Research map / Probabilistic and scientific modeling / Variational and generative sampling
Variational Sparse Coding with Learned Thresholding
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Apply shifted soft-thresholding to Laplacian samples | Variational sparse coding with a linear generator · Whitened image patches | Validation loss: 5.79E+02 -> 1.94E+02 | Helped |
| Apply shifted soft-thresholding to Gaussian samples | Variational sparse coding with a linear generator · Whitened image patches | Validation loss: 1.35E+03 -> 2.30E+02 | Helped |
| Apply shifted soft-thresholding to Gaussian samples | Variational sparse coding with a linear generator · Whitened image patches | Multi-Information: 7.36E+02 -> 1.76E+02 | Helped |
| Add a learned Gamma prior on the threshold instead of fixing the threshold (ablation) | Thresholded Gaussian · Whitened image patches | Validation loss: 2.30E+02 -> 2.70E+02 | Hurt |
| Add a learned Gamma prior on the threshold instead of fixing the threshold (ablation) | Thresholded Laplacian · Whitened image patches | Validation loss: 1.94E+02 -> 2.11E+02 | Hurt |
| Use a straight-through estimator rather than a subgradient (ablation) | Thresholded Laplacian · Collapse test, J=1 | Posterior collapse: NaN -> 4.17% | Helped |
| Use a straight-through estimator rather than a subgradient (ablation) | Thresholded Laplacian · Collapse test, J=20 | Feature collapse: 100.00% -> 0.00% | Helped |
| Use max-ELBO sampling instead of averaging sample losses (ablation) | Thresholded sparse variational inference · Fixed validation inputs | Support consistency (Jaccard index) | Helped |
| Use thresholded sparse priors rather than a Gaussian prior | VAE with a DNN generator · Fashion MNIST and CelebA | Multi-Information | Helped |
| Use Thresholded Gaussian or Thresholded Gaussian+Gamma rather than Spike-and-slab | VAE with a DNN generator · Fashion MNIST and CelebA | Performance as latent dimensionality increases | Helped |
| Increase the degree of sparsity using thresholded methods (ablation) | VAE with a DNN generator · Fashion MNIST and CelebA | Mean squared error | Helped |
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