Minimizing deterministic weighted tree automata
نویسندگان
چکیده
منابع مشابه
Minimizing Deterministic Weighted Tree Automata
The problem of efficiently minimizing deterministic weighted tree automata (wta) is investigated. Such automata have found promising applications as language models in Natural Language Processing. A polynomial-time algorithm is presented that given a deterministic wta over a commutative semifield, of which all operations including the computation of the inverses are polynomial, constructs an eq...
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We present two algorithms for minimizing deterministic frontier-to-root tree automata (dfrtas) and compare them with their string counterparts. The presentation is incremental, starting out from definitions of minimality of automata and state equivalence, in the style of earlier algorithm taxonomies by the authors. The first algorithm is the classical one, initially presented by Brainerd in the...
متن کاملMinimizing Deterministic Weighted Tree AutomataI,II
Deterministic weighted tree automata (dwta) have found promising applications as language models in Natural Language Processing. It is known that dwta over commutative semifields can be effectively minimized. An efficient algorithm for minimizing them is presented. It is polynomial-time given that all operations of the semifield including the computation of the inverses are polynomial. More pre...
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Hyper-minimization is a state reduction technique that allows a finite change in the semantics. The theory for hyper-minimization of deterministic weighted tree automata is provided. The presence of weights slightly complicates the situation in comparison to the unweighted case. In addition, the first hyper-minimization algorithm for deterministic weighted tree automata, weighted over commutati...
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We define weighted tree-walking automata. We show that the class of tree series recognizable by weighted tree-walking automata over a commutative semiring K is a subclass of the class of regular tree series over K. If K is not a ring, then the inclusion is strict.
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ژورنال
عنوان ژورنال: Information and Computation
سال: 2009
ISSN: 0890-5401
DOI: 10.1016/j.ic.2009.01.004