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Volumn 69, Issue 2-3, 2007, Pages 97-114

Unconditional lower bounds for learning intersections of halfspaces

Author keywords

Halfspace learning; Harmonic sieve; Intersections of halfspaces; Lower bounds for learning; PAC learning; Polynomial threshold functions; Query learning; SQ learning; Statistical queries

Indexed keywords

ALGORITHMS; HARMONIC ANALYSIS; LEARNING SYSTEMS; POLYNOMIALS; QUERY PROCESSING; STATISTICAL METHODS;

EID: 35348904454     PISSN: 08856125     EISSN: 15730565     Source Type: Journal    
DOI: 10.1007/s10994-007-5010-1     Document Type: Conference Paper
Times cited : (38)

References (26)
  • 2
    • 0002480682 scopus 로고
    • The expressive power of voting polynomials
    • 2
    • Aspnes, J., Beigel, R., Furst, M. L., & Rudich, S. (1994). The expressive power of voting polynomials. Combinatorica, 14(2), 135-148.
    • (1994) Combinatorica , vol.14 , pp. 135-148
    • Aspnes, J.1    Beigel, R.2    Furst, M.L.3    Rudich, S.4
  • 4
    • 0001926474 scopus 로고    scopus 로고
    • A polynomial time algorithm for learning noisy linear threshold functions
    • 1/2
    • Blum, A., Frieze, A., Kannan, R., & Vempala, S. (1997). A polynomial time algorithm for learning noisy linear threshold functions. Algorithmica, 22(1/2), 35-52.
    • (1997) Algorithmica , vol.22 , pp. 35-52
    • Blum, A.1    Frieze, A.2    Kannan, R.3    Vempala, S.4
  • 6
    • 24144453496 scopus 로고    scopus 로고
    • Noise-tolerant learning, the parity problem, and the statistical query model
    • 4
    • Blum, A., Kalai, A., & Wasserman, H. (2003). Noise-tolerant learning, the parity problem, and the statistical query model. Journal of the ACM, 50(4), 506-519.
    • (2003) Journal of the ACM , vol.50 , pp. 506-519
    • Blum, A.1    Kalai, A.2    Wasserman, H.3
  • 7
    • 0000313642 scopus 로고
    • Harmonic analysis of polynomial threshold functions
    • 2
    • Bruck, J. (1990). Harmonic analysis of polynomial threshold functions. SIAM Journal on Discrete Mathematics, 3(2), 168-177.
    • (1990) SIAM Journal on Discrete Mathematics , vol.3 , pp. 168-177
    • Bruck, J.1
  • 8
    • 0030197679 scopus 로고    scopus 로고
    • On the Fourier spectrum of monotone functions
    • 4
    • Bshouty, N. H., & Tamon, C. (1996). On the Fourier spectrum of monotone functions. Journal of the ACM, 43(4), 747-770.
    • (1996) Journal of the ACM , vol.43 , pp. 747-770
    • Bshouty, N.H.1    Tamon, C.2
  • 15
    • 0031095414 scopus 로고    scopus 로고
    • On the computational power of depth-2 circuits with threshold and modulo gates
    • 1-2
    • Krause, M., & Pudlák, P. (1997). On the computational power of depth-2 circuits with threshold and modulo gates. Theoretical Computer Science, 174(1-2), 137-156.
    • (1997) Theoretical Computer Science , vol.174 , pp. 137-156
    • Krause, M.1    Pudlák, P.2
  • 16
    • 0027869083 scopus 로고
    • Learning decision trees using the Fourier spectrum
    • 6
    • Kushilevitz, E., & Mansour, Y. (1993). Learning decision trees using the Fourier spectrum. SIAM Journal on Computing, 22(6), 1331-1348.
    • (1993) SIAM Journal on Computing , vol.22 , pp. 1331-1348
    • Kushilevitz, E.1    Mansour, Y.2
  • 17
    • 0003023990 scopus 로고    scopus 로고
    • PAC learning intersections of halfspaces with membership queries
    • 1/2
    • Kwek, S., & Pitt, L. (1998). PAC learning intersections of halfspaces with membership queries. Algorithmica, 22(1/2), 53-75.
    • (1998) Algorithmica , vol.22 , pp. 53-75
    • Kwek, S.1    Pitt, L.2
  • 22
    • 0043016215 scopus 로고
    • Hyperplane cuts of an n-cube
    • 2
    • O'Neil, P. (1971). Hyperplane cuts of an n-cube. Discrete Mathematics, 1(2), 193-195.
    • (1971) Discrete Mathematics , vol.1 , pp. 193-195
    • O'Neil, P.1
  • 23
    • 0013368052 scopus 로고
    • Slicing the hypercube
    • Saks, M. E. (1993). Slicing the hypercube. Surveys in Combinatorics, 1993, 211-255.
    • (1993) Surveys in Combinatorics , vol.1993 , pp. 211-255
    • Saks, M.E.1
  • 24
    • 0021518106 scopus 로고
    • A theory of the learnable
    • 11
    • Valiant, L. G. (1984). A theory of the learnable. Communications of the ACM, 27(11), 1134-1142.
    • (1984) Communications of the ACM , vol.27 , pp. 1134-1142
    • Valiant, L.G.1
  • 26
    • 17444425308 scopus 로고    scopus 로고
    • New lower bounds for statistical query learning
    • 4
    • Yang, K. (2005). New lower bounds for statistical query learning. Journal of Computer and System Sciences, 70(4), 485-509.
    • (2005) Journal of Computer and System Sciences , vol.70 , pp. 485-509
    • Yang, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.