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math.CA2021
Minimizing optimal transport for functions with fixed-size nodal sets
Qiang Du, Amir Sagiv
Consider the class of zero-mean functions with fixed and norms and exactly nodal points. Which functions minimize , the Wasse…
math.CA2019
The Wasserstein Distances Between Pushed-Forward Measures with Applications to Uncertainty Quantification
Amir Sagiv
In the study of dynamical and physical systems, the input parameters are often uncertain or randomly distributed according to a measure . The system's response pushes…