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What and Who

An Effective Heuristic for the Smallest Grammar Problem

Florian Benz
Fachrichtung Informatik - Saarbrücken
PhD Application Talk

Master's student
AG 1, AG 2, AG 3, AG 4, AG 5, SWS, RG1, MMCI  
Public Audience
English

Date, Time and Location

Monday, 25 February 2013
08:45
120 Minutes
E1 4
R024
Saarbrücken

Abstract

The smallest grammar problem is the problem of finding the smallest context-free grammar that generates exactly one given sequence. Approximating the problem with a ratio of less than 8569/8568 is known to be NP-hard. Most work on this problem has focused on finding decent solutions fast (mostly in linear time), rather than on good heuristic algorithms.
Inspired by a new perspective on the problem presented by Carrascosa et al. (2010), we investigate the performance of different heuristics on the problem. The aim is to find a good solution on large instances by allowing more than linear time. We propose a hybrid of a max-min ant system and a genetic algorithm that in combination with a novel local search outperforms the state of the art on all files of the Canterbury corpus, a standard benchmark suite. Furthermore, this hybrid performs well on a standard DNA corpus.

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IMPRS Office Team
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Tags, Category, Keywords and additional notes

Stephanie Jörg, 02/22/2013 11:58 -- Created document.