# Questions tagged [scattering]

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.

11 questions
Filter by
Sorted by
Tagged with
1 vote
99 views

### Classification of Signals using Features Extracted from Wavelet Scattering Coefficients

I have a set of RF signal samples of 2s length each recorded at 2MHz sampling rate, such as this IQ file: https://www.dropbox.com/s/dd6fr4va4alpazj/move_x_movedist_1_speed_25k_sample_6.wav?dl=0 I can ...
• 77
49 views

### Wavelet Scattering (Kymatio) Zero Divison Error

I'm attempting to make use of wavelet scattering to analyse my signal samples. The example IQ Wav file I am using is as follows: https://www.dropbox.com/s/dd6fr4va4alpazj/...
• 77
45 views

### 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 ...
• 77
48 views

### 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 ...
• 77
1 vote
52 views

### 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 ...
• 77
134 views

### 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 ...
• 5,295
1 vote
284 views

### 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?
• 5,295
51 views

### 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, ...
• 5,295
579 views

### 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?
• 5,295