메뉴 건너뛰기




Volumn , Issue , 2007, Pages 83-95

Halfspace matrices

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN FUNCTIONS; COMPUTATIONAL COMPLEXITY; LINEAR SYSTEMS; PROBLEM SOLVING; STATE SPACE METHODS; STATISTICAL METHODS;

EID: 34748927136     PISSN: 10930159     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCC.2007.11     Document Type: Conference Paper
Times cited : (13)

References (42)
  • 1
    • 0022188126 scopus 로고
    • Geometrical realization of set systems and probabilistic communication complexity
    • N. Alon, P. Frankl, and V. Rödl. Geometrical realization of set systems and probabilistic communication complexity. In FOCS, pages 277-280, 1985.
    • (1985) FOCS , pp. 277-280
    • Alon, N.1    Frankl, P.2    Rödl, V.3
  • 3
    • 0022877553 scopus 로고
    • Complexity classes in communication complexity theory
    • L. Babai, P. Frankl, and J. Simon. Complexity classes in communication complexity theory. In FOCS, pages 337-347, 1986.
    • (1986) FOCS , pp. 337-347
    • Babai, L.1    Frankl, P.2    Simon, J.3
  • 4
    • 0042967747 scopus 로고    scopus 로고
    • Limitations of learning via embeddings in Euclidean half spaces
    • S. Ben-David, N. Eiron, and H. U. Simon. Limitations of learning via embeddings in Euclidean half spaces. J. Mach. Learn. Res., 3:441-461, 2003.
    • (2003) J. Mach. Learn. Res , vol.3 , pp. 441-461
    • Ben-David, S.1    Eiron, N.2    Simon, H.U.3
  • 5
    • 0001926474 scopus 로고    scopus 로고
    • A polynomial-time algorithm for learning noisy linear threshold functions
    • A. Blum, A. M. Frieze, R. Kannan, and S. Vempala. A polynomial-time algorithm for learning noisy linear threshold functions. Algorithmica, 22(1/2):35-52, 1998.
    • (1998) Algorithmica , vol.22 , Issue.1-2 , pp. 35-52
    • Blum, A.1    Frieze, A.M.2    Kannan, R.3    Vempala, S.4
  • 7
    • 24144453496 scopus 로고    scopus 로고
    • Noise-tolerant learning, the parity problem, and the statistical query model
    • A. Blum, A. Kalai, and H. Wasserman. Noise-tolerant learning, the parity problem, and the statistical query model. J. ACM, 50(4):506-519, 2003.
    • (2003) J. ACM , vol.50 , Issue.4 , pp. 506-519
    • Blum, A.1    Kalai, A.2    Wasserman, H.3
  • 9
    • 27144489164 scopus 로고    scopus 로고
    • A tutorial on support vector machines for pattern recognition
    • C. J. C. Burges. A tutorial on support vector machines for pattern recognition. Data Min. Knowl. Discov., 2(2):121-167, 1998.
    • (1998) Data Min. Knowl. Discov , vol.2 , Issue.2 , pp. 121-167
    • Burges, C.J.C.1
  • 10
    • 26444498538 scopus 로고    scopus 로고
    • Hadamard tensors and lower bounds on multiparty communication complexity
    • J. Ford and A. Gál. Hadamard tensors and lower bounds on multiparty communication complexity. In ICALP, pages 1163-1175, 2005.
    • (2005) ICALP , pp. 1163-1175
    • Ford, J.1    Gál, A.2
  • 11
    • 9444262655 scopus 로고    scopus 로고
    • A linear lower bound on the unbounded error probabilistic communication complexity
    • J. Forster. A linear lower bound on the unbounded error probabilistic communication complexity. J. Comput. Syst. Sci., 65(4):612-625, 2002.
    • (2002) J. Comput. Syst. Sci , vol.65 , Issue.4 , pp. 612-625
