2 papers
math.CA2022
Descent modulus and applications
Aris Daniilidis, Laurent Miclo, David Salas
The norm of the gradient f (x) measures the maximum descent of a real-valued smooth function f at x. For (nonsmooth) convex functions, this is expressed by the distance dis…
math.OC2021
Determination of functions by metric slopes
Aris Daniilidis, David Salas
We show that in a metric space, any continuous function with compact sublevel sets and finite metric slope is uniquely determined by the slope and its critical values.