Arya, S., Mount, D.M., Netanyahu, N.S., Silverman, R., Wu, A. An optimal algorithm for approximate nearest neighbor searching, Proc. 5th Annu. ACM- SIAM Symp. Disc. AIg. (1994), 573-582.

Digital Library

Google Scholar

[5]

Beame, P., Fich, F. Optimal bounds for the predecessor problem, manuscript, }998.

Google Scholar

[6]

Bern, M. Approximate closest-point queries in high dimensions, Inform. Process. Lett., 45 (1993), 95-99.

Digital Library

Google Scholar

[7]

Borodin, A., Ostrovsky, R., Rabani, Y. Lower Bounds for High Dimensional Nearest Neighbor Search and Related Problems, Proc. 31st Annu. ACM Symp. Theory Comput. (i999).

Digital Library

Google Scholar

[8]

C~zaJs, F. Effective nearest neighbors searching on the hyper-cube, with applications to molecular clustering, Proc. 14th Annu. ACM Syrup. Comput. Geom. (1998), 222-230.

Digital Library

Google Scholar

[9]

Chan, T. Approximate nearest neighbor queries revisited, Proc. 13th Annu. ACM Symp. Comput. Geom. (1997), 352-358.

Digital Library

Google Scholar

[10]

Cha~etle, B. The Discrepancy Method: Randomness and Complexity, manuscript, to appear.

Google Scholar

[11]

Clarkson, K.L. A probabiIistic algorithm for the post o~ce problem, Proc. 17th Annu. ACM Symp. Theory Comput. (1985), 175-t84.9

Digital Library

Google Scholar

[12]

Clarkson, K.L. A randomized algorithm for closestpoint queries, SIAM J. Comput., 17 (1988), 830-847.

Digital Library

Google Scholar

[13]

Clarkson, K.L. An algorithm for approximate closest-point queries, Proc. 10th Annu. ACM Symp. Comput. Geom. l0 (1994), I60-164.

Digital Library

Google Scholar

[14]

Graham, R.L., Knuth, D.E., Patashnik, O. Concrete Mathematics: A Foundation for Computer Science, 2rid ed., Addison-Wesley, 1994.

Digital Library

Google Scholar

[15]

Hoeffding, W. Probability inequalities for sums oj~ bounded random variables, J. Amer. Stat. Assoc., 58 (~a), ~a-ao.

Google Scholar

[16]

Indyk, P., Motwani, R. Approximate nearest neighbors: towards removing the curse of dimensionality, Proc. 30{h ACM Symp. Theory Comput. (1998), 604-613.

Digital Library

Google Scholar

[17]

Karchmer, M., Wigderson, A. Monotone circuits for connectivity require super-logarithmic depth, SIAM J. Disc. Math., 2 (t990).

Google Scholar

[18]

Kteinberg, J.M. Two algorithms for nearest neighbor search in high dimensions, Proc. 29th Annu. ACM Syrup. Theory Comput. (1997), 599-608.

Digital Library

Google Scholar

[19]

Kushilevit~z, E., Nisan, N. Communication Complexity, Cambridge University Press, 1997

Digital Library

Google Scholar

[20]

Kushitevitz, E., Ostrovsky, R., Rabani, Y. Efficient search for appro~mate nearest neighbor in highdimensional spaces, Proc. 30th Annu. AGM Symp. Theory Compu~. (1998), 614-623.

Digital Library

Google Scholar

[21]

Liniat, N., London, E., Rabinovitch, Y. The geometry of graphs and some of its algorithmic applications, Proc. 35th Annu. IEEE Symp. Found. Corn~ put. Sci. (1994), 577-591.

Google Scholar

[22]

Miltersen, P.B. Lower bounds for union-split-find related problems on random access machines, Proc. 26th Annu. ACM Symp. Theory Comput. (1994), 625-634.

Digital Library

Google Scholar

[23]

Miltersen, P.B., Nisan, N., Safra, S., Wigderson, A. On data structures and asymmetric communication complexity, Proc. 27th Annu. A CM Symp. Theory Comput. (t995), 103-111.

Digital Library

Google Scholar

[24]

Motwani, R., Raghawn, P. Randomized Algorithms, Cambridge University Press, 1995.

Digital Library

Google Scholar

[25]

Xiao, B. New Bounds in Cell Probe Model, PhD Thesis, UC San Diego, 1992.

Digital Library

Google Scholar

[26]

Ygnilos, P.N. Data structures and algorithms for nearest neighbor search in general metric spaces, Proc. 2nd Annual ACM-SIAM Symp. Disc. Alg. (~s), s~-a:~.

Digital Library

Google Scholar

[27]

Yao, A.C. Should tables be sorted?, J. ACM, 28 (~gs~), 6~$-6~s.

Digital Library

Google Scholar

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Andoni ALaarhoven TRazenshteyn IWaingarten EKlein P(2017)Optimal hashing-based time-space trade-offs for approximate near neighborsProceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms10.5555/3039686.3039690(47-66)Online publication date: 16-Jan-2017
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Sun YWang WQin JZhang YLin X(2014)SRSProceedings of the VLDB Endowment10.14778/2735461.27354628:1(1-12)Online publication date: 1-Sep-2014
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Index Terms

A lower bound on the complexity of approximate nearest-neighbor searching on the Hamming cube
1. Mathematics of computing
  1. Discrete mathematics
2. Theory of computation

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STOC '99: Proceedings of the thirty-first annual ACM symposium on Theory of Computing

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DOI:10.1145/301250

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Andoni ALaarhoven TRazenshteyn IWaingarten EKlein P(2017)Optimal hashing-based time-space trade-offs for approximate near neighborsProceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms10.5555/3039686.3039690(47-66)Online publication date: 16-Jan-2017
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Alman JWilliams R(2015)Probabilistic Polynomials and Hamming Nearest NeighborsProceedings of the 2015 IEEE 56th Annual Symposium on Foundations of Computer Science (FOCS)10.1109/FOCS.2015.18(136-150)Online publication date: 17-Oct-2015
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