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Learning tree languages from positive examples and membership queries

Identifieur interne : 000615 ( PascalFrancis/Corpus ); précédent : 000614; suivant : 000616

Learning tree languages from positive examples and membership queries

Auteurs : Jérome Besombes ; Jean-Yves Marion

Source :

RBID : Pascal:04-0542613

Descripteurs français

English descriptors

Abstract

We investigate regular tree languages exact learning from positive examples and membership queries. Input data are trees of the language to infer. The learner computes new trees from the inputs and asks to the oracle whether or not they belong to the language. From the answers, the learner may ask further membership queries until he finds the correct grammar that generates the target language. This paradigm was introduced by Angluin in the seminal work [1] for the case of regular word language. Neither negative examples, equivalence queries nor counter examples are allowed in this paradigm. We describe an efficient algorithm which is polynomial in the size of the examples for learning the whole class of regular tree languages. The convergence is insured when the set of examples contains a representative sample of the language to guess. A finite subset ε of a regular tree language £ is representative for L if every transition of the minimal tree automaton for L is used at least once for the derivation of an element of the set ε.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

pA  
A01 01  1    @0 0302-9743
A05       @2 3244
A08 01  1  ENG  @1 Learning tree languages from positive examples and membership queries
A09 01  1  ENG  @1 ALT 2004 : algorithmic learning theory : Padova, 2-5 October 2004
A11 01  1    @1 BESOMBES (Jérome)
A11 02  1    @1 MARION (Jean-Yves)
A12 01  1    @1 BEN-DAVID (Shai) @9 ed.
A12 02  1    @1 CASE (John) @9 ed.
A12 03  1    @1 MARUOKA (Akira) @9 ed.
A14 01      @1 LORIA - INPL, Ecole Nationale Supérieure des Mines de Nancy, 615, rue du jardin botanique @2 54602 Villers-lès-Nancy @3 FRA @Z 1 aut. @Z 2 aut.
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A21       @1 2004
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A26 01      @0 3-540-23356-3
A43 01      @1 INIST @2 16343 @5 354000124353360320
A44       @0 0000 @1 © 2004 INIST-CNRS. All rights reserved.
A45       @0 23 ref.
A47 01  1    @0 04-0542613
A60       @1 P @2 C
A61       @0 A
A64 01  1    @0 Lecture notes in computer science
A66 01      @0 DEU
C01 01    ENG  @0 We investigate regular tree languages exact learning from positive examples and membership queries. Input data are trees of the language to infer. The learner computes new trees from the inputs and asks to the oracle whether or not they belong to the language. From the answers, the learner may ask further membership queries until he finds the correct grammar that generates the target language. This paradigm was introduced by Angluin in the seminal work [1] for the case of regular word language. Neither negative examples, equivalence queries nor counter examples are allowed in this paradigm. We describe an efficient algorithm which is polynomial in the size of the examples for learning the whole class of regular tree languages. The convergence is insured when the set of examples contains a representative sample of the language to guess. A finite subset ε of a regular tree language £ is representative for L if every transition of the minimal tree automaton for L is used at least once for the derivation of an element of the set ε.
C02 01  X    @0 001D02A05
C02 02  X    @0 001D02C02
C03 01  X  FRE  @0 Algorithme apprentissage @5 01
C03 01  X  ENG  @0 Learning algorithm @5 01
C03 01  X  SPA  @0 Algoritmo aprendizaje @5 01
C03 02  X  FRE  @0 Intelligence artificielle @5 02
C03 02  X  ENG  @0 Artificial intelligence @5 02
C03 02  X  SPA  @0 Inteligencia artificial @5 02
C03 03  X  FRE  @0 Interrogation base donnée @5 06
C03 03  X  ENG  @0 Database query @5 06
C03 03  X  SPA  @0 Interrogación base datos @5 06
C03 04  X  FRE  @0 Langage rationnel @5 07
C03 04  X  ENG  @0 Regular language @5 07
C03 04  X  SPA  @0 Lenguaje racional @5 07
C03 05  3  FRE  @0 Apprentissage à partir d'exemple @5 08
C03 05  3  ENG  @0 Learning by example @5 08
C03 06  X  FRE  @0 Classe langage @5 09
C03 06  X  ENG  @0 Language class @5 09
C03 06  X  SPA  @0 Clase lenguaje @5 09
C03 07  X  FRE  @0 Automate arbre @5 10
C03 07  X  ENG  @0 Tree automaton @5 10
C03 07  X  SPA  @0 Autómata árbol @5 10
C03 08  X  FRE  @0 Oracle @5 18
C03 08  X  ENG  @0 Oracle @5 18
C03 09  X  FRE  @0 Grammaire @5 19
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C03 09  X  SPA  @0 Gramática @5 19
C03 10  X  FRE  @0 Langue cible @5 20
C03 10  X  ENG  @0 Target language @5 20
C03 10  X  SPA  @0 Lengua blanco @5 20
C03 11  X  FRE  @0 Arbre minimal @5 21
C03 11  X  ENG  @0 Minimal tree @5 21
C03 11  X  SPA  @0 Arbol mínimo @5 21
C03 12  X  FRE  @0 Méthode polynomiale @5 23
C03 12  X  ENG  @0 Polynomial method @5 23
C03 12  X  SPA  @0 Método polinomial @5 23
C03 13  X  FRE  @0 Langage régulier @4 CD @5 96
C03 13  X  ENG  @0 Regular language @4 CD @5 96
C03 13  X  SPA  @0 Lenguaje regular @4 CD @5 96
N21       @1 306
N44 01      @1 OTO
N82       @1 OTO
pR  
A30 01  1  ENG  @1 International conference on algorithmic learning theory @2 15 @3 Padova ITA @4 2004-10-02

