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We applied Bayesian Optimal Experimental Design (OED) in the estimation of parameters involved in the Equilibrium Dispersive Model for chromatography with two components with the Langmuir adsorption isotherm. The coefficients estimated were…

Applications · Statistics 2024-10-08 Jose Rodrigo Rojo-Garcia , Heikki Haario , Tapio Helin , Tuomo Sainio

Computational models of biophysical tissue properties have been widely used in diffusion MRI (dMRI) research to elucidate the link between microstructural properties and MR signal formation. For brain tissue, the research community has…

Medical Physics · Physics 2019-07-16 Santiago Coelho , Jose M. Pozo , Sune N. Jespersen , Alejandro F. Frangi

Compressed sensing applied to magnetic resonance imaging (MRI) allows to reduce the scanning time by enabling images to be reconstructed from highly undersampled data. In this paper, we tackle the problem of designing a sampling mask for an…

Image and Video Processing · Electrical Eng. & Systems 2020-03-17 Thomas Sanchez , Baran Gözcü , Ruud B. van Heeswijk , Armin Eftekhari , Efe Ilıcak , Tolga Çukur , Volkan Cevher

Cardiovascular MRI (CMR) is a non-invasive imaging modality that provides excellent soft-tissue contrast without the use of ionizing radiation. Physiological motions and limited speed of MRI data acquisition necessitate development of…

Image and Video Processing · Electrical Eng. & Systems 2020-08-13 Chong Chen , Yingmin Liu , Philip Schniter , Matthew Tong , Karolina Zareba , Orlando Simonetti , Lee Potter , Rizwan Ahmad

Multi-contrast Magnetic Resonance Imaging (MRI) acquisitions from a single scan have tremendous potential to streamline exams and reduce imaging time. However, maintaining clinically feasible scan time necessitates significant…

Image and Video Processing · Electrical Eng. & Systems 2021-03-09 Ke Wang , Enhao Gong , Yuxin Zhang , Suchadrima Banerjee , Greg Zaharchuk , John Pauly

Optimal experimental design (OED) provides a systematic approach to quantify and maximize the value of experimental data. Under a Bayesian approach, conventional OED maximizes the expected information gain (EIG) on model parameters.…

Computation · Statistics 2026-04-08 Shijie Zhong , Wanggang Shen , Tommie Catanach , Xun Huan

There is much recent interest in techniques to accelerate the data acquisition process in MRI by acquiring limited measurements. Often sophisticated reconstruction algorithms are deployed to maintain high image quality in such settings. In…

Image and Video Processing · Electrical Eng. & Systems 2022-05-20 Zhishen Huang , Saiprasad Ravishankar

Accelerating the acquisition of magnetic resonance imaging (MRI) is a challenging problem, and many works have been proposed to reconstruct images from undersampled k-space data. However, if the main purpose is to extract certain…

Image and Video Processing · Electrical Eng. & Systems 2019-08-22 Chen Qin , Wenjia Bai , Jo Schlemper , Steffen E. Petersen , Stefan K. Piechnik , Stefan Neubauer , Daniel Rueckert

The Spreading Projection Algorithm for Rapid K-space samplING, or SPARKLING, is an optimization-driven method that has been recently introduced for accelerated 2D T2*-w MRI using compressed sensing. It has then been extended to address 3D…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-26 Chaithya G R , Pierre Weiss , Guillaume Daval-Frérot , Aurélien Massire , Alexandre Vignaud , Philippe Ciuciu

An efficient computational approach for optimal reconstruction of binary-type images suitable for models in various applications including biomedical imaging is developed and validated. The methodology includes derivative-free optimization…

Optimization and Control · Mathematics 2022-09-27 Paul R. Arbic , Vladislav Bukshtynov

In many applied optimization settings, parameters that define the constraints may not guarantee the best possible solution, and superior solutions might exist that are infeasible for the given parameter values. Removing such constraints,…

Optimization and Control · Mathematics 2024-07-22 Farzin Ahmadi , Todd R. McNutt , Kimia Ghobadi

This paper tackles optimal sensor placement for Bayesian linear inverse problems, a popular version of the more general Optimal Experimental Design (OED) problem, using the D-optimality criterion. This is done by establishing connections…

Numerical Analysis · Mathematics 2025-04-07 Srinivas Eswar , Vishwas Rao , Arvind K. Saibaba

Undersampled MR image recovery has been widely studied for accelerated MR acquisition. However, it has been mostly studied under a single sequence scenario, despite the fact that multi-sequence MR scan is common in practice. In this paper,…

Image and Video Processing · Electrical Eng. & Systems 2019-08-19 Cheng Peng , Wei-An Lin , Rama Chellappa , S. Kevin Zhou

This paper presents a practical application of the concept of Optimal Experiment Design (OED) for the determination of properties of porous materials with in-situ measurements and an identification method. First, an experimental set-up was…

Optimization and Control · Mathematics 2020-02-20 Julien Berger , Thomas Busser , Denys Dutykh , Nathan Mendes

Purpose: To assess whether breast lesion segmentation can be learned directly from acquired MRI k-space, and whether doing so improves robustness when data are accelerated or noisy. Materials and Methods: This retrospective study used…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Lukas T. Rotkopf , Marco Schlimbach , Julius C. Holzschuh , Heinz-Peter Schlemmer , Jens Kleesiek , Moritz Rempe

Decreasing magnetic resonance (MR) image acquisition times can potentially make MR examinations more accessible. Prior arts including the deep learning models have been devoted to solving the problem of long MRI imaging time. Recently, deep…

Image and Video Processing · Electrical Eng. & Systems 2022-08-23 Zongjiang Tu , Chen Jiang , Yu Guan , Shanshan Wang , Jijun Liu , Qiegen Liu , Dong Liang

There has been much recent interest in adapting undersampled trajectories in MRI based on training data. In this work, we propose a novel patient-adaptive MRI sampling algorithm based on grouping scans within a training set. Scan-adaptive…

Image and Video Processing · Electrical Eng. & Systems 2026-02-26 Siddhant Gautam , Angqi Li , Saiprasad Ravishankar

Physics-based 0D reduced-order models provide computationally lightweight predictions of cardiovascular flows, resolving bulk hemodynamics in fractions of a second that would take days to solve using traditional 3D finite-element…

Computational Engineering, Finance, and Science · Computer Science 2026-04-03 Natalia L. Rubio , Eric F. Darve , Alison L. Marsden

We study the Regularized A-optimal Design (RAOD) problem, which selects a subset of $k$ experiments to minimize the inverse of the Fisher information matrix, regularized with a scaled identity matrix. RAOD has broad applications in Bayesian…

Optimization and Control · Mathematics 2025-05-22 Yongchun Li

Efficient and accurate estimation of multivariate empirical probability distributions is fundamental to the calculation of information-theoretic measures such as mutual information and transfer entropy. Common techniques include variations…

Information Theory · Computer Science 2023-03-23 Z. Keskin
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