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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…

Formal Languages and Automata Theory · Computer Science 2024-11-19 Eric Hsiung , Swarat Chaudhuri , Joydeep Biswas

We propose a new approach to heap analysis through an abstract domain of automata, called automatic shapes. The abstract domain uses a particular kind of automata, called quantified data automata on skinny trees (QSDAs), that allows to…

Programming Languages · Computer Science 2013-04-03 Pranav Garg , P. Madhusudan , Gennaro Parlato

{\it Learning finite automata} (termed as {\it model learning}) has become an important field in machine learning and has been useful realistic applications. Quantum finite automata (QFA) are simple models of quantum computers with finite…

Quantum Physics · Physics 2023-11-14 Daowen Qiu

Weighted finite automata (WFA) can expressively model functions defined over strings but are inherently linear models. Given the recent successes of nonlinear models in machine learning, it is natural to wonder whether ex-tending WFA to the…

Formal Languages and Automata Theory · Computer Science 2017-12-22 Tianyu Li , Guillaume Rabusseau , Doina Precup

Traditional approaches to inference of deterministic finite-state automata (DFA) stem from symbolic AI, including both active learning methods (e.g., Angluin's L* algorithm and its variants) and passive techniques (e.g., Biermann and…

Formal Languages and Automata Theory · Computer Science 2025-10-21 Elaheh Hosseinkhani , Martin Leucker

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…

Formal Languages and Automata Theory · Computer Science 2026-03-27 Florian Frank , Stefan Milius , Jurriaan Rot , Henning Urbat

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…

Computational Complexity · Computer Science 2024-03-04 Jakub Michaliszyn , Jan Otop

Quantitative automata model beyond-boolean aspects of systems: every execution is mapped to a real number by incorporating weighted transitions and value functions that generalize acceptance conditions of boolean $\omega$-automata. Despite…

Formal Languages and Automata Theory · Computer Science 2025-01-28 Marek Chalupa , Thomas A. Henzinger , Nicolas Mazzocchi , N. Ege Saraç

A quantitative word automaton (QWA) defines a function from infinite words to values. For example, every infinite run of a limit-average QWA A obtains a mean payoff, and every word w is assigned the maximal mean payoff obtained by…

Formal Languages and Automata Theory · Computer Science 2026-03-31 Thomas A. Henzinger , Pavol Kebis , Nicolas Mazzocchi , N. Ege Saraç

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…

Formal Languages and Automata Theory · Computer Science 2023-02-03 Gerco van Heerdt , Tobias Kappé , Jurriaan Rot , Matteo Sammartino , Alexandra Silva

Automata learning is a successful tool for many application domains such as robotics and automatic verification. Typically, automata learning techniques operate in a supervised learning setting (active or passive) where they learn a finite…

Machine Learning · Computer Science 2025-08-25 Simon Lutz , Daniil Kaminskyi , Florian Wittbold , Simon Dierl , Falk Howar , Barbara König , Emmanuel Müller , Daniel Neider

Quadratic discriminant analysis (QDA) is a widely used classification technique that generalizes the linear discriminant analysis (LDA) classifier to the case of distinct covariance matrices among classes. For the QDA classifier to yield…

Machine Learning · Computer Science 2020-06-26 Houssem Sifaou , Abla Kammoun , Mohamed-Slim Alouini

We give a one-dimensional quantum cellular automaton (QCA) capable of simulating all others. By this we mean that the initial configuration and the local transition rule of any one-dimensional QCA can be encoded within the initial…

Quantum Physics · Physics 2008-12-10 Pablo Arrighi , Renan Fargetton , Zizhu Wang

Q-learning can be described as an all-purpose automaton that provides estimates (Q-values) of the continuation values associated with each available action and follows the naive policy of almost always choosing the action with highest…

Theoretical Economics · Economics 2025-05-29 Olivier Compte

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 introduce session automata, an automata model to process data words, i.e., words over an infinite alphabet. Session automata support the notion of fresh data values, which are well suited for modeling protocols in which sessions using…

Logic in Computer Science · Computer Science 2015-07-01 Benedikt Bollig , Peter Habermehl , Martin Leucker , Benjamin Monmege

This paper proposes a novel perspective on learning, positing it as the pursuit of dynamical invariants -- data combinations that remain constant or exhibit minimal change over time as a system evolves. This concept is underpinned by both…

Artificial Intelligence · Computer Science 2024-01-22 Alex Ushveridze

We introduce a machine-learning approach for identifying hidden structural features of open quantum dynamics under restricted experimental access. Unlike most existing data-driven methods which focus on detection or prediction of dynamical…

Quantum Physics · Physics 2026-04-02 Alexander Teretenkov , Sergey Kuznetsov , Alexander Pechen

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

Quantum computation based on quantum cellular automata (QCA) can greatly reduce the control and precision necessary for experimental implementations of quantum information processing. A QCA system consists of a few species of qubits in…

Quantum Physics · Physics 2009-11-10 Yaakov S. Weinstein , C. Stephen Hellberg
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