Model-Based Deep Learning
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Abstract (arXiv)
Signal processing, communications, and control have traditionally relied on classical statistical modeling techniques. Such model-based methods utilize mathematical formulations that represent the underlying physics, prior information and additional domain knowledge. Simple classical models are useful but sensitive to inaccuracies and may lead to poor performance when real systems display complex or dynamic behavior. On the other hand, purely data-driven approaches that are model-agnostic are becoming increasingly popular as datasets become abundant and the power of modern deep learning pipelines increases. Deep neural networks (DNNs) use generic architectures which learn to operate from data, and demonstrate excellent performance, especially for supervised problems. However, DNNs typically require massive amounts of data and immense computational resources, limiting their applicability for some signal processing scenarios. We are interested in hybrid techniques that combine principled mathematical models with data-driven systems to benefit from the advantages of both approaches. Such model-based deep learning methods exploit both partial domain knowledge, via mathematical structures designed for specific problems, as well as learning from limited data. In this article we survey the leading approaches for studying and designing model-based deep learning systems. We divide hybrid model-based/data-driven systems into categories based on their inference mechanism. We provide a comprehensive review of the leading approaches for combining model-based algorithms with deep learning in a systematic manner, along with concrete guidelines and detailed signal processing oriented examples from recent literature. Our aim is to facilitate the design and study of future systems on the intersection of signal processing and machine learning that incorporate the advantages of both domains.
Key facts. Cited by 141 papers in the map (data through 14 Oct 2026). First posted on arXiv 15 Dec 2020.
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Citing papers per year: 2021: 20; 2022: 27; 2023: 15; 2024: 27; 2025: 34; 2026: 18.
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50 newest of 141 All 141 (JSON)
- 2021On the convergence of group-sparse autoencoderscited by 3
- 2021On the convergence of group-sparse autoencoders13 Feb 2021
- 2022Transformers in Medical Imaging: A Surveycited by 245
- 2021Learning to Optimize: A Primer and A Benchmarkcited by 208
- 2021KalmanNet: Neural Network Aided Kalman Filtering for Partially Known Dynamicscited by 132
- 2022Toward Transparent AI: A Survey on Interpreting the Inner Structures of Deep Neural Networkscited by 129
- 2021Physics-Integrated Variational Autoencoders for Robust and Interpretable Generative Modelingcited by 59
- 2022Model-Based Deep Learning: On the Intersection of Deep Learning and Optimizationcited by 50
- 2021A Survey of Sound Source Localization with Deep Learning Methodscited by 46
- 2022Overview of Deep Learning-based CSI Feedback in Massive MIMO Systemscited by 37
- 2022Theoretical Perspectives on Deep Learning Methods in Inverse Problemscited by 22
- 2024Towards Trustworthy AI: A Review of Ethical and Robust Large Language Modelscited by 22
- 2022A Bayesian Framework for Digital Twin-Based Control, Monitoring, and Data Collection in Wireless Systemscited by 18
- 2021Unsupervised Learned Kalman Filteringcited by 17
12 most cited of 137 All 137 (JSON)
- 2026Learning to Select Features with Manifold Deep Unfolding PCA14 Oct 2026
- 2026A Scalable Learned Iterative Solver for Nonlinear MPC via Temporal Decomposition9 Oct 2026
- 2026Learning Array Signal Topologies as Conditional Neural Manifolds16 Sep 2026
- 2026A Comprehensive Survey of Wireless Foundation Models for AI-Native 6G Networks9 Aug 2026
- 2026Unscented KalmanNet: Structure-Preserving Deep Learning with Calibrated Posterior Uncertainty under Incomplete Physics and Unknown Noise4 Aug 2026
- 2026Task-Oriented Candidate-Latent Feedback for Coarse-to-Fine Sensing in Distributed OFDM-ISAC Networks4 Aug 2026
- 2026SHiPPO: Recurrent Memory with Transported Polynomial Projections3 Jul 2026
- 2026Leveraging Phase Information to Boost Unrolled Network Learning for Image Deblurring30 Jun 2026
- 2026Fast and Accurate Outlier-Aware LiDAR Super-Resolution for SLAM Applications26 Jun 2026
- 2026Learning to Distributedly Estimate under Partially Known Dynamics: A Covariance-Agnostic Neural Kalman Consensus Filter26 Jun 2026
- 2026Embedding interpretable ℓ1-regression into neural networks for uncovering temporal structure in cell imaging3 Mar 2026
- 2026MD-AirComp+: Adaptive Quantization for Blind Massive Digital Over-the-Air Computation20 Feb 2026
12 newest of 137 All 137 (JSON)