3 papers
math.OC2026
Geometry of Sparsity-Inducing Norms
Jean-Philippe Chancelier, Michel de Lara, Antoine Deza +1
Sparse optimization seeks an optimal solution with few nonzero entries. To achieve this, it is common to add to the criterion a penalty term proportional to the -norm, whic…
math.MG2026
Flat simplices and kissing polytopes
Antoine Deza, Lionel Pournin
We consider how flat a lattice simplex contained in the hypercube can be. This question is related to the notion of kissing polytopes: two lattice polytopes contained in…
math.MG2025
Kissing polytopes in dimension 3
Antoine Deza, Zhongyuan Liu, Lionel Pournin
It is shown that the smallest possible distance between two disjoint lattice polytopes contained in the cube is exactly for…