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This article presents a novel deep network with irregular convolutional kernels and self-expressive property (DIKS) for the classification of hyperspectral images (HSIs). Specifically, we use the principal component analysis (PCA) and superpixel segmentation to obtain a series of irregular patches, which are regarded as convolutional kernels of our network. With such kernels, the feature maps of HSIs can be adaptively computed to well describe the characteristics of each object class. After multiple convolutional layers, features export