3 papers
math.MG2023
Optimization hierarchies for distance-avoiding sets in compact spaces
Bram Bekker, Olga Kuryatnikova, Fernando Mário de Oliveira Filho +1
Witsenhausen's problem asks for the maximum fraction of the -dimensional unit sphere that can be covered by a measurable set containing no pairs of orthogonal points. The…
cond-mat.soft2018
Thermodynamic State of the Interface during Acoustic Cavitation in Lipid Suspensions
Shamit Shrivastava, Robin O. Cleveland
The thermodynamic state of lipid interfaces was observed during shock wave induced cavitation in water with sub-microsecond resolution, using the emission spectra of hydration-sens…
math.OC2018
On the integrality gap of the maximum-cut semidefinite programming relaxation in fixed dimension
Fernando Mário de Oliveira Filho, Frank Vallentin
We describe a factor-revealing convex optimization problem for the integrality gap of the maximum-cut semidefinite programming relaxation: for each we present a convex o…