All Outputs (2)

A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients (2022)
Journal Article
Bredies, K., Carioni, M., & Fanzon, S. (2022). A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients. Communications in Partial Differential Equations, 47(10), 2023-2069. https://doi.org/10.1080/03605302.2022.2109172

We study measure-valued solutions of the inhomogeneous continuity equation (Formula presented.) where the coefficients v and g are of low regularity. A new superposition principle is proven for positive measure solutions and coefficients for which th... Read More about A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients.

A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization (2022)
Journal Article
Bredies, K., Carioni, M., Fanzon, S., & Romero, F. (2022). A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization. Foundations of Computational Mathematics, https://doi.org/10.1007/s10208-022-09561-z

We develop a dynamic generalized conditional gradient method (DGCG) for dynamic inverse problems with optimal transport regularization. We consider the framework introduced in Bredies and Fanzon (ESAIM: M2AN 54:2351–2382, 2020), where the objective f... Read More about A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization.