# ADMM-DAD net: a deep unfolding network for analysis compressed sensing

arXiv: https://arxiv.org/abs/2110.06986 · HTML: https://mlsanity.com/paper/2110.06986/

## Key facts

- Cited by 8 papers in the map (data through 14 Oct 2026).
- Builds on 8 of its 25 references that are in the map.
- First posted on arXiv 13 Oct 2021.

## Builds on (most cited first, 8 of 8)

- [Adam: A Method for Stochastic Optimization](https://mlsanity.com/paper/1412.6980/) (2014)
- [Speech Commands: A Dataset for Limited-Vocabulary Speech Recognition](https://mlsanity.com/paper/1804.03209/) (2018)
- [AMP-Net: Denoising based Deep Unfolding for Compressive Image Sensing](https://mlsanity.com/paper/2004.10078/) (2020)
- [ADMM-Net: A Deep Learning Approach for Compressive Sensing MRI](https://mlsanity.com/paper/1705.06869/) (2017)
- [Deep Unfolding of a Proximal Interior Point Method for Image Restoration](https://mlsanity.com/paper/1812.04276/) (2018)
- [Compressive Sensing and Neural Networks from a Statistical Learning Perspective](https://mlsanity.com/paper/2010.15658/) (2020)
- [DeepCodec: Adaptive Sensing and Recovery via Deep Convolutional Neural Networks](https://mlsanity.com/paper/1707.03386/) (2017)
- [A Robust Deep Unfolded Network for Sparse Signal Recovery from Noisy Binary Measurements](https://mlsanity.com/paper/2010.07564/) (2020)

## Built on by (most cited first, 8 of 8)

- [Generalization Error Bounds for Iterative Recovery Algorithms Unfolded as Neural Networks](https://mlsanity.com/paper/2112.04364/) (2021)
- [DECONET: an Unfolding Network for Analysis-based Compressed Sensing with Generalization Error Bounds](https://mlsanity.com/paper/2205.07050/) (2022)
- [Learning Sparsity-Promoting Regularizers using Bilevel Optimization](https://mlsanity.com/paper/2207.08939/) (2022)
- [Generalization analysis of an unfolding network for analysis-based Compressed Sensing](https://mlsanity.com/paper/2303.05582/) (2023)
- [Unfolding ADMM for Enhanced Subspace Clustering of Hyperspectral Images](https://mlsanity.com/paper/2404.07112/) (2024)
- [Compressed Sensor Caching and Collaborative Sparse Data Recovery with Anchor Alignment](https://mlsanity.com/paper/2406.10137/) (2024)
- [Scalable Context-Preserving Model-Aware Deep Clustering for Hyperspectral Images](https://mlsanity.com/paper/2506.11377/) (2025)
- [Adversarial generalization of unfolding (model-based) networks](https://mlsanity.com/paper/2509.15370/) (2025)

## Abstract (arXiv)

In this paper, we propose a new deep unfolding neural network based on the ADMM algorithm for analysis Compressed Sensing. The proposed network jointly learns a redundant analysis operator for sparsification and reconstructs the signal of interest. We compare our proposed network with a state-of-the-art unfolded ISTA decoder, that also learns an orthogonal sparsifier. Moreover, we consider not only image, but also speech datasets as test examples. Computational experiments demonstrate that our proposed network outperforms the state-of-the-art deep unfolding network, consistently for both real-world image and speech datasets.