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Improving support vector domain description by maximizing the distance between negative examples and the minimal sphere center's

机译:通过最大化否定示例与最小球体中心之间的距离来改善支持向量域的描述

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摘要

Support Vector Domain Description (SVDD) is an effective kernel-based method used for data description. It was motivated by the success of Support Vector Machine (SVM) and thus has inherited many of its attractive properties. It has been extensively used for novelty detection and has been applied successfully to a variety of classification problems. This classifier aims to find a sphere with minimal volume including the majority of examples that belong to the class of interest (positive) and excluding the most of examples that are either outliers or belong to other classes (negatives). In this paper we propose a new approach to improve the classification accuracy of SVDD. This objective will be achieved by exploiting the existence of negative examples in the training step, without increasing the computational time and memory resources required to solve the quadratic programming problem of that classifier. Simulation results on two challenging artificial problems, namely chessboard and two spirals, and four benchmark datasets have successfully validated the effectiveness of the proposed method.
机译:支持向量域描述(SVDD)是一种有效的基于内核的数据描述方法。它是由支持向量机(SVM)的成功推动的,因此继承了其许多吸引人的特性。它已被广泛用于新颖性检测,并已成功应用于各种分类问题。该分类器旨在查找体积最小的球体,其中包括属于关注类别(正)的大多数示例,而排除了离群或属于其他类别(负)的大多数示例。在本文中,我们提出了一种新的方法来提高SVDD的分类精度。通过在训练步骤中利用否定示例的存在,而不增加解决该分类器的二次编程问题所需的计算时间和内存资源,即可实现此目标。在两个具有挑战性的人为问题上的仿真结果,即棋盘和两个螺旋,以及四个基准数据集已成功验证了该方法的有效性。

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