Curse of dimensionality (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Curse of dimensionality" in English language version.

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18doi.org

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10semanticscholar.org

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6nih.gov

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3books.google.com

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3arxiv.org

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2psu.edu

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2harvard.edu

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1youtube.com

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1elsevier.com

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1ams.org

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1cv-foundation.org

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1neurips.cc

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1wisc.edu

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1ieee.org

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1worldcat.org

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1lmu.de

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1springer.com

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1jmlr.org

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ams.org

mathscinet.ams.org

McLachlan, G. J. (2004). Discriminant Analysis and Statistical Pattern Recognition. Wiley Interscience. ISBN 978-0-471-69115-0. MR 1190469.

arxiv.org

Schroff, Florian; Kalenichenko, Dmitry; Philbin, James (June 2015). "FaceNet: A unified embedding for face recognition and clustering" (PDF). 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). pp. 815–823. arXiv:1503.03832. doi:10.1109/CVPR.2015.7298682. ISBN 978-1-4673-6964-0. S2CID 206592766.
Gorban, Alexander N.; Makarov, Valery A.; Tyukin, Ivan Y. (2020). "High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality". Entropy. 22 (1): 82. arXiv:2001.04959. Bibcode:2020Entrp..22...82G. doi:10.3390/e22010082. PMC 7516518. PMID 33285855.
Gorban, Alexander N.; Tyukin, Ivan Y. (2018). "Blessing of dimensionality: mathematical foundations of the statistical physics of data". Phil. Trans. R. Soc. A. 376 (2118): 20170237. arXiv:1801.03421. Bibcode:2018RSPTA.37670237G. doi:10.1098/rsta.2017.0237. PMC 5869543. PMID 29555807.

books.google.com

Bellman, Richard Ernest; Rand Corporation (1957). Dynamic programming. Princeton University Press. p. ix. ISBN 978-0-691-07951-6.,
Republished: Bellman, Richard Ernest (2003). Dynamic Programming. Courier Dover Publications. ISBN 978-0-486-42809-3.
Bellman, Richard Ernest (1961). Adaptive control processes: a guided tour. Princeton University Press. ISBN 9780691079011.
Taylor, C. Robert (1993). "Dynamic Programming and the Curses of Dimensionality". Applications Of Dynamic Programming To Agricultural Decision Problems. Westview Press. pp. 1–10. ISBN 0-8133-8641-1.

cv-foundation.org

Schroff, Florian; Kalenichenko, Dmitry; Philbin, James (June 2015). "FaceNet: A unified embedding for face recognition and clustering" (PDF). 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). pp. 815–823. arXiv:1503.03832. doi:10.1109/CVPR.2015.7298682. ISBN 978-1-4673-6964-0. S2CID 206592766.

