Matches in SemOpenAlex for { <https://semopenalex.org/work/W2183669634> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W2183669634 abstract "Many of the signals to which wavelet methods are applied, including those encountered in simulation experiments, are essentially smooth but contain a small number of high-frequency episodes such as spikes. In principle it is possible to employ a different amount of smoothing at different spatial locations, but in the context of wavelets this is so awkward to implement that it is not really practicable. Instead, it is attractive to select the primary resolution level (or smoothing param- eter) so as to give good performance for smooth parts of the signal. While this is readily accomplished using a cross-validation argument, it is unclear whether it has a deleterious impact on performance at high-frequency episodes. In this paper we show that it does not. We derive upper and lower bounds to pointwise rates of convergence for functions whose spikiness increases with sample size. (This allows us to model contexts where wavelet methods have to work hard to recover high-frequency events.) We show that, in order to achieve optimal rates of con- vergence, it is necessary for the primary resolution level of the empirical wavelet transform to vary with location, sometimes extensively. Nevertheless, the conver- gence rate penalty incurred through using a non-varying resolution level, chosen to provide good performance for coarse-scale features, equals a factor that is less than the logarithm of sample size." @default.
- W2183669634 created "2016-06-24" @default.
- W2183669634 creator A5003932601 @default.
- W2183669634 creator A5018086501 @default.
- W2183669634 creator A5031910872 @default.
- W2183669634 creator A5068961688 @default.
- W2183669634 date "1999-01-01" @default.
- W2183669634 modified "2023-09-23" @default.
- W2183669634 title "Adaptation to high spatial inhomogeneity using wavelet methods" @default.
- W2183669634 cites W1559314381 @default.
- W2183669634 cites W191129667 @default.
- W2183669634 cites W2006573318 @default.
- W2183669634 cites W2010029425 @default.
- W2183669634 cites W2020068051 @default.
- W2183669634 cites W2033484654 @default.
- W2183669634 cites W2034468414 @default.
- W2183669634 cites W2038845890 @default.
- W2183669634 cites W2041752335 @default.
- W2183669634 cites W2046031028 @default.
- W2183669634 cites W2058772015 @default.
- W2183669634 cites W2062024414 @default.
- W2183669634 cites W2068338317 @default.
- W2183669634 cites W2075219609 @default.
- W2183669634 cites W2085463531 @default.
- W2183669634 cites W2155729182 @default.
- W2183669634 cites W2158940042 @default.
- W2183669634 doi "https://doi.org/10.17615/ebq5-s829" @default.
- W2183669634 hasPublicationYear "1999" @default.
- W2183669634 type Work @default.
- W2183669634 sameAs 2183669634 @default.
- W2183669634 citedByCount "4" @default.
- W2183669634 countsByYear W21836696342013 @default.
- W2183669634 crossrefType "journal-article" @default.
- W2183669634 hasAuthorship W2183669634A5003932601 @default.
- W2183669634 hasAuthorship W2183669634A5018086501 @default.
- W2183669634 hasAuthorship W2183669634A5031910872 @default.
- W2183669634 hasAuthorship W2183669634A5068961688 @default.
- W2183669634 hasBestOaLocation W21836696341 @default.
- W2183669634 hasConcept C139807058 @default.
- W2183669634 hasConcept C154945302 @default.
- W2183669634 hasConcept C15744967 @default.
- W2183669634 hasConcept C169760540 @default.
- W2183669634 hasConcept C41008148 @default.
- W2183669634 hasConcept C47432892 @default.
- W2183669634 hasConceptScore W2183669634C139807058 @default.
- W2183669634 hasConceptScore W2183669634C154945302 @default.
- W2183669634 hasConceptScore W2183669634C15744967 @default.
- W2183669634 hasConceptScore W2183669634C169760540 @default.
- W2183669634 hasConceptScore W2183669634C41008148 @default.
- W2183669634 hasConceptScore W2183669634C47432892 @default.
- W2183669634 hasLocation W21836696341 @default.
- W2183669634 hasOpenAccess W2183669634 @default.
- W2183669634 hasPrimaryLocation W21836696341 @default.
- W2183669634 hasRelatedWork W1543657218 @default.
- W2183669634 hasRelatedWork W1571518467 @default.
- W2183669634 hasRelatedWork W1576801573 @default.
- W2183669634 hasRelatedWork W189527659 @default.
- W2183669634 hasRelatedWork W2020291234 @default.
- W2183669634 hasRelatedWork W2047649869 @default.
- W2183669634 hasRelatedWork W2094520212 @default.
- W2183669634 hasRelatedWork W2135121413 @default.
- W2183669634 hasRelatedWork W3107474891 @default.
- W2183669634 hasRelatedWork W87991986 @default.
- W2183669634 isParatext "false" @default.
- W2183669634 isRetracted "false" @default.
- W2183669634 magId "2183669634" @default.
- W2183669634 workType "article" @default.