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math.OC2023
Metric compatibility and determination in complete metric spaces
Aris Daniilidis, Tri Minh Le, David Salas
It was established in [8] that Lipschitz inf-compact functions are uniquely determined by their local slope and critical values. Compactness played a paramount role in this result,…
math.OC2022
Exploiting the polyhedral geometry of stochastic linear bilevel programming
Gonzalo Muñoz, David Salas, Anton Svensson
We study linear bilevel programming problems whose lower-level objective is given by a random cost vector with known distribution. We consider the case where this distribution is n…
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.