    • Forster, J.1
  • 13
    • 0038629051 scopus 로고    scopus 로고
    • Estimating the optimal margins of embeddings in Euclidean half spaces
    • J. Forster, N. Schmitt, H. U. Simon, and T. Suttorp. Estimating the optimal margins of embeddings in Euclidean half spaces. Mach. Learn., 51(3):263-281, 2003.
    • (2003) Mach. Learn , vol.51 , Issue.3 , pp. 263-281
    • Forster, J.1    Schmitt, N.2    Simon, H.U.3    Suttorp, T.4
  • 14
    • 29144487028 scopus 로고    scopus 로고
    • On the smallest possible dimension and the largest possible margin of linear arrangements representing given concept classes
    • J. Forster and H. U. Simon. On the smallest possible dimension and the largest possible margin of linear arrangements representing given concept classes. Theor. Comput. Sci., 350(1):40-48, 2006.
    • (2006) Theor. Comput. Sci , vol.350 , Issue.1 , pp. 40-48
    • Forster, J.1    Simon, H.U.2
  • 16
    • 0000420294 scopus 로고
    • On the size of weights for threshold gates
    • J. Håstad. On the size of weights for threshold gates. SIAM J. Discret. Math., 7(3):484-492, 1994.
    • (1994) SIAM J. Discret. Math , vol.7 , Issue.3 , pp. 484-492
    • Håstad, J.1
  • 17
    • 0001190474 scopus 로고
    • The probabilistic communication complexity of set intersection
    • B. Kalyanasundaram and G. Schintger. The probabilistic communication complexity of set intersection. SIAM J. Discret. Math., 5(4):545-557, 1992.
    • (1992) SIAM J. Discret. Math , vol.5 , Issue.4 , pp. 545-557
    • Kalyanasundaram, B.1    Schintger, G.2
  • 20
    • 3042612212 scopus 로고    scopus 로고
    • Learning intersections and thresholds of halfspaces
    • A. R. Klivans, R. O'Donnell, and R. A. Servedio. Learning intersections and thresholds of halfspaces. J. Comput. Syst. Sci., 68(4):808-840, 2004.
    • (2004) J. Comput. Syst. Sci , vol.68 , Issue.4 , pp. 808-840
    • Klivans, A.R.1    O'Donnell, R.2    Servedio, R.A.3
  • 21
    • 9444259309 scopus 로고    scopus 로고
    • Learning intersections of halfspaces with a margin
    • A. R. Klivans and R. A. Servedio. Learning intersections of halfspaces with a margin. In COLT, pages 348-362, 2004.
    • (2004) COLT , pp. 348-362
    • Klivans, A.R.1    Servedio, R.A.2
  • 24
    • 0033434847 scopus 로고    scopus 로고
    • On randomized one-round communication complexity
    • I. Kremer, N. Nisan, and D. Ron. On randomized one-round communication complexity. Computational Complexity, 8(1):21-49, 1999.
    • (1999) Computational Complexity , vol.8 , Issue.1 , pp. 21-49
    • Kremer, I.1    Nisan, N.2    Ron, D.3
  • 26
    • 0003023990 scopus 로고    scopus 로고
    • PAC learning intersections of half-spaces with membership queries
    • S. Kwek and L. Pitt. PAC learning intersections of half-spaces with membership queries. Algorithmica, 22(1/2):53-75, 1998.
    • (1998) Algorithmica , vol.22 , Issue.1-2 , pp. 53-75
    • Kwek, S.1    Pitt, L.2
  • 27
    • 44449089397 scopus 로고    scopus 로고
    • Complexity measures of sign matrices
    • To appear. Manuscript at
    • N. Linial, S. Mendelson, G. Schechtman, and A. Shraibman. Complexity measures of sign matrices. Combinatorica, 2006. To appear. Manuscript at http://www.cs.huji.ac.il/~nati/PAPERS/complexity_matrices.ps. gz.
