Determining the number of clusters in a data set (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Determining the number of clusters in a data set" in English language version.

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Schubert, Erich (2023-06-22). "Stop using the elbow criterion for k-means and how to choose the number of clusters instead". ACM SIGKDD Explorations Newsletter. 25 (1): 36–42. arXiv:2212.12189. doi:10.1145/3606274.3606278. ISSN 1931-0145.

arxiv.org

Schubert, Erich (2023-06-22). "Stop using the elbow criterion for k-means and how to choose the number of clusters instead". ACM SIGKDD Explorations Newsletter. 25 (1): 36–42. arXiv:2212.12189. doi:10.1145/3606274.3606278. ISSN 1931-0145.
R.C. de Amorim & C. Hennig (2015). "Recovering the number of clusters in data sets with noise features using feature rescaling factors". Information Sciences. 324: 126–145. arXiv:1602.06989. doi:10.1016/j.ins.2015.06.039. S2CID 315803.
Brodinová, Šárka; Filzmoser, Peter; Ortner, Thomas; Breiteneder, Christian; Rohm, Maia (2019-03-19). "Robust and sparse k-means clustering for high-dimensional data". Advances in Data Analysis and Classification. arXiv:1709.10012. doi:10.1007/s11634-019-00356-9. ISSN 1862-5347.

cmu.edu

cs.cmu.edu

D. Pelleg; AW Moore. X-means: Extending K-means with Efficient Estimation of the Number of Clusters (PDF). Proceedings of the Seventeenth International Conference on Machine Learning (ICML 2000). Retrieved 2016-08-16.

doi.org

See, e.g., David J. Ketchen Jr; Christopher L. Shook (1996). "The application of cluster analysis in Strategic Management Research: An analysis and critique". Strategic Management Journal. 17 (6): 441–458. doi:10.1002/(SICI)1097-0266(199606)17:6<441::AID-SMJ819>3.0.CO;2-G.^{[dead link]}
Schubert, Erich (2023-06-22). "Stop using the elbow criterion for k-means and how to choose the number of clusters instead". ACM SIGKDD Explorations Newsletter. 25 (1): 36–42. arXiv:2212.12189. doi:10.1145/3606274.3606278. ISSN 1931-0145.
See, e.g., Figure 6 in
- Cyril Goutte, Peter Toft, Egill Rostrup, Finn Årup Nielsen, Lars Kai Hansen (March 1999). "On Clustering fMRI Time Series". NeuroImage. 9 (3): 298–310. doi:10.1006/nimg.1998.0391. PMID 10075900. S2CID 14147564.{{cite journal}}: CS1 maint: multiple names: authors list (link)
- Robert L. Thorndike (December 1953). "Who Belongs in the Family?". Psychometrika. 18 (4): 267–276. doi:10.1007/BF02289263. S2CID 120467216.
- Cyril Goutte, Lars Kai Hansen, Matthew G. Liptrot & Egill Rostrup (2001). "Feature-Space Clustering for fMRI Meta-Analysis". Human Brain Mapping. 13 (3): 165–183. doi:10.1002/hbm.1031. PMC 6871985. PMID 11376501.{{cite journal}}: CS1 maint: multiple names: authors list (link) see especially Figure 14 and appendix.
- Catherine A. Sugar; Gareth M. James (2003). "Finding the number of clusters in a data set: An information-theoretic approach". Journal of the American Statistical Association. 98 (January): 750–763. doi:10.1198/016214503000000666. S2CID 120113332.
- Peter J. Rousseuw (1987). "Silhouettes: a Graphical Aid to the Interpretation and Validation of Cluster Analysis". Computational and Applied Mathematics. 20: 53–65. doi:10.1016/0377-0427(87)90125-7.
- R. Lleti; M.C. Ortiz; L.A. Sarabia; M.S. Sánchez (2004). "Selecting Variables for k-Means Cluster Analysis by Using a Genetic Algorithm that Optimises the Silhouettes". Analytica Chimica Acta. 515: 87–100. doi:10.1016/j.aca.2003.12.020.
- R.C. de Amorim & C. Hennig (2015). "Recovering the number of clusters in data sets with noise features using feature rescaling factors". Information Sciences. 324: 126–145. arXiv:1602.06989. doi:10.1016/j.ins.2015.06.039. S2CID 315803.
- Can, F.; Ozkarahan, E. A. (1990). "Concepts and effectiveness of the cover-coefficient-based clustering methodology for text databases". ACM Transactions on Database Systems. 15 (4): 483. doi:10.1145/99935.99938. hdl:2374.MIA/246. S2CID 14309214. especially see Section 2.7.
- Honarkhah, M; Caers, J (2010). "Stochastic Simulation of Patterns Using Distance-Based Pattern Modeling". Mathematical Geosciences. 42 (5): 487–517. doi:10.1007/s11004-010-9276-7. S2CID 73657847.
- Robert Tibshirani; Guenther Walther; Trevor Hastie (2001). "Estimating the number of clusters in a data set via the gap statistic". Journal of the Royal Statistical Society, Series B. 63 (2): 411–423. doi:10.1111/1467-9868.00293. S2CID 59738652.
- Brodinová, Šárka; Filzmoser, Peter; Ortner, Thomas; Breiteneder, Christian; Rohm, Maia (2019-03-19). "Robust and sparse k-means clustering for high-dimensional data". Advances in Data Analysis and Classification. arXiv:1709.10012. doi:10.1007/s11634-019-00356-9. ISSN 1862-5347.