doi.org

Hughes, G.F. (January 1968). "On the mean accuracy of statistical pattern recognizers". IEEE Transactions on Information Theory. 14 (1): 55–63. doi:10.1109/TIT.1968.1054102. S2CID 206729491.
Trunk, G. V. (July 1979). "A Problem of Dimensionality: A Simple Example". IEEE Transactions on Pattern Analysis and Machine Intelligence. PAMI-1 (3): 306–307. doi:10.1109/TPAMI.1979.4766926. PMID 21868861. S2CID 13086902.
B. Chandrasekaran; A. K. Jain (1974). "Quantization Complexity and Independent Measurements". IEEE Transactions on Computers. 23 (8): 102–106. doi:10.1109/T-C.1974.223789. S2CID 35360973.
Zollanvari, A.; James, A. P.; Sameni, R. (2020). "A Theoretical Analysis of the Peaking Phenomenon in Classification". Journal of Classification. 37 (2): 421–434. doi:10.1007/s00357-019-09327-3. S2CID 253851666.
Schroff, Florian; Kalenichenko, Dmitry; Philbin, James (June 2015). "FaceNet: A unified embedding for face recognition and clustering" (PDF). 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). pp. 815–823. arXiv:1503.03832. doi:10.1109/CVPR.2015.7298682. ISBN 978-1-4673-6964-0. S2CID 206592766.
Bailey, D.H.; Borwein, J.M.; Crandall, R.E. (2006), "Box integrals", Journal of Computational and Applied Mathematics, 206: 196–208, doi:10.1016/j.cam.2006.06.010, S2CID 2763194
Beyer, K.; Goldstein, J.; Ramakrishnan, R.; Shaft, U. (1999). "When is "Nearest Neighbor" Meaningful?". Database Theory — ICDT'99. LNCS. Vol. 1540. pp. 217–235. doi:10.1007/3-540-49257-7_15. ISBN 978-3-540-65452-0. S2CID 206634099.
Zimek, A.; Schubert, E.; Kriegel, H.-P. (2012). "A survey on unsupervised outlier detection in high-dimensional numerical data". Statistical Analysis and Data Mining. 5 (5): 363–387. doi:10.1002/sam.11161. S2CID 6724536.
Lin, Wen-Yan; Liu, Siying; Ren, Changhao; Cheung, Ngai-Man; Li, Hongdong; Matsushita, Yasuyuki (2021). "Shell Theory: A Statistical Model of Reality". IEEE Transactions on Pattern Analysis and Machine Intelligence. 44 (10): 6438–6453. doi:10.1109/TPAMI.2021.3084598. ISSN 1939-3539. PMID 34048335. S2CID 235242104.
Marimont, R.B.; Shapiro, M.B. (1979). "Nearest Neighbour Searches and the Curse of Dimensionality". IMA J Appl Math. 24 (1): 59–70. doi:10.1093/imamat/24.1.59.
Chávez, Edgar; Navarro, Gonzalo; Baeza-Yates, Ricardo; Marroquín, José Luis (2001). "Searching in Metric Spaces". ACM Computing Surveys. 33 (3): 273–321. CiteSeerX 10.1.1.100.7845. doi:10.1145/502807.502808. S2CID 3201604.
Houle, M. E.; Kriegel, H. P.; Kröger, P.; Schubert, E.; Zimek, A. (2010). Can Shared-Neighbor Distances Defeat the Curse of Dimensionality? (PDF). Scientific and Statistical Database Management. Lecture Notes in Computer Science. Vol. 6187. p. 482. doi:10.1007/978-3-642-13818-8_34. ISBN 978-3-642-13817-1.
Bernecker, T.; Houle, M. E.; Kriegel, H. P.; Kröger, P.; Renz, M.; Schubert, E.; Zimek, A. (2011). Quality of Similarity Rankings in Time Series. Symposium on Spatial and Temporal Databases. Lecture Notes in Computer Science. Vol. 6849. p. 422. doi:10.1007/978-3-642-22922-0_25. ISBN 978-3-642-22921-3.
Radovanović, M.; Nanopoulos, A.; Ivanović, M. (2010). On the existence of obstinate results in vector space models. 33rd international ACM SIGIR conference on Research and development in information retrieval - SIGIR '10. p. 186. doi:10.1145/1835449.1835482. ISBN 9781450301534.
Kainen, Paul C. (1997), "Utilizing Geometric Anomalies of High Dimension: When Complexity Makes Computation Easier", in Kárný, M.; Warwick, K. (eds.), Computer Intensive Methods in Control and Signal Processing, pp. 283–294, doi:10.1007/978-1-4612-1996-5_18, ISBN 978-1-4612-7373-8
Gorban, Alexander N.; Makarov, Valery A.; Tyukin, Ivan Y. (2020). "High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality". Entropy. 22 (1): 82. arXiv:2001.04959. Bibcode:2020Entrp..22...82G. doi:10.3390/e22010082. PMC 7516518. PMID 33285855.
Gorban, Alexander N.; Tyukin, Ivan Y. (2018). "Blessing of dimensionality: mathematical foundations of the statistical physics of data". Phil. Trans. R. Soc. A. 376 (2118): 20170237. arXiv:1801.03421. Bibcode:2018RSPTA.37670237G. doi:10.1098/rsta.2017.0237. PMC 5869543. PMID 29555807.
Pestov, Vladimir (2013). "Is the k-NN classifier in high dimensions affected by the curse of dimensionality?". Comput. Math. Appl. 65 (10): 43–56. doi:10.1016/j.camwa.2012.09.011.

elsevier.com

Koutroumbas, Konstantinos; Theodoridis, Sergios (2008). Pattern Recognition (4th ed.). Burlington. ISBN 978-1-59749-272-0. Retrieved 2018-01-08.{{cite book}}: CS1 maint: location missing publisher (link)

harvard.edu

ui.adsabs.harvard.edu

Gorban, Alexander N.; Makarov, Valery A.; Tyukin, Ivan Y. (2020). "High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality". Entropy. 22 (1): 82. arXiv:2001.04959. Bibcode:2020Entrp..22...82G. doi:10.3390/e22010082. PMC 7516518. PMID 33285855.
Gorban, Alexander N.; Tyukin, Ivan Y. (2018). "Blessing of dimensionality: mathematical foundations of the statistical physics of data". Phil. Trans. R. Soc. A. 376 (2118): 20170237. arXiv:1801.03421. Bibcode:2018RSPTA.37670237G. doi:10.1098/rsta.2017.0237. PMC 5869543. PMID 29555807.