    • (2006) Combinatorica
    • Linial, N.1    Mendelson, S.2    Schechtman, G.3    Shraibman, A.4
  • 30
    • 0035521408 scopus 로고    scopus 로고
    • Spectral methods for matrix rigidity with applications to size-depth trade-offs and communication complexity
    • S. V. Lokam. Spectral methods for matrix rigidity with applications to size-depth trade-offs and communication complexity. J. Comput. Syst. Sci., 63(3):449-473, 2001.
    • (2001) J. Comput. Syst. Sci , vol.63 , Issue.3 , pp. 449-473
    • Lokam, S.V.1
  • 31
    • 0021469714 scopus 로고
    • Probabilistic communication complexity
    • R. Paturi and J. Simon. Probabilistic communication complexity. J. Comput. Syst. Sci., 33(1):106-123, 1986.
    • (1986) J. Comput. Syst. Sci , vol.33 , Issue.1 , pp. 106-123
    • Paturi, R.1    Simon, J.2
  • 32
    • 0034563764 scopus 로고    scopus 로고
    • The BNS-Chung criterion for multi-party communication complexity
    • R. Raz. The BNS-Chung criterion for multi-party communication complexity. Comput. Complex., 9(2):113-122, 2000.
    • (2000) Comput. Complex , vol.9 , Issue.2 , pp. 113-122
    • Raz, R.1
  • 33
    • 34748915739 scopus 로고    scopus 로고
    • A. A. Razborov. Ob ustoichivyh matritsah. Research report, Steklov Mathematical Institute, Moscow, Russia, 1989. In Russian. Engl, title: On rigid matrices.
    • A. A. Razborov. Ob ustoichivyh matritsah. Research report, Steklov Mathematical Institute, Moscow, Russia, 1989. In Russian. Engl, title: "On rigid matrices".
  • 34
    • 0026990361 scopus 로고
    • On the distributional complexity of disjointness
    • A. A. Razborov. On the distributional complexity of disjointness. Theor. Comput. Sci., 106(2):385-390, 1992.
    • (1992) Theor. Comput. Sci , vol.106 , Issue.2 , pp. 385-390
    • Razborov, A.A.1
  • 36
    • 33750736616 scopus 로고    scopus 로고
    • Spectral norm in learning theory: Some selected topics
    • H. U. Simon. Spectral norm in learning theory: Some selected topics. In ALT, pages 13-27, 2006.
    • (2006) ALT , pp. 13-27
    • Simon, H.U.1
  • 37
    • 0000568992 scopus 로고
    • On the power of threshold circuits with small weights
    • K.-Y. Siu and J. Bruck. On the power of threshold circuits with small weights. SIAM J. Discrete Math., 4(3):423-435, 1991.
    • (1991) SIAM J. Discrete Math , vol.4 , Issue.3 , pp. 423-435
    • Siu, K.-Y.1    Bruck, J.2
  • 38
    • 24944527668 scopus 로고    scopus 로고
    • Rank, trace-norm and maxnorm
    • N. Srebro and A. Shraibman. Rank, trace-norm and maxnorm. In COLT, pages 545-560, 2005.
    • (2005) COLT , pp. 545-560
    • Srebro, N.1    Shraibman, A.2
  • 39
    • 0021518106 scopus 로고
    • A theory of the learnable
    • L. G. Valiant. A theory of the learnable. Commun. ACM, 27(11):1134-1142, 1984.
    • (1984) Commun. ACM , vol.27 , Issue.11 , pp. 1134-1142
    • Valiant, L.G.1
  • 42
    • 17444425308 scopus 로고    scopus 로고
    • New lower bounds for statistical query learning
    • K. Yang. New lower bounds for statistical query learning. J. Comput. Syst. Sci., 70(4):485-509, 2005.
    • (2005) J. Comput. Syst. Sci , vol.70 , Issue.4 , pp. 485-509
    • Yang, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.