English

Learning Choice Functions via Pareto-Embeddings

Machine Learning 2020-07-15 v1 Information Retrieval Machine Learning

Abstract

We consider the problem of learning to choose from a given set of objects, where each object is represented by a feature vector. Traditional approaches in choice modelling are mainly based on learning a latent, real-valued utility function, thereby inducing a linear order on choice alternatives. While this approach is suitable for discrete (top-1) choices, it is not straightforward how to use it for subset choices. Instead of mapping choice alternatives to the real number line, we propose to embed them into a higher-dimensional utility space, in which we identify choice sets with Pareto-optimal points. To this end, we propose a learning algorithm that minimizes a differentiable loss function suitable for this task. We demonstrate the feasibility of learning a Pareto-embedding on a suite of benchmark datasets.

Keywords

Cite

@article{arxiv.2007.06927,
  title  = {Learning Choice Functions via Pareto-Embeddings},
  author = {Karlson Pfannschmidt and Eyke Hüllermeier},
  journal= {arXiv preprint arXiv:2007.06927},
  year   = {2020}
}

Comments

5 pages, 4 figures, presented at KI 2020, 43. German Conference on Artificial Intelligence, Bamberg, Germany

R2 v1 2026-06-23T17:06:14.512Z