Multiple-Instance Ordinal Regression.

Ordinal regression (OR) is a paradigm in supervised learning, which aims at learning a prediction model for ordered classes. The existing studies mainly focus on single-instance OR, and the multi-instance OR problem has not been explicitly addressed. In many real-world applications, considering the OR problem from a multiple-instance aspect can yield better classification performance than from a single-instance aspect. For example, in image retrieval, an image may contain multiple and possibly heterogeneous objects. The user is usually interested in only a small part of the objects. If we represent the whole image as a global feature vector, the useful information from the targeted objects that the user is of interest may be overridden by the noisy information from irrelevant objects. However, this problem fits in the multiple-instance setting well. Each image is considered as a bag, and each object region is treated as an instance. The image is considered as of the user interest if it contains at least one targeted object region. In this paper, we address the multi-instance OR where the OR classifier is learned on multiple-instance data, instead of single-instance data. To solve this problem, we present a novel multiple-instance ordinal regression (MIOR) method. In MIOR, a set of parallel hyperplanes is used to separate the classes, and the label ordering information is incorporated into learning the classifier by imputing the parallel hyperplanes with an order. Moreover, considering that a bag may contain instances not belonging to its class, for each bag, the instance which is nearest to the middle of the corresponding class is selected to learn the classifier. Compared with the existing single-instance OR work, MIOR is able to learn a more accurate OR classifier on multiple-instance data where only the bag label is available and the instance label is unknown. Extensive experiments show that MIOR outperforms the existing single-instance OR methods.