Continuous Diffusion Models with Explicit Score Matching for Highly Efficient Anomaly Detection

16 Sept 2025 (modified: 11 Feb 2026)Submitted to ICLR 2026EveryoneRevisionsBibTeXCC BY 4.0
Keywords: Diffusion models, Explicit score matching, variance-guided, Anomaly detection
TL;DR: We propose a diffusion model framework based on explicit score matching and a variance-guided process for anomaly detection, achieving SOTA performance with high efficiency.
Abstract: Diffusion models have proven to be highly effective in generating high-quality reconstructed images, making them ideal for the rigorous requirements of reconstruction-based anomaly detection systems. While continuous diffusion mod- els unify discrete implementations, existing methods predom- inantly rely on denoising score matching (DSM), as directly acquiring explicit scores remains challenging. In this study, we introduce a novel diffusion framework utilizing explicit score matching (ESM) via a dual-stream neural network, trained by maximum likelihood estimation. Based on the first systematic comparison between DSM and ESM paradigms, variance-guided diffusion process is developed to further im- prove the performance. Comprehensive experimental evalua- tions confirm the superior anomaly detection capabilities and computational efficiency of the proposed system. The frame- work’s flexibility allows seamless integration with existing diffusion models, offering a potential pathway for broader ap- plications in generative tasks.
Supplementary Material: zip
Primary Area: generative models
Submission Number: 7498
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