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

Fuente: arXiv
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Hauptverfasser: Yamac, Mehmet, Xu, Lei, Kiranyaz, Serkan, Gabbouj, Moncef
Format: Preprint
Veröffentlicht: 2026
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author Yamac, Mehmet
Xu, Lei
Kiranyaz, Serkan
Gabbouj, Moncef
author_facet Yamac, Mehmet
Xu, Lei
Kiranyaz, Serkan
Gabbouj, Moncef
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_07056
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle MTS-CSNet: Multiscale Tensor Factorization for Deep Compressive Sensing on RGB Images
Yamac, Mehmet
Xu, Lei
Kiranyaz, Serkan
Gabbouj, Moncef
Image and Video Processing
Artificial Intelligence
Computer Vision and Pattern Recognition
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.
title MTS-CSNet: Multiscale Tensor Factorization for Deep Compressive Sensing on RGB Images
topic Image and Video Processing
Artificial Intelligence
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2602.07056