arXiv:2606.03666cs.CV2026-06中稿 · CVPR

提出多假设协作网络,让图像压缩感知生成多个合理解。

Beyond Single Solution: Multi-Hypothesis Collaborative Deep Unfolding Network for Image Compressive Sensing

论文配图:Beyond Single Solution: Multi-Hypothesis Collaborative Deep Unfolding Network for Image Compressive Sensing
图 1 · 摘自论文原文
  • 用多解协同框架,动态调整各解的更新步长。
  • 联合优化多个候选解,提升重建精度与多样性。
  • 适合需要多可信结果的医学或遥感图像应用。

近年来,深度展开网络(DUNs)通过融合迭代优化与深度学习架构,推动了压缩感知(CS)的发展。然而,大多数方法仅聚焦于单一解空间,忽视了CS问题固有的病态性——即存在多个合理的候选解。本文提出一种新型多假设协作深度展开压缩感知网络(MHC-DUN),显式建模并利用多个假设,通过联合优化不同解空间实现性能提升。具体而言,在近端梯度下降算法基础上,MHC-DUN在多假设框架下同时执行梯度下降与近端映射:其一,引入设计精良的AlphaNet,动态预测各假设的空间变化步长,实现多解间的协同更新;其二,设计复杂的多假设协作近端映射模块,利用同假设内及跨假设的相关性先验,联合优化多个解。为支持端到端训练,构建了复合损失函数,平衡测量保真度、假设多样性与重建准确率,鼓励探索互补解的同时保持重建质量。实验表明,所提方法优于现有压缩感知网络。

原文摘要 · Abstract (English)

Recent deep unfolding networks (DUNs) have advanced Compressive Sensing (CS) by effectively integrating iterative optimization with deep learning architectures. However, most CS approaches predominantly confine their inference to a single solution space, neglecting the inherent ill-posedness of CS problems that intrinsically permits multiple plausible candidate hypotheses. In this paper, a novel Multi-Hypothesis Collaborative Deep Unfolding CS Network (MHC-DUN) is proposed, which explicitly models and leverages multiple hypotheses by jointly optimizing across diverse solution spaces. Specifically, following the Proximal Gradient Descent algorithm, MHC-DUN jointly performs gradient descent and proximal mapping within this multi-hypothesis paradigm. i) For gradient descent, a well-designed AlphaNet is introduced to dynamically predict spatially varying step sizes for all hypotheses, enabling collaborative gradient updates across multiple solutions. ii) For proximal operator, a sophisticated multi-hypothesis collaborative proximal mapping module is designed, which leverages both intra-hypothesis and inter-hypothesis correlation priors to jointly refine multiple solutions. To enable end-to-end training, a novel composite loss function is designed, which balances measurement fidelity, hypothesis diversity, and reconstruction accuracy, encouraging exploration of complementary solutions while maintaining reconstruction fidelity. Experimental results reveal that the proposed CS method outperforms existing CS networks.

压缩感知多解生成深度展开图像重建

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