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First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. The authors propose a novel method for image representation called Convolutional Kernel Methods. It is different from similar methods in that it is not designed for explicitly reconstructing then data, or for classifying it. The patch-map and gradient-map approaches obtain quite competitive numbers on MNIST, and reasonable numbers (if not quite state of the art) on CIFAR-10 and STL-10. The Gabor filters obtained on the natural image patches are quite interesting too.