---
_id: '6942'
abstract:
- lang: eng
text: "Graph games and Markov decision processes (MDPs) are standard models in reactive
synthesis and verification of probabilistic systems with nondeterminism. The class
of \U0001D714 -regular winning conditions; e.g., safety, reachability, liveness,
parity conditions; provides a robust and expressive specification formalism for
properties that arise in analysis of reactive systems. The resolutions of nondeterminism
in games and MDPs are represented as strategies, and we consider succinct representation
of such strategies. The decision-tree data structure from machine learning retains
the flavor of decisions of strategies and allows entropy-based minimization to
obtain succinct trees. However, in contrast to traditional machine-learning problems
where small errors are allowed, for winning strategies in graph games and MDPs
no error is allowed, and the decision tree must represent the entire strategy.
In this work we propose decision trees with linear classifiers for representation
of strategies in graph games and MDPs. We have implemented strategy representation
using this data structure and we present experimental results for problems on
graph games and MDPs, which show that this new data structure presents a much
more efficient strategy representation as compared to standard decision trees."
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Pranav
full_name: Ashok, Pranav
last_name: Ashok
- first_name: Tomáš
full_name: Brázdil, Tomáš
last_name: Brázdil
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Jan
full_name: Křetínský, Jan
last_name: Křetínský
- first_name: Christoph
full_name: Lampert, Christoph
id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
last_name: Lampert
orcid: 0000-0001-8622-7887
- first_name: Viktor
full_name: Toman, Viktor
id: 3AF3DA7C-F248-11E8-B48F-1D18A9856A87
last_name: Toman
orcid: 0000-0001-9036-063X
citation:
ama: 'Ashok P, Brázdil T, Chatterjee K, Křetínský J, Lampert C, Toman V. Strategy
representation by decision trees with linear classifiers. In: 16th International
Conference on Quantitative Evaluation of Systems. Vol 11785. Springer Nature;
2019:109-128. doi:10.1007/978-3-030-30281-8_7'
apa: 'Ashok, P., Brázdil, T., Chatterjee, K., Křetínský, J., Lampert, C., &
Toman, V. (2019). Strategy representation by decision trees with linear classifiers.
In 16th International Conference on Quantitative Evaluation of Systems
(Vol. 11785, pp. 109–128). Glasgow, United Kingdom: Springer Nature. https://doi.org/10.1007/978-3-030-30281-8_7'
chicago: Ashok, Pranav, Tomáš Brázdil, Krishnendu Chatterjee, Jan Křetínský, Christoph
Lampert, and Viktor Toman. “Strategy Representation by Decision Trees with Linear
Classifiers.” In 16th International Conference on Quantitative Evaluation of
Systems, 11785:109–28. Springer Nature, 2019. https://doi.org/10.1007/978-3-030-30281-8_7.
ieee: P. Ashok, T. Brázdil, K. Chatterjee, J. Křetínský, C. Lampert, and V. Toman,
“Strategy representation by decision trees with linear classifiers,” in 16th
International Conference on Quantitative Evaluation of Systems, Glasgow, United
Kingdom, 2019, vol. 11785, pp. 109–128.
ista: 'Ashok P, Brázdil T, Chatterjee K, Křetínský J, Lampert C, Toman V. 2019.
Strategy representation by decision trees with linear classifiers. 16th International
Conference on Quantitative Evaluation of Systems. QEST: Quantitative Evaluation
of Systems, LNCS, vol. 11785, 109–128.'
mla: Ashok, Pranav, et al. “Strategy Representation by Decision Trees with Linear
Classifiers.” 16th International Conference on Quantitative Evaluation of Systems,
vol. 11785, Springer Nature, 2019, pp. 109–28, doi:10.1007/978-3-030-30281-8_7.
short: P. Ashok, T. Brázdil, K. Chatterjee, J. Křetínský, C. Lampert, V. Toman,
in:, 16th International Conference on Quantitative Evaluation of Systems, Springer
Nature, 2019, pp. 109–128.
conference:
end_date: 2019-09-12
location: Glasgow, United Kingdom
name: 'QEST: Quantitative Evaluation of Systems'
start_date: 2019-09-10
date_created: 2019-10-14T06:57:49Z
date_published: 2019-09-04T00:00:00Z
date_updated: 2023-08-30T06:59:36Z
day: '04'
department:
- _id: KrCh
- _id: ChLa
doi: 10.1007/978-3-030-30281-8_7
external_id:
arxiv:
- '1906.08178'
isi:
- '000679281300007'
intvolume: ' 11785'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1906.08178
month: '09'
oa: 1
oa_version: Preprint
page: 109-128
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
publication: 16th International Conference on Quantitative Evaluation of Systems
publication_identifier:
eisbn:
- '9783030302818'
isbn:
- '9783030302801'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Strategy representation by decision trees with linear classifiers
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 11785
year: '2019'
...