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Convolutional dictionary learning based auto-encoders for natural exponential-family distributions

ICML 2020 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Score-based generative modeling analysis · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
untie encoder and decoder weights, allowing more parameters (ablation)DCEA-C · Poisson image denoising, Set12 and BSD68PSNR (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 2Helped
replace the linear decoder with a nonlinear two-layer decoder (ablation)DCEA-UC · Poisson image denoisingPSNR (dB): increase in PSNR of ~0.2 dBHelped
untie encoder and decoder weights (ablation)DCEA-C · Simulated binomial ECDLfilter recovery errorHurt
use a linear link and Gaussian likelihood instead of the correct sigmoid link and binomial likelihood (ablation)DCEA-b · Simulated binomial ECDL, 200 observationsfilter recovery error: DCEA-g with 200 observations: close to 0.4; DCEA-b with M_j=30: 0.09Hurt
use the correct binomial likelihood and sigmoid link (ablation)DCEA-g · Simulated binomial ECDLfilter recovery error: close to 0.4 -> 0.09Helped
replace the ReLU sparse-code operator with hard thresholding (ablation)Binomial SEA · Binomial dictionary recovery under the theorem assumptionsdictionary recoveryNo clear effect

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