<ul data-eligibleForWebStory="false">Plug-and-Play (PnP) algorithms combine a physical model and deep neural network for image restoration.PnP algorithms previously used denoisers on less noisy images, contrary to Diffusion Models.SNORE is a new PnP framework that applies denoising on images with suitable noise levels.SNORE uses stochastic regularization in a gradient descent algorithm for solving inverse problems.The algorithm's convergence analysis and annealing extension are provided.SNORE is competitive with state-of-the-art methods for deblurring and inpainting tasks.