用物理启发先验提升图像去噪在强噪声下的稳定性。
WIPUNet: A Physics-inspired Network with Weighted Inductive Biases for Image Denoising
- 将粒子物理中的守恒、局域性等先验融入网络设计
- 高斯噪声下(σ=100)性能优于传统模型,且噪声越高优势越明显
- 适合研究鲁棒性或物理启发模型的学者参考
在高能粒子物理中,对撞测量受'堆叠'污染影响,即重叠的软相互作用掩盖了感兴趣的硬散射信号。专用减法策略利用守恒、局域性和隔离性等物理先验。受此启发,我们探究如何将此类原则应用于图像去噪,通过在神经架构中嵌入物理引导的归纳偏置。本文为概念验证:不追求最先进的基准表现,而是考察物理启发先验是否能提升强干扰下的鲁棒性。我们提出一系列受堆叠启发的去噪器:带守恒约束的残差卷积网络及其高斯噪声变体,以及基于堆叠物理启发的加权归纳先验的去噪U-Net(WIPUNet),将其整合到标准U-Net结构中。在CIFAR-10上,针对σ∈{15,25,50,75,100}的高斯噪声,堆叠启发的CNN与标准基线相当,而WIPUNet在更高噪声下展现出显著提升。互补的BSD500实验也呈现相同趋势,表明物理启发先验能在纯数据驱动模型退化时提供稳定性。贡献包括:(i) 将堆叠缓解原则转化为可模块化的归纳偏置;(ii) 集成至U-Net结构;(iii) 在无需复杂SOTA架构的前提下,证明高噪声下鲁棒性提升。
原文摘要 · Abstract (English)
In high-energy particle physics, collider measurements are contaminated by "pileup", overlapping soft interactions that obscure the hard-scatter signal of interest. Dedicated subtraction strategies exploit physical priors such as conservation, locality, and isolation. Inspired by this analogy, we investigate how such principles can inform image denoising by embedding physics-guided inductive biases into neural architectures. This paper is a proof of concept: rather than targeting state-of-the-art (SOTA) benchmarks, we ask whether physics-inspired priors improve robustness under strong corruption. We introduce a hierarchy of PU-inspired denoisers: a residual CNN with conservation constraints, its Gaussian-noise variants, and the Weighted Inductive Pileup-physics-inspired U-Network for Denoising (WIPUNet), which integrates these ideas into a UNet backbone. On CIFAR-10 with Gaussian noise at $σ\in\{15,25,50,75,100\}$, PU-inspired CNNs are competitive with standard baselines, while WIPUNet shows a \emph{widening margin} at higher noise. Complementary BSD500 experiments show the same trend, suggesting physics-inspired priors provide stability where purely data-driven models degrade. Our contributions are: (i) translating pileup-mitigation principles into modular inductive biases; (ii) integrating them into UNet; and (iii) demonstrating robustness gains at high noise without relying on heavy SOTA machinery.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。