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This paper introduces a new approach for solving electrical impedance tomography (EIT) problems using deep neural networks. The mathematical problem of EIT is to invert the electrical conductivity from the Dirichlet-to-Neumann (DtN) map.…

Computational Physics · Physics 2020-01-29 Yuwei Fan , Lexing Ying

We study, theoretically and experimentally, electromagnetically induced transparency (EIT) in two different solid-state systems. Unlike many implementations in homogeneously broadened media, these systems exhibit inhomogeneous broadening of…

This paper outlines an end-to-end optimized lossy image compression framework using diffusion generative models. The approach relies on the transform coding paradigm, where an image is mapped into a latent space for entropy coding and, from…

Image and Video Processing · Electrical Eng. & Systems 2024-01-03 Ruihan Yang , Stephan Mandt

Objective: Inclusion of individualised electrical conductivities of head tissues is crucial for the accuracy of electrical source imaging techniques based on electro/magnetoencephalography and the efficacy of transcranial electrical…

Diffusion models excel in solving imaging inverse problems due to their ability to model complex image priors. However, their reliance on large, clean datasets for training limits their practical use where clean data is scarce. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Weimin Bai , Yifei Wang , Wenzheng Chen , He Sun

A novel computational, non-iterative and noise-robust reconstruction method is introduced for the planar anisotropic inverse conductivity problem. The method is based on bypassing the unstable step of the reconstruction of the values of the…

Analysis of PDEs · Mathematics 2015-06-25 Sarah Jane Hamilton , Matti Lassas , Samuli Siltanen

In this work we propose and analyze a numerical method for electrical impedance tomography of recovering a piecewise constant conductivity from boundary voltage measurements. It is based on standard Tikhonov regularization with a…

Numerical Analysis · Mathematics 2023-10-06 Bangti Jin , Yifeng Xu

This study introduces a novel approach for image reconstruction based on a diffusion model conditioned on the native data domain. Our method is applied to multi-coil MRI and quantitative MRI reconstruction, leveraging the domain-conditioned…

Machine Learning · Computer Science 2023-09-06 Wanyu Bian , Albert Jang , Fang Liu

Generating the periodic structure of stable materials is a long-standing challenge for the material design community. This task is difficult because stable materials only exist in a low-dimensional subspace of all possible periodic…

Machine Learning · Computer Science 2022-03-15 Tian Xie , Xiang Fu , Octavian-Eugen Ganea , Regina Barzilay , Tommi Jaakkola

Text-conditional image editing is a very useful task that has recently emerged with immeasurable potential. Most current real image editing methods first need to complete the reconstruction of the image, and then editing is carried out by…

Computer Vision and Pattern Recognition · Computer Science 2023-09-27 Songyan Chen , Jiancheng Huang

Current methods for multimodal medical imaging based disease recognition face two major challenges. First, the prevailing "fusion after unimodal image embedding" paradigm cannot fully leverage the complementary and correlated information in…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Qijie Wei , Hailan Lin , Xirong Li

The Inverse Electrical Impedance Tomography (EIT) problem on recovering electrical conductivity tensor and potential in the body based on the measurement of the boundary voltages on the electrodes for a given electrode current is analyzed.…

Optimization and Control · Mathematics 2018-09-18 Ugur G. Abdulla , Vladislav Bukshtynov , Saleheh Seif

We develop a mathematical framework to analyze electrochemical impedance spectra in terms of a distribution of diffusion times (DDT) for a parallel array of random finite-length Warburg (diffusion) or Gerischer (reaction-diffusion) circuit…

Chemical Physics · Physics 2018-03-21 Juhyun Song , Martin Z. Bazant

An electrical impedance spectroscopy-based nondestructive testing (NDT) method is proposed to image both cracks and reinforcing bars in concrete structures. The method utilizes the frequency-dependent behavior of thin insulating cracks:…

Analysis of PDEs · Mathematics 2018-02-22 Habib Ammari , Jin Keun Seo , Tingting Zhang , Liangdong Zhou

Image reconstruction from computed tomography (CT) measurement is a challenging statistical inverse problem since a high-dimensional conditional distribution needs to be estimated. Based on training data obtained from high-quality…

Image and Video Processing · Electrical Eng. & Systems 2020-06-12 Alexander Denker , Maximilian Schmidt , Johannes Leuschner , Peter Maass , Jens Behrmann

Recent advances in denoising diffusion probabilistic models have shown great success in image synthesis tasks. While there are already works exploring the potential of this powerful tool in image semantic segmentation, its application in…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Xinrong Hu , Yu-Jen Chen , Tsung-Yi Ho , Yiyu Shi

Electromagnetic (EM) imaging is an important tool for non-invasive sensing with low-cost and portable devices. One emerging application is EM stroke imaging, which enables early diagnosis and continuous monitoring of brain strokes.…

Signal Processing · Electrical Eng. & Systems 2025-09-08 Rui Guo , Yi Zhang , Yhonatan Kvich , Tianyao Huang , Maokun Li , Yonina C. Eldar

Multimodal variational autoencoders have demonstrated their ability to learn the relationships between different modalities by mapping them into a latent representation. Their design and capacity to perform any-to-any conditional and…

Machine Learning · Computer Science 2025-02-04 Daniel Wesego , Pedram Rooshenas

Electrical capacitance tomography (ECT) has been investigated in many fields due to its advantages of being non-invasive and low cost. Sparse algorithms with l1-norm regularization are used to reduce the smoothing effect and obtain sharp…

Signal Processing · Electrical Eng. & Systems 2017-11-08 Jiaoxuan Chen , Maomao Zhang , Yi Li

Diffusion models have emerged as powerful generative tools with applications in computer vision and scientific machine learning (SciML), where they have been used to solve large-scale probabilistic inverse problems. Traditionally, these…

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