A Mixture Autoregressive Image Generative Model on Quadtree Regions for Gaussian Noise Removal via Variational Bayes and Gradient Methods

• URL: http://arxiv.org/abs/2605.11585v1
• Date: Tue, 12 May 2026 06:08:46 GMT
• Title: A Mixture Autoregressive Image Generative Model on Quadtree Regions for Gaussian Noise Removal via Variational Bayes and Gradient Methods
• Abstract summary: This paper addresses the problem of image denoising for grayscale images.<n>We propose a framework that reduces MAP (maximum a posteriori)estimation-based denoising to a variational lower bound.<n>We demonstrate that the gradient-based update rule can be computed analytically without numerical or approximation.
• Score: 5.919883768888408
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This paper addresses the problem of image denoising for grayscale images. We propose a probabilistic image generative model that combines a quadtree region-partitioning model with a mixture autoregressive model, and propose a framework that reduces MAP (maximum a posteriori)-estimation-based denoising to the maximization of a variational lower bound. To maximize this lower bound, we develop an algorithm that alternately applies variational Bayes and gradient methods. We particularly demonstrate that the gradient-based update rule can be computed analytically without numerical computation or approximation. We carried out some experiments to verify that the proposed algorithm actually removes image noise and to identify directions for future improvement.

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