---
_id: '19523'
abstract:
- lang: eng
text: "We study the problem of learning choice functions, which play an important\r\nrole
in various domains of application, most notably in the field of economics.\r\nFormally,
a choice function is a mapping from sets to sets: Given a set of\r\nchoice alternatives
as input, a choice function identifies a subset of most\r\npreferred elements.
Learning choice functions from suitable training data comes\r\nwith a number of
challenges. For example, the sets provided as input and the\r\nsubsets produced
as output can be of any size. Moreover, since the order in\r\nwhich alternatives
are presented is irrelevant, a choice function should be\r\nsymmetric. Perhaps
most importantly, choice functions are naturally\r\ncontext-dependent, in the
sense that the preference in favor of an alternative\r\nmay depend on what other
options are available. We formalize the problem of\r\nlearning choice functions
and present two general approaches based on two\r\nrepresentations of context-dependent
utility functions. Both approaches are\r\ninstantiated by means of appropriate
neural network architectures, and their\r\nperformance is demonstrated on suitable
benchmark tasks."
author:
- first_name: Karlson
full_name: Pfannschmidt, Karlson
last_name: Pfannschmidt
- first_name: Pritha
full_name: Gupta, Pritha
last_name: Gupta
- first_name: Eyke
full_name: Hüllermeier, Eyke
last_name: Hüllermeier
citation:
ama: 'Pfannschmidt K, Gupta P, Hüllermeier E. Learning Choice Functions: Concepts
and Architectures. *arXiv:190110860*. 2019.'
apa: 'Pfannschmidt, K., Gupta, P., & Hüllermeier, E. (2019). Learning Choice
Functions: Concepts and Architectures. *ArXiv:1901.10860*.'
bibtex: '@article{Pfannschmidt_Gupta_Hüllermeier_2019, title={Learning Choice Functions:
Concepts and Architectures}, journal={arXiv:1901.10860}, author={Pfannschmidt,
Karlson and Gupta, Pritha and Hüllermeier, Eyke}, year={2019} }'
chicago: 'Pfannschmidt, Karlson, Pritha Gupta, and Eyke Hüllermeier. “Learning Choice
Functions: Concepts and Architectures.” *ArXiv:1901.10860*, 2019.'
ieee: 'K. Pfannschmidt, P. Gupta, and E. Hüllermeier, “Learning Choice Functions:
Concepts and Architectures,” *arXiv:1901.10860*. 2019.'
mla: 'Pfannschmidt, Karlson, et al. “Learning Choice Functions: Concepts and Architectures.”
*ArXiv:1901.10860*, 2019.'
short: K. Pfannschmidt, P. Gupta, E. Hüllermeier, ArXiv:1901.10860 (2019).
date_created: 2020-09-17T10:53:38Z
date_updated: 2022-01-06T06:54:06Z
department:
- _id: '7'
- _id: '355'
language:
- iso: eng
project:
- _id: '52'
name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: arXiv:1901.10860
status: public
title: 'Learning Choice Functions: Concepts and Architectures'
type: preprint
user_id: '13472'
year: '2019'
...