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arXiv 2101.07528cs.CVcs.LG

The Unreasonable Effectiveness of Patches in Deep Convolutional Kernels Methods

Département d’Informatique de l’ENS(巴黎高等师范学院计算机系);ENS(巴黎高等师范学院);CNRS(法国国家科学研究中心);PSL University(巴黎文理研究大学);Gatsby Computational Neuroscience Unit(盖茨比计算神经科学中心);University College London(伦敦大学学院);Concordia University(康考迪亚大学);Mila(米拉人工智能研究所);LIP6(巴黎第六大学计算机实验室);Sorbonne University(索邦大学)

Louis Thiry, Michael Arbel, Eugene Belilovsky, Edouard Oyallon

英文摘要:

A recent line of work showed that various forms of convolutional kernel methods can be competitive with standard supervised deep convolutional networks on datasets like CIFAR-10, obtaining accuracies in the range of 87-90% while being more amenable to theoretical analysis. In this work, we highlight the importance of a data-dependent feature extraction step that is key to the obtain good performance in convolutional kernel methods. This step typically corresponds to a whitened dictionary of patches, and gives rise to a data-driven convolutional kernel methods. We extensively study its effect, demonstrating it is the key ingredient for high performance of these methods. Specifically, we show that one of the simplest instances of such kernel methods, based on a single layer of image patches followed by a linear classifier is already obtaining classification accuracies on CIFAR-10 in the same range as previous more sophisticated convolutional kernel methods. We scale this method to the challenging ImageNet dataset, showing such a simple approach can exceed all existing non-learned representation methods. This is a new baseline for object recognition without representation learning methods, that initiates the investigation of convolutional kernel models on ImageNet. We conduct experiments to analyze the dictionary that we used, our ablations showing they exhibit low-dimensional properties.

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