J. Lohmann

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math.OC2025

Sparsity for dynamic inverse problems on Wasserstein curves with bounded variation

Marcello Carioni, Julius Lohmann

We investigate a dynamic inverse problem using a regularization which implements the so-called Wasserstein- $1$ distance. It naturally extends well-known static problems such as las…

math.OC2024

Formulas for the $h$ -mass on $1$ -currents with coefficients in $R^{m}$

Julius Lohmann, Bernhard Schmitzer, Benedikt Wirth

We consider the minimization of the $h$ -mass over normal $1$ -currents in $R^{n}$ with coefficients in $R^{m}$ and prescribed boundary. This optimization is known as m…

Sparsity for dynamic inverse problems on Wasserstein curves with bounded variation

Formulas for the h-mass on 1-currents with coefficients in Rm

Formulas for the $h$ -mass on $1$ -currents with coefficients in $R^{m}$