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Dynamic mode decomposition (DMD) is a dimensionality reduction algorithm developed by Peter Schmid in 2008.Given a time series of data, DMD computes a set of modes each of which is associated with a fixed oscillation frequency and decay/growth rate. For linear systems in particular, these modes and frequencies are analogous to the normal modes of the system, but more generally, they are approximations of the modes and eigenvalues of the composition operator (also called the Koopman operator). Due to the intrinsic temporal behaviors associated with each mode, DMD differs from dimensionality reduction methods such as principal component analysis, which computes orthogonal modes that lack predetermined temporal behaviors. Because its modes are not orthogonal, DMD-based representations can be

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rdf:type	software yago:WikicatMatrixDecompositions yago:Abstraction100002137 yago:Algebra106012726 yago:Cognition100023271 yago:Content105809192 yago:Decomposition106013471 yago:Discipline105996646 yago:KnowledgeDomain105999266 yago:Mathematics106000644 yago:PsychologicalFeature100023100 yago:PureMathematics106003682 yago:Science105999797 yago:VectorAlgebra106013298
rdfs:label	Dynamic mode decomposition (en)
rdfs:comment	Dynamic mode decomposition (DMD) is a dimensionality reduction algorithm developed by Peter Schmid in 2008.Given a time series of data, DMD computes a set of modes each of which is associated with a fixed oscillation frequency and decay/growth rate. For linear systems in particular, these modes and frequencies are analogous to the normal modes of the system, but more generally, they are approximations of the modes and eigenvalues of the composition operator (also called the Koopman operator). Due to the intrinsic temporal behaviors associated with each mode, DMD differs from dimensionality reduction methods such as principal component analysis, which computes orthogonal modes that lack predetermined temporal behaviors. Because its modes are not orthogonal, DMD-based representations can be (en)
foaf:depiction
dcterms:subject	Experimental physics Time series Matrix decompositions
Wikipage page ID	19858814 (xsd:integer)
Wikipage revision ID	1121991815 (xsd:integer)
Link from a Wikipage to another Wikipage	Experimental physics Normal mode Kármán vortex street Companion matrix Time series Eigendecomposition of a matrix Arnoldi iteration Singular value decomposition Function composition Krylov subspace Proper orthogonal decomposition Total least squares Transfer operator Lasso (statistics) Linear dynamical system Dimensionality reduction Global mode Principal component analysis Empirical mode decomposition Prony's method Matrix decompositions Augmented Lagrangian method Ordinary least squares Multiresolution analysis Singular-value decomposition Damped sinusoid Eigenvalue decomposition
sameAs	Dynamic mode decomposition Dynamic mode decomposition Dynamic mode decomposition Dynamic mode decomposition
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thumbnail	wiki-commons:Special:FilePath/Joukowsky_Karman_Vortex_Street_s.png?width=300
has abstract	Dynamic mode decomposition (DMD) is a dimensionality reduction algorithm developed by Peter Schmid in 2008.Given a time series of data, DMD computes a set of modes each of which is associated with a fixed oscillation frequency and decay/growth rate. For linear systems in particular, these modes and frequencies are analogous to the normal modes of the system, but more generally, they are approximations of the modes and eigenvalues of the composition operator (also called the Koopman operator). Due to the intrinsic temporal behaviors associated with each mode, DMD differs from dimensionality reduction methods such as principal component analysis, which computes orthogonal modes that lack predetermined temporal behaviors. Because its modes are not orthogonal, DMD-based representations can be less parsimonious than those generated by PCA. However, they can also be more physically meaningful because each mode is associated with a damped (or driven) sinusoidal behavior in time. (en)
gold:hypernym	Algorithm
prov:wasDerivedFrom	wikipedia-en:Dynamic_mode_decomposition?oldid=1121991815&ns=0
page length (characters) of wiki page	19003 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Dynamic_mode_decomposition
is Link from a Wikipage to another Wikipage of	Low-rank approximation DMD Principal component analysis Dynamic Mode Decomposition
is Wikipage redirect of	Dynamic Mode Decomposition
is Wikipage disambiguates of	DMD
is foaf:primaryTopic of	wikipedia-en:Dynamic_mode_decomposition

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