FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4310971130> ?p ?o ?g. }

• W4310971130 abstract "Dynamic mode decomposition (DMD) is a leading tool for equation-free analysis of high-dimensional dynamical systems from observations. In this work, we focus on a combination of DMD and delay-coordinates embedding, which is termed delay-coordinates DMD and is based on augmenting observations from current and past time steps, accommodating the analysis of a broad family of observations. An important utility of DMD is the compact and reduced-order spectral representation of observations in terms of the DMD eigenvalues and modes, where the temporal information is separated from the spatial information. From a spatiotemporal viewpoint, we show that when DMD is applied to delay-coordinates embedding, temporal information is intertwined with spatial information, inducing a particular spectral structure on the DMD components. We formulate and analyze this structure, which we term the spatiotemporal coupling in delay-coordinates DMD. Based on this spatiotemporal coupling, we propose a new method for DMD components selection. When using delay-coordinates DMD that comprises redundant modes, this selection is an essential step for obtaining a compact and reduced-order representation of the observations. We demonstrate our method on noisy simulated signals and various dynamical systems and show superior component selection compared to a commonly used method that relies on the amplitudes of the modes." @default.
• W4310971130 created "2022-12-21" @default.
• W4310971130 creator A5005985491 @default.
• W4310971130 creator A5020330914 @default.
• W4310971130 creator A5035255930 @default.
• W4310971130 creator A5064869423 @default.
• W4310971130 date "2022-12-01" @default.
• W4310971130 modified "2023-10-10" @default.
• W4310971130 title "The spatiotemporal coupling in delay-coordinates dynamic mode decomposition" @default.
• W4310971130 cites W1635210704 @default.
• W4310971130 cites W1723433682 @default.
• W4310971130 cites W1860903952 @default.
• W4310971130 cites W1969563507 @default.
• W4310971130 cites W1988147465 @default.
• W4310971130 cites W1991055075 @default.
• W4310971130 cites W1997054581 @default.
• W4310971130 cites W2014356541 @default.
• W4310971130 cites W2022064443 @default.
• W4310971130 cites W2022715583 @default.
• W4310971130 cites W2023043517 @default.
• W4310971130 cites W2034099719 @default.
• W4310971130 cites W2039592925 @default.
• W4310971130 cites W2040690030 @default.
• W4310971130 cites W2045947154 @default.
• W4310971130 cites W2050651297 @default.
• W4310971130 cites W2058102615 @default.
• W4310971130 cites W2065806093 @default.
• W4310971130 cites W2067035505 @default.
• W4310971130 cites W2070460788 @default.
• W4310971130 cites W2080914886 @default.
• W4310971130 cites W2092928868 @default.
• W4310971130 cites W2094686470 @default.
• W4310971130 cites W2098940789 @default.
• W4310971130 cites W2105338713 @default.
• W4310971130 cites W2115710526 @default.
• W4310971130 cites W2126999002 @default.
• W4310971130 cites W2134120396 @default.
• W4310971130 cites W2144587879 @default.
• W4310971130 cites W2148717806 @default.
• W4310971130 cites W2155846280 @default.
• W4310971130 cites W2164954534 @default.
• W4310971130 cites W2165774374 @default.
• W4310971130 cites W2326051029 @default.
• W4310971130 cites W2341174028 @default.
• W4310971130 cites W2346717862 @default.
• W4310971130 cites W2405892775 @default.
• W4310971130 cites W2471063652 @default.
• W4310971130 cites W2510030309 @default.
• W4310971130 cites W2559946728 @default.
• W4310971130 cites W2613314665 @default.
• W4310971130 cites W2785195724 @default.
• W4310971130 cites W2806286560 @default.
• W4310971130 cites W2895418405 @default.
• W4310971130 cites W2949547603 @default.
• W4310971130 cites W2963013180 @default.
• W4310971130 cites W2963186138 @default.
• W4310971130 cites W2964057431 @default.
• W4310971130 cites W2971179937 @default.
• W4310971130 cites W3008321886 @default.
• W4310971130 cites W3019988632 @default.
• W4310971130 cites W3038118776 @default.
• W4310971130 cites W3099674394 @default.
• W4310971130 cites W3099803807 @default.
• W4310971130 cites W3100610601 @default.
• W4310971130 cites W3102306519 @default.
• W4310971130 cites W3104556657 @default.
• W4310971130 cites W3105713006 @default.
• W4310971130 cites W3170307101 @default.
• W4310971130 cites W3199172787 @default.
• W4310971130 cites W4205492891 @default.
• W4310971130 cites W4252713891 @default.
• W4310971130 cites W4303983748 @default.
• W4310971130 doi "https://doi.org/10.1063/5.0123101" @default.
• W4310971130 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/36587352" @default.
• W4310971130 hasPublicationYear "2022" @default.
• W4310971130 type Work @default.
• W4310971130 citedByCount "2" @default.
• W4310971130 countsByYear W43109711302023 @default.
• W4310971130 crossrefType "journal-article" @default.
• W4310971130 hasAuthorship W4310971130A5005985491 @default.
• W4310971130 hasAuthorship W4310971130A5020330914 @default.
• W4310971130 hasAuthorship W4310971130A5035255930 @default.
• W4310971130 hasAuthorship W4310971130A5064869423 @default.
• W4310971130 hasBestOaLocation W43109711301 @default.
• W4310971130 hasConcept C105815890 @default.
• W4310971130 hasConcept C11413529 @default.
• W4310971130 hasConcept C114614502 @default.
• W4310971130 hasConcept C119857082 @default.
• W4310971130 hasConcept C121332964 @default.
• W4310971130 hasConcept C127413603 @default.
• W4310971130 hasConcept C131584629 @default.
• W4310971130 hasConcept C134306372 @default.
• W4310971130 hasConcept C136364276 @default.
• W4310971130 hasConcept C154945302 @default.
• W4310971130 hasConcept C158693339 @default.
• W4310971130 hasConcept C17744445 @default.
• W4310971130 hasConcept C184720557 @default.
• W4310971130 hasConcept C199539241 @default.
• W4310971130 hasConcept C2776359362 @default.
• W4310971130 hasConcept C2777032711 @default.

• next