Learning to Recorrupt: Noise Distribution Agnostic Self-Supervised Image Denoising

arXiv stat.ML / 3/30/2026

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Key Points

  • Self-supervised image denoising methods often avoid trivial identity mapping by using architectural constraints or loss functions that assume knowledge of the noise distribution.
  • Prior “recorruption” approaches (e.g., Noisier2Noise, Recorrupted2Recorrupted) depend on knowing the noise distribution to synthesize effective noisy training pairs.
  • The paper introduces Learning to Recorrupt (L2R), a noise distribution-agnostic approach that learns the recorruption process using a learnable monotonic neural network.
  • L2R formulates training as a min-max saddle-point objective and removes the need for explicit noise-distribution knowledge.
  • Experiments report state-of-the-art denoising performance across multiple challenging noise types, including heavy-tailed, spatially correlated, and signal-dependent Poisson-Gaussian noise.

Abstract

Self-supervised image denoising methods have traditionally relied on either architectural constraints or specialized loss functions that require prior knowledge of the noise distribution to avoid the trivial identity mapping. Among these, approaches such as Noisier2Noise or Recorrupted2Recorrupted, create training pairs by adding synthetic noise to the noisy images. While effective, these recorruption-based approaches require precise knowledge of the noise distribution, which is often not available. We present Learning to Recorrupt (L2R), a noise distribution-agnostic denoising technique that eliminates the need for knowledge of the noise distribution. Our method introduces a learnable monotonic neural network that learns the recorruption process through a min-max saddle-point objective. The proposed method achieves state-of-the-art performance across unconventional and heavy-tailed noise distributions, such as log-gamma, Laplace, and spatially correlated noise, as well as signal-dependent noise models such as Poisson-Gaussian noise.