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arXiv · 2411.06228

An $\mathbf{L^*}$ Algorithm for Deterministic Weighted Regular Languages

Clemente Pasti·Talu Karagöz·Anej Svete·Franz Nowak·Reda Boumasmoud·Ryan Cotterell
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Abstract

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.

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Clemente Pasti, Talu Karagöz, Anej Svete, Franz Nowak, Reda Boumasmoud, Ryan Cotterell. 2024-11-09. An $\mathbf{L^*}$ Algorithm for Deterministic Weighted Regular Languages. https://doi.org/10.18653/v1%2F2024.emnlp-main.468

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