Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949669254> ?p ?o ?g. }
- W2949669254 abstract "With the advent of wide-spread global and continental-scale spatiotemporal datasets, increased attention has been given to covariance functions on spheres over time. This paper provides results for stationary covariance functions of random fields defined over $d$-dimensional spheres cross time. Specifically, we provide a bridge between the characterization in cite{berg-porcu} for covariance functions on spheres cross time and Gneiting's lemma citep{gneiting2002} that deals with planar surfaces. We then prove that there is a valid class of covariance functions similar in form to the Gneiting class of space-time covariance functions citep{gneiting2002} that replaces the squared Euclidean distance with the great circle distance. Notably, the provided class is shown to be positive definite on every $d$-dimensional sphere cross time, while the Gneiting class is positive definite over $R^d times R$ for fixed $d$ only. In this context, we illustrate the value of our adapted Gneiting class by comparing examples from this class to currently established nonseparable covariance classes using out-of-sample predictive criteria. These comparisons are carried out on two climate reanalysis datasets from the National Centers for Environmental Prediction and National Center for Atmospheric Research. For these datasets, we show that examples from our covariance class have better predictive performance than competing models." @default.
- W2949669254 created "2019-06-27" @default.
- W2949669254 creator A5037143588 @default.
- W2949669254 creator A5054803811 @default.
- W2949669254 date "2018-07-11" @default.
- W2949669254 modified "2023-09-27" @default.
- W2949669254 title "Towards a Complete Picture of Stationary Covariance Functions on Spheres Cross Time" @default.
- W2949669254 cites W146619314 @default.
- W2949669254 cites W1524392826 @default.
- W2949669254 cites W1534349507 @default.
- W2949669254 cites W1755740240 @default.
- W2949669254 cites W1837874438 @default.
- W2949669254 cites W1898904249 @default.
- W2949669254 cites W1963785789 @default.
- W2949669254 cites W1964201590 @default.
- W2949669254 cites W1968178762 @default.
- W2949669254 cites W1968706437 @default.
- W2949669254 cites W1971633237 @default.
- W2949669254 cites W1975505096 @default.
- W2949669254 cites W1982124820 @default.
- W2949669254 cites W1984113680 @default.
- W2949669254 cites W1996007769 @default.
- W2949669254 cites W2004807582 @default.
- W2949669254 cites W2007392640 @default.
- W2949669254 cites W2013627498 @default.
- W2949669254 cites W2021057500 @default.
- W2949669254 cites W2025720061 @default.
- W2949669254 cites W2030597423 @default.
- W2949669254 cites W2036474596 @default.
- W2949669254 cites W2040635790 @default.
- W2949669254 cites W2048707459 @default.
- W2949669254 cites W2052077920 @default.
- W2949669254 cites W2059735239 @default.
- W2949669254 cites W2060624994 @default.
- W2949669254 cites W2061320421 @default.
- W2949669254 cites W2071379353 @default.
- W2949669254 cites W2105435922 @default.
- W2949669254 cites W2109696661 @default.
- W2949669254 cites W2117329279 @default.
- W2949669254 cites W2118275350 @default.
- W2949669254 cites W2122511023 @default.
- W2949669254 cites W2125275885 @default.
- W2949669254 cites W2133501143 @default.
- W2949669254 cites W2141713305 @default.
- W2949669254 cites W2149507322 @default.
- W2949669254 cites W2157005274 @default.
- W2949669254 cites W2162641775 @default.
- W2949669254 cites W2171258358 @default.
- W2949669254 cites W2173251738 @default.
- W2949669254 cites W2213174481 @default.
- W2949669254 cites W2396206955 @default.
- W2949669254 cites W2407959519 @default.
- W2949669254 cites W2559737498 @default.
- W2949669254 cites W2600017583 @default.
- W2949669254 cites W2799211855 @default.
- W2949669254 cites W2963174897 @default.
- W2949669254 cites W2964135075 @default.
- W2949669254 cites W3103126332 @default.
- W2949669254 cites W3103367098 @default.
- W2949669254 cites W327666844 @default.
- W2949669254 cites W54587910 @default.
- W2949669254 cites W567568486 @default.
- W2949669254 hasPublicationYear "2018" @default.
- W2949669254 type Work @default.
- W2949669254 sameAs 2949669254 @default.
- W2949669254 citedByCount "0" @default.
- W2949669254 crossrefType "posted-content" @default.
- W2949669254 hasAuthorship W2949669254A5037143588 @default.
- W2949669254 hasAuthorship W2949669254A5054803811 @default.
- W2949669254 hasConcept C105795698 @default.
- W2949669254 hasConcept C114614502 @default.
- W2949669254 hasConcept C118006245 @default.
- W2949669254 hasConcept C126372606 @default.
- W2949669254 hasConcept C129782007 @default.
- W2949669254 hasConcept C137250428 @default.
- W2949669254 hasConcept C148893098 @default.
- W2949669254 hasConcept C154945302 @default.
- W2949669254 hasConcept C178650346 @default.
- W2949669254 hasConcept C180877172 @default.
- W2949669254 hasConcept C186450821 @default.
- W2949669254 hasConcept C18903297 @default.
- W2949669254 hasConcept C2524010 @default.
- W2949669254 hasConcept C2777212361 @default.
- W2949669254 hasConcept C2777759810 @default.
- W2949669254 hasConcept C28826006 @default.
- W2949669254 hasConcept C33923547 @default.
- W2949669254 hasConcept C41008148 @default.
- W2949669254 hasConcept C46757340 @default.
- W2949669254 hasConcept C83042196 @default.
- W2949669254 hasConcept C86803240 @default.
- W2949669254 hasConceptScore W2949669254C105795698 @default.
- W2949669254 hasConceptScore W2949669254C114614502 @default.
- W2949669254 hasConceptScore W2949669254C118006245 @default.
- W2949669254 hasConceptScore W2949669254C126372606 @default.
- W2949669254 hasConceptScore W2949669254C129782007 @default.
- W2949669254 hasConceptScore W2949669254C137250428 @default.
- W2949669254 hasConceptScore W2949669254C148893098 @default.
- W2949669254 hasConceptScore W2949669254C154945302 @default.
- W2949669254 hasConceptScore W2949669254C178650346 @default.
- W2949669254 hasConceptScore W2949669254C180877172 @default.