January 01, 2022 book-chapter Open access Aachen paper

Compressive Sensing and Neural Networks from a Statistical Learning Perspective

Applied and numerical harmonic analysis, pp. 247–277

DOI: 10.1007/978-3-031-09745-4_8 Full text (OA) OpenAlex

Authors 3

Arash Behboodi Aachen Institute for Theoretical Information Technology

RWTH Aachen University

Affiliation as printed

Institute for Theoretical Information Technology, RWTH Aachen University, Aachen, Germany
Holger Rauhut Aachen Chair for Mathematics of Information Processing

RWTH Aachen University

Affiliation as printed

Chair for Mathematics of Information Processing, RWTH Aachen University, Aachen, Germany
Ekkehard Schnoor corresponding Aachen Chair for Mathematics of Information Processing

RWTH Aachen University

Affiliation as printed

Chair for Mathematics of Information Processing, RWTH Aachen University, Aachen, Germany

Cited by 12 stored of 12

Comprehensive Review of Deep Unfolding Techniques for Next-Generation Wireless Communication Systems
2026 IEEE Internet of Things Journal article Engineering Advanced Wireless Communication Technologies

9

citations
Deep Unrolled Networks for Nonnegative Least Squares Problem: Analysis and Application
2026 IEEE Signal Processing Letters article Computer Science Stochastic Gradient Optimization Techniques

0

citations
Generalization analysis of an unfolding network for analysis-based compressed sensing
2025 Applied and Computational Harmonic Analysis article Engineering Sparse and Compressive Sensing Techniques Open access

3

citations
A Generalization Bound for a Family of Implicit Networks
2025 SSRN Electronic Journal preprint Computer Science Stochastic Gradient Optimization Techniques Open access

0

citations
The tail-normalized iterative hard thresholding algorithm for compressed sensing
2024 Chinese Control Conference (CCC) conference-paper Engineering Sparse and Compressive Sensing Techniques

0

citations
Learning to optimize: A tutorial for continuous and mixed-integer optimization
2024 Science China Mathematics article Computer Science Advanced Multi-Objective Optimization Algorithms

12

citations
Compressed Spectrum Sensing of Sparse Wideband Signals Based on Deep Learning
2024 IEEE Transactions on Vehicular Technology article Engineering Sparse and Compressive Sensing Techniques

19

citations
Optimization Guarantees of Unfolded ISTA and ADMM Networks With Smooth Soft-Thresholding
2024 IEEE Transactions on Signal Processing article Engineering Advanced MIMO Systems Optimization

14

citations
DECONET: An Unfolding Network for Analysis-Based Compressed Sensing With Generalization Error Bounds
2023 IEEE Transactions on Signal Processing article Engineering Sparse and Compressive Sensing Techniques Open access

7

citations
ADMM-DAD Net: A Deep Unfolding Network for Analysis Compressed Sensing
2022 IEEE International Conference on Acoustics Speech and Signal Processing conference-paper Engineering Sparse and Compressive Sensing Techniques Open access

16

citations
Angular Scattering Function Estimation Using Deep Neural Networks
2022 Applied and numerical harmonic analysis book-chapter Engineering Antenna Design and Optimization

0

citations
Learning to Optimize: A Primer and A Benchmark
2021 arXiv (Cornell University) preprint Computer Science Machine Learning and Data Classification Open access

89

citations

12 results

No patents citing this paper on Lens.org (checked 2026-10-06).

References 65

The Nature of Statistical Learning Theory
1995 Springer eBooks book Computer Science Machine Learning and Algorithms

39,377

citations
The Nature of Statistical Learning Theory
2000 Springer eBooks book Computer Science Neural Networks and Applications

10,806

citations
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
2004 Communications on Pure and Applied Mathematics article Mathematics Numerical methods in inverse problems

5,033

citations
On the difficulty of training Recurrent Neural Networks
2012 arXiv (Cornell University) preprint Computer Science Neural Networks and Applications Open access

3,846

citations
On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
2015 Springer eBooks book-chapter Mathematics Probability and Statistical Research

3,160

citations
Understanding Machine Learning
2014 Cambridge University Press eBooks book Computer Science Machine Learning and Algorithms

3,104

citations
Understanding Machine Learning: From Theory To Algorithms
2015 article Computer Science Machine Learning and Algorithms

2,967

citations
A Mathematical Introduction to Compressive Sensing
2013 Applied and numerical harmonic analysis book Engineering Sparse and Compressive Sensing Techniques

2,635

citations
Rademacher and Gaussian Complexities: Risk Bounds and Structural Results
2001 Lecture notes in computer science conference-paper Computer Science Machine Learning and Algorithms Open access

2,028

citations
ISTA-Net: Interpretable Optimization-Inspired Deep Network for Image Compressive Sensing
2018 IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings - IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings conference-paper Engineering Sparse and Compressive Sensing Techniques

1,331

citations
Probability in Banach Spaces: Isoperimetry and Processes
1991 article Mathematics Advanced Banach Space Theory

1,240

citations
Learning Fast Approximations of Sparse Coding
2010 article Engineering Sparse and Compressive Sensing Techniques

1,218

citations
Deep ADMM-Net for compressive sensing MRI
2016 neural information processing systems article Engineering Sparse and Compressive Sensing Techniques

932

citations
Solving inverse problems using data-driven models
2019 Acta Numerica article Mathematics Numerical methods in inverse problems Open access

695

citations
Compressed Sensing and Redundant Dictionaries
2008 IEEE Transactions on Information Theory article Engineering Sparse and Compressive Sensing Techniques Open access

560

citations
Exploring Generalization in Deep Learning
2017 neural information processing systems article Computer Science Stochastic Gradient Optimization Techniques

449

citations
Robustness and generalization
2011 Machine Learning article Computer Science Machine Learning and Algorithms Open access

389

citations
Rademacher penalties and structural risk minimization
2001 IEEE Transactions on Information Theory article Computer Science Machine Learning and Algorithms

381

citations
A deep learning approach to structured signal recovery
2015 Allerton Conference on Communication, Control, and Computing conference-paper Engineering Sparse and Compressive Sensing Techniques Open access

355

citations
Learnability, Stability and Uniform Convergence
2010 article Computer Science Machine Learning and Algorithms

308

citations