메뉴 건너뛰기




Volumn 6845 LNCS, Issue , 2011, Pages 628-639

Almost optimal explicit Johnson-Lindenstrauss families

Author keywords

[No Author keywords available]

Indexed keywords

COMMUNICATION COMPLEXITY; DESIGN AND ANALYSIS OF ALGORITHMS; ELEMENTARY PROOF; EMBEDDING DIMENSIONS; EMBEDDINGS; EXPLICIT CONSTRUCTIONS; JOHNSON-LINDENSTRAUSS LEMMATA; LOWER BOUNDS; OPTIMALITY; RANDOM BITS;

EID: 80052383592     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-22935-0_53     Document Type: Conference Paper
Times cited : (65)

References (15)
  • 1
    • 67650105330 scopus 로고    scopus 로고
    • The fast Johnson-Lindenstrauss transform and approximate nearest neighbors
    • Ailon, N., Chazelle, B.: The fast Johnson-Lindenstrauss transform and approximate nearest neighbors. SIAM J. Comput. 39(1), 302-322 (2009)
    • (2009) SIAM J. Comput. , vol.39 , Issue.1 , pp. 302-322
    • Ailon, N.1    Chazelle, B.2
  • 2
    • 0038166193 scopus 로고    scopus 로고
    • Database-friendly random projections: Johnson-lindenstrauss with binary coins
    • Achlioptas, D.: Database-friendly random projections: Johnson-lindenstrauss with binary coins. J. Comput. Syst. Sci. 66(4), 671-687 (2003)
    • (2003) J. Comput. Syst. Sci. , vol.66 , Issue.4 , pp. 671-687
    • Achlioptas, D.1
  • 3
    • 0033077324 scopus 로고    scopus 로고
    • The Space Complexity of Approximating the Frequency Moments
    • Alon, N., Matias, Y., Szegedy, M.: The Space Complexity of Approximating the Frequency Moments. J. Comput. Syst. Sci. 58(1), 137-147 (1999)
    • (1999) J. Comput. Syst. Sci. , vol.58 , Issue.1 , pp. 137-147
    • Alon, N.1    Matias, Y.2    Szegedy, M.3
  • 4
    • 33745467619 scopus 로고    scopus 로고
    • An algorithmic theory of learning: Robust concepts and random projection
    • Arriaga, R.I., Vempala, S.: An algorithmic theory of learning: Robust concepts and random projection. Machine Learning 63(2), 161-182 (2006)
    • (2006) Machine Learning , vol.63 , Issue.2 , pp. 161-182
    • Arriaga, R.I.1    Vempala, S.2
  • 5
    • 70350688128 scopus 로고    scopus 로고
    • Numerical linear algebra in the streaming model
    • Clarkson, K.L., Woodruff, D.P.: Numerical linear algebra in the streaming model. In: STOC, pp. 205-214 (2009)
    • (2009) STOC , pp. 205-214
    • Clarkson, K.L.1    Woodruff, D.P.2
  • 6
    • 0037236821 scopus 로고    scopus 로고
    • An elementary proof of a theorem of johnson and lindenstrauss
    • Dasgupta, S., Gupta, A.: An elementary proof of a theorem of johnson and lindenstrauss. Random Struct. Algorithms 22(1), 60-65 (2003)
    • (2003) Random Struct. Algorithms , vol.22 , Issue.1 , pp. 60-65
    • Dasgupta, S.1    Gupta, A.2
  • 7
    • 36849061966 scopus 로고    scopus 로고
    • Derandomized dimensionality reduction with applications
    • Engebretsen, L., Indyk, P., O'Donnell, R.: Derandomized dimensionality reduction with applications. In: SODA, pp. 705-712 (2002)
    • (2002) SODA , pp. 705-712
    • Engebretsen, L.1    Indyk, P.2    O'Donnell, R.3
  • 8
    • 0031644241 scopus 로고    scopus 로고
    • Approximate nearest neighbors: Towards removing the curse of dimensionality
    • Indyk, P., Motwani, R.: Approximate nearest neighbors: towards removing the curse of dimensionality. In: STOC, pp. 604-613 (1998)
    • (1998) STOC , pp. 604-613
    • Indyk, P.1    Motwani, R.2
  • 9
    • 0001654702 scopus 로고
    • Extensions of Lipschitz mappings into a Hilbert space
    • Johnson, W.B., Lindenstrauss, J.: Extensions of Lipschitz mappings into a Hilbert space. Contemp. Math. 26, 189-206 (1984)
    • (1984) Contemp. Math. , vol.26 , pp. 189-206
    • Johnson, W.B.1    Lindenstrauss, J.2
  • 10
    • 79955729456 scopus 로고    scopus 로고
    • Optimal bounds for Johnson-Lindenstrauss transforms and streaming problems with low error
    • Jayram, T.S., Woodruff, D.P.: Optimal bounds for Johnson-Lindenstrauss transforms and streaming problems with low error. In: SODA, pp. 1-10 (2011)
    • (2011) SODA , pp. 1-10
    • Jayram, T.S.1    Woodruff, D.P.2
  • 11
    • 80051970609 scopus 로고    scopus 로고
    • Explicit dimension reduction and its applications
    • Karnin, Z., Rabani, Y., Shpilka, A.: Explicit dimension reduction and its applications. In: CCC, pp. 262-272 (2011)
    • (2011) CCC , pp. 262-272
    • Karnin, Z.1    Rabani, Y.2    Shpilka, A.3
  • 13
    • 52349087217 scopus 로고    scopus 로고
    • On variants of the Johnson-Lindenstrauss lemma
    • Matousek, J.: On variants of the Johnson-Lindenstrauss lemma. Random Struct. Algorithms 33(2), 142-156 (2008)
    • (2008) Random Struct. Algorithms , vol.33 , Issue.2 , pp. 142-156
    • Matousek, J.1
  • 14
    • 0036040280 scopus 로고    scopus 로고
    • Algorithmic derandomization via complexity theory
    • Sivakumar, D.: Algorithmic derandomization via complexity theory. In: STOC, pp. 619-626 (2002)
    • (2002) STOC , pp. 619-626
    • Sivakumar, D.1
  • 15
    • 0031507665 scopus 로고    scopus 로고
    • Randomness-optimal oblivious sampling
    • Zuckerman, D.: Randomness-optimal oblivious sampling. Random Struct. Algorithms 11(4), 345-367 (1997)
    • (1997) Random Struct. Algorithms , vol.11 , Issue.4 , pp. 345-367
    • Zuckerman, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.