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Decision Theory Meets Linear Optimization Beyond Computation

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Decision Theory Meets Linear Optimization Beyond Computation. / Jansen, Christoph; Schollmeyer, Georg; Augustin, Thomas.
Symbolic and Quantitative Approaches to Reasoning with Uncertainty: 14th European Conference, ECSQARU 2017, Lugano, Switzerland, July 10–14, 2017, Proceedings. ed. / Alessandro Antonucci; Laurence Cholvy; Odile Papini. Cham: Springer, 2017. p. 329-339 (Lecture Notes in Computer Science; Vol. 10369).

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

Harvard

Jansen, C, Schollmeyer, G & Augustin, T 2017, Decision Theory Meets Linear Optimization Beyond Computation. in A Antonucci, L Cholvy & O Papini (eds), Symbolic and Quantitative Approaches to Reasoning with Uncertainty: 14th European Conference, ECSQARU 2017, Lugano, Switzerland, July 10–14, 2017, Proceedings. Lecture Notes in Computer Science, vol. 10369, Springer, Cham, pp. 329-339. https://doi.org/10.1007/978-3-319-61581-3_30

APA

Jansen, C., Schollmeyer, G., & Augustin, T. (2017). Decision Theory Meets Linear Optimization Beyond Computation. In A. Antonucci, L. Cholvy, & O. Papini (Eds.), Symbolic and Quantitative Approaches to Reasoning with Uncertainty: 14th European Conference, ECSQARU 2017, Lugano, Switzerland, July 10–14, 2017, Proceedings (pp. 329-339). (Lecture Notes in Computer Science; Vol. 10369). Springer. https://doi.org/10.1007/978-3-319-61581-3_30

Vancouver

Jansen C, Schollmeyer G, Augustin T. Decision Theory Meets Linear Optimization Beyond Computation. In Antonucci A, Cholvy L, Papini O, editors, Symbolic and Quantitative Approaches to Reasoning with Uncertainty: 14th European Conference, ECSQARU 2017, Lugano, Switzerland, July 10–14, 2017, Proceedings. Cham: Springer. 2017. p. 329-339. (Lecture Notes in Computer Science). doi: 10.1007/978-3-319-61581-3_30

Author

Jansen, Christoph ; Schollmeyer, Georg ; Augustin, Thomas. / Decision Theory Meets Linear Optimization Beyond Computation. Symbolic and Quantitative Approaches to Reasoning with Uncertainty: 14th European Conference, ECSQARU 2017, Lugano, Switzerland, July 10–14, 2017, Proceedings. editor / Alessandro Antonucci ; Laurence Cholvy ; Odile Papini. Cham : Springer, 2017. pp. 329-339 (Lecture Notes in Computer Science).

Bibtex

@inproceedings{0b49493460df45dcad49f151881498c7,
title = "Decision Theory Meets Linear Optimization Beyond Computation",
abstract = "The paper is concerned with decision making under complex uncertainty. We consider the Hodges and Lehmann-criterion relying on uncertain classical probabilities and Walley{\textquoteright}s maximality relying on imprecise probabilities. We present linear programming based approaches for computing optimal acts as well as for determining least favorable prior distributions in finite decision settings. Further, we apply results from duality theory of linear programming in order to provide theoretical insights into certain characteristics of these optimal solutions. Particularly, we characterize conditions under which randomization pays out when defining optimality in terms of the Gamma-Maximin criterion and investigate how these conditions relate to least favorable priors.",
author = "Christoph Jansen and Georg Schollmeyer and Thomas Augustin",
year = "2017",
month = jun,
day = "15",
doi = "10.1007/978-3-319-61581-3_30",
language = "English",
isbn = "9783319615806",
series = "Lecture Notes in Computer Science",
publisher = "Springer",
pages = "329--339",
editor = "Alessandro Antonucci and Cholvy, {Laurence } and Odile Papini",
booktitle = "Symbolic and Quantitative Approaches to Reasoning with Uncertainty",

}

RIS

TY - GEN

T1 - Decision Theory Meets Linear Optimization Beyond Computation

AU - Jansen, Christoph

AU - Schollmeyer, Georg

AU - Augustin, Thomas

PY - 2017/6/15

Y1 - 2017/6/15

N2 - The paper is concerned with decision making under complex uncertainty. We consider the Hodges and Lehmann-criterion relying on uncertain classical probabilities and Walley’s maximality relying on imprecise probabilities. We present linear programming based approaches for computing optimal acts as well as for determining least favorable prior distributions in finite decision settings. Further, we apply results from duality theory of linear programming in order to provide theoretical insights into certain characteristics of these optimal solutions. Particularly, we characterize conditions under which randomization pays out when defining optimality in terms of the Gamma-Maximin criterion and investigate how these conditions relate to least favorable priors.

AB - The paper is concerned with decision making under complex uncertainty. We consider the Hodges and Lehmann-criterion relying on uncertain classical probabilities and Walley’s maximality relying on imprecise probabilities. We present linear programming based approaches for computing optimal acts as well as for determining least favorable prior distributions in finite decision settings. Further, we apply results from duality theory of linear programming in order to provide theoretical insights into certain characteristics of these optimal solutions. Particularly, we characterize conditions under which randomization pays out when defining optimality in terms of the Gamma-Maximin criterion and investigate how these conditions relate to least favorable priors.

U2 - 10.1007/978-3-319-61581-3_30

DO - 10.1007/978-3-319-61581-3_30

M3 - Conference contribution/Paper

SN - 9783319615806

T3 - Lecture Notes in Computer Science

SP - 329

EP - 339

BT - Symbolic and Quantitative Approaches to Reasoning with Uncertainty

A2 - Antonucci, Alessandro

A2 - Cholvy, Laurence

A2 - Papini, Odile

PB - Springer

CY - Cham

ER -