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This article focuses on the robust principal component analysis (PCA) of high-dimensional data with elliptical distributions. We investigate the PCA of the sample spatial-sign covariance matrix in both nonsparse and sparse contexts,…

统计方法学 · 统计学 2025-07-08 Ping Zhao , Hongfei Wang , Long Feng

Spatial transcriptomics studies are becoming increasingly large and commonplace, necessitating simultaneous analysis of a large number of spatially resolved variables. Correspondingly, a diverse range of methodologies have been proposed to…

定量方法 · 定量生物学 2025-09-09 James Boyle , Gregory Hamm , Eleanor Williams , Robin JG Hartman , Magnus Soderburg , Ian Henry , Michael Casey

Segmentation of Multiple Sclerosis (MS) lesions in longitudinal brain MR scans is performed for monitoring the progression of MS lesions. We hypothesize that the spatio-temporal cues in longitudinal data can aid the segmentation algorithm.…

图像与视频处理 · 电气工程与系统科学 2020-09-29 Stefan Denner , Ashkan Khakzar , Moiz Sajid , Mahdi Saleh , Ziga Spiclin , Seong Tae Kim , Nassir Navab

Most brain disorders are very heterogeneous in terms of their underlying biology and developing analysis methods to model such heterogeneity is a major challenge. A promising approach is to use probabilistic regression methods to estimate…

机器学习 · 统计学 2018-12-03 Seyed Mostafa Kia , Christian F. Beckmann , Andre F. Marquand

Recent advances in neuroscience data acquisition allow for the simultaneous recording of large populations of neurons across multiple brain areas while subjects perform complex cognitive tasks. Interpreting these data requires us to index…

神经元与认知 · 定量生物学 2020-10-27 Yu Takagi , Steven W. Kennerley , Jun-ichiro Hirayama , Laurence T. Hunt

Identifying objective neuroimaging biomarkers to forecast Alzheimer's disease (AD) progression is crucial for timely intervention. However, this task remains challenging due to the complex dysfunctions in the spatio-temporal characteristics…

Modern imaging techniques for probing brain function, including functional Magnetic Resonance Imaging, intrinsic and extrinsic contrast optical imaging, and magnetoencephalography, generate large data sets with complex content. In this…

神经元与认知 · 定量生物学 2009-11-10 P. P. Mitra , B. Pesaran

Much of the genome is expressed in the vertebrate brain, with individual genes exhibiting different spatially-varying patterns of expression. These variations are not independent, with pairs of genes exhibiting complex patterns of…

This paper investigates the modeling of an important class of degradation data, which are collected from a spatial domain over time; for example, the surface quality degradation. Like many existing time-dependent stochastic degradation…

统计方法学 · 统计学 2017-12-29 Xiao Liu , Kyongmin Yeo , Jayant Kalagnanam

In this work, we present an additive model for space-time data that splits the data into a temporally correlated component and a spatially correlated component. We model the spatially correlated portion using a time-varying Gaussian…

统计方法学 · 统计学 2017-11-13 Kristjan Greenewald , Seyoung Park , Shuheng Zhou , Alexander Giessing

The characterisation of the brain as a "connectome", in which the connections are represented by correlational values across timeseries and as summary measures derived from graph theory analyses, has been very popular in the last years.…

机器学习 · 计算机科学 2020-03-13 Tiago Azevedo , Luca Passamonti , Pietro Liò , Nicola Toschi

Statistical inference for tensors has emerged as a critical challenge in analyzing high-dimensional data in modern data science. This paper introduces a unified framework for inferring general and low-Tucker-rank linear functionals of…

统计理论 · 数学 2025-01-28 Ke Xu , Elynn Chen , Yuefeng Han

Higher-order tensor datasets arise commonly in recommendation systems, neuroimaging, and social networks. Here we develop probable methods for estimating a possibly high rank signal tensor from noisy observations. We consider a generative…

统计方法学 · 统计学 2023-04-11 Chanwoo Lee , Miaoyan Wang

Cross-subject electroencephalography (EEG) decoding remains a fundamental challenge in brain-computer interface (BCI) research due to substantial inter-subject variability and the scarcity of subject-invariant representations. This paper…

机器学习 · 计算机科学 2025-08-18 Changhong Jing , Yan Liu , Shuqiang Wang , Bruce X. B. Yu , Gong Chen , Zhejing Hu , Zhi Zhang , Yanyan Shen

In "The Organization of Behavior" (Hebb, 1949), Hebb suggested that the propagation of activity between transiently grouped neurons plays an important role in behavior. Since then, multiple studies have provided evidence supporting Hebb's…

神经元与认知 · 定量生物学 2021-05-28 Ohad Felsenstein , Moshe Abeles

The tensor-structured parametric analysis (TPA) has been recently developed for simulating and analysing stochastic behaviours of gene regulatory networks [Liao et. al., 2015]. The method employs the Fokker-Planck approximation of the…

定量方法 · 定量生物学 2019-10-08 Shuohao Liao

This paper describes a flexible framework for generalized low-rank tensor estimation problems that includes many important instances arising from applications in computational imaging, genomics, and network analysis. The proposed estimator…

统计理论 · 数学 2021-02-08 Rungang Han , Rebecca Willett , Anru R. Zhang

Neural decoding is still a challenge and hot topic in neurocomputing science. Recently, many studies have shown that brain network patterns containing rich spatial and temporal structure information, which represents the activation…

神经元与认知 · 定量生物学 2022-11-24 Chunyu Liu , Jiacai Zhang

Advanced brain imaging techniques make it possible to measure individuals' structural connectomes in large cohort studies non-invasively. The structural connectome is initially shaped by genetics and subsequently refined by the environment.…

应用统计 · 统计学 2018-06-11 Zhengwu Zhang , Genevera I. Allen , Hongtu Zhu , David Dunson

Models of misfolded proteins (MP) aim at discovering the bio-mechanical propagation properties of neurological diseases (ND) by identifying plausible associated dynamical systems. Solving these systems along the full disease trajectory is…

定量方法 · 定量生物学 2019-01-31 Sara Garbarino , Marco Lorenzi