Neural Anisotropy Directions
Guillermo Ortiz-Jiménez, Apostolos Modas, Seyed-Mohsen Moosavi-Dezfooli, Pascal Frossard
Abstract
In this work, we analyze the role of the network architecture in shaping the inductive bias of deep classifiers. To that end, we start by focusing on a very simple problem, i.e., classifying a class of linearly separable distributions, and show that, depending on the direction of the discriminative feature of the distribution, many state-ofthe-art deep convolutional neural networks (CNNs) have a surprisingly hard time solving this simple task. We then define as neural anisotropy directions (NADs) the vectors that encapsulate the directional inductive bias of an architecture. These vectors, which are specific for each architecture and hence act as a signature, encode the preference of a network to separate the input data based on some particular features. We provide an efficient method to identify NADs for several CNN architectures and thus reveal their directional inductive biases. Furthermore, we show that, for the CIFAR-10 dataset, NADs characterize the features used by CNNs to discriminate between different classes. * Equal contribution. Correspondence to guillermo.ortizjimenez, apostolos.modas@epfl.ch. The code to reproduce our experiments can be found at https://github.com/LTS4/neural-anisotropy-directions . 34th Conference on Neural Information Processing Systems (NeurIPS 2020),
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- What can linearized neural networks actually say about generalization?Guillermo Ortiz-Jiménez, Seyed-Mohsen Moosavi-Dezfooli, Pascal FrossardNeurIPS 2021 · 62 citations
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- On the Relationship between Self-Attention and Convolutional LayersJean-Baptiste Cordonnier, Andreas Loukas, Martin JaggiICLR 2020 · 629 citations
- Hold me tight! Influence of discriminative features on deep network boundariesGuillermo Ortiz-Jiménez, Apostolos Modas, Seyed-Mohsen Moosavi-Dezfooli, Pascal FrossardNeurIPS 2020 · 53 citations
- High-Frequency Component Helps Explain the Generalization of Convolutional Neural NetworksHaohan Wang, Xindi Wu, Zeyi Huang, Eric P. XingCVPR 2020
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