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Research map / Probabilistic and scientific modeling / Variational and generative sampling

Variational Sparse Coding with Learned Thresholding

ICML 2022 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Variational methods for sequence models · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply shifted soft-thresholding to Laplacian samplesVariational sparse coding with a linear generator · Whitened image patchesValidation loss: 5.79E+02 -> 1.94E+02Helped
Apply shifted soft-thresholding to Gaussian samplesVariational sparse coding with a linear generator · Whitened image patchesValidation loss: 1.35E+03 -> 2.30E+02Helped
Apply shifted soft-thresholding to Gaussian samplesVariational sparse coding with a linear generator · Whitened image patchesMulti-Information: 7.36E+02 -> 1.76E+02Helped
Add a learned Gamma prior on the threshold instead of fixing the threshold (ablation)Thresholded Gaussian · Whitened image patchesValidation loss: 2.30E+02 -> 2.70E+02Hurt
Add a learned Gamma prior on the threshold instead of fixing the threshold (ablation)Thresholded Laplacian · Whitened image patchesValidation loss: 1.94E+02 -> 2.11E+02Hurt
Use a straight-through estimator rather than a subgradient (ablation)Thresholded Laplacian · Collapse test, J=1Posterior collapse: NaN -> 4.17%Helped
Use a straight-through estimator rather than a subgradient (ablation)Thresholded Laplacian · Collapse test, J=20Feature collapse: 100.00% -> 0.00%Helped
Use max-ELBO sampling instead of averaging sample losses (ablation)Thresholded sparse variational inference · Fixed validation inputsSupport consistency (Jaccard index)Helped
Use thresholded sparse priors rather than a Gaussian priorVAE with a DNN generator · Fashion MNIST and CelebAMulti-InformationHelped
Use Thresholded Gaussian or Thresholded Gaussian+Gamma rather than Spike-and-slabVAE with a DNN generator · Fashion MNIST and CelebAPerformance as latent dimensionality increasesHelped
Increase the degree of sparsity using thresholded methods (ablation)VAE with a DNN generator · Fashion MNIST and CelebAMean squared errorHelped

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