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We propose to study value automata with filters, a natural generalization of regular cost automata to nondeterminism. Models such as weighted automata and Parikh automata appear naturally as specializations. Results on the expressiveness of…

Formal Languages and Automata Theory · Computer Science 2015-10-09 Michaël Cadilhac , Andreas Krebs , Nutan Limaye

We examine the characteristic features of reversible and quantum computations in the presence of supplementary external information, known as advice. In particular, we present a simple, algebraic characterization of languages recognized by…

Quantum Physics · Physics 2015-08-25 Tomoyuki Yamakami

Hoare-style verification provides a principled foundation for reasoning about the correctness of quantum programs, but existing approaches do not allow fully automatic verification. While automata-based verification scales well when…

Logic in Computer Science · Computer Science 2026-05-08 Wei-Lun Tsai , Yu-Fang Chen , Ondřej Lengál

Variable importance is one of the most widely used measures for interpreting machine learning with significant interest from both statistics and machine learning communities. Recently, increasing attention has been directed toward…

Machine Learning · Statistics 2025-12-22 Xiaohan Wang , Yunzhe Zhou , Giles Hooker

Recent progress in deterministic prompt learning has become a promising alternative to various downstream vision tasks, enabling models to learn powerful visual representations with the help of pre-trained vision-language models. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Hyeongjun Kwon , Taeyong Song , Somi Jeong , Jin Kim , Jinhyun Jang , Kwanghoon Sohn

Reversible weighted automata are introduced and considered in a specific setting where the weights are taken from a nontrivial locally finite commutative ring such as a finite field. It is shown that the supports of series realised by such…

Formal Languages and Automata Theory · Computer Science 2026-01-15 Peter Kostolányi , Andrej Ravinger

Linguistic variables represent crisp information in a form and precision appropriate for the problem. For example, to answer the question "How are you?" one may say "I am fine." the linguistic variables like "fine", so common in everyday…

Formal Languages and Automata Theory · Computer Science 2011-12-16 Supriya Raheja , Reena Dhadich , Smita Rajpal

We introduce a composition-weighted symbolic regression framework for interpretable prediction of materials properties directly from chemical composition. The method jointly learns analytical functional forms and task-dependent elemental…

Materials Science · Physics 2026-05-05 Yang Huang , Jingrun Chen

Let $\mathcal{P}(\Sigma^*)$ be the semiring of languages, and consider its subset $\mathcal{P}(\Sigma)$. In this paper we define the language recognized by a weighted automaton over $\mathcal{P}(\Sigma)$ and a one-letter alphabet.…

Formal Languages and Automata Theory · Computer Science 2010-07-27 Edoardo Carta-Gerardino , Parisa Babaali

In this paper we deal with three models of weighted automata that take weights in the field of real numbers. The first of these models are classical weighted finite automata, the second one are crisp-deterministic weighted automata, and the…

Formal Languages and Automata Theory · Computer Science 2023-09-07 Nada Damljanović , Miroslav Ćirić , Jelena Ignjatović

We propose deterministic timed automata (DTA) as a model-independent language for specifying performance and dependability measures over continuous-time stochastic processes. Technically, these measures are defined as limit frequencies of…

Systems and Control · Computer Science 2015-03-17 Tomáš Brázdil , Jan Krčál , Jan Křetínský , Antonín Kučera , Vojtěch Řehák

Specification theories as a tool in model-driven development processes of component-based software systems have recently attracted a considerable attention. Current specification theories are however qualitative in nature, and therefore…

Logic in Computer Science · Computer Science 2012-10-23 Sebastian S. Bauer , Uli Fahrenberg , Line Juhl , Kim G. Larsen , Axel Legay , Claus Thrane

We study the determinisation and unambiguisation problems of weighted automata over the rational field: Given a weighted automaton, can we determine whether there exists an equivalent deterministic, respectively unambiguous, weighted…

Formal Languages and Automata Theory · Computer Science 2025-05-28 Ismaël Jecker , Filip Mazowiecki , David Purser

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…

Formal Languages and Automata Theory · Computer Science 2025-10-14 Quentin Aristote , Sam van Gool , Daniela Petrişan , Mahsa Shirmohammadi

We introduce a weight assignment logic for reasoning about quantitative languages of infinite words. This logic is an extension of the classical MSO logic and permits to describe quantitative properties of systems with multiple weight…

Formal Languages and Automata Theory · Computer Science 2015-08-26 Vitaly Perevoshchikov

A large number of different model checking approaches has been proposed during the last decade. The different approaches are applicable to different model types including untimed, timed, probabilistic and stochastic models. This paper…

Logic in Computer Science · Computer Science 2007-05-23 Peter Buchholz , Peter Kemper

PAWS is a tool to analyse the behaviour of weighted automata and conditional transition systems. At its core PAWS is based on a generic implementation of algorithms for checking language equivalence in weighted automata and bisimulation in…

Formal Languages and Automata Theory · Computer Science 2017-07-14 Barbara König , Sebastian Küpper , Christina Mika

In this paper, we introduce a novel interpreting framework that learns an interpretable model based on an ontology-based sampling technique to explain agnostic prediction models. Different from existing approaches, our algorithm considers…

Machine Learning · Computer Science 2020-04-02 Phung Lai , NhatHai Phan , Han Hu , Anuja Badeti , David Newman , Dejing Dou

Weighted association rule mining reflects semantic significance of item by considering its weight. Classification constructs the classifier and predicts the new data instance. This paper proposes compact weighted class association rule…

Databases · Computer Science 2011-12-12 S. P. Syed Ibrahim , K. R. Chandran

Learning the parameters of a (potentially partially observable) random field model is intractable in general. Instead of focussing on a single optimal parameter value we propose to treat parameters as dynamical quantities. We introduce an…

Machine Learning · Computer Science 2012-05-14 Max Welling