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We introduce the class of P-finite automata. These are a generalisation of weighted automata, in which the weights of transitions can depend polynomially on the length of the input word. P-finite automata can also be viewed as simple…

计算机科学中的逻辑 · 计算机科学 2023-10-24 Alex Buna-Marginean , Vincent Cheval , Mahsa Shirmohammadi , James Worrell

We show that weighted automata over the field of two elements can be exponentially more compact than non-deterministic finite state automata. To show this, we combine ideas from automata theory and communication complexity. However,…

形式语言与自动机理论 · 计算机科学 2021-04-26 Artem Kaznatcheev , Prakash Panangaden

In this paper, we study active learning algorithms for weighted automata over a semiring. We show that a variant of Angluin's seminal \LStar\ algorithm works when the semiring is a principal ideal domain, but not for general semirings such…

形式语言与自动机理论 · 计算机科学 2021-10-15 Gerco van Heerdt , Clemens Kupke , Jurriaan Rot , Alexandra Silva

Since the seminal work by Angluin and the introduction of the L*-algorithm, active learning of automata by membership and equivalence queries has been extensively studied to learn various extensions of automata. For weighted automata,…

形式语言与自动机理论 · 计算机科学 2025-08-13 Laure Daviaud , Marianne Johnson

Limit-average automata are weighted automata on infinite words that use average to aggregate the weights seen in infinite runs. We study approximate learning problems for limit-average automata in two settings: passive and active. In the…

形式语言与自动机理论 · 计算机科学 2019-06-27 Jakub Michaliszyn , Jan Otop

We consider the complexity of equivalence and learning for multiplicity tree automata, i.e., weighted tree automata over a field. We first show that the equivalence problem is logspace equivalent to polynomial identity testing, the…

机器学习 · 计算机科学 2014-12-01 Ines Marusic , James Worrell

Automaton learning is a domain in which the target system is inferred by the automaton learning algorithm in the form of an automaton, by synthesizing a finite number of inputs and their corresponding outputs. Automaton learning makes use…

形式语言与自动机理论 · 计算机科学 2024-04-18 Farah Haneef

Tree kernels have been proposed to be used in many areas as the automatic learning of natural language applications. In this paper, we propose a new linear time algorithm based on the concept of weighted tree automata for SubTree kernel…

计算与语言 · 计算机科学 2023-02-03 Ludovic Mignot , Faissal Ouardi , Djelloul Ziadi

We consider a general framework of online learning with expert advice where regret is defined with respect to sequences of experts accepted by a weighted automaton. Our framework covers several problems previously studied, including…

机器学习 · 计算机科学 2017-10-24 Mehryar Mohri , Scott Yang

Active learning of finite automata has been vigorously pursued for the purposes of analysis and explanation of black-box systems. In this paper, we study an L*-style learning algorithm for weighted automata over the max-plus semiring. The…

形式语言与自动机理论 · 计算机科学 2024-07-16 Takamasa Okudono , Masaki Waga , Taro Sekiyama , Ichiro Hasuo

Automata learning is a technique that has successfully been applied in verification, with the automaton type varying depending on the application domain. Adaptations of automata learning algorithms for increasingly complex types of automata…

形式语言与自动机理论 · 计算机科学 2017-06-27 Gerco van Heerdt , Matteo Sammartino , Alexandra Silva

Multiset automata are a class of automata for which the symbols can be read in any order and obtain the same result. We investigate weighted multiset automata and show how to construct them from weighted regular expressions. We present…

形式语言与自动机理论 · 计算机科学 2018-06-12 Justin DeBenedetto , David Chiang

Automata over infinite alphabets have emerged as a convenient computational model for processing structures involving data, such as nonces in cryptographic protocols or data values in XML documents. We introduce active learning methods for…

形式语言与自动机理论 · 计算机科学 2026-03-27 Florian Frank , Stefan Milius , Jurriaan Rot , Henning Urbat

Automata learning is a popular technique used to automatically construct an automaton model from queries. Much research went into devising ad hoc adaptations of algorithms for different types of automata. The CALF project seeks to unify…

形式语言与自动机理论 · 计算机科学 2023-02-03 Gerco van Heerdt , Tobias Kappé , Jurriaan Rot , Matteo Sammartino , Alexandra Silva

Quantitative automata are useful representations for numerous applications, including modeling probability distributions over sequences to Markov chains and reward machines. Actively learning such automata typically occurs using explicitly…

形式语言与自动机理论 · 计算机科学 2024-11-19 Eric Hsiung , Swarat Chaudhuri , Joydeep Biswas

In this paper, we present a categorical approach to learning automata over words, in the sense of the $L^*$-algorithm of Angluin. This yields a new generic $L^*$-like algorithm which can be instantiated for learning deterministic automata,…

形式语言与自动机理论 · 计算机科学 2020-10-27 Thomas Colcombet , Daniela Petrişan , Riccardo Stabile

Active learning of timed languages is concerned with the inference of timed automata from observed timed words. The agent can query for the membership of words in the target language, or propose a candidate model and verify its equivalence…

计算机科学中的逻辑 · 计算机科学 2020-07-09 Léo Henry , Nicolas Markey , Thierry Jéron

Weighted automata is a basic tool for specification in quantitative verification, which allows to express quantitative features of analysed systems such as resource consumption. Quantitative specification can be assisted by automata…

计算复杂性 · 计算机科学 2024-03-04 Jakub Michaliszyn , Jan Otop

Automata learning has many applications in artificial intelligence and software engineering. Central to these applications is the $L^*$ algorithm, introduced by Angluin. The $L^*$ algorithm learns deterministic finite-state automata (DFAs)…

机器学习 · 计算机科学 2025-11-18 Sebastian Hagedorn , Martín Muñoz , Cristian Riveros , Rodrigo Toro Icarte

Automata-conditioned reinforcement learning (RL) has given promising results for learning multi-task policies capable of performing temporally extended objectives given at runtime, done by pretraining and freezing automata embeddings prior…

机器学习 · 计算机科学 2025-05-26 Beyazit Yalcinkaya , Niklas Lauffer , Marcell Vazquez-Chanlatte , Sanjit A. Seshia
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