Research map / Learning theory and algorithms / Kernels and regression theory
High-dimensional Asymptotics of Denoising Autoencoders
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| include a skip connection (full DAE) instead of bottleneck network alone (ablation) | two-layer tied-weight DAE · Gaussian mixture denoising | denoising test MSE | Helped |
| compare the full DAE with PCA denoising | DAE · Gaussian mixture denoising | denoising test MSE | Helped |
| add the bottleneck network to the learnt rescaling component (ablation) | rescaling-only denoiser · Gaussian mixture, low noise levels | denoising test MSE | Helped |
| add the bottleneck network to the rescaling component at high noise (ablation) | rescaling-only denoiser · Gaussian mixture, high noise levels | denoising test MSE | No clear effect |
| increase sample complexity alpha | DAE · isotropic binary mixture | gap of MSE to oracle denoiser | Helped |
| use a non-linear activation instead of a linear model (ablation) | DAE · Gaussian mixture denoising | denoising test MSE | Helped |
Closest papers by meaning
- Denoising Criterion for Variational Auto-Encoding Framework (AAAI 2017 · similarity 0.88)
- Noisier2Noise: Learning to Denoise From Unpaired Noisy Data (CVPR 2020 · similarity 0.87)
- Noise2Self: Blind Denoising by Self-Supervision (ICML 2019 · similarity 0.87)
- Sublinear Variational Optimization of Gaussian Mixture Models with Millions to Billions of Parameters (NeurIPS 2026 · similarity 0.87)
- Compression of Structured Data with Autoencoders: Provable Benefit of Nonlinearities and Depth (ICML 2024 · similarity 0.86)
- Analysis of Learning a Flow-based Generative Model from Limited Sample Complexity (ICLR 2024 · similarity 0.85)
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