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Oct 29, 2018 · The correlations of phase harmonics coefficients characterise coherent structures from their phase dependence across frequencies.
Sep 8, 2024 · We prove that linear rectifiers act as phase transformations on complex analytic extensions of convolutional network coefficients.
Oct 29, 2018 · Phase Harmonics and Correlation Invariants in Convolutional Neural Networks · S. Mallat, Sixin Zhang, G. Rochette · Published in arXiv.org 29 ...
Abstract:We prove that linear rectifiers act as phase transformations on complex analytic extensions of convolutional network coefficients.
[PDF] Phase Harmonic Correlations and Convolutional Neural Networks
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A major issue in harmonic analysis is to capture the phase dependence of frequency representations, which carries important signal properties.
Bibliographic details on Phase Harmonics and Correlation Invariants in Convolutional Neural Networks.
The correlations of phase harmonics coefficients characterize coherent structures from their phase dependence across frequencies. For wavelet filters, we show ...
Jun 29, 2019 · The main contribution of this paper is to define a stable local phase harmonic representation, where phase dependencies can be captured by ...
It is shown numerically that signals having sparse wavelet coefficients can be recovered from few phase harmonic correlations, which provide a compressive ...
The correlations of phase harmonics coefficients characterize coherent structures from their phase dependence across frequencies. For wavelet filters, we show ...