arXiv Machine Learning By Fabian Kruse, Lorenzo Baldassari, Ivan Dokmani\'c

Learning Clean Generative Processes from Noisy Measurements

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The paper investigates learning a generative model for clean images from only noisy observations. It shows that Noise2Noise regression can learn posterior predictions at or above the training noise level, but to predict below that level a consistency constraint is required. The authors derive conditions under which this consistency uniquely determines the continuation to the clean image distribution and validate the approach on CIFAR-10, photon‑counting microscopy, and synthetic aperture radar data.

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