Format Inist (serveur)

NO : PASCAL 04-0542613 INIST
ET : Learning tree languages from positive examples and membership queries
AU : BESOMBES (Jérome); MARION (Jean-Yves); BEN-DAVID (Shai); CASE (John); MARUOKA (Akira)
AF : LORIA - INPL, Ecole Nationale Supérieure des Mines de Nancy, 615, rue du jardin botanique/54602 Villers-lès-Nancy/France (1 aut., 2 aut.)
DT : Publication en série; Congrès; Niveau analytique
SO : Lecture notes in computer science; ISSN 0302-9743; Allemagne; Da. 2004; Vol. 3244; Pp. 440-453; Bibl. 23 ref.
LA : Anglais
EA : We investigate regular tree languages exact learning from positive examples and membership queries. Input data are trees of the language to infer. The learner computes new trees from the inputs and asks to the oracle whether or not they belong to the language. From the answers, the learner may ask further membership queries until he finds the correct grammar that generates the target language. This paradigm was introduced by Angluin in the seminal work [1] for the case of regular word language. Neither negative examples, equivalence queries nor counter examples are allowed in this paradigm. We describe an efficient algorithm which is polynomial in the size of the examples for learning the whole class of regular tree languages. The convergence is insured when the set of examples contains a representative sample of the language to guess. A finite subset ε of a regular tree language £ is representative for L if every transition of the minimal tree automaton for L is used at least once for the derivation of an element of the set ε.
CC : 001D02A05; 001D02C02
FD : Algorithme apprentissage; Intelligence artificielle; Interrogation base donnée; Langage rationnel; Apprentissage à partir d'exemple; Classe langage; Automate arbre; Oracle; Grammaire; Langue cible; Arbre minimal; Méthode polynomiale; Langage régulier
ED : Learning algorithm; Artificial intelligence; Database query; Regular language; Learning by example; Language class; Tree automaton; Oracle; Grammar; Target language; Minimal tree; Polynomial method; Regular language
SD : Algoritmo aprendizaje; Inteligencia artificial; Interrogación base datos; Lenguaje racional; Clase lenguaje; Autómata árbol; Gramática; Lengua blanco; Arbol mínimo; Método polinomial; Lenguaje regular
LO : INIST-16343.354000124353360320
ID : 04-0542613

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Pascal:04-0542613

Le document en format XML

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<SO>Lecture notes in computer science; ISSN 0302-9743; Allemagne; Da. 2004; Vol. 3244; Pp. 440-453; Bibl. 23 ref.</SO>
<LA>Anglais</LA>
<EA>We investigate regular tree languages exact learning from positive examples and membership queries. Input data are trees of the language to infer. The learner computes new trees from the inputs and asks to the oracle whether or not they belong to the language. From the answers, the learner may ask further membership queries until he finds the correct grammar that generates the target language. This paradigm was introduced by Angluin in the seminal work [1] for the case of regular word language. Neither negative examples, equivalence queries nor counter examples are allowed in this paradigm. We describe an efficient algorithm which is polynomial in the size of the examples for learning the whole class of regular tree languages. The convergence is insured when the set of examples contains a representative sample of the language to guess. A finite subset ε of a regular tree language £ is representative for L if every transition of the minimal tree automaton for L is used at least once for the derivation of an element of the set ε.</EA>
<CC>001D02A05; 001D02C02</CC>
<FD>Algorithme apprentissage; Intelligence artificielle; Interrogation base donnée; Langage rationnel; Apprentissage à partir d'exemple; Classe langage; Automate arbre; Oracle; Grammaire; Langue cible; Arbre minimal; Méthode polynomiale; Langage régulier</FD>
<ED>Learning algorithm; Artificial intelligence; Database query; Regular language; Learning by example; Language class; Tree automaton; Oracle; Grammar; Target language; Minimal tree; Polynomial method; Regular language</ED>
<SD>Algoritmo aprendizaje; Inteligencia artificial; Interrogación base datos; Lenguaje racional; Clase lenguaje; Autómata árbol; Gramática; Lengua blanco; Arbol mínimo; Método polinomial; Lenguaje regular</SD>
<LO>INIST-16343.354000124353360320</LO>
<ID>04-0542613</ID>
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