SVCCA: Singular Vector Canonical Correlation Analysis for Deep Learning Dynamics and Interpretability

    Abstract

    We propose a new technique, Singular Vector Canonical Correlation Analysis (SVCCA), a tool for quickly comparing two representations in a way that is both invariant to affine transform (allowing comparison between different layers and networks) and fast to compute (allowing more comparisons to be calculated than with previous methods). We deploy this tool to measure the intrinsic dimensionality of layers, showing in some cases needless over-parameterization; to probe learning dynamics throughout training, finding that networks converge to final representations from the bottom up; to show where class-specific information in networks is formed; and to suggest new training regimes that simultaneously save computation and overfit less.

    Authors

    Maithra Raghu, Justin Gilmer, Jason Yosinski, Jascha Sohl-Dickstein

    Conference

    NIPS 2017

    Full Paper

    ‘SVCCA: Singular Vector Canonical Correlation Analysis for Deep Learning Dynamics and Interpretability’ (PDF)

    Uber AI

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