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Recently, there has been increased interest in fusing multimodal imaging to better understand brain organization. Specifically, accounting for knowledge of anatomical pathways connecting brain regions should lead to desirable outcomes such…

Applications · Statistics 2018-03-02 Ixavier A. Higgins , Suprateek Kundu , Ying Guo

Tensor decomposition is an effective approach to compress over-parameterized neural networks and to enable their deployment on resource-constrained hardware platforms. However, directly applying tensor compression in the training process is…

Machine Learning · Computer Science 2019-05-28 Cole Hawkins , Zheng Zhang

Electromagnetic stimulation probes and modulates the neural systems that control movement. Key to understanding their effects is the muscle recruitment curve, which maps evoked potential size against stimulation intensity. Current methods…

We introduce a probabilistic (Bayesian) framework and associated software toolbox for mapping population receptive fields (pRFs) based on fMRI data. This generic approach is intended to work with stimuli of any dimension and is demonstrated…

Neurons and Cognition · Quantitative Biology 2018-05-21 Peter Zeidman , Edward Harry Silson , Dietrich Samuel Schwarzkopf , Chris Ian Baker , Will Penny

Motivated by the needs of selecting important features for massive neuroimaging data, we propose a spatially varying coefficient model (SVCMs) with sparsity and piecewise smoothness imposed on the coefficient functions. A new class of…

Methodology · Statistics 2015-05-01 Ran Shi , Jian Kang

Brain regions are often topographically connected: nearby locations within one brain area connect with nearby locations in another area. Mapping these connection topographies, or 'connectopies' in short, is crucial for understanding how…

Quantitative Methods · Quantitative Biology 2017-07-18 Koen V. Haak , Andre F. Marquand , Christian F. Beckmann

Task based neuroimaging tools for the study of cognitive neuroscience provide insight into understanding how the brain responds to increasing cognitive demand. Theoretical models of neural-cognitive relationships have been developed based…

Quantitative Methods · Quantitative Biology 2016-06-21 Jason Steffener , Karen Li , Syrina Alain , Johannes Frasnelli

We develop a fully Bayesian framework for function-on-scalars regression with many predictors. The functional data response is modeled nonparametrically using unknown basis functions, which produces a flexible and data-adaptive functional…

Methodology · Statistics 2018-10-25 Daniel R. Kowal , Daniel C. Bourgeois

Canonical Polyadic (CP) tensor decomposition is a fundamental technique for analyzing high-dimensional tensor data. While the Alternating Least Squares (ALS) algorithm is widely used for computing CP decomposition due to its simplicity and…

Methodology · Statistics 2025-05-30 Runshi Tang , Julien Chhor , Olga Klopp , Anru R. Zhang

Many modern datasets, from areas such as neuroimaging and geostatistics, come in the form of a random sample of tensor-valued data which can be understood as noisy observations of a smooth multidimensional random function. Most of the…

Methodology · Statistics 2023-09-18 William Consagra , Arun Venkataraman , Xing Qiu

This paper proposes a new Threshold Tensor Factor Model in Canonical Polyadic (CP) form for tensor time series. By integrating a thresholding autoregressive structure for the latent factor process into the tensor factor model in CP form,…

Methodology · Statistics 2025-11-26 Stevenson Bolivar , Rong Chen , Yuefeng Han

Understanding the dynamics of functional brain connectivity patterns using noninvasive neuroimaging techniques is an important focus in human neuroscience. Vector autoregressive (VAR) processes and Granger causality analysis (GCA) have been…

Applications · Statistics 2022-09-16 Jingjing Fan , Kevin Sitek , Bharath Chandrasekaran , Abhra Sarkar

Spatial functional data arise in many settings, such as particulate matter curves observed at monitoring stations and age population curves at each areal unit. Most existing functional regression models have limited applicability because…

Methodology · Statistics 2025-04-25 Heesang Lee , Dagun Oh , Sunhwa Choi , Jaewoo Park

Multi-task regression attempts to exploit the task similarity in order to achieve knowledge transfer across related tasks for performance improvement. The application of Gaussian process (GP) in this scenario yields the non-parametric yet…

Machine Learning · Statistics 2021-09-21 Haitao Liu , Jiaqi Ding , Xinyu Xie , Xiaomo Jiang , Yusong Zhao , Xiaofang Wang

Today, numerous web services with similar functionalities are available on the Internet. Users often evaluate the Quality of Service (QoS) to choose the best option among them. Predicting the QoS values of these web services is a…

Machine Learning · Computer Science 2024-08-30 Qu Wang , Hao Wu

Brain decoding, aiming to identify the brain states using neural activity, is important for cognitive neuroscience and neural engineering. However, existing machine learning methods for fMRI-based brain decoding either suffer from low…

Neurons and Cognition · Quantitative Biology 2022-10-13 Ziyuan Ye , Youzhi Qu , Zhichao Liang , Mo Wang , Quanying Liu

Detecting shared neural activity from functional magnetic resonance imaging (fMRI) across individuals exposed to the same stimulus can reveal synchronous brain responses, functional roles of regions, and potential clinical biomarkers.…

Applications · Statistics 2026-04-24 Spencer Wadsworth , Nabin Koirala , Nicole Landi , Ofer Harel

We propose a generative model for robust tensor factorization in the presence of both missing data and outliers. The objective is to explicitly infer the underlying low-CP-rank tensor capturing the global information and a sparse tensor…

Computer Vision and Pattern Recognition · Computer Science 2016-06-21 Qibin Zhao , Guoxu Zhou , Liqing Zhang , Andrzej Cichocki , Shun-ichi Amari

We introduce a novel longitudinal mixed model for analyzing complex multidimensional functional data, addressing challenges such as high-resolution, structural complexities, and computational demands. Our approach integrates dimension…

Methodology · Statistics 2026-02-16 Arkaprava Roy , Abhra Sarkar

Accurate diagnosis of neurological disorders is contingent upon advanced imaging modalities such as Magnetic Resonance Imaging (MRI), which commonly utilize sparse imaging techniques to reconstruct images from limited data, thus reducing…

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