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| author | aristote <quentin.aristote@irif.fr> | 2025-07-26 23:38:08 +0200 |
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| committer | aristote <quentin.aristote@irif.fr> | 2025-07-26 23:38:08 +0200 |
| commit | 34590ceac9259fd4424118894c3d3c7584ebd2fc (patch) | |
| tree | 2e5353ef03516d6b2227dbeb13332732765c844a /publications/talks.yaml | |
| parent | ee18dbf2546c3374abcf5a63942b777fd46eb23f (diff) | |
new publication format
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diff --git a/publications/talks.yaml b/publications/talks.yaml new file mode 100644 index 0000000..e138ea3 --- /dev/null +++ b/publications/talks.yaml @@ -0,0 +1,509 @@ +--- +references: +- id: aristoteActiveLearningDeterministic2024a + 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. + author: + - family: Aristote + given: Quentin + citation-key: aristoteActiveLearningDeterministic2024a + event-place: Naples, Italy + event-title: 32nd EACSL Annual Conference on Computer Science Logic 2024 (CSL 2024) + genre: conference + issued: + - year: 2024 + month: 2 + day: 22 + language: en + note: >- + slides: + https://gitlab.math.univ-paris-diderot.fr/-/project/840/uploads/441b176a634e9ed8b569d75dc18bf98a/monoidal-transducer-learning.pdf + publisher-place: Naples, Italy + title: >- + Active Learning of Deterministic Transducers with Outputs in Arbitrary + Monoids + type: speech + URL: https://www.irif.fr/seminaires/automates/index + +- id: aristoteActiveLearningDeterministic2024b + 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. In a first part I'll + explain how Vilar's algorithm for the active learning à la Angluin of + (normal) transducers generalize to monoidal transducers. In a second part + I'll then discuss how this is an instance of the categorical framework for + minimization and learning of Colcombet, Petrişan and Stabile: the active + learning algorithm was obtained by instantiating monoidal transducers in + this framework. + author: + - family: Aristote + given: Quentin + citation-key: aristoteActiveLearningDeterministic2024b + event-place: Paris, France + event-title: Séminaire Automates (IRIF) + genre: seminar + issued: + - year: 2024 + month: 3 + day: 22 + language: en + note: >- + slides: + https://gitlab.math.univ-paris-diderot.fr/-/project/840/uploads/46406ee1029eeaa311f952e661cc742c/monoidal-transducer-learning.pdf + publisher-place: Paris, France + title: >- + Active Learning of Deterministic Transducers with Outputs in Arbitrary + Monoids + type: speech + URL: https://www.irif.fr/seminaires/automates/index + +- id: aristoteActiveLearningDeterministic2024c + 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. In a first part I'll + explain how Vilar's algorithm for the active learning à la Angluin of + (normal) transducers generalize to monoidal transducers. In a second part + I'll then discuss how this is an instance of the categorical framework for + minimization and learning of Colcombet, Petrişan and Stabile: the active + learning algorithm was obtained by instantiating monoidal transducers in + this framework. + author: + - family: Aristote + given: Quentin + citation-key: aristoteActiveLearningDeterministic2024c + event-place: Oxford, United Kingdom + event-title: Verification seminar + genre: seminar + issued: + - year: 2024 + month: 6 + day: 17 + language: en + note: >- + slides: + https://gitlab.math.univ-paris-diderot.fr/-/project/840/uploads/46406ee1029eeaa311f952e661cc742c/monoidal-transducer-learning.pdf + publisher-place: Oxford, United Kingdom + title: >- + Active Learning of Deterministic Transducers with Outputs in Arbitrary + Monoids + type: speech + URL: https://www.cs.ox.ac.uk/research/verification/ + +- id: aristoteActiveLearningUpwardclosed2025a + 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. + author: + - family: Aristote + given: Quentin + citation-key: aristoteActiveLearningUpwardclosed2025a + event-place: Glasgow, Scotland$ + event-title: 11th Conference on Algebra and Coalgebra in Computer Science (CALCO 2025) + genre: conference + issued: + - year: 2025 + month: 6 + day: 17 + language: en + note: >- + slides: + https://coalg.org/calco-mfps-2025/slides/2-Tuesday/4-Session3/1-QuentinAristote.pdf + publisher-place: Glasgow, Scotland$ + title: Active learning of upward-closed sets of words + type: speech + URL: https://coalg.org/calco-mfps-2025/calco/ + +- id: aristoteAutomataWeightedCommutative2023 + author: + - family: Aristote + given: Quentin + citation-key: aristoteAutomataWeightedCommutative2023 + event-place: Paris, France + event-title: ASV day (IRIF) + genre: seminar + issued: + - year: 2023 + month: 12 + day: 6 + language: en + note: >- + slides: + https://gitlab.math.univ-paris-diderot.fr/-/project/996/uploads/48a134fb160ea880ea4676adbf1dc637/dedekind-weighted-automata.pdf + publisher-place: Paris, France + title: >- + Automata weighted over commutative rings: notions of minimality and the case + of Dedekind domains + type: speech + URL: https://www.irif.fr/poles/asv/journee_pole_2023 + +- id: aristoteLearningWeightedAutomata2025a + abstract: >- + We study automata weighted over number rings, that is, rings of integers in + an algebraic number field. + + + We show that number rings are what we call "almost strong Fatou": if an + n-state automaton weighted in a number field recognizes an integer-valued + series, then it admits an equivalent n+1-state automaton weighted in the + corresponding ring of integers. + + + We give a polynomial-time algorithm for computing such an n+1-state + automaton, and show that removing any more states is at least as hard as + solving the principal ideal problem, for which the best currently known + algorithm is in quantum polynomial time. + + + Finally, we will see how this procedure can be used to reduce active + learning problems in number rings to active learning problems in fields. If + time allows, I will also give a brief explanation of how this generalizes to + a generic reduction procedure between active learning problems for automata + valued in different categories. + author: + - family: Aristote + given: Quentin + citation-key: aristoteLearningWeightedAutomata2025a + event-place: Marseille, France + event-title: MoVe seminar (LiS) + genre: seminar + issued: + - year: 2025 + month: 3 + day: 28 + language: en + note: >- + slides: + https://gitlab.math.univ-paris-diderot.fr/-/project/996/uploads/8b14ed9a7383f9776fc69aa03003890a/dedekind-weighted-automata.pdf + publisher-place: Marseille, France + title: Learning Weighted Automata over Number Rings, Concretely (and Categorically) + type: speech + URL: https://move.lis-lab.fr/seminars + +- id: aristoteLearningWeightedAutomata2025b + 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. + author: + - family: Aristote + given: Quentin + citation-key: aristoteLearningWeightedAutomata2025b + event-place: Wadern, Germany + event-title: Dagstuhl Seminar 25141 Categories for Automata and Language Theory + genre: conference + issued: + - year: 2025 + month: 3 + day: 31 + language: en + note: 'slides: https://materials.dagstuhl.de/index.php?semnr=25141&fileId=17258' + publisher-place: Wadern, Germany + title: Learning Weighted Automata over Number Rings, (Concretely and) Categorically + type: speech + URL: https://www.dagstuhl.de/25141 + +- id: aristoteLearningWeightedAutomata2025c + 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. + author: + - family: Aristote + given: Quentin + citation-key: aristoteLearningWeightedAutomata2025c + event-place: Singapore, Singapore + event-title: Fortieth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS 2025) + genre: conference + issued: + - year: 2025 + month: 6 + day: 24 + language: en + note: >- + slides: + https://gitlab.math.univ-paris-diderot.fr/-/project/996/uploads/13561d884f911e1e27f5df625892bfb1/dedekind-weighted-automata.pdf + publisher-place: Singapore, Singapore + title: Learning Weighted Automata over Number Rings, Concretely and Categorically + type: speech + URL: https://lics.siglog.org/lics25/ + +- id: aristoteMonotoneWeakDistributive2024a + abstract: >- + Noticing the similarity between the monotone weak distributive laws + combining two layers of nondeterminisms in sets and in compact Hausdorff + spaces, we study whether the latter law 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, + 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. + author: + - family: Aristote + given: Quentin + citation-key: aristoteMonotoneWeakDistributive2024a + event-place: Leiden, The Netherlands + event-title: 109th Peripatetic Seminar on Sheaves and Logic (PSSL 109) + genre: conference + issued: + - year: 2024 + month: 11 + day: 15 + language: en + note: >- + slides: + https://dutchcats.github.io/PSSL-2024/slides_PSSL24/Aristote-PSSL109.pdf + publisher-place: Leiden, The Netherlands + title: >- + Monotone weak distributive laws over the lifted powerset monad in categories + of algebras + type: speech + URL: https://dutchcats.github.io/PSSL-2024/ + +- id: aristoteMonotoneWeakDistributive2025a + 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. + author: + - family: Aristote + given: Quentin + citation-key: aristoteMonotoneWeakDistributive2025a + event-place: Jena, Germany + event-title: >- + 42nd International Symposium on Theoretical Aspects of Computer Science + (STACS 2025) + genre: conference + issued: + - year: 2025 + month: 3 + day: 5 + language: en + note: >- + slides: + https://stacs2025.gitlab.io/slides/monotone-weak-distributive-laws-over-the-lifted-powerset-monad-in-categories-of-algebras.pdf + publisher-place: Jena, Germany + title: >- + Monotone weak distributive laws over the lifted powerset monad in categories + of algebras + type: speech + URL: https://stacs2025.de/ + +- id: aristoteMonotoneWeakDistributive2025b + abstract: >- + Within the study of the semantics of programming languages, computational + effects may be modelled with monads, and weak distributive laws between + monads are then a tool to combine two such effects. + + + 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 some sort of lifting of + the