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Task-specific functional MRI (fMRI) images provide excellent modalities for studying the neuronal basis of cognitive processes. We use fMRI data to formulate and solve the problem of deconvolving task-specific aggregate neuronal networks…

Neurons and Cognition · Quantitative Biology 2024-07-04 Yifan Wang , Vikram Ravindra , Ananth Grama

In this paper, we introduce a method for multivariate function approximation using function evaluations, Chebyshev polynomials, and tensor-based compression techniques via the Tucker format. We develop novel randomized techniques to…

Numerical Analysis · Mathematics 2021-07-29 Arvind K. Saibaba , Rachel Minster , Misha E. Kilmer

We propose a novel denoising framework for task functional Magnetic Resonance Imaging (tfMRI) data to delineate the high-resolution spatial pattern of the brain functional connectivity via dictionary learning and sparse coding (DLSC). In…

Machine Learning · Computer Science 2017-07-24 Seongah Jeong , Xiang Li , Jiarui Yang , Quanzheng Li , Vahid Tarokh

Functional magnetic resonance imaging (fMRI) is widely used for studying and diagnosing brain disorders, with functional connectivity (FC) matrices providing powerful representations of large-scale neural interactions. However, existing…

Tissues and Organs · Quantitative Biology 2026-04-17 Qianyu Chen , Shujian Yu

Tensor decomposition has been widely used in machine learning and high-volume data analysis. However, large-scale tensor factorization often consumes huge memory and computing cost. Meanwhile, modernized computing hardware such as tensor…

Optimization and Control · Mathematics 2022-09-12 Zi Yang , Junnan Shan , Zheng Zhang

Multi-modality image fusion aims at fusing modality-specific (complementarity) and modality-shared (correlation) information from multiple source images. To tackle the problem of the neglect of inter-feature relationships, high-frequency…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Xiaoli Zhang , Liying Wang , Libo Zhao , Xiongfei Li , Siwei Ma

Purpose: Functional Magnetic Resonance Imaging (fMRI) data acquired through resting-state studies have been used to obtain information about the spontaneous activations inside the brain. One of the approaches for analysis and interpretation…

Image and Video Processing · Electrical Eng. & Systems 2022-02-24 Harshit Parmar , Brian Nutter , Rodney Long , Sameer Antani , Sunanda Mitra

In recent years, analyzing task-based fMRI (tfMRI) data has become an essential tool for understanding brain function and networks. However, due to the sheer size of tfMRI data, its intrinsic complex structure, and lack of ground truth of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-06 Milad Makkie , Heng Huang , Yu Zhao , Athanasios V. Vasilakos , Tianming Liu

Tensor decomposition is a powerful computational tool for multiway data analysis. Many popular tensor decomposition approaches---such as the Tucker decomposition and CANDECOMP/PARAFAC (CP)---amount to multi-linear factorization. They are…

Machine Learning · Computer Science 2012-01-17 Zenglin Xu , Feng Yan , Yuan , Qi

Tensor completion refers to the task of estimating the missing data from an incomplete measurement or observation, which is a core problem frequently arising from the areas of big data analysis, computer vision, and network engineering. Due…

Machine Learning · Computer Science 2021-05-21 Chenjian Pan , Chen Ling , Hongjin He , Liqun Qi , Yanwei Xu

CANDECOMP/PARAFAC (CP) decomposition has been widely used to deal with multi-way data. For real-time or large-scale tensors, based on the ideas of randomized-sampling CP decomposition algorithm and online CP decomposition algorithm, a novel…

Machine Learning · Computer Science 2020-07-22 Congbo Ma , Xiaowei Yang , Hu Wang

Multi-modal MRIs are widely used in neuroimaging applications since different MR sequences provide complementary information about brain structures. Recent works have suggested that multi-modal deep learning analysis can benefit from…

Computer Vision and Pattern Recognition · Computer Science 2021-06-14 Jiahong Ouyang , Ehsan Adeli , Kilian M. Pohl , Qingyu Zhao , Greg Zaharchuk

Medical images play an important role in clinical applications. Multimodal medical images could provide rich information about patients for physicians to diagnose. The image fusion technique is able to synthesize complementary information…

Computer Vision and Pattern Recognition · Computer Science 2022-12-12 Meng Zhou , Xiaolan Xu , Yuxuan Zhang

Task-adapted compressed sensing magnetic resonance imaging (CS-MRI) is emerging to address the specific demands of downstream clinical tasks with significantly fewer k-space measurements than required by Nyquist sampling. However, existing…

Machine Learning · Computer Science 2026-04-15 Xinyu Peng , Ziyang Zheng , Wenrui Dai , Duoduo Xue , Shaohui Li , Chenglin Li , Junni Zou , Hongkai Xiong

Tensor decomposition plays a key role in identifying common features across a collection of matrices in many areas of science. A fundamental need in big data research is to process data tabulated as large-scale matrices using eigenvectors.…

Computational Engineering, Finance, and Science · Computer Science 2016-05-24 HyungSeon Oh

The widespread use of multisensor technology and the emergence of big data sets have brought the necessity to develop more versatile tools to represent higher-order data with multiple aspects and high dimensionality. Data in the form of…

Signal Processing · Electrical Eng. & Systems 2018-06-27 Ali Zare , Alp Ozdemir , Mark A. Iwen , Selin Aviyente

In this paper, we introduce a novel network that generates semantic, instance, and part segmentation using a shared encoder and effectively fuses them to achieve panoptic-part segmentation. Unifying these three segmentation problems allows…

Computer Vision and Pattern Recognition · Computer Science 2022-12-20 Sravan Kumar Jagadeesh , René Schuster , Didier Stricker

Effective modeling of heterogeneous subpopulations presents a significant challenge due to variations in individual characteristics and behaviors. This paper proposes a novel approach to address this issue through multi-task learning (MTL)…

Machine Learning · Computer Science 2025-08-22 Elif Konyar , Mostafa Reisi Gahrooei , Kamran Paynabar

Tensor decomposition has been extensively used as a tool for exploratory analysis. Motivated by neuroscience applications, we study tensor decomposition with Boolean factors. The resulting optimization problem is challenging due to the…

Machine Learning · Computer Science 2020-11-13 Sung-En Chang , Xun Zheng , Ian E. H. Yen , Pradeep Ravikumar , Rose Yu

We tackle the challenge of estimating grouping structures and factor loadings in asset pricing models, where traditional regressions struggle due to sparse data and high noise. Existing approaches, such as those using fused penalties and…

Methodology · Statistics 2025-12-30 Liyuan Cui , Guanhao Feng , Yuefeng Han , Jiayan Li
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