메뉴 건너뛰기




Volumn 6650 LNCS, Issue , 2011, Pages 302-332

A sample of samplers: A computational perspective on sampling

(1)  Goldreich, Oded a  

a NONE

Author keywords

Expander graphs; information theoretic lower bounds; pairwise independent random variables; random walks on graphs; randomness complexity; Sampling; saving randomness

Indexed keywords

EXPANDER GRAPHS; LOWER BOUNDS; RANDOM WALK; RANDOMNESS COMPLEXITY; SAVING RANDOMNESS;

EID: 84857521681     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-22670-0_24     Document Type: Article
Times cited : (50)

References (30)
  • 2
    • 51249178048 scopus 로고
    • Eigenvalues, geometric expanders, sorting in rounds and ramsey theory
    • Alon, N.: Eigenvalues, Geometric Expanders, Sorting in Rounds and Ramsey Theory. Combinatorica 6, 231-243 (1986)
    • (1986) Combinatorica , vol.6 , pp. 231-243
    • Alon, N.1
  • 3
    • 0026834814 scopus 로고
    • Construction of asymptotically good, low-rate error-correcting codes through pseudo-random graphs
    • Alon, N., Bruck, J., Naor, J., Naor, M., Roth, R.: Construction of Asymptotically Good, Low-Rate Error-Correcting Codes through Pseudo-Random Graphs. IEEE Transactions on Information Theory 38, 509-516 (1992)
    • (1992) IEEE Transactions on Information Theory , vol.38 , pp. 509-516
    • Alon, N.1    Bruck, J.2    Naor, J.3    Naor, M.4    Roth, R.5
  • 4
    • 33750994100 scopus 로고
    • 1, isoperimetric inequalities for graphs and superconcentrators
    • 1, Isoperimetric Inequalities for Graphs and Superconcentrators. J. Combinatorial Theory, Ser. B 38, 73-88 (1985)
    • (1985) J. Combinatorial Theory, Ser. B , vol.38 , pp. 73-88
    • Alon, N.1    Milman, V.D.2
  • 6
    • 0034837020 scopus 로고    scopus 로고
    • Sampling algorithms: Lower bounds and applications
    • Bar-Yossef, Z., Kumar, R., Sivakumar, D.: Sampling Algorithms: Lower Bounds and Applications. In: 33rd STOC, pp. 266-275 (2001)
    • (2001) 33rd STOC , pp. 266-275
    • Bar-Yossef, Z.1    Kumar, R.2    Sivakumar, D.3
  • 7
    • 0040713388 scopus 로고
    • Randomness in interactive proofs
    • Extended abstract in 31st FOCS, pp.318-326 (1990)
    • Bellare, M., Goldreich, O., Goldwasser, S.: Randomness in Interactive Proofs. Computational Complexity 4(4), 319-354 (1993); Extended abstract in 31st FOCS, pp. 318-326 (1990)
    • (1993) Computational Complexity , vol.4 , Issue.4 , pp. 319-354
    • Bellare, M.1    Goldreich, O.2    Goldwasser, S.3
  • 9
    • 33749228136 scopus 로고
    • Randomness-efficient oblivious sampling
    • Bellare, M., Rompel, J.: Randomness-efficient oblivious sampling. In: 35th FOCS (1994)
    • (1994) 35th FOCS
    • Bellare, M.1    Rompel, J.2
  • 10
    • 0029220110 scopus 로고
    • Lower bounds for sampling algorithms for estimating the average
    • Canetti, R., Even, G., Goldreich, O.: Lower Bounds for Sampling Algorithms for Estimating the Average. In: IPL, vol. 53, pp. 17-25 (1995)
    • (1995) IPL , vol.53 , pp. 17-25
    • Canetti, R.1    Even, G.2    Goldreich, O.3
  • 12
    • 0002739272 scopus 로고
    • On the power of two-point based sampling
    • Chor, B., Goldreich, O.: On the Power of Two-Point Based Sampling. Jour. of Complexity 5, 96-106 (1989)
    • (1989) Jour. of Complexity , vol.5 , pp. 96-106
    • Chor, B.1    Goldreich, O.2
  • 13
    • 0024766880 scopus 로고
    • Dispensers, deterministic amplification, and weak random sources
    • Cohen, A.,Wigderson, A.: Dispensers, Deterministic Amplification, andWeak Random Sources. In: 30th FOCS, pp. 14-19 (1989)
    • (1989) 30th FOCS , pp. 14-19
    • Cohen, A.1    Wigderson, A.2
  • 14
    • 0000871697 scopus 로고
    • Explicit constructions of linear size superconcentrators
    • Gaber, O., Galil, Z.: Explicit Constructions of Linear Size Superconcentrators. JCSS 22, 407-420 (1981)
    • (1981) JCSS , vol.22 , pp. 407-420
    • Gaber, O.1    Galil, Z.2
  • 16
    • 0031504510 scopus 로고    scopus 로고
    • Tiny families of functions with random properties: A quality-size trade-off for hashing
    • Goldreich, O., Wigderson, A.: Tiny Families of Functions with Random Properties: A Quality-Size Trade-off for Hashing. Journal of Random structures and Algorithms 11(4), 315-343 (1997)
