Difference between revisions of "Jobs/M2 AD 2015 Symmetric Difference Automata"
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|Related project=Vaucanson |
|Related project=Vaucanson |
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|Advisor=Akim Demaille |
|Advisor=Akim Demaille |
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| − | |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 (e.g. rational 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 (e.g. rational expressions). |
The field 𝔽₂ is a particular interest, and shows quite a few unique properties, as demonstrated by the current active research under various names (e.g., "Symmetric Difference Automata"). |
The field 𝔽₂ is a particular interest, and shows quite a few unique properties, as demonstrated by the current active research under various names (e.g., "Symmetric Difference Automata"). |
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| − | Vcsn is a project led by Alexandre Duret-Lutz and Akim Demaille (LRDE). 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. Vcsn is an heir of the Vaucanson 2 project which was developed in partnership with Jacques Sakarovitch (Telecom ParisTech) and Sylvain Lombardy |
+ | Vcsn is a project led by Alexandre Duret-Lutz and Akim Demaille (LRDE). 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. Vcsn is an heir of the Vaucanson 2 project which was developed in partnership with Jacques Sakarovitch (Telecom ParisTech) and Sylvain Lombardy (LaBRI). |
| − | |Prerequisites= |
+ | |Prerequisites=* good programmer in some language |
| − | + | * acquaintance with C++ |
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| − | + | * facilities with theoretical matters |
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| − | |Objectives=The objective of this internship is exploit the existing features of Vcsn to apply them to 𝔽₂ in a first step, and then, in a second step, to use Vcsn as a tool to explore novel results. |
+ | |Objectives=The objective of this internship is to exploit the existing features of Vcsn to apply them to 𝔽₂ in a first step, and then, in a second step, to use Vcsn as a tool to explore novel results. |
|References=* [http://www.amazon.com/Elements-Automata-Theory-Jacques-Sakarovitch/dp/0521844258 Jacques Sakarovitch, “Elements of Automata Theory,” Cambridge University Press.] |
|References=* [http://www.amazon.com/Elements-Automata-Theory-Jacques-Sakarovitch/dp/0521844258 Jacques Sakarovitch, “Elements of Automata Theory,” Cambridge University Press.] |
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* [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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|Contact=<akim at lrde . epita . fr> |
|Contact=<akim at lrde . epita . fr> |
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|Compensation=1000 € gross/month |
|Compensation=1000 € gross/month |
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| − | |Future work opportunities=PhD thesis. |
+ | |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 |
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|Language=en |
|Language=en |
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Latest revision as of 16:13, 12 December 2014
| Symmetric Difference Automata | |
|---|---|
| Reference id |
M2 AD 2015 Symmetric Difference Automata |
| Dates |
5-6 months in 2015 |
| Research field |
Automata Theory |
| Related project | |
| Advisor | |
| 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 (e.g. rational expressions). The field 𝔽₂ is a particular interest, and shows quite a few unique properties, as demonstrated by the current active research under various names (e.g., "Symmetric Difference Automata"). Vcsn is a project led by Alexandre Duret-Lutz and Akim Demaille (LRDE). 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. Vcsn is an heir of the Vaucanson 2 project which was developed in partnership with Jacques Sakarovitch (Telecom ParisTech) and Sylvain Lombardy (LaBRI). |
| Prerequisites |
|
| Objectives |
The objective of this internship is to exploit the existing features of Vcsn to apply them to 𝔽₂ in a first step, and then, in a second step, to use Vcsn as a tool to explore novel results. |
| Benefit for the candidate | |
| References | |
| Place | LRDE: How to get to us |
| Compensation |
1000 € gross/month |
| Future work opportunities |
If you have performed the internship satisfactorily, we would like it to be followed by a PhD thesis. |
| Contact |