English

Adaptive Sampling for Linear Sensing Systems via Langevin Dynamics

Signal Processing 2023-02-28 v1

Abstract

Adaptive or dynamic signal sampling in sensing systems can adapt subsequent sampling strategies based on acquired signals, thereby potentially improving image quality and speed. This paper proposes a Bayesian method for adaptive sampling based on greedy variance reduction and stochastic gradient Langevin dynamics (SGLD). The image priors involved can be either analytical or neural network-based. Notably, the learned image priors generalize well to out-of-distribution test cases that have different statistics than the training dataset. As a real-world validation, the method is applied to accelerate the acquisition of magnetic resonance imaging (MRI). Compared to non-adaptive sampling, the proposed method effectively improved the image quality by 2-3 dB in PSNR, and improved the restoration of subtle details.

Keywords

Cite

@article{arxiv.2302.13468,
  title  = {Adaptive Sampling for Linear Sensing Systems via Langevin Dynamics},
  author = {Guanhua Wang and Douglas C. Noll and Jeffrey A. Fessler},
  journal= {arXiv preprint arXiv:2302.13468},
  year   = {2023}
}

Comments

5 pages, 4 figures

R2 v1 2026-06-28T08:50:04.534Z