Learning to optimize: A tutorial for continuous and mixed-integer optimization

X Chen, J Liu, W Yin - Science China Mathematics, 2024 - Springer
Learning to optimize (L2O) stands at the intersection of traditional optimization and machine
learning, utilizing the capabilities of machine learning to enhance conventional optimization …

Theoretical perspectives on deep learning methods in inverse problems

J Scarlett, R Heckel, MRD Rodrigues… - IEEE journal on …, 2022 - ieeexplore.ieee.org
In recent years, there have been significant advances in the use of deep learning methods in
inverse problems such as denoising, compressive sensing, inpainting, and super-resolution …

Model-based robust servo control for permanent magnet synchronous motor with inequality constraint

SB Sun, SC Zhen, XL Liu, HY Zhong… - Measurement Science …, 2023 - iopscience.iop.org
Based on the dynamic model, a robust constrained control method for permanent magnet
synchronous motor (PMSM) is proposed in this paper to achieve better trajectory tracking …

Generalization and estimation error bounds for model-based neural networks

A Shultzman, E Azar, MRD Rodrigues… - arXiv preprint arXiv …, 2023 - arxiv.org
Model-based neural networks provide unparalleled performance for various tasks, such as
sparse coding and compressed sensing problems. Due to the strong connection with the …

DECONET: An unfolding network for analysis-based compressed sensing with generalization error bounds

V Kouni, Y Panagakis - IEEE Transactions on Signal …, 2023 - ieeexplore.ieee.org
We present a new deep unfolding network for analysis-sparsity-based Compressed
Sensing. The proposed network coined Decoding Network (DECONET) jointly learns a …

Optimization Guarantees of Unfolded ISTA and ADMM Networks With Smooth Soft-Thresholding

SB Shah, P Pradhan, W Pu, R Randhi… - IEEE Transactions …, 2024 - ieeexplore.ieee.org
Solving linear inverse problems plays a crucial role in numerous applications. Algorithm
unfolding based, model-aware data-driven approaches have gained significant attention for …

Unrolled denoising networks provably learn optimal Bayesian inference

A Karan, K Shah, S Chen, YC Eldar - arXiv preprint arXiv:2409.12947, 2024 - arxiv.org
Much of Bayesian inference centers around the design of estimators for inverse problems
which are optimal assuming the data comes from a known prior. But what do these optimality …

Beyond codebook-based analog beamforming at mmwave: Compressed sensing and machine learning methods

H Pezeshki, FV Massoli, A Behboodi… - … 2022-2022 IEEE …, 2022 - ieeexplore.ieee.org
Analog beamforming is the predominant approach for millimeter wave (mmWave)
communication given its favor-able characteristics for limited-resource devices. In this work …

On the simultaneous recovery of two coefficients in the Helmholtz equation for inverse scattering problems via neural networks

Z Zhou - arXiv preprint arXiv:2410.01041, 2024 - arxiv.org
Recently, deep neural networks (DNNs) have become powerful tools for solving inverse
scattering problems. However, the approximation and generalization rates of DNNs for …

[PDF][PDF] Learning to optimize: Algorithm unrolling

W Yin - CVPR Tutorial, 2022 - sparse-learning.github.io
Learning to Optimize: Algorithm Unrolling Page 1 Learning to Optimize: Algorithm Unrolling
Wotao Yin Decision Intelligence Lab, DAMO Academy Alibaba Group US CVPR Tutorial …