Matches in SemOpenAlex for { <https://semopenalex.org/work/W2739492694> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W2739492694 startingPage "15" @default.
- W2739492694 abstract "In 1975, a breakthrough result of L. Valiant showed that parsing context free grammars can be reduced to Boolean matrix multiplication, resulting in a running time of O(n^omega) for parsing where omega <= 2.373 is the exponent of fast matrix multiplication, and n is the string length. Recently, Abboud, Backurs and V. Williams (FOCS 2015) demonstrated that this is likely optimal; moreover, a combinatorial o(n^3) algorithm is unlikely to exist for the general parsing problem. The language edit distance problem is a significant generalization of the parsing problem, which computes the minimum edit distance of a given string (using insertions, deletions, and substitutions) to any valid string in the language, and has received significant attention both in theory and practice since the seminal work of Aho and Peterson in 1972. Clearly, the lower bound for parsing rules out any algorithm running in o(n^omega) time that can return a nontrivial multiplicative approximation of the language edit distance problem. Furthermore, combinatorial algorithms with cubic running time or algorithms that use fast matrix multiplication are often not desirable in practice. To break this n^omega hardness barrier, in this paper we study additive approximation algorithms for language edit distance. We provide two explicit combinatorial algorithms to obtain a string with minimum edit distance with performance dependencies on either the number of non-linear productions, k^*, or the number of nested non-linear production, k, used in the optimal derivation. Explicitly, we give an additive O(k^*gamma) approximation in time O(|G|(n^2 + (n/gamma)^3)) and an additive O(k gamma) approximation in time O(|G|(n^2 + (n^3/gamma^2))), where |G| is the grammar size and n is the string length. In particular, we obtain tight approximations for an important subclass of context free grammars known as ultralinear grammars, for which k and k^* are naturally bounded. Interestingly, we show that the same conditional lower bound for parsing context free grammars holds for the class of ultralinear grammars as well, clearly marking the boundary where parsing becomes hard!" @default.
- W2739492694 created "2017-08-08" @default.
- W2739492694 creator A5048454802 @default.
- W2739492694 creator A5073278712 @default.
- W2739492694 date "2017-01-01" @default.
- W2739492694 modified "2023-09-23" @default.
- W2739492694 title "Approximating Language Edit Distance Beyond Fast Matrix Multiplication: Ultralinear Grammars Are Where Parsing Becomes Hard!" @default.
- W2739492694 doi "https://doi.org/10.4230/lipics.icalp.2017.19" @default.
- W2739492694 hasPublicationYear "2017" @default.
- W2739492694 type Work @default.
- W2739492694 sameAs 2739492694 @default.
- W2739492694 citedByCount "4" @default.
- W2739492694 countsByYear W27394926942020 @default.
- W2739492694 countsByYear W27394926942022 @default.
- W2739492694 crossrefType "proceedings-article" @default.
- W2739492694 hasAuthorship W2739492694A5048454802 @default.
- W2739492694 hasAuthorship W2739492694A5073278712 @default.
- W2739492694 hasConcept C106487976 @default.
- W2739492694 hasConcept C11413529 @default.
- W2739492694 hasConcept C114614502 @default.
- W2739492694 hasConcept C118615104 @default.
- W2739492694 hasConcept C121332964 @default.
- W2739492694 hasConcept C134306372 @default.
- W2739492694 hasConcept C154945302 @default.
- W2739492694 hasConcept C157486923 @default.
- W2739492694 hasConcept C159985019 @default.
- W2739492694 hasConcept C17349429 @default.
- W2739492694 hasConcept C186644900 @default.
- W2739492694 hasConcept C192562407 @default.
- W2739492694 hasConcept C2780595030 @default.
- W2739492694 hasConcept C311688 @default.
- W2739492694 hasConcept C33923547 @default.
- W2739492694 hasConcept C37914503 @default.
- W2739492694 hasConcept C41008148 @default.
- W2739492694 hasConcept C42747912 @default.
- W2739492694 hasConcept C44359876 @default.
- W2739492694 hasConcept C62520636 @default.
- W2739492694 hasConcept C84114770 @default.
- W2739492694 hasConceptScore W2739492694C106487976 @default.
- W2739492694 hasConceptScore W2739492694C11413529 @default.
- W2739492694 hasConceptScore W2739492694C114614502 @default.
- W2739492694 hasConceptScore W2739492694C118615104 @default.
- W2739492694 hasConceptScore W2739492694C121332964 @default.
- W2739492694 hasConceptScore W2739492694C134306372 @default.
- W2739492694 hasConceptScore W2739492694C154945302 @default.
- W2739492694 hasConceptScore W2739492694C157486923 @default.
- W2739492694 hasConceptScore W2739492694C159985019 @default.
- W2739492694 hasConceptScore W2739492694C17349429 @default.
- W2739492694 hasConceptScore W2739492694C186644900 @default.
- W2739492694 hasConceptScore W2739492694C192562407 @default.
- W2739492694 hasConceptScore W2739492694C2780595030 @default.
- W2739492694 hasConceptScore W2739492694C311688 @default.
- W2739492694 hasConceptScore W2739492694C33923547 @default.
- W2739492694 hasConceptScore W2739492694C37914503 @default.
- W2739492694 hasConceptScore W2739492694C41008148 @default.
- W2739492694 hasConceptScore W2739492694C42747912 @default.
- W2739492694 hasConceptScore W2739492694C44359876 @default.
- W2739492694 hasConceptScore W2739492694C62520636 @default.
- W2739492694 hasConceptScore W2739492694C84114770 @default.
- W2739492694 hasLocation W27394926941 @default.
- W2739492694 hasOpenAccess W2739492694 @default.
- W2739492694 hasPrimaryLocation W27394926941 @default.
- W2739492694 hasRelatedWork W1699132431 @default.
- W2739492694 hasRelatedWork W1857212320 @default.
- W2739492694 hasRelatedWork W1974708980 @default.
- W2739492694 hasRelatedWork W1979254690 @default.
- W2739492694 hasRelatedWork W1982801224 @default.
- W2739492694 hasRelatedWork W2072341142 @default.
- W2739492694 hasRelatedWork W2083951446 @default.
- W2739492694 hasRelatedWork W2884311720 @default.
- W2739492694 hasRelatedWork W2946898954 @default.
- W2739492694 hasRelatedWork W2952758584 @default.
- W2739492694 hasRelatedWork W2952965188 @default.
- W2739492694 hasRelatedWork W2953890428 @default.
- W2739492694 hasRelatedWork W2964005947 @default.
- W2739492694 hasRelatedWork W2972156826 @default.
- W2739492694 hasRelatedWork W3002117425 @default.
- W2739492694 hasRelatedWork W3090910965 @default.
- W2739492694 hasRelatedWork W3173483591 @default.
- W2739492694 hasRelatedWork W3181597589 @default.
- W2739492694 hasRelatedWork W3197934158 @default.
- W2739492694 hasRelatedWork W2827700793 @default.
- W2739492694 isParatext "false" @default.
- W2739492694 isRetracted "false" @default.
- W2739492694 magId "2739492694" @default.
- W2739492694 workType "article" @default.