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We propose a new statistical observation scheme of diffusion processes named convolutional observation, where it is possible to deal with smoother observation than ordinary diffusion processes by considering convolution of diffusion…

Statistics Theory · Mathematics 2020-10-28 Shogo H Nakakita , Masayuki Uchida

Dynamic susceptibility contrast magnetic resonance imaging (DSC-MRI) is widely used to evaluate acute ischemic stroke to distinguish salvageable tissue and infarct core. For this purpose, traditional methods employ deconvolution techniques,…

Image and Video Processing · Electrical Eng. & Systems 2023-12-12 Anbo Cao , Pin-Yu Le , Zhonghui Qie , Haseeb Hassan , Yingwei Guo , Asim Zaman , Jiaxi Lu , Xueqiang Zeng , Huihui Yang , Xiaoqiang Miao , Taiyu Han , Guangtao Huang , Yan Kang , Yu Luo , Jia Guo

Immersed nonlinear elements are prevalent in biological systems that require a preferential flow direction, such as the venous and the lymphatic system. We investigate here a certain class of models where the fluid is driven by peristaltic…

Fluid Dynamics · Physics 2024-11-20 Aaron Winn , Eleni Katifori

In this paper, we propose a convolutional layer inspired by optical flow algorithms to learn motion representations. Our representation flow layer is a fully-differentiable layer designed to capture the `flow' of any representation channel…

Computer Vision and Pattern Recognition · Computer Science 2019-08-05 AJ Piergiovanni , Michael S. Ryoo

Patient flow analysis can be studied from a clinical and or operational perspective using simulation. Traditional statistical methods such as stochastic distribution methods have been used to construct patient flow simulation submodels such…

Machine Learning · Computer Science 2021-04-19 Tesfamariam M. Abuhay , Adane Mamuye , Stewart Robinson , Sergey V. Kovalchuk

Optical flow computation is essential in the early stages of the video processing pipeline. This paper focuses on a less explored problem in this area, the 360$^\circ$ optical flow estimation using deep neural networks to support…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Yiheng Li , Connelly Barnes , Kun Huang , Fang-Lue Zhang

We consider the inverse problem of estimating parameters of a driven diffusion (e.g., the underlying fluid flow, diffusion coefficient, or source terms) from point measurements of a passive scalar (e.g., the concentration of a pollutant).…

Numerical Analysis · Mathematics 2019-05-22 Jeff Borggaard , Nathan E. Glatt-Holtz , Justin A. Krometis

Particle flow (PFL) is an effective method for overcoming particle degeneracy, the main limitation of particle filtering. In PFL, particles are migrated towards regions of high likelihood based on the solution of a partial differential…

Signal Processing · Electrical Eng. & Systems 2024-12-16 Wenyu Zhang , Mohammad J. Khojasteh , Nikolay A. Atanasov , Florian Meyer

Non-invasive measurement of the arterial blood speed gives rise to important healthinformation such as cardio output and blood supplies to vital organs. The magnitude andchange in arterial blood speed are key indicators of the health…

Medical Physics · Physics 2021-10-22 Alex Ce Zhang , Yu-Hwa Lo

We develop $M$-estimation and deconvolution methodology with the goal of making well-founded statistical inference on an individual's blood alcohol level based on noisy measurements of their skin alcohol content. We first apply our results…

Applications · Statistics 2023-02-24 Maria Allayioti , Jay Bartroff , Haoxing Liu , Larry Goldstein , Susan Luczak , Gary Rosen

This survey paper provides a comprehensive review of the use of diffusion models in natural language processing (NLP). Diffusion models are a class of mathematical models that aim to capture the diffusion of information or signals across a…

Computation and Language · Computer Science 2023-06-16 Hao Zou , Zae Myung Kim , Dongyeop Kang

In most of computer vision applications, motion blur is regarded as an undesirable artifact. However, it has been shown that motion blur in an image may have practical interests in fundamental computer vision problems. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Dawit Mureja Argaw , Junsik Kim , Francois Rameau , Jae Won Cho , In So Kweon

This paper explores the use of deep learning-based computer vision for real-time monitoring of the flow in intravenous (IV) infusions. IV infusions are among the most common therapies in hospitalized patients and, given that both…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Nicola Giaquinto , Marco Scarpetta , Maurizio Spadavecchia , Gregorio Andria

This work is focussed on the inversion task of inferring the distribution over parameters of interest leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by increasing…

Machine Learning · Statistics 2026-05-06 Arnaud Vadeboncoeur , Mark Girolami , Andrew M. Stuart

In many low-to-middle income (LMIC) countries, ultrasound is used for assessment of pleural effusion. Typically, the extent of the effusion is manually measured by a sonographer, leading to significant intra-/inter-observer variability. In…

Currently, free flaps and pedicled flaps are assessed for reperfusion in post-operative care using colour, capillary refill, temperature, texture and Doppler signal (if available). While these techniques are effective, they are prone to…

Medical Physics · Physics 2022-04-18 Mark Main , Richard JJ Pilkington , Graham M Gibson , Akhil Kallepalli

We investigate efficient algorithmic realisations for robust deconvolution of grey-value images with known space-invariant point-spread function, with emphasis on 1D motion blur scenarios. The goal is to make deconvolution suitable as…

Computer Vision and Pattern Recognition · Computer Science 2017-09-22 Martin Welk , Patrik Raudaschl , Thomas Schwarzbauer , Martin Erler , Martin Läuter

Normalizing flow is a generative modeling approach with efficient sampling. However, Flow-based models suffer two issues: 1) If the target distribution is manifold, due to the unmatch between the dimensions of the latent target distribution…

Machine Learning · Computer Science 2024-04-24 Qinglong Meng , Chongkun Xia , Xueqian Wang

We revisit the method of cumulants for analysing dynamic light scattering data in particle sizing applications. Here the data, in the form of the time correlation function of scattered light, is written as a series involving the first few…

Soft Condensed Matter · Physics 2015-04-27 Alastair G. Mailer , Paul S. Clegg , Peter N. Pusey

DSC-MRI perfusion is a medical imaging technique for diagnosing and prognosing brain tumors and strokes. Its analysis relies on mathematical deconvolution, but noise or motion artifacts in a clinical environment can disrupt this process,…

Quantitative Methods · Quantitative Biology 2025-10-17 Pierre Fayolle , Alexandre Bône , Noëlie Debs , Mathieu Naudin , Pascal Bourdon , Remy Guillevin , David Helbert