70 research outputs found
Deep Roto-Translation Scattering for Object Classification
Dictionary learning algorithms or supervised deep convolution networks have
considerably improved the efficiency of predefined feature representations such
as SIFT. We introduce a deep scattering convolution network, with predefined
wavelet filters over spatial and angular variables. This representation brings
an important improvement to results previously obtained with predefined
features over object image databases such as Caltech and CIFAR. The resulting
accuracy is comparable to results obtained with unsupervised deep learning and
dictionary based representations. This shows that refining image
representations by using geometric priors is a promising direction to improve
image classification and its understanding.Comment: 9 pages, 3 figures, CVPR 2015 pape
Kymatio: Scattering Transforms in Python
The wavelet scattering transform is an invariant signal representation
suitable for many signal processing and machine learning applications. We
present the Kymatio software package, an easy-to-use, high-performance Python
implementation of the scattering transform in 1D, 2D, and 3D that is compatible
with modern deep learning frameworks. All transforms may be executed on a GPU
(in addition to CPU), offering a considerable speed up over CPU
implementations. The package also has a small memory footprint, resulting
inefficient memory usage. The source code, documentation, and examples are
available undera BSD license at https://www.kymat.io
Exponential decay of scattering coefficients
We study an aspect of the following general question: which properties of a
signal can be characterized by its scattering transform? We show that the
energy contained in high order scattering coefficients is upper bounded by the
energy contained in the high frequencies of the signal. This result links the
decay of the scattering coefficients of a signal with the decay of its Fourier
transform. Additionally, it allows to generalize some results of Mallat (2012),
by relaxing the admissibility condition on the wavelet family
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