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Purpose: In the present work we describe the correction of diffusion-weighted MRI for site and scanner biases using a novel method based on invariant representation. Theory and Methods: Pooled imaging data from multiple sources are subject…

Quantitative Methods · Quantitative Biology 2020-02-04 Daniel Moyer , Greg Ver Steeg , Chantal M. W. Tax , Paul M. Thompson

Cross-term spatiotemporal encoding (xSPEN) is a recently introduced imaging approach delivering single-scan 2D NMR images with unprecedented resilience to field inhomogeneities. The method relies on performing a pre-acquisition encoding and…

Medical Physics · Physics 2017-08-25 Eddy Solomon , Gilad Liberman , Zhiyong Zhang , Lucio Frydman

The objective of this paper is to investigate a new numerical method for the approximation of the self-diffusion matrix of a tagged particle process defined on a grid. While standard numerical methods make use of long-time averages of…

Numerical Analysis · Mathematics 2023-02-27 Jad Dabaghi , Virginie Ehrlacher , Christoph Strössner

Visual attribution in medical imaging seeks to make evident the diagnostically-relevant components of a medical image, in contrast to the more common detection of diseased tissue deployed in standard machine vision pipelines (which are less…

Image and Video Processing · Electrical Eng. & Systems 2024-01-04 Ammar A. Siddiqui , Santosh Tirunagari , Tehseen Zia , David Windridge

Quantifying muscle tissue properties is crucial for understanding pathophysiological changes occurring in skeletal muscle (SM). In particular, T2 relaxation and diffusion MRI (dMRI) are promising techniques. However, typical methods measure…

White matter structures composed of myelinated axons in the living human brain are primarily studied by diffusion-weighted MRI (dMRI). These long-range projections are typically characterized in a two-step process: dMRI is used to estimate…

Neurons and Cognition · Quantitative Biology 2017-10-09 Matthew Cieslak , Tegan Brennan , Wendy Meiring , Lukas J. Volz , Clint Greene , Alexander Asturias , Subhash Suri , Scott T. Grafton

The eigenvalue statistics for complex $N \times N$ Wishart matrices $X_{r,s}^\dagger X_{r,s}$, where $ X_{r,s}$ is equal to the product of $r$ complex Gaussian matrices, and the inverse of $s$ complex Gaussian matrices, are considered. In…

Mathematical Physics · Physics 2015-06-18 Peter J. Forrester

Diffusion tensor imaging provides increased sensitivity to microstructural tissue changes compared to conventional anatomical imaging but also presents limited specificity. To tackle this problem, the DIAMOND model subdivides the voxel…

Mild traumatic brain injury is a growing public health problem with an estimated incidence of over 1.7 million people annually in US. Diagnosis is based on clinical history and symptoms, and accurate, concrete measures of injury are…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Shervin Minaee , Yao Wang , Anna Choromanska , Sohae Chung , Xiuyuan Wang , Els Fieremans , Steven Flanagan , Joseph Rath , Yvonne W Lui

Incoherent Diffraction Imaging - IDI - is a diffraction-based imaging technique that has been recently proposed to exploit the partial coherence of incoherently scattered light to retrieve structural information from the scattering centers.…

Tract-specific diffusion measures, as derived from brain diffusion MRI, have been linked to white matter tract structural integrity and neurodegeneration. As a consequence, there is a large interest in the automatic segmentation of white…

Image and Video Processing · Electrical Eng. & Systems 2019-08-28 Bo Li , Marius de Groot , Meike Vernooij , Arfan Ikram , Wiro Niessen , Esther Bron

Speech-driven 3D facial animation has been an attractive task in both academia and industry. Traditional methods mostly focus on learning a deterministic mapping from speech to animation. Recent approaches start to consider the…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Peng Chen , Xiaobao Wei , Ming Lu , Yitong Zhu , Naiming Yao , Xingyu Xiao , Hui Chen

The correlated Wishart model provides the standard benchmark when analyzing time series of any kind. Unfortunately, the real case, which is the most relevant one in applications, poses serious challenges for analytical calculations. Often…

Mathematical Physics · Physics 2018-08-08 Tim Wirtz , Mario Kieburg , Thomas Guhr

Purpose: To facilitate the implementation/validation of signal representations and models using parametric matrix-variate distributions to approximate the diffusion tensor distribution (DTD) $\mathcal{P}(\mathbf{D})$. Theory: We establish…

Computational Engineering, Finance, and Science · Computer Science 2020-05-25 A. Reymbaut

Diffusion Transformers (DiTs) are a powerful yet underexplored class of generative models compared to U-Net-based diffusion architectures. We propose TIDE-Temporal-aware sparse autoencoders for Interpretable Diffusion transformErs-a…

Computer Vision and Pattern Recognition · Computer Science 2025-08-13 Victor Shea-Jay Huang , Le Zhuo , Yi Xin , Zhaokai Wang , Fu-Yun Wang , Yuchi Wang , Renrui Zhang , Peng Gao , Hongsheng Li

Expansion of diffusion MRI (dMRI) both into the realm of strong gradients, and into accessible imaging with portable low-field devices, brings about the challenge of gradient nonlinearities. Spatial variations of the diffusion gradients…

We compute the asymptotic empirical eigenvalue distribution of the matrix $M = \bigodot_{i=1}^k \frac{1}{d_i}X^{(i)}{X^{(i)}}^\top$ where $X^{(i)}\in\mathbb{R}^{n\times d_i}$ are independent matrices with independent rows but general…

Probability · Mathematics 2026-01-14 Lucas Benigni , Ziyad Zaklani

Personalized text-to-image models allow users to generate varied styles of images (specified with a sentence) for an object (specified with a set of reference images). While remarkable results have been achieved using diffusion-based…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Fanyue Wei , Wei Zeng , Zhenyang Li , Dawei Yin , Lixin Duan , Wen Li

Learning-based Text-to-Image (TTI) models like Stable Diffusion have revolutionized the way visual content is generated in various domains. However, recent research has shown that nonnegligible social bias exists in current state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2024-02-23 Ruifei He , Chuhui Xue , Haoru Tan , Wenqing Zhang , Yingchen Yu , Song Bai , Xiaojuan Qi

Diffusion-weighted imaging (DWI) in the female breast is a magnetic resonance imaging (MRI) technique, which may potentially replace or effectively complement both x-ray mammography and contrast-enhanced MR mammography. To further improve…