A probabilistic kernel approach for solving the multi-instance learning problems with different assumptions

Lixin Shen, Jianjun He, Shuang Qiao
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Abstract

Multi-instance learning (MIL) has received more and more attentions in the machine learning research field due to its theoretical interest and its applicability to diverse real-world problems. In this paper, we present a probabilistic kernel approach for the multi-instance learning problems with various multi-instance assumptions by imposing Gaussian process prior on an unobservable latent function defined on the instance space. Because the relationship between the bag and its instances, triggered by the multi-instance assumption, can be exactly captured by defining the likelihood function, we can deal with different multi-instance assumptions by employing different likelihood functions. Experimental results on several multi-instance problems show that the proposed algorithms are valid and can achieve superior performance to the published MIL algorithms.
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一种求解不同假设下多实例学习问题的概率核方法
多实例学习(MIL)由于其理论价值和对各种现实问题的适用性,在机器学习研究领域受到越来越多的关注。本文提出了一种概率核方法,通过对实例空间上定义的不可观察隐函数施加高斯过程先验,来解决具有各种多实例假设的多实例学习问题。由于可以通过定义似然函数精确地捕获由多实例假设触发的袋子与其实例之间的关系,因此我们可以通过使用不同的似然函数来处理不同的多实例假设。在多个多实例问题上的实验结果表明,所提算法是有效的,并能取得优于已有MIL算法的性能。
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