The DOI matches its Crossref record; 44 of the 44 references it cites were found in a registry or an index.
Algorithmic applications of low-distortion geometric embeddings
Abstract
The author surveys algorithmic results obtained using low-distortion embeddings of metric spaces into (mostly) normed spaces. He shows that low-distortion embeddings provide a powerful and versatile toolkit for solving algorithmic problems. Their fundamental nature makes them applicable in a variety of diverse settings, while their relation to rich mathematical fields (e.g., functional analysis) ensures availability of tools for their construction.
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Citations
Cites
Approximate nearest neighbors: towards removing the curse of dimensionality
Indyk, P., & Motwani, R. (1998) · Proceedings of the thirtieth annual ACM symposium on Theory of computing - STOC '98 · doi:10.1145/276698.276876 · Cited by 4,188
Self-citationThe space complexity of approximating the frequency moments
Alon, N., Matias, Y., & Szegedy, M. (1996) · Proceedings of the twenty-eighth annual ACM symposium on Theory of computing - STOC '96 · doi:10.1145/237814.237823 · Cited by 822
Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms
Leighton, T., & Rao, S. (1999) · Journal of the ACM · doi:10.1145/331524.331526 · Cited by 820
Database-friendly random projections
Achlioptas, D. (2001) · Proceedings of the twentieth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems · doi:10.1145/375551.375608 · Cited by 699
On an extremal problem in graph theory
Erdös, P. (1964) · Colloquium Mathematicum · doi:10.4064/cm-13-2-251-254 · Cited by 646
Probabilistic approximation of metric spaces and its algorithmic applications
Bartal, Y. (2002) · Proceedings of 37th Conference on Foundations of Computer Science · doi:10.1109/sfcs.1996.548477 · Cited by 635
Ritter, H., & Kohonen, T. (1989) · Biological Cybernetics · doi:10.1007/bf00203171 · Cited by 621
Learning mixtures of Gaussians
Dasgupta, S. (2003) · 40th Annual Symposium on Foundations of Computer Science (Cat. No.99CB37039) · doi:10.1109/sffcs.1999.814639 · Cited by 588
On lipschitz embedding of finite metric spaces in Hilbert space
Bourgain, J. (1985) · Israel Journal of Mathematics · doi:10.1007/bf02776078 · Cited by 560
Wavelet-based histograms for selectivity estimation
Matias, Y., Vitter, J. S., & Wang, M. (1998) · Proceedings - ACM-SIGMOD International Conference on Management of Data · doi:10.1145/276304.276344 · Cited by 425
Metadata
- Authors
- Indyk, P.
- Venue
- Proceedings 42nd IEEE Symposium on Foundations of Computer Science
- Publisher
- IEEE
- Published
- 2001
- Pages
- 10-33
- ISSN
- 0272-5428 (ISSN-L)
- OpenAlex
- W1530239281
- Cited by
- 253
- References
- 44
- FWCI
- 8.64
- Type
- conference paper
- Language
- en
- Open access
- closed
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- Indyk, P. (2001). Algorithmic applications of low-distortion geometric embeddings. Proceedings 42nd IEEE Symposium on Foundations of Computer Science. https://doi.org/10.1109/sfcs.2001.959878
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
