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Parsing and hypergraphs
 In IWPT
, 2001
"... While symbolic parsers can be viewed as deduction systems, this view is less natural for probabilistic parsers. We present a view of parsing as directed hypergraph analysis which naturally covers both symbolic and probabilistic parsing. We illustrate the approach by showing how a dynamic extension o ..."
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Cited by 56 (3 self)
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While symbolic parsers can be viewed as deduction systems, this view is less natural for probabilistic parsers. We present a view of parsing as directed hypergraph analysis which naturally covers both symbolic and probabilistic parsing. We illustrate the approach by showing how a dynamic extension of Dijkstra’s algorithm can be used to construct a probabilistic chart parser with an Ç Ò time bound for arbitrary PCFGs, while preserving as much of the flexibility of symbolic chart parsers as allowed by the inherent ordering of probabilistic dependencies. 1
Linear Connectivity Problems in Directed Hypergraphs
"... We introduce a notion of hyperconnection (formally denoted Lhyperpath) between nodes in a directed hypergraph and relate this notion to existing notions of hyperpaths in directed hypergraphs. We show that some interesting questions in problem domains such as secret transfer protocols and routing in ..."
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Cited by 3 (0 self)
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We introduce a notion of hyperconnection (formally denoted Lhyperpath) between nodes in a directed hypergraph and relate this notion to existing notions of hyperpaths in directed hypergraphs. We show that some interesting questions in problem domains such as secret transfer protocols and routing in packet filtered networks are basically questions about the existence of Lhyperpaths in directed hypergraphs. We study the computational complexity of problems related to Lhyperpaths and the Lcyclomatic number of directed hypergraphs (the minimum number of hyperedges that need to be deleted to make a directed hypergraph free of Lhypercycles). We prove that the Lhyperpath existence problem, the Lcyclomatic number problem, the minimum Lcyclomatic set problem, and the minimal Lcyclomatic, Πp, and DP, respectively. set problem are each complete for the complexity class NP, Σ p 2 1
A remark on the definition of a Bhyperpath
, 2001
"... In this note we show that a commonly used definition of a hyperpath in a directed hypergraph is not correct. This is done by presenting a counterexample which fulfils the definition but is not a hyperpath. Keywords: Directed hypergraphs, hyperpaths, Bpaths. 1 ..."
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Cited by 1 (0 self)
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In this note we show that a commonly used definition of a hyperpath in a directed hypergraph is not correct. This is done by presenting a counterexample which fulfils the definition but is not a hyperpath. Keywords: Directed hypergraphs, hyperpaths, Bpaths. 1
Isomorphism on Intuitionistic Fuzzy Directed
"... Abstract Directed hypergraphs are much like standard directed graphs. In intuitionistic fuzzy directed hypergraphs, like directed graphs, standard arcs connect a single tail node to a single head node, hyperarcs connect a set of tail nodes to a set of head nodes. In this paper, the isomorphism betw ..."
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Abstract Directed hypergraphs are much like standard directed graphs. In intuitionistic fuzzy directed hypergraphs, like directed graphs, standard arcs connect a single tail node to a single head node, hyperarcs connect a set of tail nodes to a set of head nodes. In this paper, the isomorphism between two intuitionistic fuzzy directed hypergraphs is discussed. The condition for two intuitionistic fuzzy directed hypergraphs is isomorphic also discussed and some of its properties are also analyzed. Index Terms Intuitionistic fuzzy hypergraph(IFHG), intuitionistic fuzzy directed hypergraph, isomorphism, weak isomorphism, coweak isomorphism T I.
Modeling Collaborative Referring for Situated Referential Grounding
"... In situated dialogue, because humans and agents have mismatched capabilities of perceiving the shared physical world, referential grounding becomes difficult. Humans and agents will need to make extra efforts by collaborating with each other to mediate a shared perceptual basis and to come to a mutu ..."
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In situated dialogue, because humans and agents have mismatched capabilities of perceiving the shared physical world, referential grounding becomes difficult. Humans and agents will need to make extra efforts by collaborating with each other to mediate a shared perceptual basis and to come to a mutual understanding of intended referents in the environment. In this paper, we have extended our previous graphmatching based approach to explicitly incorporate collaborative referring behaviors into the referential grounding algorithm. In addition, hypergraphbased representations have been used to account for group descriptions that are likely to occur in spatial communications. Our empirical results have shown that incorporating the most prevalent pattern of collaboration with our hypergraphbased approach significantly improves reference resolution in situated dialogue by an absolute gain of over 18%. 1