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Inference with choice functions made practical

Arne Decadt (UGent) , Jasper De Bock (UGent) and Gert De Cooman (UGent)
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Abstract
We study how to infer new choices from previous choices in a conservative manner. To make such inferences, we use the theory of choice functions: a unifying mathematical framework for conservative decision making that allows one to impose axioms directly on the represented decisions. We here adopt the coherence axioms of De Bock and De Cooman (2019). We show how to naturally extend any given choice assessment to such a coherent choice function, whenever possible, and use this natural extension to make new choices. We present a practical algorithm to compute this natural extension and provide several methods that can be used to improve its scalability.

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MLA
Decadt, Arne, et al. “Inference with Choice Functions Made Practical.” Scalable Uncertainty Management, 14th International Conference, SUM 2020, edited by Jesse Davis and Karim Tabia, vol. 12322, Springer, 2020, pp. 113–27, doi:10.1007/978-3-030-58449-8_8.
APA
Decadt, A., De Bock, J., & De Cooman, G. (2020). Inference with choice functions made practical. In J. Davis & K. Tabia (Eds.), Scalable Uncertainty Management, 14th International Conference, SUM 2020 (Vol. 12322, pp. 113–127). Bozen-Bolzano, Italy,: Springer. https://doi.org/10.1007/978-3-030-58449-8_8
Chicago author-date
Decadt, Arne, Jasper De Bock, and Gert De Cooman. 2020. “Inference with Choice Functions Made Practical.” In Scalable Uncertainty Management, 14th International Conference, SUM 2020, edited by Jesse Davis and Karim Tabia, 12322:113–27. Springer. https://doi.org/10.1007/978-3-030-58449-8_8.
Chicago author-date (all authors)
Decadt, Arne, Jasper De Bock, and Gert De Cooman. 2020. “Inference with Choice Functions Made Practical.” In Scalable Uncertainty Management, 14th International Conference, SUM 2020, ed by. Jesse Davis and Karim Tabia, 12322:113–127. Springer. doi:10.1007/978-3-030-58449-8_8.
Vancouver
1.
Decadt A, De Bock J, De Cooman G. Inference with choice functions made practical. In: Davis J, Tabia K, editors. Scalable Uncertainty Management, 14th International Conference, SUM 2020. Springer; 2020. p. 113–27.
IEEE
[1]
A. Decadt, J. De Bock, and G. De Cooman, “Inference with choice functions made practical,” in Scalable Uncertainty Management, 14th International Conference, SUM 2020, Bozen-Bolzano, Italy, 2020, vol. 12322, pp. 113–127.
@inproceedings{8676024,
  abstract     = {{We study how to infer new choices from previous choices in a conservative manner. To make such inferences, we use the theory of choice functions: a unifying mathematical framework for conservative decision making that allows one to impose axioms directly on the represented decisions. We here adopt the coherence axioms of De Bock and De Cooman (2019). We show how to naturally extend any given choice assessment to such a coherent choice function, whenever possible, and use this natural extension to make new choices. We present a practical algorithm to compute this natural extension and provide several methods that can be used to improve its scalability.}},
  author       = {{Decadt, Arne and De Bock, Jasper and De Cooman, Gert}},
  booktitle    = {{Scalable Uncertainty Management, 14th International Conference, SUM 2020}},
  editor       = {{Davis, Jesse and Tabia, Karim}},
  isbn         = {{9783030584481}},
  issn         = {{0302-9743}},
  language     = {{eng}},
  location     = {{Bozen-Bolzano, Italy,}},
  pages        = {{113--127}},
  publisher    = {{Springer}},
  title        = {{Inference with choice functions made practical}},
  url          = {{http://dx.doi.org/10.1007/978-3-030-58449-8_8}},
  volume       = {{12322}},
  year         = {{2020}},
}

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