3 papers
math.AP2020
New Coupling Conditions for Isentropic Flow on Networks
Yannick Holle, Michael Herty, Michael Westdickenberg
We introduce new coupling conditions for isentropic flow on networks based on an artificial density at the junction. The new coupling conditions can be derived from a kinetic model…
math.AP2019
Flow Solutions of Transport Equations
Sholeh Karimghasemi, Siegfried Müller, Michael Westdickenberg
Under general assumptions on the velocity field, it is possible to construct a flow that is forward untangled. Once such a flow has been selected, the associated transport problem…
math.OC2019
Learning deep linear neural networks: Riemannian gradient flows and convergence to global minimizers
Bubacarr Bah, Holger Rauhut, Ulrich Terstiege +1
We study the convergence of gradient flows related to learning deep linear neural networks (where the activation function is the identity map) from data. In this case, the composit…