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Main Authors: Pasti, Clemente, Karagöz, Talu, Svete, Anej, Nowak, Franz, Boumasmoud, Reda, Cotterell, Ryan
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2411.06228
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author Pasti, Clemente
Karagöz, Talu
Svete, Anej
Nowak, Franz
Boumasmoud, Reda
Cotterell, Ryan
author_facet Pasti, Clemente
Karagöz, Talu
Svete, Anej
Nowak, Franz
Boumasmoud, Reda
Cotterell, Ryan
contents 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) $\mathbf{L^*}$ algorithm for learning FSAs. We stay faithful to the original algorithm, devising a way to exactly learn deterministic weighted FSAs whose weights support division. Furthermore, we formulate the learning process in a manner that highlights the connection with FSA minimization, showing how $\mathbf{L^*}$ directly learns a minimal automaton for the target language.
format Preprint
id arxiv_https___arxiv_org_abs_2411_06228
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An $\mathbf{L^*}$ Algorithm for Deterministic Weighted Regular Languages
Pasti, Clemente
Karagöz, Talu
Svete, Anej
Nowak, Franz
Boumasmoud, Reda
Cotterell, Ryan
Computation and Language
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) $\mathbf{L^*}$ algorithm for learning FSAs. We stay faithful to the original algorithm, devising a way to exactly learn deterministic weighted FSAs whose weights support division. Furthermore, we formulate the learning process in a manner that highlights the connection with FSA minimization, showing how $\mathbf{L^*}$ directly learns a minimal automaton for the target language.
title An $\mathbf{L^*}$ Algorithm for Deterministic Weighted Regular Languages
topic Computation and Language
url https://arxiv.org/abs/2411.06228