Bilinear models has been shown to achieve impressive performance on a wide
range of visual tasks, such as semantic segmentation, fine grained recognition
and face recognition. However, bilinear features are high dimensional,
typically on the order of hundreds of thousands to a few million, which makes
them impractical for subsequent analysis. We propose two compact bilinear
representations with the same discriminative power as the full bilinear
representation but with only a few thousand dimensions. Our compact
representations allow back-propagation of classification errors enabling an
end-to-end optimization of the visual recognition system. The compact bilinear
representations are derived through a novel kernelized analysis of bilinear
pooling which provide insights into the discriminative power of bilinear
pooling, and a platform for further research in compact pooling methods.
Experimentation illustrate the utility of the proposed representations for
image classification and few-shot learning across several datasets.

本研究提出两种紧凑的双线性表示方法，与完整的双线性表示具有相同的判别能力，但仅具有几千个维度。这些紧凑的表示通过对双线性池化的核分析导出，为其他紧凑池化方法的研究提供了平台。实验证明，提出的表示方法对于多个数据集的图像分类和少样本学习都具有实用价值。