Wavelet scattering is a convolutional network formed by cascade of wavelets, modulus nonlinearities, and lowpass filters. It yields invariant, sparse, and stable representations useful for classification, generation, and other tasks. Filters are fixed, but architecture differentiable and extendable with learned layers adapted to data.
Questions tagged [scattering]
8 questions
4
votes
1 answer
Wavelet Scattering explanation?
How does Wavelet Scattering work, intuitively? What are its motivations, and how's it differ from the (continuous) Wavelet Transform? Can it be visualized?
OverLordGoldDragon
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3
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Wavelet Scattering properties & implementation?
What are the properties of the scattering transform, besides shift invariance and warp stability? How is it implemented in practice, and how can one visualize its computational graph?
OverLordGoldDragon
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2
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1 answer
Choosing a good low pass filter in the wavelet scattering transform
What's the impact of a specific filter $\phi$ when building the wavelet scattering transform? I mean, if I compute the MFCC choosing different windows, (Hamming, Blackman, etc.), the behaviour concerning time-warping deformations changes. For…
dac
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1
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1 answer
Building the low pass filter in the wavelet scattering transform
In 1, analyzing the equivalence between MFCC and wavelet transform, the scaled wavelets are truncated for $\lambda < 2\pi Q/T$ to fit the time spread of the wavelets within the length $T$ of the window. The lower part of the spectrum is divided into…
dac
- 77
- 4
1
vote
1 answer
Joint Time-Frequency Scattering explanation?
How does JTFS work, intuitively? What are its motivations, and how's it differ from the Wavelet (time) Scattering transform? Can it be visualized?
OverLordGoldDragon
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0
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Time support for wavelets in scattering transform
In 1 they say that the energy of $\psi_\lambda(t)$ is concentrated in an interval of length $2\pi Q/\lambda$. I understand the inverse proportionality between the frequency band $\lambda/Q$ and the time support but I'm missing where that formula is…
dac
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0
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1 answer
Joint Time-Frequency Scattering structure & implementation?
How does JTFS differ from wavelet time scattering in its computation graph, and how does FDTS discriminability work, at a lower level? How is it implemented in practice, and how can one visualize involved ops? Can the coefficients be normalized (for…
OverLordGoldDragon
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0
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Wavelet Scattering time-warp equivariance
Is scattering equivariant to multiplicative time warps? Defined as
$$
x(t) \rightarrow x(\tau(t)t),\ \text{sup}|\tau'(t)| < 1
$$
This post claims it holds approximately - what are the arguments, and approximation conditions?
OverLordGoldDragon
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