ieee.org

ieeexplore.ieee.org

Lin, Wen-Yan; Liu, Siying; Ren, Changhao; Cheung, Ngai-Man; Li, Hongdong; Matsushita, Yasuyuki (2021). "Shell Theory: A Statistical Model of Reality". IEEE Transactions on Pattern Analysis and Machine Intelligence. 44 (10): 6438–6453. doi:10.1109/TPAMI.2021.3084598. ISSN 1939-3539. PMID 34048335. S2CID 235242104.

jmlr.org

Radovanović, Miloš; Nanopoulos, Alexandros; Ivanović, Mirjana (2010). "Hubs in space: Popular nearest neighbors in high-dimensional data" (PDF). Journal of Machine Learning Research. 11: 2487–2531.

lmu.de

dbs.ifi.lmu.de

Houle, M. E.; Kriegel, H. P.; Kröger, P.; Schubert, E.; Zimek, A. (2010). Can Shared-Neighbor Distances Defeat the Curse of Dimensionality? (PDF). Scientific and Statistical Database Management. Lecture Notes in Computer Science. Vol. 6187. p. 482. doi:10.1007/978-3-642-13818-8_34. ISBN 978-3-642-13817-1.

neurips.cc

proceedings.neurips.cc

Yin, Zi; Shen, Yuanyuan (2018). "On the Dimensionality of Word Embedding" (PDF). Advances in Neural Information Processing Systems. 31. Curran Associates, Inc.

nih.gov

pubmed.ncbi.nlm.nih.gov

Trunk, G. V. (July 1979). "A Problem of Dimensionality: A Simple Example". IEEE Transactions on Pattern Analysis and Machine Intelligence. PAMI-1 (3): 306–307. doi:10.1109/TPAMI.1979.4766926. PMID 21868861. S2CID 13086902.
Lin, Wen-Yan; Liu, Siying; Ren, Changhao; Cheung, Ngai-Man; Li, Hongdong; Matsushita, Yasuyuki (2021). "Shell Theory: A Statistical Model of Reality". IEEE Transactions on Pattern Analysis and Machine Intelligence. 44 (10): 6438–6453. doi:10.1109/TPAMI.2021.3084598. ISSN 1939-3539. PMID 34048335. S2CID 235242104.
Gorban, Alexander N.; Makarov, Valery A.; Tyukin, Ivan Y. (2020). "High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality". Entropy. 22 (1): 82. arXiv:2001.04959. Bibcode:2020Entrp..22...82G. doi:10.3390/e22010082. PMC 7516518. PMID 33285855.
Gorban, Alexander N.; Tyukin, Ivan Y. (2018). "Blessing of dimensionality: mathematical foundations of the statistical physics of data". Phil. Trans. R. Soc. A. 376 (2118): 20170237. arXiv:1801.03421. Bibcode:2018RSPTA.37670237G. doi:10.1098/rsta.2017.0237. PMC 5869543. PMID 29555807.

ncbi.nlm.nih.gov

Gorban, Alexander N.; Makarov, Valery A.; Tyukin, Ivan Y. (2020). "High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality". Entropy. 22 (1): 82. arXiv:2001.04959. Bibcode:2020Entrp..22...82G. doi:10.3390/e22010082. PMC 7516518. PMID 33285855.
Gorban, Alexander N.; Tyukin, Ivan Y. (2018). "Blessing of dimensionality: mathematical foundations of the statistical physics of data". Phil. Trans. R. Soc. A. 376 (2118): 20170237. arXiv:1801.03421. Bibcode:2018RSPTA.37670237G. doi:10.1098/rsta.2017.0237. PMC 5869543. PMID 29555807.

