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A Semiproximal Support Vector Machine Approach for Binary Multiple Instance Learning

机译:用于二进制多实例学习的半辅助支持向量机方法

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摘要

We face a binary multiple instance learning (MIL) problem, whose objective is to discriminate between two kinds of point sets: positive and negative. In the MIL terminology, such sets are called bags, and the points inside each bag are called instances. Considering the case with two classes of instances (positive and negative) and inspired by a well-established instance-space support vector machine (SVM) model, we propose to extend to MIL classification the proximal SVM (PSVM) technique that has revealed very effective for supervised learning, especially in terms of computational time. In particular, our approach is based on a new instance-space model that exploits the benefits coming from both SVM (better accuracy) and PSVM (computational efficiency) paradigms. Starting from the standard MIL assumption, such a model is aimed at generating a hyperplane placed in the middle between two parallel hyperplanes: the first one is a proximal hyperplane that clusters the instances of the positive bags, while the second one constitutes a supporting hyperplane for the instances of the negative bags. Numerical results are presented on a set of MIL test data sets drawn from the literature.
机译:我们面临二进制多实例学习(MIL)问题,其目的是区分两种点集:正负。在MIL术语中,这样的组称为袋子,每个袋子内的点被称为实例。考虑到两类实例(正负)和受到良好的实例 - 空间支持向量机(SVM)模型的启发的情况,我们建议扩展到MIL分类近似SVM(PSVM)技术,揭示了非常有效的对于监督学习,特别是在计算时间方面。特别是,我们的方法基于新的实例 - 空间模型,用于利用SVM(更好的精度)和PSVM(计算效率)范例的益处。从标准密耳的假设开始,这种模型旨在生成放置在两个并行超平面之间的中间的超平面:第一个是近似超平面,围绕正袋的情况,而第二个是构成支持的超平面负袋的情况。在从文献中绘制的一组MIL测试数据集上呈现了数值结果。

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