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Regularity, continuity and approximation of isotropic Gaussian random fields on compact two-point homogeneous spaces
| Indexado |
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| DOI | 10.1016/J.SPA.2020.02.003 | ||||
| Año | 2020 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
Gaussian random fields defined over compact two-point homogeneous spaces are considered and Sobolev regularity and Hölder continuity are explored through spectral representations. It is shown how spectral properties of the covariance function associated to a given Gaussian random field are crucial to determine such regularities and geometric properties. Furthermore, fast approximations of random fields on compact two-point homogeneous spaces are derived by truncation of the series expansion, and a suitable bound for the error involved in such an approximation is provided.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Cleanthous, Galatia | - |
Trinity College Dublin - Irlanda
Trinity Coll Dublin - Irlanda |
| 2 | Georgiadis, Athanasios G. | Hombre |
Trinity College Dublin - Irlanda
Trinity Coll Dublin - Irlanda |
| 3 | Lang, Annika | Mujer |
Chalmers University of Technology - Suecia
Chalmers Univ Technol - Suecia Univ Gothenburg - Suecia |
| 4 | Porcu, Emilio | Hombre |
Trinity College Dublin - Irlanda
Núcleo Milenio Centro para el Descubrimiento de Estructuras en Datos Complejos - Chile Trinity Coll Dublin - Irlanda Millennium Nucleus Ctr Discovery Struct Complex D - Chile Millennium Nucleus Center for the Discovery of Structures in Complex Data - Chile |
| Fuente |
|---|
| Fondo Nacional de Desarrollo Científico y Tecnológico |
| Comisión Nacional de Investigación Científica y Tecnológica |
| Ministerio de Economía, Fomento y Turismo, Chile |
| European Regional Development Fund |
| Swedish Research Council |
| Vetenskapsrådet |
| European Regional Development Fund (ERDF) |
| Science Foundation Ireland |
| Vetenskapsradet |
| CONICYT/FONDECYT/REGULAR |
| Chilean Commission for Scientific and Technological Research |
| CONICYT/FONDECYT/REGULAR from the Chilean Commission for Scientific and Technological Research |
| Millennium Nucleus Center |
| Ministry of Economy, Development, and Tourism |
| Knut och Alice Wallenbergs Stiftelse |
| Trinity College Dublin |
| Regular |
| Millennium Science Initiative of the Ministry of Economy, Development, and Tourism, grant "Millennium Nucleus Center for the Discovery of Structures in Complex Data" |
| Wallenberg AI, Autonomous Systems and Software Program (WASP) - Knut and Alice Wallenberg Foundation |
| Science Foundation Ireland through the SFI Research Centres Programme |
| Science Foundation Ireland under ADAPT SFI Research Centre at Trinity College Dublin |
| Agradecimiento |
|---|
| The authors wish to thank the anonymous Referee for helpful comments, especially on the relation of isotropic and mean square continuous GRFs, which helped to improve the manuscript. The work of AL was supported in part by the Swedish Research Council under Reg. No. 621-2014-3995 and by the Wallenberg AI, Autonomous Systems and Software Program (WASP) funded by the Knut and Alice Wallenberg Foundation . EP has been partially supported by CONICYT/FONDECYT/REGULAR/No. 1170290 from the Chilean Commission for Scientific and Technological Research , and by Millennium Science Initiative of the Ministry of Economy, Development, and Tourism , grant “Millennium Nucleus Center for the Discovery of Structures in Complex Data”. For EP, part of this research was conducted with the financial support of Science Foundation Ireland under Grant Agreement No. 13/RC/2106 at the ADAPT SFI Research Centre at Trinity College Dublin. The ADAPT SFI Centre for Digital Media Technology is funded by Science Foundation Ireland through the SFI Research Centres Programme and is co-funded under the European Regional Development Fund (ERDF) through Grant 13/RC/2106 . |
| The authors wish to thank the anonymous Referee for helpful comments, especially on the relation of isotropic and mean square continuous GRFs, which helped to improve the manuscript. The work of AL was supported in part by the Swedish Research Council under Reg. No. 621-2014-3995 and by the Wallenberg AI, Autonomous Systems and Software Program (WASP) funded by the Knut and Alice Wallenberg Foundation. EP has been partially supported by CONICYT/FONDECYT/REGULAR/No. 1170290 from the Chilean Commission for Scientific and Technological Research, and by Millennium Science Initiative of the Ministry of Economy, Development, and Tourism, grant "Millennium Nucleus Center for the Discovery of Structures in Complex Data". For EP, part of this research was conducted with the financial support of Science Foundation Ireland under Grant Agreement No. 13/RC/2106 at the ADAPT SFI Research Centre at Trinity College Dublin. The ADAPT SFI Centre for Digital Media Technology is funded by Science Foundation Ireland through the SFI Research Centres Programme and is co-funded under the European Regional Development Fund (ERDF) through Grant 13/RC/2106. |