psu.edu

citeseerx.ist.psu.edu

Chávez, Edgar; Navarro, Gonzalo; Baeza-Yates, Ricardo; Marroquín, José Luis (2001). "Searching in Metric Spaces". ACM Computing Surveys. 33 (3): 273–321. CiteSeerX 10.1.1.100.7845. doi:10.1145/502807.502808. S2CID 3201604.
Donoho, David L. (2000), "High-Dimensional Data Analysis: The Curses and Blessings of Dimensionality", Invited lecture at Mathematical Challenges of the 21st Century, AMS National Meeting, Los Angeles, CA, USA, August 6-12, 2000, CiteSeerX 10.1.1.329.3392

semanticscholar.org

api.semanticscholar.org

Hughes, G.F. (January 1968). "On the mean accuracy of statistical pattern recognizers". IEEE Transactions on Information Theory. 14 (1): 55–63. doi:10.1109/TIT.1968.1054102. S2CID 206729491.
Trunk, G. V. (July 1979). "A Problem of Dimensionality: A Simple Example". IEEE Transactions on Pattern Analysis and Machine Intelligence. PAMI-1 (3): 306–307. doi:10.1109/TPAMI.1979.4766926. PMID 21868861. S2CID 13086902.
B. Chandrasekaran; A. K. Jain (1974). "Quantization Complexity and Independent Measurements". IEEE Transactions on Computers. 23 (8): 102–106. doi:10.1109/T-C.1974.223789. S2CID 35360973.
Zollanvari, A.; James, A. P.; Sameni, R. (2020). "A Theoretical Analysis of the Peaking Phenomenon in Classification". Journal of Classification. 37 (2): 421–434. doi:10.1007/s00357-019-09327-3. S2CID 253851666.
Schroff, Florian; Kalenichenko, Dmitry; Philbin, James (June 2015). "FaceNet: A unified embedding for face recognition and clustering" (PDF). 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). pp. 815–823. arXiv:1503.03832. doi:10.1109/CVPR.2015.7298682. ISBN 978-1-4673-6964-0. S2CID 206592766.
Bailey, D.H.; Borwein, J.M.; Crandall, R.E. (2006), "Box integrals", Journal of Computational and Applied Mathematics, 206: 196–208, doi:10.1016/j.cam.2006.06.010, S2CID 2763194
Beyer, K.; Goldstein, J.; Ramakrishnan, R.; Shaft, U. (1999). "When is "Nearest Neighbor" Meaningful?". Database Theory — ICDT'99. LNCS. Vol. 1540. pp. 217–235. doi:10.1007/3-540-49257-7_15. ISBN 978-3-540-65452-0. S2CID 206634099.
Zimek, A.; Schubert, E.; Kriegel, H.-P. (2012). "A survey on unsupervised outlier detection in high-dimensional numerical data". Statistical Analysis and Data Mining. 5 (5): 363–387. doi:10.1002/sam.11161. S2CID 6724536.
Lin, Wen-Yan; Liu, Siying; Ren, Changhao; Cheung, Ngai-Man; Li, Hongdong; Matsushita, Yasuyuki (2021). "Shell Theory: A Statistical Model of Reality". IEEE Transactions on Pattern Analysis and Machine Intelligence. 44 (10): 6438–6453. doi:10.1109/TPAMI.2021.3084598. ISSN 1939-3539. PMID 34048335. S2CID 235242104.
Chávez, Edgar; Navarro, Gonzalo; Baeza-Yates, Ricardo; Marroquín, José Luis (2001). "Searching in Metric Spaces". ACM Computing Surveys. 33 (3): 273–321. CiteSeerX 10.1.1.100.7845. doi:10.1145/502807.502808. S2CID 3201604.

springer.com

link.springer.com

James, Gareth; Witten, Daniela; Hastie, Trevor; Tibshirani, Robert (2021). An introduction to statistical learning: with applications in R (Second ed.). New York, NY: Springer. p. 122. ISBN 978-1-0716-1418-1. Retrieved 1 November 2024.

wisc.edu

digital.library.wisc.edu

Beyer, K.; Goldstein, J.; Ramakrishnan, R.; Shaft, U. (1999). "When is "Nearest Neighbor" Meaningful?". Database Theory — ICDT'99. LNCS. Vol. 1540. pp. 217–235. doi:10.1007/3-540-49257-7_15. ISBN 978-3-540-65452-0. S2CID 206634099.

worldcat.org

search.worldcat.org

Lin, Wen-Yan; Liu, Siying; Ren, Changhao; Cheung, Ngai-Man; Li, Hongdong; Matsushita, Yasuyuki (2021). "Shell Theory: A Statistical Model of Reality". IEEE Transactions on Pattern Analysis and Machine Intelligence. 44 (10): 6438–6453. doi:10.1109/TPAMI.2021.3084598. ISSN 1939-3539. PMID 34048335. S2CID 235242104.

youtube.com

Udacity (2015-02-23). "Curse of Dimensionality - Georgia Tech - Machine Learning". YouTube. Retrieved 2022-06-29.