# The soft-margin Support Vector Machine with ordered weighted average

arXiv: https://arxiv.org/abs/2107.06713 · HTML: https://mlsanity.com/paper/2107.06713/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 14 Jul 2021.

## Built on by (most cited first, 1 of 1)

- [OWAdapt: An adaptive loss function for deep learning using OWA operators](https://mlsanity.com/paper/2305.19443/) (2023)

## Abstract (arXiv)

This paper deals with an extension of the Support Vector Machine (SVM) for classification problems where, in addition to maximize the margin, i.e., the width of strip defined by the two supporting hyperplanes, the minimum of the ordered weighted sum of the deviations of miclassified individuals is considered. Since the ordered weighted sum includes as particular case the sum of these deviations, the classical SVM model is a particular case of the model under study. A quadratic continuous formulation for the case in which weights are sorted in non-decreasing order is introduced, and a mixed integer quadratic formulation for general weights is presented. In both cases, we show that these formulations allow us the use of kernel functions to construct non linear classifiers. Besides, we report some computational results about the predictive performance of the introduced approach (also in its kernel version) in comparison with other SVM models existing in the literature.