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math.OC2025
Avoidance of non-strict saddle points by blow-up
El Mehdi Achour, Umberto L. Hryniewicz, Michael Westdickenberg
It is an old idea to use gradient flows or time-discretized variants thereof as methods for solving minimization problems. In some applications, for example in machine learning con…
math.AP2025
Sharp Convergence to the Half-Space for Mullins-Sekerka in the Plane
Wenhui Shi, Maria G. Westdickenberg, Michael Westdickenberg
We revisit the HED Method for the Mullins-Sekerka evolution in the plane. We identify a natural notion of distance, intrinsic to the interface itself. Using this distance, the ener…