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-references:
-- id: aristoteActiveLearningDeterministic2024
- abstract: >-
- We study monoidal transducers, transition systems arising as deterministic
- automata whose transitions also produce outputs in an arbitrary monoid, for
- instance allowing outputs to commute or to cancel out. We use the
- categorical framework for minimization and learning of Colcombet, Petrişan
- and Stabile to recover the notion of minimal transducer recognizing a
- language, and give necessary and sufficient conditions on the output monoid
- for this minimal transducer to exist and be unique (up to isomorphism). The
- categorical framework then provides an abstract algorithm for learning it
- using membership and equivalence queries, and we discuss practical aspects
- of this algorithm’s implementation.
- accessed:
- - year: 2024
- month: 2
- day: 7
- author:
- - family: Aristote
- given: Quentin
- citation-key: aristoteActiveLearningDeterministic2024
- collection-title: Leibniz International Proceedings in Informatics (LIPIcs)
- container-title: 32nd EACSL Annual Conference on Computer Science Logic (CSL 2024)
- DOI: 10.4230/LIPIcs.CSL.2024.11
- event-place: Dagstuhl, Germany
- event-title: Computer Science Logic (CSL)
- ISBN: 978-3-95977-310-2
- ISSN: 1868-8969
- issued:
- - year: 2024
- language: en
- note: Helena Rasiowa award for the Best Student Paper
- page: 11:1-11:20
- publisher: Schloss-Dagstuhl - Leibniz Zentrum für Informatik
- publisher-place: Dagstuhl, Germany
- title: >-
- Active Learning of Deterministic Transducers with Outputs in Arbitrary
- Monoids
- type: paper-conference
- URL: https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2024.11
- volume: '288'
-
-- id: aristoteActiveLearningUpwardclosed2025
- abstract: >-
- We give a new proof of a result from well quasi-order theory on the
- computability of bases for upwards-closed sets of words. This new proof is
- based on Angluin's L* algorithm, that learns an automaton from a minimally
- adequate teacher. This relates in particular two results from the 1980s:
- Angluin's L* algorithm, and a result from Valk and Jantzen on the
- computability of bases for upwards-closed sets of tuples of integers.
-
-
- Along the way, we describe an algorithm for learning quasi-ordered automata
- from a minimally adequate teacher, and extend a generalization of Valk and
- Jantzen's result, encompassing both words and integers, to finitely
- generated monoids.
- accessed:
- - year: 2025
- month: 5
- day: 6
- author:
- - family: Aristote
- given: Quentin
- citation-key: aristoteActiveLearningUpwardclosed2025
- collection-title: Leibniz International Proceedings in Informatics (LIPIcs)
- container-title: 11th Conference on Algebra and Coalgebra in Computer Science (CALCO 2025)
- event-place: Dagstuhl, Germany
- event-title: Conference on Algebra and Coalgebra in Computer Science (CALCO)
- issued:
- - year: 2025
- language: en
- publisher: Schloss Dagstuhl – Leibniz-Zentrum für Informatik
- publisher-place: Dagstuhl, Germany
- title: Active learning of upward-closed sets of words
- type: paper-conference
- URL: https://hal.science/hal-05051620
-
-- id: aristoteLearningWeightedAutomata2025
- abstract: >-
- We develop a generic reduction procedure for active learning problems. Our
- approach is inspired by a recent polynomial-time reduction of the exact
- learning problem for weighted automata over integers to that for weighted
- automata over rationals (Buna-Marginean et al. 2024). Our procedure improves
- the efficiency of a category-theoretic automata learning algorithm, and
- poses new questions about the complexity of its implementation when
- instantiated to concrete categories. As our second main contribution, we
- address these complexity aspects in the concrete setting of learning
- weighted automata over number rings, that is, rings of integers in an
- algebraic number field. Assuming a full representation of a number ring OK,
- we obtain an exact learning algorithm of OK-weighted automata that runs in
- polynomial time in the size of the target automaton, the logarithm of the
- length of the longest counterexample, the degree of the number field, and
- the logarithm of its discriminant. Our algorithm produces an automaton that
- has at most one more state than the minimal one, and we prove that doing
- better requires solving the principal ideal problem, for which the best
- currently known algorithm is in quantum polynomial time.
- accessed:
- - year: 2025
- month: 4
- day: 28
- author:
- - family: Aristote
- given: Quentin
- - family: Gool
- given: Sam
- dropping-particle: van
- - family: Petrişan
- given: Daniela
- - family: Shirmohammadi
- given: Mahsa
- citation-key: aristoteLearningWeightedAutomata2025
- container-title: >-
- LICS '25: Proceedings of the 40th Annual ACM/IEEE Symposium on Logic in
- Computer Science
- event-place: New York, NY, USA
- event-title: Logics in Computer Science (LICS)
- issued:
- - year: 2025
- language: en
- publisher: The Association for Computing Machinery
- publisher-place: New York, NY, USA
- title: Learning Weighted Automata over Number Rings, Concretely and Categorically
- type: paper-conference
- URL: https://hal.science/hal-05040143
-
-- id: aristoteMonotoneWeakDistributive2025
- abstract: >-
- In both the category of sets and the category of compact Hausdorff spaces,
- there is a monotone weak distributive law that combines two layers of
- non-determinism. Noticing the similarity between these two laws, we study
- whether the latter can be obtained automatically as a weak lifting of the
- former. This holds partially, but does not generalize to other categories of
- algebras. We then characterize when exactly monotone weak distributive laws
- over powerset monads in categories of algebras exist, on the one hand
- exhibiting a law combining probabilities and non-determinism in compact
- Hausdorff spaces and showing on the other hand that such laws do not exist
- in a lot of other cases.
- accessed:
- - year: 2025
- month: 2
- day: 25
- author:
- - family: Aristote
- given: Quentin
- citation-key: aristoteMonotoneWeakDistributive2025
- collection-title: Leibniz International Proceedings in Informatics (LIPIcs)
- container-title: >-
- 42nd International Symposium on Theoretical Aspects of Computer Science
- (STACS 2025)
- DOI: 10.4230/LIPIcs.STACS.2025.10
- editor:
- - family: Beyersdorff
- given: Olaf
- - family: Pilipczuk
- given: Michał
- - family: Pimentel
- given: Elaine
- - family: Thắng
- given: Nguyễn Kim
- event-place: Dagstuhl, Germany
- event-title: Symposium on Theoretical Aspects of Computer Science (STACS)
- ISBN: 978-3-95977-365-2
- ISSN: 1868-8969
- issued:
- - year: 2025
- language: en
- page: 10:1–10:20
- publisher: Schloss Dagstuhl – Leibniz-Zentrum für Informatik
- publisher-place: Dagstuhl, Germany
- title: >-
- Monotone Weak Distributive Laws over the Lifted Powerset Monad in Categories
- of Algebras
- type: paper-conference
- URL: https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2025.10
- volume: '327'
-...