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20182024
most citedOptimal arrangements of hyperplanes for multiclass classification

41 citations · 68 across the 6 of their papers we have counts for

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5 papers · 1 filter

math.OC2024

Optimal probabilistic feature shifts for reclassification in tree ensembles

Víctor Blanco, Alberto Japón, Justo Puerto +1

In this paper we provide a novel mathematical optimization based methodology to perturb the features of a given observation to be re-classified, by a tree ensemble classification r…

math.OC2022

A Mathematical Programming Approach to Optimal Classification Forests

Víctor Blanco, Alberto Japón, Justo Puerto +1

This paper introduces Weighted Optimal Classification Forests (WOCFs), a new family of classifiers that takes advantage of an optimal ensemble of decision trees to derive accurate…

math.OC2021

Multiclass Optimal Classification Trees with SVM-splits

Víctor Blanco, Alberto Japón, Justo Puerto

In this paper we present a novel mathematical optimization-based methodology to construct tree-shaped classification rules for multiclass instances. Our approach consists of buildi…

math.OC2020★ 20 cited

On the multisource hyperplanes location problem to fitting set of points

Víctor Blanco, Alberto Japón, Diego Ponce +1

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 fr…

math.OC2018★ 41 cited

Optimal arrangements of hyperplanes for multiclass classification

Víctor Blanco, Alberto Japón, Justo Puerto

In this paper, we present a novel approach to construct multiclass classifiers by means of arrangements of hyperplanes. We propose different mixed integer (linear and non linear) p…