    • (1997) Journal of Random structures and Algorithms , vol.11 , Issue.4 , pp. 315-343
    • Goldreich, O.1    Wigderson, A.2
  • 18
    • 68549120859 scopus 로고    scopus 로고
    • Unbalanced expanders and randomness extractors from parvaresh-vardy codes
    • Preliminary version in 22nd CCC 2007
    • Guruswami, V., Umans, C., Vadhan, S.: Unbalanced Expanders and Randomness Extractors from Parvaresh-Vardy Codes. JACM 56(4) (2009); Preliminary version in 22nd CCC 2007
    • (2009) JACM , vol.56 , Issue.4
    • Guruswami, V.1    Umans, C.2    Vadhan, S.3
  • 19
    • 33749002225 scopus 로고    scopus 로고
    • Expander graphs and their applications
    • Hoory, S., Linial, N., Wigderson, A.: Expander Graphs and their Applications. Bull. AMS 43(4), 439-561 (2006)
    • (2006) Bull. AMS , vol.43 , Issue.4 , pp. 439-561
    • Hoory, S.1    Linial, N.2    Wigderson, A.3
  • 20
    • 0024771884 scopus 로고
    • How to recycle random bits
    • Impagliazzo, R., Zuckerman, D.: How to Recycle Random Bits. In: 30th FOCS, pp. 248-253 (1989)
    • (1989) 30th FOCS , pp. 248-253
    • Impagliazzo, R.1    Zuckerman, D.2
  • 21
    • 84976736925 scopus 로고
    • Eigenvalues and expansion of regular graphs
    • Kahale, N.: Eigenvalues and Expansion of Regular Graphs. Journal of the ACM 42(5), 1091-1106 (1995)
    • (1995) Journal of the ACM , vol.42 , Issue.5 , pp. 1091-1106
    • Kahale, N.1
  • 23
    • 0002284975 scopus 로고
    • Explicit expanders and the ramanujan conjectures
    • Lubotzky, A., Phillips, R., Sarnak, P.: Explicit Expanders and the Ramanujan Conjectures. In: Proc. 18th STOC, pp. 240-246 (1986)
    • (1986) Proc. 18th STOC , pp. 240-246
    • Lubotzky, A.1    Phillips, R.2    Sarnak, P.3
  • 24
    • 0000789645 scopus 로고
    • Explicit construction of concentrators
    • In Russian, English translation in Problems of Infor. Trans., 325-332 (1975)
    • Margulis, G.A.: Explicit Construction of Concentrators. Prob. Per. Infor. 9(4), 71-80 (1973); In Russian, English translation in Problems of Infor. Trans., 325-332 (1975)
    • (1973) Prob. Per. Infor. , vol.9 , Issue.4 , pp. 71-80
    • Margulis, G.A.1
  • 25
    • 0002956996 scopus 로고    scopus 로고
    • Bounds for dispersers extractors and depth-two superconcentrators
    • Radhakrishnan, J., Ta-Shma, A.: Bounds for Dispersers, Extractors, and Depth-Two Superconcentrators. SIAM J. Discrete Math. 13(1), 2-24 (2000)
    • (2000) SIAM J. Discrete Math. , vol.13 , Issue.1 , pp. 2-24
    • Radhakrishnan, J.1    Ta-Shma, A.2
  • 28
    • 0012579059 scopus 로고    scopus 로고
    • Recent developments in explicit constructions of extractors
    • In: Paun, G., Rozenberg, G., Salomaa, A. (eds.), World scietific (2004); Preliminary version in Bulletin of the EATCS 77, pages 67-95
    • Shaltiel, R.: Recent Developments in Explicit Constructions of Extractors. In: Paun, G., Rozenberg, G., Salomaa, A. (eds.) Current Trends in Theoretical Computer Science: The Challenge of the New Century. Algorithms and Complexity, vol. 1, pp. 67-95. World scietific (2004); Preliminary version in Bulletin of the EATCS 77, pages 67-95, 2002
    • (2002) Current Trends in Theoretical Computer Science: The Challenge of the New Century. Algorithms and Complexity , vol.1 , pp. 67-95
    • Shaltiel, R.1
  • 29
    • 0030701251 scopus 로고    scopus 로고
    • When hamming meets euclid: The approximability of geometric TSP and MST
    • Trevisan, L.: When Hamming meets Euclid: The Approximability of Geometric TSP and MST. In: 29th STOC, pp. 21-29 (1997)
    • (1997) 29th STOC , pp. 21-29
    • Trevisan, L.1
  • 30
    • 0031507665 scopus 로고    scopus 로고
    • Randomness-optimal oblivious sampling
    • Preliminary version in 28th STOC, pages 286-295, 1996
    • Zuckerman, D.: Randomness-Optimal Oblivious Sampling. In: Journal of Random Structures and Algorithms, vol. 11(4), pp. 345-367 (1997); Preliminary version in 28th STOC, pages 286-295, 1996
    • (1997) Journal of Random Structures and Algorithms , vol.11 , Issue.4 , pp. 345-367
    • Zuckerman, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.