former. + + + More specifically, we show how a framework for constructing monotone weak + distributive laws in regular categories lifts to categories of algebras, + giving a full characterization for the existence of monotone weak + distributive laws therein. We then exhibit such a law, combining + probabilities and non-determinism, in compact Hausdorff spaces; but we also + show how such laws do not exist in a lot of other cases. + author: + - family: Aristote + given: Quentin + citation-key: aristoteMonotoneWeakDistributive2025b + event-place: Marseille, France + event-title: LSC Seminar (LiS) + genre: seminar + issued: + - year: 2025 + month: 3 + day: 27 + language: en + note: >- + slides: + https://gitlab.math.univ-paris-diderot.fr/-/project/1062/uploads/02cd7ed45cdac419f5cf315fdde2200a/monotone-wdl-algebras.pdf + publisher-place: Marseille, France + title: >- + Monotone weak distributive laws over the lifted powerset monad in categories + of algebras + type: speech + URL: https://lsc.lis-lab.fr/lsc-seminar/ + +- id: aristoteMonotoneWeakDistributive2025c + abstract: >- + When studying the semantics of programming languages, monads are a tool to + model computational effects. Given two monads modelling two effects, a + natural question is whether one can build a composed monad modelling the + combination of these two effects. There is a generic way to do this when + there exists a monotone weak distributive law between the two monads. + + + Monotone weak distributive laws are a recently-developed mathematical tool, + and the first part of the talk will focus on introducing them and giving + several examples. The second part of the talk will then focus on the main + result from [1], which gives a full characterization for the existence of + monotone weak distributive laws in certain categories of algebras. + + + [1] https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2025.10 + author: + - family: Aristote + given: Quentin + citation-key: aristoteMonotoneWeakDistributive2025c + event-place: Palaiseau, France + event-title: Theoretical Cosynus Seminar (LIX) + genre: seminar + issued: + - year: 2025 + month: 4 + day: 8 + language: en + publisher-place: Palaiseau, France + title: Monotone weak distributive laws in categories of algebras + type: speech + URL: https://www.lix.polytechnique.fr/proofs-algorithms/tcs/ + +- id: aristoteMulticategoricalFrameworkMinimization2024 + abstract: >- + Joint work with Daniela Petrişan. This paper provides a unifying + category-theoretic framework for minimization and learning algorithms for + bottom-up tree automata with effects. Our aim is two-fold: encompass + existing algorithms for various forms of tree automata – deterministic + bottom-up tree automata, residual finite tree automata, tree automata + weighted over a field – and instantiate the abstract framework in order to + obtain new results – tree automata weighted over prinicipal ideal domains + (PIDs). + author: + - family: Aristote + given: Quentin + citation-key: aristoteMulticategoricalFrameworkMinimization2024 + event-place: Bordeaux, France + event-title: Highlights of Logic, Games and Automata (Highlights 2024) + genre: conference + issued: + - year: 2024 + month: 9 + day: 18 + language: en + note: >- + slides: + https://gitlab.math.univ-paris-diderot.fr/-/project/1003/uploads/c415dcc8a1e22c5d91cb91cfd8d6d55f/minimal-tree-automata.pdf + publisher-place: Bordeaux, France + title: >- + Multicategorical framework for minimization and learning of bottom-up tree + automata with effects + type: speech + URL: https://highlights-conference.org/2024/ + +- id: aristoteOpenPowerObjectsCategories2025 + author: + - family: Aristote + given: Quentin + citation-key: aristoteOpenPowerObjectsCategories2025 + event-place: Brno, Czech Republic + event-title: International Category Theory Conference (CT 2025) + genre: conference + issued: + - year: 2025 + month: 7 + day: 18 + language: en + note: >- + slides: + https://gitlab.math.univ-paris-diderot.fr/-/project/1062/uploads/620105dfc6c8ec7fef78737368585a25/open-powerobjects-algebras.pdf + + abstract: + https://conference.math.muni.cz/ct2025/data/uploads/abstracts/aristote.pdf + publisher-place: Brno, Czech Republic + title: Open Power-Objects in Categories of Algebras + type: speech + URL: https://conference.math.muni.cz/ct2025/ + +- id: aristoteWeakDistributiveLaws2024 + author: + - family: Aristote + given: Quentin + citation-key: aristoteWeakDistributiveLaws2024 + event-place: Barcelona, Spain + event-title: Topology, Algebra, and Categories in Logic (TACL 2024) + genre: conference + issued: + - year: 2024 + month: 7 + day: 4 + language: en + note: >- + slides: + https://gitlab.math.univ-paris-diderot.fr/-/project/1057/uploads/a2a13506a3034d6713fa0786adbc9ebf/wdl-powerspaces-scs.pdf + + abstract: + https://iiia.csic.es/tacl2024/abstracts/conference/contributed/TACL_2024_paper_118.pdf + publisher-place: Barcelona, Spain + title: Weak distributive laws between powerspaces over stably compact spaces + type: speech + URL: https://iiia.csic.es/tacl2024/ +... |
