Towards Foundation Models for Consensus Rank Aggregation

Fuente: arXiv
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Autores principales: Jin, Yijun, Klüttermann, Simon, Balestra, Chiara, Müller, Emmanuel
Formato: Preprint
Publicado: 2026
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author Jin, Yijun
Klüttermann, Simon
Balestra, Chiara
Müller, Emmanuel
author_facet Jin, Yijun
Klüttermann, Simon
Balestra, Chiara
Müller, Emmanuel
contents Aggregating a consensus ranking from multiple input rankings is a fundamental problem with applications in recommendation systems, search engines, job recruitment, and elections. Despite decades of research in consensus ranking aggregation, minimizing the Kemeny distance remains computationally intractable. Specifically, determining an optimal aggregation of rankings with respect to the Kemeny distance is an NP-hard problem, limiting its practical application to relatively small-scale instances. We propose the Kemeny Transformer, a novel Transformer-based algorithm trained via reinforcement learning to efficiently approximate the Kemeny optimal ranking. Experimental results demonstrate that our model outperforms classical majority-heuristic and Markov-chain approaches, achieving substantially faster inference than integer linear programming solvers. Our approach thus offers a practical, scalable alternative for real-world ranking-aggregation tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2603_15218
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Towards Foundation Models for Consensus Rank Aggregation
Jin, Yijun
Klüttermann, Simon
Balestra, Chiara
Müller, Emmanuel
Machine Learning
Artificial Intelligence
Neural and Evolutionary Computing
Aggregating a consensus ranking from multiple input rankings is a fundamental problem with applications in recommendation systems, search engines, job recruitment, and elections. Despite decades of research in consensus ranking aggregation, minimizing the Kemeny distance remains computationally intractable. Specifically, determining an optimal aggregation of rankings with respect to the Kemeny distance is an NP-hard problem, limiting its practical application to relatively small-scale instances. We propose the Kemeny Transformer, a novel Transformer-based algorithm trained via reinforcement learning to efficiently approximate the Kemeny optimal ranking. Experimental results demonstrate that our model outperforms classical majority-heuristic and Markov-chain approaches, achieving substantially faster inference than integer linear programming solvers. Our approach thus offers a practical, scalable alternative for real-world ranking-aggregation tasks.
title Towards Foundation Models for Consensus Rank Aggregation
topic Machine Learning
Artificial Intelligence
Neural and Evolutionary Computing
url https://arxiv.org/abs/2603.15218