cam a22 4 4500 569279852 CHVBK 20201202100955.0 190725s2019 sz a m 00 0deng d urn:nbn:ch:bel-1577138 urn (SNL)991017971607603976 (SNL)991018070819903976 (NEBIS)011448464 (Sz)991017971607603976 (Sz)991018070819903976 Sz ger rda eng eng ger 510 23sdnb 550 510 23sdnb Butt Jemil 1988- (DE-588)1190056178 Verfasser aut An RKHS approach to modelling and inference for spatiotemporal geodetic data with applications to terrestrial radar interferometry presented by Jemil Avers Butt Zurich 2019 viii, 302 Seiten Illustrationen 30 cm Dissertation No. 25883 ETH Zurich, 2019 Literaturverzeichnis application/pdf Reproducing kernel Hilbert spaces (RKHS) are interpretable as normed spaces of functions furnished with a probability distribution and as such are especially suitable for modelling and inference of spatial, temporal, or spatiotemporal phenomena exhibiting a large degree of randomness. Since the set of RKHS is in one-to-one correspondence with the set of positive definite kernels that in turn completely determine a unique RKHS and can be interpreted as a comprehensive description of the associated stochastic processes correlation structure, the choice of an appropriate kernel is essential to ensure the performance of estimators derived within the RKHS framework. We investigate the spectral decomposition of positive definite kernels and their associated compact kernel operators and find that it leads not only to insights linking functional calculus and signal separation but also suggests a new stochastic model for reproducing kernels that enables their inference from observational data. Solving the inference problem requires the development of numerical methods that parallel the ones employed in semidefinite programming. The resulting algorithm proves to be extendable to allow for the inclusion of affine constraints making it applicable for a wide variety of problems and we subsequently employ RKHS based separation of signal and noise to data originating from terrestrial radar interferometry. Englischer Text mit englischer und deutscher Zusammenfassung LINEARE OPERATOREN IN HILBERTRÄUMEN (FUNKTIONALANALYSIS) ger (ETHUDK)000013455 ethudk NORMIERTE RÄUME + BANACHRÄUME + HILBERTRÄUME (FUNKTIONALANALYSIS) ger (ETHUDK)000013431 ethudk RADARSIGNALVERARBEITUNG (RADARTECHNIK) ger (ETHUDK)000060774 ethudk SATELLITENAUFNAHMEN (GEODÄSIE) ger (ETHUDK)000053843 ethudk STATISTISCHE ANALYSE RÄUMLICHER DATEN (MATHEMATISCHE STATISTIK) ger (ETHUDK)000063147 ethudk STOCHASTISCHE PROZESSE (WAHRSCHEINLICHKEITSRECHNUNG) ger (ETHUDK)000013536 ethudk TOPOLOGISCHE LINEARE RÄUME (FUNKTIONALANALYSIS) ger (ETHUDK)000013430 ethudk Hochschulschrift (DE-588)4113937-9 gnd-content Hochschulschrift gnd-content sb 2019/15 510 zh snl-sb xehelv xediss 2020 550 510 snl ehelv u TOPOLOGISCHE LINEARE RÄUME (FUNKTIONALANALYSIS) ger 517.982.2 nebis E1 u NORMIERTE RÄUME + BANACHRÄUME + HILBERTRÄUME (FUNKTIONALANALYSIS) ger 517.982.22 nebis E1 u LINEARE OPERATOREN IN HILBERTRÄUMEN (FUNKTIONALANALYSIS) ger 517.983.24 nebis E1 u SATELLITENAUFNAHMEN (GEODÄSIE) ger 528.77,1 nebis E1 u RADARSIGNALVERARBEITUNG (RADARTECHNIK) ger 621.396.96,1 nebis E1 u STOCHASTISCHE PROZESSE (WAHRSCHEINLICHKEITSRECHNUNG) ger 519.216 nebis E1 u STATISTISCHE ANALYSE RÄUMLICHER DATEN (MATHEMATISCHE STATISTIK) ger 519.249 nebis E1 u TOPOLOGICAL LINEAR SPACES (FUNCTIONAL ANALYSIS) eng 517.982.2 nebis E1 u ESPACES VECTORIELS TOPOLOGIQUES (ANALYSE FONCTIONNELLE) fre 517.982.2 nebis E1 u ESPACES NORMÉS + ESPACES DE BANACH + ESPACES DE HILBERT (ANALYSE FONCTIONNELLE) fre 517.982.22 nebis E1 u NORMED SPACES + BANACH SPACES + HILBERT SPACES (FUNCTIONAL ANALYSIS) eng 517.982.22 nebis E1 u LINEAR OPERATORS IN HILBERT SPACES (FUNCTIONAL ANALYSIS) eng 517.983.24 nebis E1 u OPÉRATEURS LINÉAIRES DANS DES ESPACES DE HILBERT (ANALYSE FONCTIONNELLE) fre 517.983.24 nebis E1 u IMAGERIE SATELLITAIRE (GÉODÉSIE) fre 528.77,1 nebis E1 u SATELLITE IMAGERY (GEODESY) eng 528.77,1 nebis E1 u TRAITEMENT DU SIGNAL RADAR (TECHNIQUE DU RADAR) fre 621.396.96,1 nebis E1 u RADAR SIGNAL PROCESSING (RADAR ENGINEERING) eng 621.396.96,1 nebis E1 u PROCESSUS STOCHASTIQUES (CALCUL DES PROBABILITÉS) fre 519.216 nebis E1 u STOCHASTIC PROCESSES (PROBABILITY THEORY) eng 519.216 nebis E1 u STATISTIQUE SPATIALE (STATISTIQUE MATHÉMATIQUE) fre 519.249 nebis E1 u SPATIAL STATISTICS (MATHEMATICAL STATISTICS) eng 519.249 nebis E1 Eidgenössische Technische Hochschule Zürich (DE-588)2023928-2 Grad-verleihende Institution dgg SNL NB001 NB999 - chb99 - https://opac.admin.ch/toc/toc1902090140.pdf Inhaltsverzeichnis BK020300 XK020000 XK020000 079 E01-20190715 125 E01-20190715 SNL NB001 NB001 Nbq 121762 NB10010 NEBIS E16 E16 RH Diss ETH 25883 SNL 100 1- Butt Jemil 1988- (DE-588)1190056178 Verfasser aut SNL 856 41 https://opac.admin.ch/toc/toc1902090140.pdf Inhaltsverzeichnis SNL 710 2- Eidgenössische Technische Hochschule Zürich (DE-588)2023928-2 Grad-verleihende Institution dgg SNL 100 1- Butt Jemil Verfasser aut SNL 856 40 http://hdl.handle.net/20.500.11850/346619 SNL 856 4- https://nbn-resolving.org/urn:nbn:ch:bel-1577138 SNL 856 42 http://www.e-helvetica.nb.admin.ch/directAccess?callnumber=bel-1577138 NEBIS 100 1- Butt Jemil 1988- (DE-588)1190056178 Verfasser aut NEBIS 700 1- Wieser Andreas 1969- (DE-588)123672074 Akademischer Betreuer dgs NEBIS 700 1- Hanssen Raymond Franciscus 1968- (DE-588)1089295537 Akademischer Betreuer dgs NEBIS 700 1- Teichmann Josef 1972- (DE-588)140768890 Akademischer Betreuer dgs SWISSBIB 569279852