Measuring centrality and dispersion in directional datasets: the ellipsoidal cone covering approach
Author
Abstract
Suggested Citation
DOI: 10.1007/s10898-016-0464-y
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Peng Sun & Robert M. Freund, 2004. "Computation of Minimum-Volume Covering Ellipsoids," Operations Research, INFORMS, vol. 52(5), pages 690-706, October.
- Annabella Astorino & Manlio Gaudioso & Alberto Seeger, 2014. "An illumination problem: optimal apex and optimal orientation for a cone of light," Journal of Global Optimization, Springer, vol. 58(4), pages 729-750, April.
- J. L. Goffin, 1980. "The Relaxation Method for Solving Systems of Linear Inequalities," Mathematics of Operations Research, INFORMS, vol. 5(3), pages 388-414, August.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Epelman, Marina A., 1973-. & Freund, Robert Michael, 1997. "Condition number complexity of an elementary algorithm for resolving a conic linear system," Working papers WP 3942-97., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Karim Abou-Moustafa & Frank P. Ferrie, 2018. "Local generalized quadratic distance metrics: application to the k-nearest neighbors classifier," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 12(2), pages 341-363, June.
- Wei-jie Cong & Le Wang & Hui Sun, 2020. "Rank-two update algorithm versus Frank–Wolfe algorithm with away steps for the weighted Euclidean one-center problem," Computational Optimization and Applications, Springer, vol. 75(1), pages 237-262, January.
- Amitabh Basu & Jesús A. De Loera & Mark Junod, 2014. "On Chubanov's Method for Linear Programming," INFORMS Journal on Computing, INFORMS, vol. 26(2), pages 336-350, May.
- Annabella Astorino & Manlio Gaudioso & Alberto Seeger, 2016. "Central axes and peripheral points in high dimensional directional datasets," Computational Optimization and Applications, Springer, vol. 65(2), pages 313-338, November.
- Guo, Xue-Ping, 2016. "Convergence studies on block iterative algorithms for image reconstruction," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 525-534.
- Efsun Kürüm & Gerhard-Wilhelm Weber & Cem Iyigun, 2018. "Early warning on stock market bubbles via methods of optimization, clustering and inverse problems," Annals of Operations Research, Springer, vol. 260(1), pages 293-320, January.
- Edoardo Amaldi & Raphael Hauser, 2005. "Boundedness Theorems for the Relaxation Method," Mathematics of Operations Research, INFORMS, vol. 30(4), pages 939-955, November.
- A. Astorino & M. Gaudioso & W. Khalaf, 2014. "Edge detection by spherical separation," Computational Management Science, Springer, vol. 11(4), pages 517-530, October.
- Daniele De Martino & Matteo Figliuzzi & Andrea De Martino & Enzo Marinari, 2012. "A Scalable Algorithm to Explore the Gibbs Energy Landscape of Genome-Scale Metabolic Networks," PLOS Computational Biology, Public Library of Science, vol. 8(6), pages 1-12, June.
- Daniel Dadush & László A. Végh & Giacomo Zambelli, 2020. "Rescaling Algorithms for Linear Conic Feasibility," Mathematics of Operations Research, INFORMS, vol. 45(2), pages 732-754, May.
- Rosa, Samuel & Harman, Radoslav, 2022. "Computing minimum-volume enclosing ellipsoids for large datasets," Computational Statistics & Data Analysis, Elsevier, vol. 171(C).
- Robert M. Freund & Fernando Ordóñez, 2005. "On an Extension of Condition Number Theory to Nonconic Convex Optimization," Mathematics of Operations Research, INFORMS, vol. 30(1), pages 173-194, February.
- E. Hendrix & I. García & J. Plaza & A. Plaza, 2013. "On the minimum volume simplex enclosure problem for estimating a linear mixing model," Journal of Global Optimization, Springer, vol. 56(3), pages 957-970, July.
- Minh N. Dao, & Hung M. Phan, 2019. "Linear Convergence of Projection Algorithms," Mathematics of Operations Research, INFORMS, vol. 44(2), pages 715-738, May.
- Wei-jie Cong & Hong-wei Liu & Feng Ye & Shui-sheng Zhou, 2012. "Rank-two update algorithms for the minimum volume enclosing ellipsoid problem," Computational Optimization and Applications, Springer, vol. 51(1), pages 241-257, January.
- Freund, Robert & Ordonez, Fernando, 2003. "On an Extension of Condition Number Theory to Non-Conic Convex Optimization," Working papers 4286-03, Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Hlubinka, Daniel & Šiman, Miroslav, 2013. "On elliptical quantiles in the quantile regression setup," Journal of Multivariate Analysis, Elsevier, vol. 116(C), pages 163-171.
- Cheung, Dennis & Cucker, Felipe & Pea, Javier, 2009. "On strata of degenerate polyhedral cones I: Condition and distance to strata," European Journal of Operational Research, Elsevier, vol. 198(1), pages 23-28, October.
- H. H. Bauschke & S. G. Kruk, 2004. "Reflection-Projection Method for Convex Feasibility Problems with an Obtuse Cone," Journal of Optimization Theory and Applications, Springer, vol. 120(3), pages 503-531, March.
More about this item
Keywords
Directional dataset; Circumscribed ellipsoidal cone; Central ray;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:jglopt:v:68:y:2017:i:2:d:10.1007_s10898-016-0464-y. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.