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https://hdl.handle.net/1822/54413
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Campo DC | Valor | Idioma |
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dc.contributor.author | Machado, L. | por |
dc.contributor.author | Monteiro, M. Teresa T. | por |
dc.date.accessioned | 2018-04-17T15:18:16Z | - |
dc.date.issued | 2015-09-02 | - |
dc.identifier.citation | Machado, L., & Monteiro, M. T. T. (2015). Geodesic regression on spheres from a numerical optimization viewpoint. International Journal of Computer Mathematics, 92(9), 1935-1945 | por |
dc.identifier.issn | 0020-7160 | - |
dc.identifier.uri | https://hdl.handle.net/1822/54413 | - |
dc.description.abstract | In the geodesic regression problem it is given a set of data points at known times and the goal is to find a geodesic that best fits the data. This problem corresponds to the generalization of the classical linear regression problem to curved spaces. Here we are interested in the geodesic regression problem on Euclidean spheres. Contrary to the Euclidean situation, the normal equations turn out to be highly nonlinear. To overcome this difficulty, we look at the geodesic regression problem in the unit n-sphere as an optimization problem in the Euclidean space Double-struck capital Rn+1 and use the MATLAB optimization toolbox to solve it numerically. | por |
dc.description.sponsorship | - This work is funded by FEDER funds through Operational Programme for Competitiveness Factors - COMPETE and National Funds through Foundation for Science and Technology (FCT) in Projects scope: FCOMP-01-0124-FEDER-022674 and PTDC/EEA-CRO/122812/2010. | por |
dc.language.iso | eng | por |
dc.publisher | Taylor & Francis Ltd | por |
dc.rights | restrictedAccess | por |
dc.subject | 90C30 | por |
dc.subject | 58C05 | por |
dc.subject | 65K05 | por |
dc.subject | 53B21 | por |
dc.subject | 65D10 | por |
dc.subject | Geodesic distance | por |
dc.subject | Sequential quadratic programming | por |
dc.subject | Normal equations | por |
dc.subject | Constrained nonlinear optimization | por |
dc.subject | Geodesics | por |
dc.title | Geodesic regression on spheres from a numerical optimization viewpoint | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | https://www.tandfonline.com/doi/abs/10.1080/00207160.2014.884277 | por |
oaire.citationStartPage | 1935 | por |
oaire.citationEndPage | 1945 | por |
oaire.citationIssue | 9 | por |
oaire.citationVolume | 92 | por |
dc.date.updated | 2018-04-17T13:19:08Z | - |
dc.identifier.doi | 10.1080/00207160.2014.884277 | por |
dc.subject.fos | Ciências Naturais::Ciências da Computação e da Informação | por |
dc.description.publicationversion | info:eu-repo/semantics/publishedVersion | por |
dc.subject.wos | Science & Technology | - |
sdum.export.identifier | 5110 | - |
sdum.journal | International Journal of Computer Mathematics | por |
Aparece nas coleções: | CAlg - Artigos em revistas internacionais / Papers in international journals |
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machado_monteiro.pdf Acesso restrito! | 274,73 kB | Adobe PDF | Ver/Abrir |