Difference between revisions of "Jobs/M2 AD 2014 minimisation-automates"

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{{Job
 
{{Job
 
|Reference id=M2 AD 2014 minimisation-automates
 
|Reference id=M2 AD 2014 minimisation-automates
|Title=Minimisation d'automates
+
|Title=Minimization of automata
|Dates=5 - 6 mois en 2014
+
|Dates=5 - 6 months in 2014
|Research field=Automata
+
|Research field=Automata Theory
 
|Related project=Vaucanson
 
|Related project=Vaucanson
 
|Advisor=Akim Demaille
 
|Advisor=Akim Demaille
|General presentation of the field=La théorie classique des automates, des transducteurs et des expressions rationnelles, admet une extension très élégante et extrêmement utile (e.g., en traitement des langues naturelles) prenant en compte un concept de pondération. Les poids sont alors pris dans un semi-anneau, qu'il soit classique (⟨B,∨,∧⟩, ⟨Z,+,×⟩, ⟨Q,+,×⟩, etc.), tropical (⟨Z,min,+⟩, etc.), ou autre encore (par exemple des expressions
+
|General presentation of the field=The classical theory of automata, of transducers and of rational expressions, admits a very elegant and extremely useful extension (eg, in natural language processing) taking into account the concept of weighting. The weights are then taken in a semi-ring, which can be classical (⟨B, ∨, ∧⟩, ⟨Z, +, ×⟩, ⟨Q, +, ×⟩, etc..), tropical (⟨Z min, +⟩, etc..), or yet of another type (eg rational expressions).
  +
Vaucanson 2 is a project with financial aid from ANR (National Research Agency) developed in partnership between Telecom ParisTech (Jacques Sakarovitch), LaBRI (Sylvain Lombardy) and the LRDE (Alexandre Duret-Lutz and Akim Demaille). It is a platform for the manipulation of automata, transducers and weighted rational expressions. It is written in C++11 avoiding the classical object-oriented programming in favor of generic programming (template) for more performance.
rationnelles).
 
  +
|Objectives=The minimization of an automaton consists of its "optimization": it means building the smallest equivalent automaton. There are many algorithms for the minimization of automata, whose fields of application and performance vary. The task of the intern will be to implement some of these algorithms in Vaucanson 2, to optimize them, and to conduct a comparative study of their performance. These results will provide an adaptive approach that selects the algorithm to be applied depending on the profile of the automaton / transducer.
 
  +
|References=Some references
Vaucanson 2 est un projet ANR développé en partenariat entre Télécom ParisTech (Jacques Sakarovitch), le LaBRI (Sylvain Lombardy) et le LRDE (Alexandre Duret-Lutz et Akim Demaille). Il s'agit d'une plate-forme de manipulation des automates, transducteurs et expressions
 
rationnelles pondérés. Elle est écrite en C++11 en évitant la programmation orientée-objet classique, au profit de la programmation générique (\texttt{template}) pour les performances.
 
|Objectives=La minimisation d’un automate consiste à l’“optimiser” : construire le plus petit des automates équivalents. Il existe de nombreux algorithmes de minimisation d’automates, dont les domaines d’application et les performances varient.
 
Il s’agira d’implémenter dans Vaucanson 2 certains de ces algorithmes, de les optimiser, et de mener une étude comparative de leurs performances. Ces résultats permettront de proposer une approche adaptative, qui choisisse l’algorithme à appliquer en fonction du profil de l’automate/transducteur.
 
|References=Quelques références bibliographiques
 
 
* [http://www.amazon.com/Elements-Automata-Theory-Jacques-Sakarovitch/dp/0521844258 Jacques Sakarovitch, “Elements of Automata Theory,” Cambridge University Press.]
 
* [http://www.amazon.com/Elements-Automata-Theory-Jacques-Sakarovitch/dp/0521844258 Jacques Sakarovitch, “Elements of Automata Theory,” Cambridge University Press.]
 
* [http://publications.lrde.epita.fr/201307-CIAA Akim Demaille, Alexandre Duret-Lutz, Sylvain Lombardy, Jacques Sakarovitch. “Implementation Concepts in Vaucanson 2,” CIAA’13.]
 
* [http://publications.lrde.epita.fr/201307-CIAA Akim Demaille, Alexandre Duret-Lutz, Sylvain Lombardy, Jacques Sakarovitch. “Implementation Concepts in Vaucanson 2,” CIAA’13.]
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* [http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.140.8177 Marie-Pierre Béal, Maxime Crochemore, “Minimizing incomplete automata.”]
 
* [http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.140.8177 Marie-Pierre Béal, Maxime Crochemore, “Minimizing incomplete automata.”]
 
|Contact=<akim . demaille at lrde . epita . fr>
 
|Contact=<akim . demaille at lrde . epita . fr>
|Compensation=800 &euro; brut/mois
+
|Compensation=800€ euros gross/month
|Future work opportunities=Si le déroulement du stage est satisfaisant, nous souhaiterions qu'il soit suivi d'une thèse de doctorat.
+
|Future work opportunities=If you have performed the internship satisfactorily, we would like it to be followed by a PhD thesis.
 
|Type=Master Internship
 
|Type=Master Internship
  +
|Language=en
 
}}
 
}}

Latest revision as of 17:40, 29 October 2014

Minimization of automata
Reference id

M2 AD 2014 minimisation-automates

Dates

5 - 6 months in 2014

Research field

Automata Theory

Related project

Vaucanson

Advisor

Akim Demaille

General presentation of the field

The classical theory of automata, of transducers and of rational expressions, admits a very elegant and extremely useful extension (eg, in natural language processing) taking into account the concept of weighting. The weights are then taken in a semi-ring, which can be classical (⟨B, ∨, ∧⟩, ⟨Z, +, ×⟩, ⟨Q, +, ×⟩, etc..), tropical (⟨Z min, +⟩, etc..), or yet of another type (eg rational expressions). Vaucanson 2 is a project with financial aid from ANR (National Research Agency) developed in partnership between Telecom ParisTech (Jacques Sakarovitch), LaBRI (Sylvain Lombardy) and the LRDE (Alexandre Duret-Lutz and Akim Demaille). It is a platform for the manipulation of automata, transducers and weighted rational expressions. It is written in C++11 avoiding the classical object-oriented programming in favor of generic programming (template) for more performance.

Prerequisites
Objectives

The minimization of an automaton consists of its "optimization": it means building the smallest equivalent automaton. There are many algorithms for the minimization of automata, whose fields of application and performance vary. The task of the intern will be to implement some of these algorithms in Vaucanson 2, to optimize them, and to conduct a comparative study of their performance. These results will provide an adaptive approach that selects the algorithm to be applied depending on the profile of the automaton / transducer.

Benefit for the candidate
References

Some references

Place LRDE: How to get to us
Compensation

800€ euros gross/month

Future work opportunities

If you have performed the internship satisfactorily, we would like it to be followed by a PhD thesis.

Contact

<akim . demaille at lrde . epita . fr> <akim . demaille at lrde . epita . fr>