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eess.SY2021
Regression analysis of distributional data through Multi-Marginal Optimal transport
Amirhossein Karimi, Tryphon T. Georgiou
We formulate and solve a regression problem with time-stamped distributional data. Distributions are considered as points in the Wasserstein space of probability measures, metrized…
stat.ME2021
The Challenge of Small Data: Dynamic Mode Decomposition, Redux
Amirhossein Karimi, Tryphon T. Georgiou
We revisit the setting and the assumptions that underlie the methodology of Dynamic Mode Decomposition (DMD) in order to highlight caveats as well as potential measures of when the…