Data mining techniques often ask for the resolution of optimization problems. Supervised
classification, and, in particular, support vector machines, can be seen as a paradigmatic …

Counterfactual Analysis has shown to be a powerful tool in the burgeoning field of
Explainable Artificial Intelligence. In Supervised Classification, this means associating with …

A natural extension of point facility location problems are those problems in which facilities
are extensive, ie those that cannot be represented by isolated points but as some …

Let A be a nonempty finite subset of the plane representing the geographical coordinates of
a set of demand points (towns,…), to be served by a facility, whose location within a given …

This paper considers various models of support vector machines with ramp loss, these being
an efficient and robust tool in supervised classification for the detection of outliers. The exact …

Machine-learning models for security-critical applications such as bot, malware, or spam
detection, operate in constrained discrete domains. These applications would benefit from …

In this paper we study the problem of locating a given number of hyperplanes minimizing an
objective function of the closest distances from a set of points. We propose a general …

In this paper we concentrate on the simultaneous single machine scheduling–location
(ScheLoc) model in the plane. The model combines both the location of the machine and the …

The geometry of finite-dimensional normed spaces (= Minkowski geometry) is a research
topic which is related to many other fields, such as convex geometry, discrete and …

We show that, for vector spaces in which distance measurement is performed using a
gauge, the existence of best coapproximations in 1-codimensional closed linear subspaces …