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We apply optimum experimental design (OED) to organic semiconductors modeled by the extended Gaussian disorder model (EGDM) which was developed by Pasveer et al. We present an extended Gummel method to decouple the corresponding system of…

Mathematical Physics · Physics 2015-06-12 Christoph Karl Felix Weiler , Stefan Körkel

This paper presents a deep learning method for faster magnetic resonance imaging (MRI) by reducing k-space data with sub-Nyquist sampling strategies and provides a rationale for why the proposed approach works well. Uniform subsampling is…

Machine Learning · Statistics 2019-05-14 Chang Min Hyun , Hwa Pyung Kim , Sung Min Lee , Sungchul Lee , Jin Keun Seo

Optimal experimental design (OED) concerns itself with identifying ideal methods of data collection, e.g.~via sensor placement. The \emph{greedy algorithm}, that is, placing one sensor at a time, in an iteratively optimal manner, stands as…

Optimization and Control · Mathematics 2025-10-15 Christian Aarset

Conventional clinical CMR pipelines rely on a sequential "reconstruct-then-analyze" paradigm, forcing an ill-posed intermediate step that introduces avoidable artifacts and information bottlenecks. This creates a fundamental mathematical…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Yundi Zhang , Sevgi Gokce Kafali , Niklas Bubeck , Daniel Rueckert , Jiazhen Pan

Diffusion model-based approaches recently achieved re-markable success in MRI reconstruction, but integration into clinical routine remains challenging due to its time-consuming convergence. This phenomenon is partic-ularly notable when…

Image and Video Processing · Electrical Eng. & Systems 2024-11-07 Yu Guan , Qinrong Cai , Wei Li , Qiuyun Fan , Dong Liang , Qiegen Liu

Optimal experimental design provides a way of determining a-priori the best locations at which to place accelerometers in vibrations analysis experiments. However, in practice, sensors often fail during experimentation due high mechanical…

Computational Engineering, Finance, and Science · Computer Science 2026-04-17 Rebekah White , Chandler Smith , Drew Kouri , Jace Ritchie , Wilkins Aquino , Timothy Walsh

Magnetic resonance imaging (MRI) is known to be a slow imaging modality and undersampling in k-space has been used to increase the imaging speed. However, image reconstruction from undersampled k-space data is an ill-posed inverse problem.…

Image and Video Processing · Electrical Eng. & Systems 2019-08-08 Jing Cheng , Haifeng Wang , Leslie Ying , Dong Liang

We present a novel stochastic approach to binary optimization for optimal experimental design (OED) for Bayesian inverse problems governed by mathematical models such as partial differential equations. The OED utility function, namely, the…

Optimization and Control · Mathematics 2022-06-28 Ahmed Attia , Sven Leyffer , Todd Munson

We consider robust optimal experimental design (ROED) for nonlinear Bayesian inverse problems governed by partial differential equations (PDEs). An optimal design is one that maximizes some utility quantifying the quality of the solution of…

Numerical Analysis · Mathematics 2026-05-01 Abhijit Chowdhary , Ahmed Attia , Alen Alexanderian

Magnetic Resonance Imaging (MRI) scans are time consuming and precarious, since the patients remain still in a confined space for extended periods of time. To reduce scanning time, some experts have experimented with undersampled k spaces,…

Image and Video Processing · Electrical Eng. & Systems 2022-08-25 Kyler Larsen , Arghya Pal , Yogesh Rathi

This paper considers the problem of undersampled MRI reconstruction. We propose a novel Transformer-based framework for directly processing signal in k-space, going beyond the limitation of regular grids as ConvNets do. We adopt an implicit…

Image and Video Processing · Electrical Eng. & Systems 2022-11-11 Ziheng Zhao , Tianjiao Zhang , Weidi Xie , Yanfeng Wang , Ya Zhang

As the deep learning revolution marches on, masked modeling has emerged as a distinctive approach that involves predicting parts of the original data that are proportionally masked during training, and has demonstrated exceptional…

Image and Video Processing · Electrical Eng. & Systems 2025-06-25 Qinrong Cai , Yu Guan , Zhibo Chen , Dong Liang , Qiuyun Fan , Qiegen Liu

We introduce Neural Optimal Design of Experiments, a learning-based framework for optimal experimental design in inverse problems that avoids classical bilevel optimization and indirect sparsity regularization. NODE jointly trains a neural…

Machine Learning · Computer Science 2026-01-08 John E. Darges , Babak Maboudi Afkham , Matthias Chung

MRI systems are traditionally engineered to produce close to idealized performance, enabling a simplified pulse sequence design philosophy. An example of this is control of eddy currents produced by gradient fields; usually these are…

Acquiring fully-sampled MRI $k$-space data is time-consuming, and collecting accelerated data can reduce the acquisition time. Employing 2D Cartesian-rectilinear subsampling schemes is a conventional approach for accelerated acquisitions;…

Image and Video Processing · Electrical Eng. & Systems 2023-08-11 George Yiasemis , Clara I. Sánchez , Jan-Jakob Sonke , Jonas Teuwen

Recent work has established learned k-space acquisition patterns as a promising direction for improving reconstruction quality in accelerated Magnetic Resonance Imaging (MRI). Despite encouraging results, most existing research focuses on…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Mohammed Wattad , Tamir Shor , Alex Bronstein

The prevailing deep learning-based methods of predicting cardiac segmentation involve reconstructed magnetic resonance (MR) images. The heavy dependency of segmentation approaches on image quality significantly limits the acceleration rate…

Image and Video Processing · Electrical Eng. & Systems 2025-07-03 Yundi Zhang , Nil Stolt-Ansó , Jiazhen Pan , Wenqi Huang , Kerstin Hammernik , Daniel Rueckert

Masked autoencoders (MAE) have shown great promise in medical image classification. However, the random masking strategy employed by traditional MAEs may overlook critical areas in medical images, where even subtle changes can indicate…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Joao Batista Florindo , Viviane de Moura

Computational optical imaging (COI) systems have enabled the acquisition of high-dimensional signals through optical coding elements (OCEs). OCEs encode the high-dimensional signal in one or more snapshots, which are subsequently decoded…

Computer Vision and Pattern Recognition · Computer Science 2024-06-27 Leon Suarez-Rodriguez , Roman Jacome , Henry Arguello

Deep learning approaches to accelerated MRI take a matrix of sampled Fourier-space lines as input and produce a spatial image as output. In this work we show that by careful choice of the offset used in the sampling procedure, the…

Image and Video Processing · Electrical Eng. & Systems 2020-02-05 Aaron Defazio