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We present an interactive version of an evidence-driven state-merging (EDSM) algorithm for learning variants of finite state automata. Learning these automata often amounts to recovering or reverse engineering the model generating the data…

Machine Learning · Statistics 2017-08-01 Christian A. Hammerschmidt , Radu State , Sicco Verwer

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,…

Formal Languages and Automata Theory · Computer Science 2021-04-26 Artem Kaznatcheev , Prakash Panangaden

The design of decision and control strategies for switched systems typically requires complete knowledge of (i) mathematical models of the subsystems and (ii) restrictions on admissible switches between the subsystems. We propose an active…

Systems and Control · Electrical Eng. & Systems 2021-11-11 Atreyee Kundu

We introduce improvements in the algorithm by Gastin and Oddoux translating LTL formulae into B\"uchi automata via very weak alternating co-B\"uchi automata and generalized B\"uchi automata. Several improvements are based on specific…

Formal Languages and Automata Theory · Computer Science 2012-04-02 Tomáš Babiak , Mojmír Křetínský , Vojtěch Řehák , Jan Strejček

Submodular functions describe a variety of discrete problems in machine learning, signal processing, and computer vision. However, minimizing submodular functions poses a number of algorithmic challenges. Recent work introduced an…

Optimization and Control · Mathematics 2014-11-06 Robert Nishihara , Stefanie Jegelka , Michael I. Jordan

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…

Logic in Computer Science · Computer Science 2023-10-24 Alex Buna-Marginean , Vincent Cheval , Mahsa Shirmohammadi , James Worrell

We define a congruence that copes with null next-symbol probabilities that arise when the output of a language model is constrained by some means during text generation. We develop an algorithm for efficiently learning the quotient with…

Formal Languages and Automata Theory · Computer Science 2024-06-18 Matías Carrasco , Franz Mayr , Sergio Yovine , Johny Kidd , Martín Iturbide , Juan Pedro da Silva , Alejo Garat

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…

Formal Languages and Automata Theory · Computer Science 2019-06-27 Jakub Michaliszyn , Jan Otop

We develop a novel approach to conformal prediction when the target task has limited data available for training. Conformal prediction identifies a small set of promising output candidates in place of a single prediction, with guarantees…

Machine Learning · Computer Science 2021-07-21 Adam Fisch , Tal Schuster , Tommi Jaakkola , Regina Barzilay

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…

Logic in Computer Science · Computer Science 2020-07-09 Léo Henry , Nicolas Markey , Thierry Jéron

We propose One-counter Positive Negative Inference (OPNI), a passive learning algorithm for deterministic real-time one-counter automata (DROCA). Inspired by the RPNI algorithm for regular languages, OPNI constructs a DROCA consistent with…

Formal Languages and Automata Theory · Computer Science 2025-09-09 Shibashis Guha , Anirban Majumdar , Prince Mathew , A. V. Sreejith

We introduce MK-fuzzy automata over a bimonoid K which is related to the fuzzification of the McCarthy-Kleene logic. Our automata are inspired by, and intend to contribute to, practical applications being in development in a project on…

Formal Languages and Automata Theory · Computer Science 2017-09-08 Manfred Droste , Temur Kutsia , George Rahonis , Wolfgang Schreiner

We present a new algorithm based on posterior sampling for learning in Constrained Markov Decision Processes (CMDP) in the infinite-horizon undiscounted setting. The algorithm achieves near-optimal regret bounds while being advantageous…

Machine Learning · Computer Science 2024-05-30 Danil Provodin , Maurits Kaptein , Mykola Pechenizkiy

Parikh automata extend finite automata by counters that can be tested for membership in a semilinear set, but only at the end of a run. Thereby, they preserve many of the desirable properties of finite automata. Deterministic Parikh…

Formal Languages and Automata Theory · Computer Science 2025-05-28 Enzo Erlich , Mario Grobler , Shibashis Guha , Ismaël Jecker , Karoliina Lehtinen , Martin Zimmermann

In a paper published in Information Processing Letters in 2000, Bouajjani et al. presented an automata-based approach to a number of elementary problems on context-free grammars. This approach is of pedagogical interest since it provides a…

Formal Languages and Automata Theory · Computer Science 2024-10-28 Javier Esparza , Peter Rossmanith , Stefan Schwoon

A notion of alternating timed automata is proposed. It is shown that such automata with only one clock have decidable emptiness problem over finite words. This gives a new class of timed languages which is closed under boolean operations…

Logic in Computer Science · Computer Science 2007-05-23 Slawomir Lasota , Igor Walukiewicz

Conformal predictors are machine learning algorithms that output prediction sets that have a guarantee of marginal validity for finite samples with minimal distributional assumptions. This is a property that makes conformal predictors…

Machine Learning · Computer Science 2021-03-03 Anthony Bellotti

In this paper we regard languages and their acceptors - such as deterministic or weighted automata, transducers, or monoids - as functors from input categories that specify the type of the languages and of the machines to categories that…

Logic in Computer Science · Computer Science 2023-06-22 Thomas Colcombet , Daniela Petrişan

Nowadays, algorithms with fast convergence, small memory footprints, and low per-iteration complexity are particularly favorable for artificial intelligence applications. In this paper, we propose a doubly stochastic algorithm with a novel…

Machine Learning · Computer Science 2023-04-25 Zebang Shen , Hui Qian , Tongzhou Mu , Chao Zhang

We study one-head machines through symbolic and topological dynamics. In particular, a subshift is associated to the subshift, and we are interested in its complexity in terms of realtime recognition. We emphasize the class of one-head…

Formal Languages and Automata Theory · Computer Science 2015-05-18 Anahi Gajardo , Pierre Guillon