Computer Science > Formal Languages and Automata Theory
[Submitted on 16 Nov 2017 (v1), last revised 27 May 2019 (this version, v2)]
Title:Singular value automata and approximate minimization
View PDFAbstract:The present paper uses spectral theory of linear operators to construct approximately minimal realizations of weighted languages. Our new contributions are: (i) a new algorithm for the SVD decomposition of infinite Hankel matrices based on their representation in terms of weighted automata, (ii) a new canonical form for weighted automata arising from the SVD of its corresponding Hankel matrix and (iii) an algorithm to construct approximate minimizations of given weighted automata by truncating the canonical form. We give bounds on the quality of our approximation.
Submission history
From: Borja Balle [view email][v1] Thu, 16 Nov 2017 09:17:24 UTC (57 KB)
[v2] Mon, 27 May 2019 14:19:21 UTC (42 KB)
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