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Learning Automata

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  1. 1.

    Stefano Varricchio: deceased

Recommended Reading

  1. Angluin D (1987) Learning regular sets from queries and counterexamples. Inf Comput 75:87–106

    Article  MathSciNet  MATH  Google Scholar 

  2. Angluin D (1988) Queries and concept learning. Mach Learn 2(4):319–342

    Google Scholar 

  3. Beimel A, Bergadano F, Bshouty NH, Kushilevitz E, Varricchio S (1996) On the applications of multiplicity automata in learning. In: Proceedings of the 37th annual IEEE symposium on foundations of computer science, Burlington, Vermont, USA. IEEE Computer Society, Los Alamitos, pp 349–358

    Google Scholar 

  4. Beimel A, Bergadano F, Bshouty NH, Kushilevitz E, Varricchio S (2000) Learning functions represented as multiplicity automata. J ACM 47:506–530

    Article  MathSciNet  MATH  Google Scholar 

  5. Beimel A, Kushilevitz E (1997) Learning boxes in high dimension. In: Ben-David S (ed) 3rd European conference on computational learning theory (EuroCOLT ’97), Jerusalem, Israel. Lecture notes in artificial intelligence, vol 1208. Springer, Berlin, pp 3–15. Journal version: Algorithmica 22:76–90 (1998)

    MathSciNet  Google Scholar 

  6. Bergadano F, Catalano D, Varricchio S (1996) Learning sat-k-DNF formulas from membership queries. In: Proceedings of the 28th annual ACM symposium on the theory of computing, Philadelphia, Pennsylvania, USA. ACM, New York, pp 126–130

    Google Scholar 

  7. Bergadano F, Varricchio S (1994) Learning behaviors of automata from multiplicity and equivalence queries. In: Proceedings of 2nd Italian conference on algorithms and complexity, Rome, Italy. Lecture notes in computer science, vol 778. Springer, Berlin, pp 54–62. Journal version: SIAM J Comput 25(6):1268–1280 (1996)

    Google Scholar 

  8. Bergadano F, Varricchio S (1996) Learning behaviors of automata from shortest counterexamples. In: EuroCOLT ’95, Barcelona, Spain. Lecture notes in artificial intelligence, vol 904. Springer, Berlin, pp 380–391

    Google Scholar 

  9. Bisht L, Bshouty NH, Mazzawi H (2006) On optimal learning algorithms for multiplicity automata. In: Proceedings of 19th annual ACM conference on computational learning theory, Pittsburgh, Pennsylvania, USA. Lecture notes in computer science, vol 4005. Springer, Berlin, pp 184–198

    Google Scholar 

  10. Blum A, Khardon R, Kushilevitz E, Pitt L, Roth D (1994) On learning read-k-satisfy-j DNF. In: Proceedings of the 7th annual ACM conference on computational learning theory, New Brunswick, New Jersey, USA. ACM, New York, pp 110–117

    Google Scholar 

  11. Bshouty NH (1993) Exact learning via the monotone theory. In: Proceedings of the 34th annual IEEE symposium on foundations of computer science, Palo Alto, California, USA. IEEE Computer Society, Los Alamitos, pp 302–311. Journal version: Inf Comput 123(1):146–153 (1995)

    Google Scholar 

  12. Bshouty NH (1995) Simple learning algorithms using divide and conquer. In: Proceedings of 8th annual ACM conference on computational learning theory, Santa Cruz, California, USA. ACM, New York, pp 447–453. Journal version: Comput Complex 6:174–194 (1997)

    Google Scholar 

  13. Bshouty NH, Tamon C, Wilson DK (1998) Learning matrix functions over rings. Algorithmica 22(1/2):91–111

    Article  MathSciNet  MATH  Google Scholar 

  14. Kushilevitz E (1996) A simple algorithm for learning \(O(\log n)\)-term DNF. In: Proceedings of 9th annual ACM conference on computational learning theory, Desenzano del Garda, Italy. ACM, New York, pp 266–269. Journal version: Inf Process Lett 61(6):289–292 (1997)

    Google Scholar 

  15. Kushilevitz E, Mansour Y (1993) Learning decision trees using the fourier spectrum. SIAM J Comput 22(6):1331–1348

    Article  MathSciNet  MATH  Google Scholar 

  16. Melideo G, Varricchio S (1998) Learning unary output two-tape automata from multiplicity and equivalence queries. In: ALT ’98, Otzenhausen, Germany. Lecture notes in computer science, vol 1501. Springer, Berlin, pp 87–102

    Google Scholar 

  17. Ohnishi H, Seki H, Kasami T (1994) A polynomial time learning algorithm for recognizable series. IEICE Trans Inf Syst E77-D(10)(5):1077–1085

    Google Scholar 

  18. Schapire RE, Sellie LM (1996) Learning sparse multivariate polynomials over a field with queries and counterexamples. J Comput Syst Sci 52(2):201–213

    Article  MathSciNet  MATH  Google Scholar 

  19. Valiant LG (1984) A theory of the learnable. Commun ACM 27(11):1134–1142

    Article  MATH  Google Scholar 

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Varricchio, S. (2016). Learning Automata. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2864-4_194

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