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We develop a learning algorithm for closed signal flow graphs - a graphical model of signal transducers. The algorithm relies on the correspondence between closed signal flow graphs and weighted finite automata on a singleton alphabet. We…

Logic in Computer Science · Computer Science 2024-07-02 Ekaterina Piotrovskaya , Leo Lobski , Fabio Zanasi

Search-optimization problems are plentiful in scientific and engineering domains. Artificial intelligence has long contributed to the development of search algorithms and declarative programming languages geared toward solving and modeling…

Artificial Intelligence · Computer Science 2023-03-22 Yuliya Lierler

Ensemble methods in machine learning aim to improve prediction accuracy by combining multiple models. This is achieved by ensuring diversity among predictors to capture different data aspects. Homogeneous ensembles use identical models,…

Quantum Physics · Physics 2025-11-04 Emiliano Tolotti , Enrico Blanzieri , Davide Pastorello

Nested words introduced by Alur and Madhusudan are used to capture structures with both linear and hierarchical order, e.g. XML documents, without losing valuable closure properties. Furthermore, Alur and Madhusudan introduced automata and…

Formal Languages and Automata Theory · Computer Science 2015-06-24 Manfred Droste , Stefan Dück

Models of complicated systems can be represented in different ways - in scientific papers, they are represented using natural language text as well as equations. But to be of real use, they must also be implemented as software, thus making…

In the classic problem of sequence prediction, a predictor receives a sequence of values from an emitter and tries to guess the next value before it appears. The predictor masters the emitter if there is a point after which all of the…

Formal Languages and Automata Theory · Computer Science 2016-03-09 Tim Smith

Weighted automata are nondeterministic automata with numerical weights on transitions. They can define quantitative languages $L$ that assign to each word $w$ a real number $L(w)$. In the case of infinite words, the value of a run is…

Logic in Computer Science · Computer Science 2009-05-15 Krishnendu Chatterjee , Laurent Doyen , Thomas A. Henzinger

We extend the L* algorithm to learn bimonoids recognising pomset languages. We then identify a class of pomset automata that accepts precisely the class of pomset languages recognised by bimonoids and show how to convert between bimonoids…

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

The paper discusses the capabilities of multilayer perceptron neural networks implementing metric recognition methods, for which the values of the weights are calculated analytically by formulas. Comparative experiments in training a neural…

Machine Learning · Computer Science 2025-06-02 Polad Geidarov

Weighted automata over the nonnegative reals form a fundamental model for quantitative languages. We show that, up to scaling, this model collapses to probabilistic automata. Concretely, we prove that every weighted automaton whose…

Formal Languages and Automata Theory · Computer Science 2026-03-02 Smayan Agarwal , Aalok Thakkar

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

Automated Machine Learning (AutoML) is an area of research that focuses on developing methods to generate machine learning models automatically. The idea of being able to build machine learning models with very little human intervention…

Machine Learning · Computer Science 2023-08-31 Hernan Ceferino Vazquez

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…

Formal Languages and Automata Theory · Computer Science 2024-07-16 Takamasa Okudono , Masaki Waga , Taro Sekiyama , Ichiro Hasuo

Objects or structures that are regular take uniform dimensions. Based on the concepts of regular models, our previous research work has developed a system of a regular ontology that models learning structures in a multiagent system for…

Artificial Intelligence · Computer Science 2016-04-11 Kennedy E. Ehimwenma , Paul Crowther , Martin Beer

Much as replacing hand-designed features with learned functions has revolutionized how we solve perceptual tasks, we believe learned algorithms will transform how we train models. In this work we focus on general-purpose learned optimizers…

Machine Learning · Computer Science 2020-09-24 Luke Metz , Niru Maheswaranathan , C. Daniel Freeman , Ben Poole , Jascha Sohl-Dickstein

We develop a theory of vector spaces spanned by orbit-finite sets. Using this theory, we give a decision procedure for equivalence of weighted register automata, which are the common generalization of weighted automata and register automata…

Formal Languages and Automata Theory · Computer Science 2024-08-07 Mikołaj Bojańczyk , Joanna Fijalkow , Bartek Klin , Joshua Moerman

The bandwidth of a timed language characterizes the quantity of information per time unit (with a finite observation precision $\varepsilon$). Obese timed automata have an unbounded frequency of events and produce information at the maximal…

Formal Languages and Automata Theory · Computer Science 2025-08-26 Eugene Asarin , Aldric Degorre , Catalin Dima , Bernardo Jacobo Inclán

We introduce a logic to express structural properties of automata with string inputs and, possibly, outputs in some monoid. In this logic, the set of predicates talking about the output values is parametric, and we provide sufficient…

Formal Languages and Automata Theory · Computer Science 2018-10-09 Emmanuel Filiot , Nicolas Mazzocchi , Jean-François Raskin

In a jumping finite automaton, the input head can jump to an arbitrary position within the remaining input after reading and consuming a symbol. We characterize the corresponding class of languages in terms of special shuffle expressions…

Formal Languages and Automata Theory · Computer Science 2015-12-03 Henning Fernau , Meenakshi Paramasivan , Markus L. Schmid , Vojtěch Vorel

We revisit the long-neglected problem of sequential circuit constructions from regular expressions. The class of languages that are recognized by sequential circuits is equivalent to the class of regular languages. This fact is shown in [5]…

Formal Languages and Automata Theory · Computer Science 2018-01-30 Dogan Ulus