arXiv:2602.07056eess.IVcs.AI2026-02

用多尺度张量分解实现高效图像压缩感知,重建效果超前且推理更快。

MTS-CSNet: Multiscale Tensor Factorization for Deep Compressive Sensing on RGB Images

  • 引入多尺度张量求和结构,扩展感受野并建模跨维度相关性
  • 在标准基准上实现最高重建精度,PSNR显著提升且推理速度更快
  • 无需迭代优化,轻量级前馈架构适合实际部署

基于深度学习的压缩感知(CS)方法通常使用卷积或块状全连接层学习采样算子,受限于感受野且难以处理高维数据。本文提出MTS-CSNet,一种基于多尺度张量求和(MTS)分解的结构化算子,用于高效多维信号处理。MTS通过模式维度上的线性变换与多尺度求和,实现大感受野并有效建模跨维度相关性。在MTS-CSNet中,MTS首先作为可学习的采样算子,在张量空间执行线性降维,其伴随算子定义初始反投影;随后在重建阶段直接用于精炼估计。该设计带来无需迭代或近端优化的简单前馈结构,同时保持参数与计算效率。在标准压缩感知基准测试中,MTS-CSNet在RGB图像上达到业界领先重建性能,相比近期扩散模型方法仍具显著PSNR提升与更快推理速度,且模型规模更紧凑。

原文摘要 · Abstract (English)

Deep learning based compressive sensing (CS) methods typically learn sampling operators using convolutional or block wise fully connected layers, which limit receptive fields and scale poorly for high dimensional data. We propose MTSCSNet, a CS framework based on Multiscale Tensor Summation (MTS) factorization, a structured operator for efficient multidimensional signal processing. MTS performs mode-wise linear transformations with multiscale summation, enabling large receptive fields and effective modeling of cross-dimensional correlations. In MTSCSNet, MTS is first used as a learnable CS operator that performs linear dimensionality reduction in tensor space, with its adjoint defining the initial back-projection, and is then applied in the reconstruction stage to directly refine this estimate. This results in a simple feed-forward architecture without iterative or proximal optimization, while remaining parameter and computation efficient. Experiments on standard CS benchmarks show that MTSCSNet achieves state-of-the-art reconstruction performance on RGB images, with notable PSNR gains and faster inference, even compared to recent diffusion-based CS methods, while using a significantly more compact feed-forward architecture.

压缩感知张量分解图像重建前馈网络

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