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Tensor-valued data arise naturally in neuroimaging, genomics, climate science, and spatiotemporal networks, where multilinear dependencies across modes carry information that is destroyed under vectorization. Existing approaches either…

Machine Learning · Statistics 2026-05-20 Elynn Chen , Jiayu Li , Zheshi Zheng , Jian Pei

With the increasing availability of various sensor technologies, we now have access to large amounts of multi-block (also called multi-set, multi-relational, or multi-view) data that need to be jointly analyzed to explore their latent…

Computational Engineering, Finance, and Science · Computer Science 2015-09-01 Guoxu Zhou , Qibin Zhao , Yu Zhang , Tülay Adalı , Shengli Xie , Andrzej Cichocki

We consider the estimation and inference of graphical models that characterize the dependency structure of high-dimensional tensor-valued data. To facilitate the estimation of the precision matrix corresponding to each way of the tensor, we…

Machine Learning · Statistics 2019-02-27 Xiang Lyu , Will Wei Sun , Zhaoran Wang , Han Liu , Jian Yang , Guang Cheng

Discovering components that are shared in multiple datasets, next to dataset-specific features, has great potential for studying the relationships between different subjects or tasks in functional Magnetic Resonance Imaging (fMRI) data.…

We propose a framework for the linear prediction of a multi-way array (i.e., a tensor) from another multi-way array of arbitrary dimension, using the contracted tensor product. This framework generalizes several existing approaches,…

Methodology · Statistics 2018-10-18 Eric F. Lock

In recent years, Deep Learning has been successfully applied to multimodal learning problems, with the aim of learning useful joint representations in data fusion applications. When the available modalities consist of time series data such…

Computer Vision and Pattern Recognition · Computer Science 2017-04-12 Xitong Yang , Palghat Ramesh , Radha Chitta , Sriganesh Madhvanath , Edgar A. Bernal , Jiebo Luo

Aggregating multi-subject functional magnetic resonance imaging (fMRI) data is indispensable for generating valid and general inferences from patterns distributed across human brains. The disparities in anatomical structures and functional…

Machine Learning · Computer Science 2019-11-20 Weida Li , Mingxia Liu , Fang Chen , Daoqiang Zhang

Normative aging trends of the brain can serve as an important reference in the assessment of neurological structural disorders. Such models are typically developed from longitudinal brain image data -- follow-up data of the same subject…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 Alphin J Thottupattu , Jayanthi Sivaswamy , Venkateswaran P. Krishnan

Encoding models are used for predicting brain activity in response to sensory stimuli with the objective of elucidating how sensory information is represented in the brain. Encoding models typically comprise a nonlinear transformation of…

Neurons and Cognition · Quantitative Biology 2017-03-13 Umut Güçlü , Marcel A. J. van Gerven

Dynamic networks have been increasingly used to characterize brain connectivity that varies during resting and task states. In such characterizations, a connectivity network is typically measured at each time point for a subject over a…

Methodology · Statistics 2023-03-23 Maoyu Zhang , Biao Cai , Wenlin Dai , Dehan Kong , Hongyu Zhao , Jingfei Zhang

Spatiotemporal data is very common in many applications, such as manufacturing systems and transportation systems. It is typically difficult to be accurately predicted given intrinsic complex spatial and temporal correlations. Most of the…

Machine Learning · Computer Science 2020-04-24 Ziyue Li , Hao Yan , Chen Zhang , Fugee Tsung

Recent advances in deep learning have had a methodological and practical impact on brain-computer interface research. Among the various deep network architectures, convolutional neural networks have been well suited for…

Signal Processing · Electrical Eng. & Systems 2020-03-06 Wonjun Ko , Eunjin Jeon , Seungwoo Jeong , Heung-Il Suk

Cognitive brain imaging is accumulating datasets about the neural substrate of many different mental processes. Yet, most studies are based on few subjects and have low statistical power. Analyzing data across studies could bring more…

Machine Learning · Statistics 2021-05-20 Arthur Mensch , Julien Mairal , Bertrand Thirion , Gaël Varoquaux

Data-driven constitutive modeling frameworks based on neural networks and classical representation theorems have recently gained considerable attention due to their ability to easily incorporate constitutive constraints and their excellent…

Soft Condensed Matter · Physics 2023-08-23 Jan N. Fuhg , Nikolaos Bouklas , Reese E. Jones

Data increasingly take the form of a multi-way array, or tensor, in several biomedical domains. Such tensors are often incompletely observed. For example, we are motivated by longitudinal microbiome studies in which several timepoints are…

Methodology · Statistics 2024-11-01 Ziren Jiang , Gen Li , Eric F. Lock

With the increasing availability of diverse data types, particularly images and time series data from medical experiments, there is a growing demand for techniques designed to combine various modalities of data effectively. Our motivation…

Image and Video Processing · Electrical Eng. & Systems 2024-05-27 Ali Rasekh , Reza Heidari , Amir Hosein Haji Mohammad Rezaie , Parsa Sharifi Sedeh , Zahra Ahmadi , Prasenjit Mitra , Wolfgang Nejdl

Continual learning (CL) has spurred the development of several methods aimed at consolidating previous knowledge across sequential learning. Yet, the evaluations of these methods have primarily focused on the final output, such as changes…

Machine Learning · Computer Science 2024-08-20 Nishant Suresh Aswani , Amira Guesmi , Muhammad Abdullah Hanif , Muhammad Shafique

We present a Bayesian approach for modeling multivariate, dependent functional data. To account for the three dominant structural features in the data--functional, time dependent, and multivariate components--we extend hierarchical dynamic…

Methodology · Statistics 2019-07-02 Daniel R. Kowal , David S. Matteson , David Ruppert

Multimodal neuroimaging modeling has becomes a widely used approach but confronts considerable challenges due to heterogeneity, which encompasses variability in data types, scales, and formats across modalities. This variability…

Neurons and Cognition · Quantitative Biology 2025-04-15 Gang Qu , Ziyu Zhou , Vince D. Calhoun , Aiying Zhang , Yu-Ping Wang

In this paper, we develop an analytical approach for estimating brain connectivity networks that accounts for subject heterogeneity. More specifically, we consider a novel extension of a multi-subject Bayesian vector autoregressive model…

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