Nothing Special   »   [go: up one dir, main page]

skip to main content
10.1145/301250.301325acmconferencesArticle/Chapter ViewAbstractPublication PagesstocConference Proceedingsconference-collections
Article
Free access

A lower bound on the complexity of approximate nearest-neighbor searching on the Hamming cube

Published: 01 May 1999 Publication History
First page of PDF

References

[1]
Ajtai, M. A lower bound for finding predecessors in Yao's celt probe model, Combinatorica, 8 (1988), 235-247.
[2]
Arya, S., Mount, D.M. Appro~mate nearest neighbor searching, Proc. 4th Annu. ACM-SIAM Symp. Disc. Alg. (1993), 271-280.
[3]
Arya, S., Mount, D.M., Narayan, O. Accounting for boundary effects in nearest-neighbor searching, Disc. Comput. Geom, 16 (1996), 155-176.
[4]
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.
[5]
Beame, P., Fich, F. Optimal bounds for the predecessor problem, manuscript, }998.
[6]
Bern, M. Approximate closest-point queries in high dimensions, Inform. Process. Lett., 45 (1993), 95-99.
[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).
[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.
[9]
Chan, T. Approximate nearest neighbor queries revisited, Proc. 13th Annu. ACM Symp. Comput. Geom. (1997), 352-358.
[10]
Cha~etle, B. The Discrepancy Method: Randomness and Complexity, manuscript, to appear.
[11]
Clarkson, K.L. A probabiIistic algorithm for the post o~ce problem, Proc. 17th Annu. ACM Symp. Theory Comput. (1985), 175-t84.9
[12]
Clarkson, K.L. A randomized algorithm for closestpoint queries, SIAM J. Comput., 17 (1988), 830-847.
[13]
Clarkson, K.L. An algorithm for approximate closest-point queries, Proc. 10th Annu. ACM Symp. Comput. Geom. l0 (1994), I60-164.
[14]
Graham, R.L., Knuth, D.E., Patashnik, O. Concrete Mathematics: A Foundation for Computer Science, 2rid ed., Addison-Wesley, 1994.
[15]
Hoeffding, W. Probability inequalities for sums oj~ bounded random variables, J. Amer. Stat. Assoc., 58 (~a), ~a-ao.
[16]
Indyk, P., Motwani, R. Approximate nearest neighbors: towards removing the curse of dimensionality, Proc. 30{h ACM Symp. Theory Comput. (1998), 604-613.
[17]
Karchmer, M., Wigderson, A. Monotone circuits for connectivity require super-logarithmic depth, SIAM J. Disc. Math., 2 (t990).
[18]
Kteinberg, J.M. Two algorithms for nearest neighbor search in high dimensions, Proc. 29th Annu. ACM Syrup. Theory Comput. (1997), 599-608.
[19]
Kushilevit~z, E., Nisan, N. Communication Complexity, Cambridge University Press, 1997
[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.
[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.
[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.
[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.
[24]
Motwani, R., Raghawn, P. Randomized Algorithms, Cambridge University Press, 1995.
[25]
Xiao, B. New Bounds in Cell Probe Model, PhD Thesis, UC San Diego, 1992.
[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:~.
[27]
Yao, A.C. Should tables be sorted?, J. ACM, 28 (~gs~), 6~$-6~s.

Cited By

View all
  • (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
  • (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
  • (2014)SRSProceedings of the VLDB Endowment10.14778/2735461.27354628:1(1-12)Online publication date: 1-Sep-2014
  • Show More Cited By

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image ACM Conferences
STOC '99: Proceedings of the thirty-first annual ACM symposium on Theory of Computing
May 1999
790 pages
ISBN:1581130678
DOI:10.1145/301250
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Sponsors

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 May 1999

Permissions

Request permissions for this article.

Check for updates

Qualifiers

  • Article

Conference

STOC99
Sponsor:
STOC99: ACM Symposium on Theory of Computing
May 1 - 4, 1999
Georgia, Atlanta, USA

Acceptance Rates

Overall Acceptance Rate 1,469 of 4,586 submissions, 32%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)21
  • Downloads (Last 6 weeks)4
Reflects downloads up to 14 Nov 2024

Other Metrics

Citations

Cited By

View all
  • (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
  • (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
  • (2014)SRSProceedings of the VLDB Endowment10.14778/2735461.27354628:1(1-12)Online publication date: 1-Sep-2014
  • (2013)Computing (and Life) Is All about TradeoffsSpace-Efficient Data Structures, Streams, and Algorithms10.1007/978-3-642-40273-9_9(112-132)Online publication date: 2013
  • (2012)Reordering rows for better compressionACM Transactions on Database Systems10.1145/2338626.233863337:3(1-29)Online publication date: 6-Sep-2012
  • (2012)NNS lower bounds via metric expansion for lProceedings of the 39th international colloquium conference on Automata, Languages, and Programming - Volume Part I10.1007/978-3-642-31594-7_46(545-556)Online publication date: 9-Jul-2012
  • (2011)Relational space classification for malaria diagnosisPattern Analysis & Applications10.1007/s10044-011-0224-z14:3(261-272)Online publication date: 1-Aug-2011
  • (2010)Lower Bounds on Near Neighbor Search via Metric ExpansionProceedings of the 2010 IEEE 51st Annual Symposium on Foundations of Computer Science10.1109/FOCS.2010.82(805-814)Online publication date: 23-Oct-2010
  • (2008)(Data) STRUCTURESProceedings of the 2008 49th Annual IEEE Symposium on Foundations of Computer Science10.1109/FOCS.2008.69(434-443)Online publication date: 25-Oct-2008
  • (2008)A Geometric Approach to Lower Bounds for Approximate Near-Neighbor Search and Partial MatchProceedings of the 2008 49th Annual IEEE Symposium on Foundations of Computer Science10.1109/FOCS.2008.68(414-423)Online publication date: 25-Oct-2008
  • Show More Cited By

View Options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Get Access

Login options

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media