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We present a novel Bayesian inference tool that uses a neural network to parameterise efficient Markov Chain Monte-Carlo (MCMC) proposals. The target distribution is first transformed into a diagonal, unit variance Gaussian by a series of…

宇宙学与河外天体物理 · 物理学 2020-06-03 Adam Moss

Diffusion MRI is the modality of choice to study alterations of white matter. In past years, various works have used diffusion MRI for automatic classification of AD. However, classification performance obtained with different approaches is…

A brain-computer interface (BCI) is a system that aims for establishing a non-muscular communication path for subjects who had suffer from a neurodegenerative disease. Many BCI systems make use of the phenomena of event-related…

计算机视觉与模式识别 · 计算机科学 2016-12-28 Jaime Fernando Delgado Saa , Mujdat Cetin

The displacement distribution of a water molecular is characterized mathematically as Gaussianity without considering potential diffusion barriers and compartments. However, this is not true in real scenario: most biological tissues are…

统计计算 · 统计学 2015-07-27 Jia Liu

The analytic inference, e.g. predictive distribution being in closed form, may be an appealing benefit for machine learning practitioners when they treat wide neural networks as Gaussian process in Bayesian setting. The realistic widths,…

无序系统与神经网络 · 物理学 2023-08-01 Chi-Ken Lu

Task functional magnetic resonance imaging (fMRI) is a type of neuroimaging data used to identify areas of the brain that activate during specific tasks or stimuli. These data are conventionally modeled using a massive univariate approach…

统计方法学 · 统计学 2022-11-04 Daniel A. Spencer , David Bolin , Amanda F. Mejia

Diffusion MRI (dMRI) is essential for studying brain microstructure, but high-resolution imaging remains challenging due to the inherent trade-offs between acquisition time and signal-to-noise ratio (SNR). Conventional methods often…

图像与视频处理 · 电气工程与系统科学 2025-05-20 Yinzhe Wu , Jiahao Huang , Fanwen Wang , Mengze Gao , Congyu Liao , Guang Yang , Kawin Setsompop

Discrete data are abundant and often arise as counts or rounded data. These data commonly exhibit complex distributional features such as zero-inflation, over-/under-dispersion, boundedness, and heaping, which render many parametric models…

统计方法学 · 统计学 2023-02-27 Daniel R. Kowal , Bohan Wu

This article presents an approach to Bayesian semiparametric inference for Gaussian multivariate response regression. We are motivated by various small and medium dimensional problems from the physical and social sciences. The statistical…

统计方法学 · 统计学 2020-06-18 Georgios Papageorgiou , Benjamin C. Marshall

Performing magnetic resonance imaging (MRI) reconstruction from under-sampled k-space data can accelerate the procedure to acquire MRI scans and reduce patients' discomfort. The reconstruction problem is usually formulated as a denoising…

图像与视频处理 · 电气工程与系统科学 2023-12-11 Tianqi Xiang , Wenjun Yue , Yiqun Lin , Jiewen Yang , Zhenkun Wang , Xiaomeng Li

This paper introduces a Bayesian framework that combines Markov chain Monte Carlo (MCMC) sampling, dimensionality reduction, and neural density estimation to efficiently handle inverse problems that (i) must be solved multiple times, and…

计算工程、金融与科学 · 计算机科学 2026-02-24 Giacomo Bottacini , Matteo Torzoni , Andrea Manzoni

Magnetic resonance imaging (MRI) is a potent diagnostic tool, but suffers from long examination times. To accelerate the process, modern MRI machines typically utilize multiple coils that acquire sub-sampled data in parallel. Data-driven…

图像与视频处理 · 电气工程与系统科学 2023-10-24 Moritz Erlacher , Martin Zach

This paper describes a novel nonparametric model for modeling diffusion MRI signals in q-space. In q-space, diffusion MRI signal is measured for a sequence of magnetic strengths (b-values) and magnetic gradient directions (b-vectors). We…

应用统计 · 统计学 2024-03-13 Arkaprava Roy , Zhou Lan , Zhengwu Zhang

Diffusion magnetic resonance imaging (dMRI) is a relatively modern technique used to study tissue microstructure in a non-invasive way. Non-Gaussian diffusion representation is related to the restricted diffusion and can provide information…

信号处理 · 电气工程与系统科学 2020-09-17 Tomasz Pieciak , Maryam Afzali , Fabian Bogusz , Aja-Fernández , Derek K. Jones

Deep learning has shown the capability to substantially accelerate MRI reconstruction while acquiring fewer measurements. Recently, diffusion models have gained burgeoning interests as a novel group of deep learning-based generative…

图像与视频处理 · 电气工程与系统科学 2023-06-27 Jiahao Huang , Angelica Aviles-Rivero , Carola-Bibiane Schönlieb , Guang Yang

A Bayesian approach to the classification problem is proposed in which random partitions play a central role. It is argued that the partitioning approach has the capacity to take advantage of a variety of large-scale spatial structures, if…

统计理论 · 数学 2007-06-13 Marc A. Coram

We investigate the performance of distributed least-mean square (LMS) algorithms for parameter estimation over sensor networks where the regression data of each node are corrupted by white measurement noise. Under this condition, we show…

系统与控制 · 计算机科学 2016-11-18 Reza Abdolee , Benoit Champagne

Recent developments in big data and analytics research have produced an abundance of large data sets that are too big to be analyzed in their entirety, due to limits on computer memory or storage capacity. To address these issues,…

统计方法学 · 统计学 2016-01-06 Alexey Miroshnikov , Erin M. Conlon

Functional magnetic resonance imaging (fMRI) enables indirect detection of brain activity changes via the blood-oxygen-level-dependent (BOLD) signal. Conventional analysis methods mainly rely on the real-valued magnitude of these signals.…

统计方法学 · 统计学 2023-10-31 Zhengxin Wang , Daniel B. Rowe , Xinyi Li , D. Andrew Brown

We propose a novel Bayesian inference framework for distributed differentially private linear regression. We consider a distributed setting where multiple parties hold parts of the data and share certain summary statistics of their portions…

机器学习 · 统计学 2023-06-08 Barış Alparslan , Sinan Yıldırım , Ş. İlker Birbil