13 citations · 14 across the 8 of their papers we have counts for
5 papers · 1 filter
Insights from Autoresearch for Solar Panel Segmentation
Justinas Lekavicius, Kursat Komurcu, Valentas Gruzauskas +1
This paper investigates AutoResearch, a protocol in which a coding language model edits a training program under a one-hour GPU budget and retains a change only if validation IoU i…
Boundary behaviour of stable Allen-Cahn limit-interfaces in Riemannian manifolds
Martin Man-chun Li, Davide Parise, Lorenzo Sarnataro
This is the second paper in our series of works to develop the min-max theory for free boundary minimal hypersurfaces in Riemannian manifolds with boundary via the Allen-Cahn equat…
Second order estimates on transition layers for the Allen-Cahn equation with homogeneous Neumann boundary conditions: Part I - Boundary-orthogonal transition layers
Akashdeep Dey, Wenkui Du, Davide Parise +1
We study stable solutions of the Allen-Cahn equation with homogeneous Neumann boundary condition on Riemannian manifolds with boundary in the regime where the transition layers mee…
White's cone over the Möbius band is area-minimising
Marco A. M. Guaraco, Davide Parise
We prove that the cone in over a suitable minimal Möbius band is locally mass-minimising with coefficients in . This proves…
Uniqueness of free boundary minimal annuli
Davide Parise, Jonathan J. Zhu
We prove that every smooth properly embedded free-boundary minimal annulus in the unit ball is congruent to the critical catenoid. We also classify positive solutions of $(Δ_{\math…