Characterizing statistical query learning: Simplified notions and proofs

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5809 LNAI, Issue , 2009, Pages 186-200

  Szörényi, Balázs ^a,b  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b UNIVERSITY OF SZEGED   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

CONCEPT CLASS; CONSISTENT ALGORITHM; LEARNABILITY; SIMPLE APPROACH; STATISTICAL QUERIES; STATISTICAL QUERY MODELS; TARGET CONCEPT; UNIFORM DISTRIBUTION;

EQUIVALENCE CLASSES;

LEARNING ALGORITHMS;

EID: 77952015400     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-04414-4_18     Document Type: Conference Paper

References (12)

1. Aslam, J.A., Decatur, S.E.: General bounds on statistical query learning and PAC learning with noise via hypothesis boosting. Inf. Comput. 141(2), 85-118 (1998)
2. Ben-David, S., Itai, A., Kushilevitz, E.: Learning by distances. Inform. Comput. 117(2), 240-250 (1995)
3. Blum, A., Furst, M., Jackson, J., Kearns, M., Mansour, Y., Rudich, S.: Weakly learning DNF and characterizing statistical query learning using fourier analysis. In: Proc. of 26th ACM Symposium on Theory of Computing (1994)
4. Bshouty, N.H., Feldman, V.: On using extended statistical queries to avoid membership queries. Journal of Machine Learning Research 2, 359-395 (2002)
5. Feldman, V.: A complete characterization of statistical query learning with applications to evolvability. In: FOCS 2009 (to appear, 2009)
6. Kearns, M.: Efficient noise-tolerant learning from statistical queries. J. ACM 45(6), 983-1006 (1998)
7. Köbler, J., Lindner, W.: The complexity of learning concept classes with polynomial general dimension. Theor. Comput. Sci. 350(1), 49-62 (2006)
8. Simon, H.U.: A characterization of strong learnability in the statistical query model. In: Thomas, W., Weil, P. (eds.) STACS 2007. LNCS, vol. 4393, pp. 393-404. Springer, Heidelberg (2007)
9. Szörényi, B.: Honest queries do not help in the statistical query model (manuscript)
10. Yang, K.: New lower bounds for statistical query learning. J. Comput. Syst. Sci. 70(4), 485-509 (2005);
11. In: Kivinen, J., Sloan, R.H. (eds.) COLT 2002. LNCS (LNAI), vol. 2375, pp. 229-509. Springer, Heidelberg (2002)
12. Yang, K.: On learning correlated boolean functions using statistical queries. In: Abe, N., Khardon, R., Zeugmann, T. (eds.) ALT 2001. LNCS (LNAI), vol. 2225, pp. 591-676 Springer, Heidelberg (2001)