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arXiv · 1702.08017

Bisimulation Metrics for Weighted Automata

Borja Balle·Pascale Gourdeau·Prakash Panangaden
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Abstract

We develop a new bisimulation (pseudo)metric for weighted finite automata (WFA) that generalizes Boreale's linear bisimulation relation. Our metrics are induced by seminorms on the state space of WFA. Our development is based on spectral properties of sets of linear operators. In particular, the joint spectral radius of the transition matrices of WFA plays a central role. We also study continuity properties of the bisimulation pseudometric, establish an undecidability result for computing the metric, and give a preliminary account of applications to spectral learning of weighted automata.

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Borja Balle, Pascale Gourdeau, Prakash Panangaden. 2017-02-26. Bisimulation Metrics for Weighted Automata. https://arxiv.org/abs/1702.08017

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