4 papers · 1 filter
Minimizing and Maximizing the Shannon Entropy for Fixed Marginals
Paula Franke, Kay Hamacher, Paul Manns
The mutual information (MI) between two random variables is an important correlation measure in data analysis. The Shannon entropy of a joint probability distribution is the variab…
Convergence of trust-region algorithms in metric spaces
Paul Manns
Trust-region algorithms can be applied to very abstract optimization problems because they do not require a specific direction of descent or gradient. This has lead to recent inter…
Homotopy trust-region method for phase-field approximations in perimeter-regularized binary optimal control
Paul Manns, Vanja NikoliÄ
We consider optimal control problems that have binary-valued control input functions and a perimeter regularization. We develop and analyze a trust-region algorithm that solves a s…
Integer Optimal Control with Fractional Perimeter Regularization
Harbir Antil, Paul Manns
Motivated by many applications, optimal control problems with integer controls have recently received a significant attention. Some state-of-the-art work uses perimeter-regularizat…