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From the Gradient-Step Denoiser to the Proximal Denoiser and their associated convergent Plug-and-Play algorithms

Published: September 11, 2025 | arXiv ID: 2509.09793v1

By: Vincent Herfeld , Baudouin Denis de Senneville , Arthur Leclaire and more

Potential Business Impact:

Cleans up blurry pictures perfectly.

Business Areas:
Machine Learning Artificial Intelligence, Data and Analytics, Software

In this paper we analyze the Gradient-Step Denoiser and its usage in Plug-and-Play algorithms. The Plug-and-Play paradigm of optimization algorithms uses off the shelf denoisers to replace a proximity operator or a gradient descent operator of an image prior. Usually this image prior is implicit and cannot be expressed, but the Gradient-Step Denoiser is trained to be exactly the gradient descent operator or the proximity operator of an explicit functional while preserving state-of-the-art denoising capabilities.

Page Count
20 pages

Category
Computer Science:
Machine Learning (CS)