Research map / Probabilistic and scientific modeling / Variational and generative sampling
Convolutional dictionary learning based auto-encoders for natural exponential-family distributions
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| untie encoder and decoder weights, allowing more parameters (ablation) | DCEA-C · Poisson image denoising, Set12 and BSD68 | PSNR (dB): DCEA-C to DCEA-UC: Set12 peak 1 20.72 -> 21.37; BSD68 peak 1 21.27 -> 21.84; Set12 peak 2 22.02 -> 22.79; BSD68 peak 2 2 | Helped |
| replace the linear decoder with a nonlinear two-layer decoder (ablation) | DCEA-UC · Poisson image denoising | PSNR (dB): increase in PSNR of ~0.2 dB | Helped |
| untie encoder and decoder weights (ablation) | DCEA-C · Simulated binomial ECDL | filter recovery error | Hurt |
| use a linear link and Gaussian likelihood instead of the correct sigmoid link and binomial likelihood (ablation) | DCEA-b · Simulated binomial ECDL, 200 observations | filter recovery error: DCEA-g with 200 observations: close to 0.4; DCEA-b with M_j=30: 0.09 | Hurt |
| use the correct binomial likelihood and sigmoid link (ablation) | DCEA-g · Simulated binomial ECDL | filter recovery error: close to 0.4 -> 0.09 | Helped |
| replace the ReLU sparse-code operator with hard thresholding (ablation) | Binomial SEA · Binomial dictionary recovery under the theorem assumptions | dictionary recovery | No clear effect |
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