handle.net

hdl.handle.net

Can, F.; Ozkarahan, E. A. (1990). "Concepts and effectiveness of the cover-coefficient-based clustering methodology for text databases". ACM Transactions on Database Systems. 15 (4): 483. doi:10.1145/99935.99938. hdl:2374.MIA/246. S2CID 14309214. especially see Section 2.7.

nih.gov

pubmed.ncbi.nlm.nih.gov

See, e.g., Figure 6 in
- Cyril Goutte, Peter Toft, Egill Rostrup, Finn Årup Nielsen, Lars Kai Hansen (March 1999). "On Clustering fMRI Time Series". NeuroImage. 9 (3): 298–310. doi:10.1006/nimg.1998.0391. PMID 10075900. S2CID 14147564.{{cite journal}}: CS1 maint: multiple names: authors list (link)
- Cyril Goutte, Lars Kai Hansen, Matthew G. Liptrot & Egill Rostrup (2001). "Feature-Space Clustering for fMRI Meta-Analysis". Human Brain Mapping. 13 (3): 165–183. doi:10.1002/hbm.1031. PMC 6871985. PMID 11376501.{{cite journal}}: CS1 maint: multiple names: authors list (link) see especially Figure 14 and appendix.
ncbi.nlm.nih.gov
- Cyril Goutte, Lars Kai Hansen, Matthew G. Liptrot & Egill Rostrup (2001). "Feature-Space Clustering for fMRI Meta-Analysis". Human Brain Mapping. 13 (3): 165–183. doi:10.1002/hbm.1031. PMC 6871985. PMID 11376501.{{cite journal}}: CS1 maint: multiple names: authors list (link) see especially Figure 14 and appendix.

r-project.org

cran.r-project.org

"cluster R package". 28 March 2022.

semanticscholar.org

api.semanticscholar.org

See, e.g., Figure 6 in
- Cyril Goutte, Peter Toft, Egill Rostrup, Finn Årup Nielsen, Lars Kai Hansen (March 1999). "On Clustering fMRI Time Series". NeuroImage. 9 (3): 298–310. doi:10.1006/nimg.1998.0391. PMID 10075900. S2CID 14147564.{{cite journal}}: CS1 maint: multiple names: authors list (link)
- Robert L. Thorndike (December 1953). "Who Belongs in the Family?". Psychometrika. 18 (4): 267–276. doi:10.1007/BF02289263. S2CID 120467216.
- Catherine A. Sugar; Gareth M. James (2003). "Finding the number of clusters in a data set: An information-theoretic approach". Journal of the American Statistical Association. 98 (January): 750–763. doi:10.1198/016214503000000666. S2CID 120113332.
- R.C. de Amorim & C. Hennig (2015). "Recovering the number of clusters in data sets with noise features using feature rescaling factors". Information Sciences. 324: 126–145. arXiv:1602.06989. doi:10.1016/j.ins.2015.06.039. S2CID 315803.
- Can, F.; Ozkarahan, E. A. (1990). "Concepts and effectiveness of the cover-coefficient-based clustering methodology for text databases". ACM Transactions on Database Systems. 15 (4): 483. doi:10.1145/99935.99938. hdl:2374.MIA/246. S2CID 14309214. especially see Section 2.7.
- Honarkhah, M; Caers, J (2010). "Stochastic Simulation of Patterns Using Distance-Based Pattern Modeling". Mathematical Geosciences. 42 (5): 487–517. doi:10.1007/s11004-010-9276-7. S2CID 73657847.
- Robert Tibshirani; Guenther Walther; Trevor Hastie (2001). "Estimating the number of clusters in a data set via the gap statistic". Journal of the Royal Statistical Society, Series B. 63 (2): 411–423. doi:10.1111/1467-9868.00293. S2CID 59738652.

springer.com

link.springer.com

Brodinová, Šárka; Filzmoser, Peter; Ortner, Thomas; Breiteneder, Christian; Rohm, Maia (2019-03-19). "Robust and sparse k-means clustering for high-dimensional data". Advances in Data Analysis and Classification. arXiv:1709.10012. doi:10.1007/s11634-019-00356-9. ISSN 1862-5347.

wiley.com

www3.interscience.wiley.com

See, e.g., David J. Ketchen Jr; Christopher L. Shook (1996). "The application of cluster analysis in Strategic Management Research: An analysis and critique". Strategic Management Journal. 17 (6): 441–458. doi:10.1002/(SICI)1097-0266(199606)17:6<441::AID-SMJ819>3.0.CO;2-G.^{[dead link]}

worldcat.org

search.worldcat.org

Schubert, Erich (2023-06-22). "Stop using the elbow criterion for k-means and how to choose the number of clusters instead". ACM SIGKDD Explorations Newsletter. 25 (1): 36–42. arXiv:2212.12189. doi:10.1145/3606274.3606278. ISSN 1931-0145.
Brodinová, Šárka; Filzmoser, Peter; Ortner, Thomas; Breiteneder, Christian; Rohm, Maia (2019-03-19). "Robust and sparse k-means clustering for high-dimensional data". Advances in Data Analysis and Classification. arXiv:1709.10012. doi:10.1007/s11634-019-00356-9. ISSN 1862-5347.