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This work considers a continuous framework to characterize the population-level variability of structural connectivity. Our framework assumes the observed white matter fiber tract endpoints are driven by a latent random function defined…

Computation · Statistics 2022-07-19 William Consagra , Martin Cole , Zhengwu Zhang

The growing use of neuroimaging technologies generates a massive amount of biomedical data that exhibit high dimensionality. Tensor-based analysis of brain imaging data has been proved quite effective in exploiting their multiway nature.…

Numerical Analysis · Computer Science 2016-07-21 Christos Chatzichristos , Eleftherios Kofidis , Giannis Kopsinis , Sergios Theodoridis

As tensor-valued data become increasingly common in time series analysis, there is a growing need for flexible and interpretable models that can handle high-dimensional predictors and responses across multiple modes. We propose a unified…

Methodology · Statistics 2025-06-10 Shibo Li , Yao Zheng

We present a windowed technique to learn parsimonious time-varying autoregressive models from multivariate timeseries. This unsupervised method uncovers interpretable spatiotemporal structure in data via non-smooth and non-convex…

Machine Learning · Statistics 2020-05-21 Kameron Decker Harris , Aleksandr Aravkin , Rajesh Rao , Bingni Wen Brunton

Understanding the spatiotemporal dynamics of disease progression in relation to transcriptomic profiles provides key insights into complex conditions such as Alzheimer disease. To enable such investigations, STARmap PLUS technology offers…

Applications · Statistics 2026-04-28 Zitian Wu , Susmita Datta , Arkaprava Roy

High-dimensional tensors or multi-way data are becoming prevalent in areas such as biomedical imaging, chemometrics, networking and bibliometrics. Traditional approaches to finding lower dimensional representations of tensor data include…

Machine Learning · Statistics 2012-02-14 Genevera I. Allen

How to identify and characterize functional brain networks (BN) is fundamental to gain system-level insights into the mechanisms of brain organizational architecture. Current functional magnetic resonance (fMRI) analysis highly relies on…

Neurons and Cognition · Quantitative Biology 2022-06-28 Xiaowei Yu , Lu Zhang , Lin Zhao , Yanjun Lyu , Tianming Liu , Dajiang Zhu

The development of robust and generalisable models for encoding the spatio-temporal dynamics of human brain activity is crucial for advancing neuroscientific discoveries. However, significant individual variation in the organisation of the…

Image and Video Processing · Electrical Eng. & Systems 2024-06-12 Simon Dahan , Logan Z. J. Williams , Yourong Guo , Daniel Rueckert , Emma C. Robinson

Deep learning methods achieve remarkable predictive performance in modeling complex, large-scale data. However, assessing the quality of derived models has become increasingly challenging, as more classical statistical assumptions may no…

Machine Learning · Statistics 2026-03-02 Daniele Zambon , Cesare Alippi

A cornerstone of human statistical learning is the ability to extract temporal regularities / patterns from random sequences. Here we present a method of computing pattern time statistics with generating functions for first-order Markov…

Neurons and Cognition · Quantitative Biology 2018-06-29 Yanlong Sun , Hongbin Wang

Latent manifolds provide a compact characterization of neural population activity and of shared co-variability across brain areas. Nonetheless, existing statistical tools for extracting neural manifolds face limitations in terms of…

Neurons and Cognition · Quantitative Biology 2022-09-08 Edoardo Balzani , Jean Paul Noel , Pedro Herrero-Vidal , Dora E. Angelaki , Cristina Savin

We study the spatio-temporal prediction problem and introduce a novel point-process-based prediction algorithm. Spatio-temporal prediction is extensively studied in Machine Learning literature due to its critical real-life applications such…

Machine Learning · Statistics 2021-03-17 Oguzhan Karaahmetoglu , Suleyman S. Kozat

Spatiotemporal data is prevalent in a wide range of edge devices, such as those used in personal communication and financial transactions. Recent advancements have sparked a growing interest in integrating spatiotemporal analysis with…

Both the temporal dynamics and spatial correlations of Electroencephalogram (EEG), which contain discriminative emotion information, are essential for the emotion recognition. However, some redundant information within the EEG signals would…

Signal Processing · Electrical Eng. & Systems 2022-11-17 Zhe Wang , Yongxiong Wang , Chuanfei Hu , Zhong Yin , Yu Song

Principal Components Analysis (PCA) is a common way to study the sources of variation in a high-dimensional data set. Typically, the leading principal components are used to understand the variation in the data or to reduce the dimension of…

The study of functional brain connectivity (FC) is important for understanding the underlying mechanisms of many psychiatric disorders. Many recent analyses adopt graph convolutional networks, to study non-linear interactions between…

Neurons and Cognition · Quantitative Biology 2021-09-08 Simon Dahan , Logan Z. J. Williams , Daniel Rueckert , Emma C. Robinson

Spatio-temporal models analyze spatial structures and temporal dynamics, which makes them prone to information degeneration among space and time. Prior literature has demonstrated that over-squashing in causal attention or temporal…

Machine Learning · Computer Science 2026-03-09 Victoria Hankemeier , Malte Schilling

The location, timing, and abundance of gene expression (both mRNA and proteins) within a tissue define the molecular mechanisms of cell functions. Recent technology breakthroughs in spatial molecular profiling, including imaging-based…

Applications · Statistics 2020-12-10 Qiwei Li , Minzhe Zhang , Yang Xie , Guanghua Xiao

Non-invasive measurements of the human brain using magnetic resonance imaging (MRI) have significantly improved our understanding the brain's network organization by enabling measurement of anatomical connections between brain regions…

Applications · Statistics 2025-12-10 Keshav Motwani , Ali Shojaie , Ariel Rokem , Eardi Lila

Data-driven spatial filtering algorithms optimize scores such as the contrast between two conditions to extract oscillatory brain signal components. Most machine learning approaches for filter estimation, however, disregard within-trial…

Signal Processing · Electrical Eng. & Systems 2019-01-30 Andreas Meinel , Henrich Kolkhorst , Michael Tangermann
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