The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
An Intrinsic Dimensionality Estimator from Near-Neighbor Information
Abstract
The intrinsic dimensionality of a set of patterns is important in determining an appropriate number of features for representing the data and whether a reasonable two- or three-dimensional representation of the data exists. We propose an intuitively appealing, noniterative estimator for intrinsic dimensionality which is based on nearneighbor information. We give plausible arguments supporting the consistency of this estimator. The method works well in identifying the true dimensionality for a variety of artificial data sets and is fairly insensitive to the number of samples and to the algorithmic parameters. Comparisons between this new method and the global eigenvalue approach demonstrate the utility of our estimator.
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Cites
Nearest neighbor pattern classification
Cover, T., & Hart, P. (1967) · IEEE Transactions on Information Theory · doi:10.1109/tit.1967.1053964 · Cited by 16,936
Cited by
Small sample size effects in statistical pattern recognition: Recommendations for practitioners
Raudys, S. J., & Jain, A. K. (1991) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.75512 · Cited by 1,384
Self-citation39 Dimensionality and sample size considerations in pattern recognition practice
Jain, A. K., & Chandrasekaran, B. (1982) · Handbook of Statistics · doi:10.1016/s0169-7161(82)02042-2 · Cited by 560
Self-citationLin, T., & Zha, H. (2008) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2007.70735 · Cited by 446
Incremental nonlinear dimensionality reduction by manifold learning
Law, M. H. C., & Jain, A. K. (2006) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2006.56 · Cited by 284
Self-citationOn the Intrinsic Dimensionality of Image Representations
Gong, S., Boddeti, V. N., & Jain, A. K. (2019) · 2019 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) · doi:10.1109/cvpr.2019.00411 · Cited by 59
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Metadata
- Authors
- Pettis, K. W., Bailey, T. A., Jain, A. K., & Dubes, R. C.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 1979-01
- Volume
- PAMI-1
- Issue
- 1
- Pages
- 25-37
- ISSN
- 0162-8828 (ISSN-L)
- OpenAlex
- W2106754084
- Cited by
- 218
- References
- 1
- FWCI
- 3.01
- Type
- journal article
- Language
- en
- Open access
- closed
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- Pettis, K. W., Bailey, T. A., Jain, A. K., & Dubes, R. C. (1979). An Intrinsic Dimensionality Estimator from Near-Neighbor Information. IEEE Transactions on Pattern Analysis and Machine Intelligence. https://doi.org/10.1109/tpami.1979.4766873
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