Spherical separation with infinitely far center

A Astorino, A Fuduli - Soft Computing, 2020 - Springer
We tackle the problem of separating two finite sets of samples by means of a spherical
surface, focusing on the case where the center of the sphere is fixed. Such approach …

Classification in the multiple instance learning framework via spherical separation

M Gaudioso, G Giallombardo, G Miglionico, E Vocaturo - Soft Computing, 2020 - Springer
We consider a multiple instance learning problem where the objective is the binary
classifications of bags of instances, instead of single ones. We adopt spherical separation as …

Margin maximization in spherical separation

A Astorino, A Fuduli, M Gaudioso - Computational Optimization and …, 2012 - Springer
We face the problem of strictly separating two sets of points by means of a sphere,
considering the two cases where the center of the sphere is fixed or free, respectively. In …

A DC optimization-based clustering technique for edge detection

W Khalaf, A Astorino, P D'Alessandro, M Gaudioso - Optimization letters, 2017 - Springer
We introduce a method for edge detection which is based on clustering the pixels
representing any given digital image into two sets (the edge pixels and the non-edge ones) …

DC models for spherical separation

A Astorino, A Fuduli, M Gaudioso - Journal of Global Optimization, 2010 - Springer
We propose two different approaches for spherical separation of two sets. Both methods are
based on minimizing appropriate nonconvex nondifferentiable error functions, which can be …

The semiproximal SVM approach for multiple instance learning: a kernel-based computational study

M Avolio, A Fuduli - Optimization Letters, 2024 - Springer
Abstract The semiproximal Support Vector Machine technique is a recent approach for
Multiple Instance Learning (MIL) problems. It exploits the benefits exhibited in the …

On a recent algorithm for multiple instance learning. Preliminary applications in image classification

A Astorino, A Fuduli, P Veltri… - 2017 IEEE international …, 2017 - ieeexplore.ieee.org
We present an application of a Multiple Instance Learning (MIL) approach to image
classification. In particular we focus on a recent MIL method for binary classification where …

Malicious URL detection via spherical classification

A Astorino, A Chiarello, M Gaudioso… - Neural Computing and …, 2017 - Springer
We introduce and test a binary classification method aimed at detecting malicious URL on
the basis of some information on both the URL syntax and its domain properties. Our method …

Binary classification via spherical separator by DC programming and DCA

HA Le Thi, HM Le, T Pham Dinh… - Journal of Global …, 2013 - Springer
In this paper, we consider a binary supervised classification problem, called spherical
separation, that consists of finding, in the input space or in the feature space, a minimal …

A maximum-margin multisphere approach for binary multiple instance learning

A Astorino, M Avolio, A Fuduli - European Journal of Operational Research, 2022 - Elsevier
We propose a heuristic approach for solving binary Multiple Instance Learning (MIL)
problems, whose objective is to categorize bags of instances. Considering the case with two …