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Angluin's L* algorithm learns the minimal (complete) deterministic finite automaton (DFA) of a regular language using membership and equivalence queries. Its probabilistic approximatively correct (PAC) version substitutes an equivalence…

形式语言与自动机理论 · 计算机科学 2022-09-22 Igor Khmelnitsky , Serge Haddad , Lina Ye , Benoît Barbot , Benedikt Bollig , Martin Leucker , Daniel Neider , Rajarshi Roy

A DFA separates two disjoint languages $L_1$ and $L_2$ if it accepts every word in $L_1$ and rejects every word in $L_2$. Algorithms for active learning of small separating DFAs have many applications, e.g., for learning network invariants,…

形式语言与自动机理论 · 计算机科学 2026-05-18 Jasper Laumen , Leonne Snel , Frits Vaandrager

Automata learning techniques automatically generate system models from test observations. These techniques usually fall into two categories: passive and active. Passive learning uses a predetermined data set, e.g., system logs. In contrast,…

机器学习 · 计算机科学 2019-07-01 Martin Tappler , Bernhard K. Aichernig , Giovanni Bacci , Maria Eichlseder , Kim G. Larsen

Learning automata by queries is a long-studied area initiated by Angluin in 1987 with the introduction of the $L^*$ algorithm to learn regular languages, with a large body of work afterwards on many different variations and generalizations…

形式语言与自动机理论 · 计算机科学 2024-09-18 Kevin Zhou

Extracting finite state automata (FSAs) from black-box models offers a powerful approach to gaining interpretable insights into complex model behaviors. To support this pursuit, we present a weighted variant of Angluin's (1987)…

计算与语言 · 计算机科学 2024-12-20 Clemente Pasti , Talu Karagöz , Anej Svete , Franz Nowak , Reda Boumasmoud , Ryan Cotterell

Speculative data-parallel algorithms for language recognition have been widely experimented for various types of finite-state automata (FA), deterministic (DFA) and nondeterministic (NFA), often derived from regular expressions (RE). Such…

分布式、并行与集群计算 · 计算机科学 2025-01-13 Angelo Borsotti , Luca Breveglieri , Stefano Crespi Reghizzi , Angelo Morzenti

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

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

In this work, we introduce DeepDFA, a novel approach to identifying Deterministic Finite Automata (DFAs) from traces, harnessing a differentiable yet discrete model. Inspired by both the probabilistic relaxation of DFAs and Recurrent Neural…

机器学习 · 计算机科学 2024-08-19 Elena Umili , Roberto Capobianco

We investigate a learning algorithm in the context of nominal automata, an extension of classical automata to alphabets featuring names. This class of automata captures nominal regular languages; analogously to the classical language…

形式语言与自动机理论 · 计算机科学 2019-09-16 Yi Xiao , Emilio Tuosto

We give a new proof of a result from well quasi-order theory on the computability of bases for upwards-closed sets of words. This new proof is based on Angluin's L* algorithm, that learns an automaton from a minimally adequate teacher. This…

形式语言与自动机理论 · 计算机科学 2025-07-30 Quentin Aristote

The matched filter (MF) is widely used to detect signals hidden within the noise. If the noise is Gaussian, its performances are well-known and describable in an elegant analytical form. The treatment of non-Gaussian noises is often…

天体物理仪器与方法 · 物理学 2018-08-08 Roberto Vio , Paola Andreani

Factor analysis (FA) or principal component analysis (PCA) models the covariance matrix of the observed data as R = SS' + {\Sigma}, where SS' is the low-rank covariance matrix of the factors (aka latent variables) and {\Sigma} is the…

统计方法学 · 统计学 2023-05-31 Petre Stoica , Prabhu Babu

Finite automata (FA) are a fundamental computational abstraction that is widely used in practice for various tasks in computer science, linguistics, biology, electrical engineering, and artificial intelligence. Given an input word, an FA…

人工智能 · 计算机科学 2026-04-22 Jaime Cuartas Granada , Alexey Ignatiev , Peter J. Stuckey

We present an algorithm for extraction of a probabilistic deterministic finite automaton (PDFA) from a given black-box language model, such as a recurrent neural network (RNN). The algorithm is a variant of the exact-learning algorithm L*,…

机器学习 · 计算机科学 2020-01-01 Gail Weiss , Yoav Goldberg , Eran Yahav

We analyzed the performance of a biologically inspired algorithm called the Corrected Projections Algorithm (CPA) when a sparseness constraint is required to unambiguously reconstruct an observed signal using atoms from an overcomplete…

数值分析 · 计算机科学 2017-03-24 Gonzalo H Otazu

Several new algorithms for deciding emptiness of Boolean combinations of regular languages and of languages of alternating automata (AFA) have been proposed recently, especially in the context of analysing regular expressions and in string…

形式语言与自动机理论 · 计算机科学 2023-04-12 Tomáš Fiedor , Lukáš Holík , Martin Hruška , Adam Rogalewicz , Juraj Síč , Pavol Vargovčík

The emergence of intelligence in large language models (LLMs) has inspired investigations into their integration into automata learning. This paper introduces the probabilistic Minimally Adequate Teacher (pMAT) formulation, which leverages…

形式语言与自动机理论 · 计算机科学 2024-08-07 Lekai Chen , Ashutosh Trivedi , Alvaro Velasquez

We present a new algorithm IDS for incremental learning of deterministic finite automata (DFA). This algorithm is based on the concept of distinguishing sequences introduced in (Angluin81). We give a rigorous proof that two versions of this…

机器学习 · 计算机科学 2012-06-14 Muddassar A. Sindhu , Karl Meinke

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
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