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math.OC2026
Facial distance and diameter
Antoine Deza, David Martínez-Rubio, Javier Peña +1
The facial distance of a polytope, equivalently its pyramidal width, is a geometric condition measure that appears in the convergence bounds for Frank--Wolfe algorithms. Peña and W…
math.OC2026
Calculus of the Facial Distance
Javier Pena, Elias Wirth
We develop a few calculus rules to compute or lower bound the facial distance of a polytope. We illustrate our calculus rules on various popular polytopes. In particular, we provid…