Optimal mode decomposition for unsteady flows

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De-biasing the dynamic mode decomposition for applied Koopman spectral analysis of noisy datasets (2015, methodology): “Moreover, based on the two-step analysis developed here, the de-biasing procedure is generalizable to other DMD-like algorithms that appeal to Koopman spectral analysis, such as optimal mode decomposition [21,58], streaming DMD [26], sparsity-promoting DMD [29], non-uniform DMD [23], and optimized D”
Modal Analysis of Fluid Flows: An Overview (2017, background): “A number of variants of DMD has been proposed to provide such a sparse representation: for instance, the optimized DMD [108] and the optimal mode decomposition [118] are two such variants.”
Characterizing and correcting for the effect of sensor noise in the dynamic mode decomposition (2014, methodology): “The four continuous-time eigenvalues of this data are γ 1 ± ω 1 and γ 2 ± ω 2 . the This data is again similar to that considered in Wynn et al. (2013) and Duke et al. (2012), if we neglect decaying dynamics.”
Higher Order Dynamic Mode Decomposition (2017, background): “In fact, the accuracy may be an issue [61, 29] when calculating the DMD expansion (1.”