Matches in SemOpenAlex for { <https://semopenalex.org/work/W1943126751> ?p ?o ?g. }
- W1943126751 abstract "The commonality between splines and Gaussian or sparse stochastic processes is that they are ruled by the same type of differential equations. Our purpose here is to demonstrate that this has profound implications for the three primary forms of sampling: uniform, nonuniform, and compressed sensing. The connection with classical sampling is that there is a one-to-one correspondence between spline interpolation and the minimum-mean-square-error reconstruction of a Gaussian process from its uniform or nonuniform samples. The caveat, of course, is that the spline type has to be matched to the operator that whitens the process. The connection with compressed sensing is that the non-Gaussian processes that are ruled by linear differential equations generally admit a parsimonious representation in a wavelet-like basis. There is also a construction based on splines that yields a wavelet-like basis that is matched to the underlying differential operator. It has been observed that expansions in such bases provide excellent M-term approximations of sparse processes. This property is backed by recent estimates of the local Besov regularity of sparse processes." @default.
- W1943126751 created "2016-06-24" @default.
- W1943126751 creator A5027830035 @default.
- W1943126751 date "2015-05-01" @default.
- W1943126751 modified "2023-10-02" @default.
- W1943126751 title "Sampling and (sparse) stochastic processes: A tale of splines and innovation" @default.
- W1943126751 cites W1202875439 @default.
- W1943126751 cites W1764485696 @default.
- W1943126751 cites W1778342465 @default.
- W1943126751 cites W1957871232 @default.
- W1943126751 cites W1969849531 @default.
- W1943126751 cites W1982263943 @default.
- W1943126751 cites W1987895141 @default.
- W1943126751 cites W1996041609 @default.
- W1943126751 cites W1997019093 @default.
- W1943126751 cites W2002355073 @default.
- W1943126751 cites W2003410902 @default.
- W1943126751 cites W2004421506 @default.
- W1943126751 cites W2013180153 @default.
- W1943126751 cites W2019704783 @default.
- W1943126751 cites W2022894179 @default.
- W1943126751 cites W2024697317 @default.
- W1943126751 cites W2035136970 @default.
- W1943126751 cites W2065015198 @default.
- W1943126751 cites W2084052726 @default.
- W1943126751 cites W2094070726 @default.
- W1943126751 cites W2099205567 @default.
- W1943126751 cites W2100556278 @default.
- W1943126751 cites W2109357213 @default.
- W1943126751 cites W2111128642 @default.
- W1943126751 cites W2112502349 @default.
- W1943126751 cites W2113359099 @default.
- W1943126751 cites W2119667497 @default.
- W1943126751 cites W2130859329 @default.
- W1943126751 cites W2140749977 @default.
- W1943126751 cites W2151432162 @default.
- W1943126751 cites W2151951544 @default.
- W1943126751 cites W2153058280 @default.
- W1943126751 cites W2156984667 @default.
- W1943126751 cites W2158537680 @default.
- W1943126751 cites W2166500461 @default.
- W1943126751 cites W2296616510 @default.
- W1943126751 cites W2914857586 @default.
- W1943126751 cites W416373957 @default.
- W1943126751 cites W606515514 @default.
- W1943126751 cites W641232363 @default.
- W1943126751 doi "https://doi.org/10.1109/sampta.2015.7148884" @default.
- W1943126751 hasPublicationYear "2015" @default.
- W1943126751 type Work @default.
- W1943126751 sameAs 1943126751 @default.
- W1943126751 citedByCount "1" @default.
- W1943126751 countsByYear W19431267512015 @default.
- W1943126751 crossrefType "proceedings-article" @default.
- W1943126751 hasAuthorship W1943126751A5027830035 @default.
- W1943126751 hasBestOaLocation W19431267512 @default.
- W1943126751 hasConcept C10390562 @default.
- W1943126751 hasConcept C104114177 @default.
- W1943126751 hasConcept C104317684 @default.
- W1943126751 hasConcept C105795698 @default.
- W1943126751 hasConcept C106131492 @default.
- W1943126751 hasConcept C11413529 @default.
- W1943126751 hasConcept C121332964 @default.
- W1943126751 hasConcept C124066611 @default.
- W1943126751 hasConcept C12426560 @default.
- W1943126751 hasConcept C124851039 @default.
- W1943126751 hasConcept C127413603 @default.
- W1943126751 hasConcept C13355873 @default.
- W1943126751 hasConcept C134306372 @default.
- W1943126751 hasConcept C137800194 @default.
- W1943126751 hasConcept C140779682 @default.
- W1943126751 hasConcept C154945302 @default.
- W1943126751 hasConcept C158448853 @default.
- W1943126751 hasConcept C163716315 @default.
- W1943126751 hasConcept C17020691 @default.
- W1943126751 hasConcept C185592680 @default.
- W1943126751 hasConcept C205203396 @default.
- W1943126751 hasConcept C2524010 @default.
- W1943126751 hasConcept C28826006 @default.
- W1943126751 hasConcept C31447003 @default.
- W1943126751 hasConcept C31972630 @default.
- W1943126751 hasConcept C33923547 @default.
- W1943126751 hasConcept C41008148 @default.
- W1943126751 hasConcept C47432892 @default.
- W1943126751 hasConcept C51955184 @default.
- W1943126751 hasConcept C55493867 @default.
- W1943126751 hasConcept C5917680 @default.
- W1943126751 hasConcept C61326573 @default.
- W1943126751 hasConcept C62520636 @default.
- W1943126751 hasConcept C66938386 @default.
- W1943126751 hasConcept C78383375 @default.
- W1943126751 hasConcept C8272713 @default.
- W1943126751 hasConcept C86339819 @default.
- W1943126751 hasConceptScore W1943126751C10390562 @default.
- W1943126751 hasConceptScore W1943126751C104114177 @default.
- W1943126751 hasConceptScore W1943126751C104317684 @default.
- W1943126751 hasConceptScore W1943126751C105795698 @default.
- W1943126751 hasConceptScore W1943126751C106131492 @default.
- W1943126751 hasConceptScore W1943126751C11413529 @default.
- W1943126751 hasConceptScore W1943126751C121332964 @default.
- W1943126751 hasConceptScore W1943126751C124066611 @default.