Online optimisation for dynamic electrical impedance tomography

Neil Dizon, Jyrki Jauhiainen, Tuomo Valkonen
12/17/2024
math.OCcs.CV

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Abstract

Online optimisation studies the convergence of optimisation methods as the data embedded in the problem changes. Based on this idea, we propose a primal dual online method for nonlinear time-discrete inverse problems. We analyse the method through regret theory and demonstrate its performance in real-time monitoring of moving bodies in a fluid with Electrical Impedance Tomography (EIT). To do so, we also prove the second-order differentiability of the Complete Electrode Model (CEM) solution operator on $L^\infty$.

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Cite this paper

@article{dizon2024online,
  title  = {Online optimisation for dynamic electrical impedance tomography},
  author = {Neil Dizon and Jyrki Jauhiainen and Tuomo Valkonen},
  year   = {2024},
  eprint = {2412.12944},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2412.12944v2}
}

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