprintPreprint

Authors

  • Tai Le Quy
  • Eirini Ntoutsi
  • Gunnar Friege

External Research Organisations

  • Freie Universität Berlin (FU Berlin)
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Details

Original languageEnglish
Publication statusE-pub ahead of print - 20 Jun 2022

Abstract

Group work is a prevalent activity in educational settings, where students are often divided into topic-specific groups based on their preferences. The grouping should reflect the students' aspirations as much as possible. Usually, the resulting groups should also be balanced in terms of protected attributes like gender or race since studies indicate that students might learn better in a diverse group. Moreover, balancing the group cardinalities is also an essential requirement for fair workload distribution across the groups. In this paper, we introduce the multi-fair capacitated (MFC) grouping problem that fairly partitions students into non-overlapping groups while ensuring balanced group cardinalities (with a lower bound and an upper bound), and maximizing the diversity of members in terms of protected attributes. We propose two approaches: a heuristic method and a knapsack-based method to obtain the MFC grouping. The experiments on a real dataset and a semi-synthetic dataset show that our proposed methods can satisfy students' preferences well and deliver balanced and diverse groups regarding cardinality and the protected attribute, respectively.

Keywords

    cs.LG, cs.CY

Cite this

Multiple Fairness and Cardinality constraints for Students-Topics Grouping Problem. / Quy, Tai Le; Ntoutsi, Eirini; Friege, Gunnar.
2022.

Research output: Working paper/PreprintPreprint

Quy TL, Ntoutsi E, Friege G. Multiple Fairness and Cardinality constraints for Students-Topics Grouping Problem. 2022 Jun 20. Epub 2022 Jun 20. doi: 10.48550/arXiv.2206.09895
Quy, Tai Le ; Ntoutsi, Eirini ; Friege, Gunnar. / Multiple Fairness and Cardinality constraints for Students-Topics Grouping Problem. 2022.
Download
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