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Deep Network Classification by Scattering and Homotopy Dictionary Learning

ICLR 2020 · Architectures and efficiency › CNN design · approach: Filter design and trained-filter analysis · 7 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add a learned positive sparse-code stage to scattering features, using W=D.Scattering representation with an MLP classifier · ImageNet 2012Top5 accuracy: 65.3 -> 81.0Helped
Add a learned positive sparse-code stage to scattering features, using W=D.Scattering representation with an MLP classifier · ImageNet 2012Top1 accuracy: 42.0 -> 59.2Helped
Learn W independently instead of constraining W=D. (ablation)Scattering + ISTC sparse-code classifier · ImageNet 2012Top5 accuracy: 81.0 -> 83.7Helped
Learn W independently instead of constraining W=D. (ablation)Scattering + ISTC sparse-code classifier · ImageNet 2012Top1 accuracy: 59.2 -> 62.8Helped
Learn W independently instead of constraining W=D. (ablation)ISTC sparse coding · ImageNet 2012 sparse-code convergenceL1 Lagrangian minimizationHurt
Classify the reconstruction D alpha instead of the sparse code alpha. (ablation)Scattering + ISTC with W=D · ImageNet 2012Top5 accuracy: 81.0 -> 79.3Hurt
Classify the reconstruction D alpha instead of the sparse code alpha. (ablation)Scattering + ISTC with W=D · ImageNet 2012Top1 accuracy: 59.2 -> 56.9Hurt
Use the ISTC sparse code with W=D rather than scattering features alone.Linear classifier · ImageNet 2012Top1 accuracy: 26.1% -> 51.6%Helped
Use the ISTC sparse code with W=D rather than scattering features alone.Linear classifier · ImageNet 2012Top5 accuracy: 44.7% -> 73.7%Helped
Use ISTC with W=D instead of ISTA for 12 iterations.Sparse-code solver · ImageNet 2012 learned dictionaryRelative MSE: 0.45 -> 0.02Helped
Use ISTC with W=D instead of FISTA for 12 iterations.Sparse-code solver · ImageNet 2012 learned dictionaryRelative MSE: 0.23 -> 0.02Helped
Replace the learned dimension-reduction operator L with unsupervised PCA. (ablation)Sparse scattering network · ImageNet 2012classification accuracyHurt

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