Title
Finding the N best vertices in an infinite weighted hypergraph.
Abstract
We propose an algorithm for computing the N best vertices in a weighted acyclic hypergraph over a nice semiring. A semiring is nice if it is finitely-generated, idempotent, and has 1 as its minimal element. We then apply the algorithm to the problem of computing the N best trees with respect to a weighted tree automaton, and complement theoretical correctness and complexity arguments with experimental data. The algorithm has several practical applications in natural language processing, for example, to derive the N most likely parse trees with respect to a probabilistic context-free grammar.
Year
DOI
Venue
2017
10.1016/j.tcs.2017.03.010
Theoretical Computer Science
Keywords
Field
DocType
Hypergraph,N-best problem,Idempotent semiring
Discrete mathematics,Combinatorics,Vertex (geometry),Hypergraph,Idempotence,Mathematics,Semiring
Journal
Volume
ISSN
Citations 
682
0304-3975
0
PageRank 
References 
Authors
0.34
5
3
Name
Order
Citations
PageRank
Johanna Björklund156.23
Frank Drewes2266.10
Anna Jonsson300.34