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3 papers
Data-driven Mori-Zwanzig modeling of Lagrangian particle dynamics in turbulent flows
Xander de Wit, Alessandro Gabbana, Michael Woodward +3
The dynamics of Lagrangian particles in turbulence play a crucial role in mixing, transport, and dispersion in complex flows. Their trajectories exhibit highly non-trivial statisti…
Mori-Zwanzig mode decomposition: Comparison with time-delay embeddings
Michael Woodward, Yen Ting Lin, Yifeng Tian +3
We introduce the Mori-Zwanzig Mode Decomposition (MZMD), a novel data-driven technique for efficient modal analysis of and reduced-order modeling of large-scale spatio-temporal dyn…
Liouville Flow Importance Sampler
Yifeng Tian, Nishant Panda, Yen Ting Lin
We present the Liouville Flow Importance Sampler (LFIS), an innovative flow-based model for generating samples from unnormalized density functions. LFIS learns a time-dependent vel…