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Recently, there has been a trend to combine independent component analysis and canonical polyadic decomposition (ICA-CPD) for an enhanced robustness for the computation of CPD, and ICA-CPD could be further converted into CPD of a 5th-order…

Machine Learning · Statistics 2016-12-30 Xiao-Feng Gong , Cheng-Yuan Wang , Ya-Na Hao , Qiu-Hua Lin

We consider tensor data completion of an incomplete observation of multidimensional harmonic (MH) signals. Unlike existing tensor-based techniques for MH retrieval (MHR), which mostly adopt the canonical polyadic decomposition (CPD) to…

Signal Processing · Electrical Eng. & Systems 2025-01-28 Lei Wang , Xiao-Feng Gong , Xi-Yuan Liu , Wei Feng , Qiu-Hua Lin

Performance tuning, software/hardware co-design, and job scheduling are among the many tasks that rely on models to predict application performance. We propose and evaluate low-rank tensor decomposition for modeling application performance.…

Performance · Computer Science 2023-08-30 Edward Hutter , Edgar Solomonik

In this paper, we develop a method which we call OnlineGCP for computing the Generalized Canonical Polyadic (GCP) tensor decomposition of streaming data. GCP differs from traditional canonical polyadic (CP) tensor decompositions as it…

Numerical Analysis · Mathematics 2021-10-28 Eric Phipps , Nick Johnson , Tamara G. Kolda

Federated learning (FL) can be used to improve data privacy and efficiency in magnetic resonance (MR) image reconstruction by enabling multiple institutions to collaborate without needing to aggregate local data. However, the domain shift…

Image and Video Processing · Electrical Eng. & Systems 2022-08-24 Chun-Mei Feng , Yunlu Yan , Shanshan Wang , Yong Xu , Ling Shao , Huazhu Fu

This paper explores the use of factor graphs as an inference and analysis tool for Bayesian peer-to-peer decentralized data fusion. We propose a framework by which agents can each use local factor graphs to represent relevant partitions of…

Robotics · Computer Science 2023-03-07 Ofer Dagan , Nisar R. Ahmed

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

Resting-state fMRI has been shown to provide surrogate biomarkers for the analysis of various diseases. In addition, fMRI data helps in understanding the brain's functional working during resting state and task-induced activity. To improve…

Machine Learning · Computer Science 2021-10-11 Dushyant Sahoo , Christos Davatzikos

In general, algorithms for order-3 CANDECOMP/-PARAFAC (CP), also coined canonical polyadic decomposition (CPD), are easily to implement and can be extended to higher order CPD. Unfortunately, the algorithms become computationally demanding,…

Numerical Analysis · Mathematics 2017-04-26 Anh Huy Phan , Petr Tichavsky , Andrzej Cichocki

In numerous settings, it is increasingly common to deal with longitudinal data organized as high-dimensional multi-dimensional arrays, also known as tensors. Within this framework, the time-continuous property of longitudinal data often…

Methodology · Statistics 2026-01-28 Lucas Sort , Laurent Le Brusquet , Arthur Tenenhaus

The feedback particle filter (FPF), a resampling-free algorithm proposed over a decade ago, modifies the particle filter (PF) by incorporating a feedback structure. Each particle in FPF is regulated via a feedback gain function (lacking a…

Optimization and Control · Mathematics 2025-11-04 Ruoyu Wang , Xue Luo

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

Tensor decomposition has proven to be a strong tool in various 3D image processing tasks such as denoising and super-resolution. In this context, we recently proposed a canonical polyadic decomposition (CPD) based algorithm for single image…

Image and Video Processing · Electrical Eng. & Systems 2020-09-21 J. Hatvani , A. Basarab , J. Michetti , M. Gyöngy , D. Kouamé

Tensor regression models, such as CP regression and Tucker regression, have many successful applications in neuroimaging analysis where the covariates are of ultrahigh dimensionality and possess complex spatial structures. The…

Machine Learning · Computer Science 2020-10-29 Da Xu

Humans make accurate decisions by interpreting complex data from multiple sources. Medical diagnostics, in particular, often hinge on human interpretation of multi-modal information. In order for artificial intelligence to make progress in…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Faisal Mahmood , Ziyun Yang , Thomas Ashley , Nicholas J. Durr

Distributed multi-target tracking (DMTT) is addressed for sensors having different fields of view (FoVs). The proposed approach is based on the idea of fusing the posterior Probability Hypotheses Densities (PHDs) generated by the sensors on…

Systems and Control · Computer Science 2019-08-28 Guchong Li , Giorgio Battistelli , Wei Yi , Lingjiang Kong

Semantic segmentation of functional magnetic resonance imaging (fMRI) makes great sense for pathology diagnosis and decision system of medical robots. The multi-channel fMRI provides more information of the pathological features. But the…

Computer Vision and Pattern Recognition · Computer Science 2017-07-12 Lei Tai , Haoyang Ye , Qiong Ye , Ming Liu

Deep learning has emerged as a promising approach for learning the nonlinear mapping between diffusion-weighted MR images and tissue parameters, which enables automatic and deep understanding of the brain microstructures. However, the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Wenxin Fan , Jian Cheng , Qiyuan Tian , Ruoyou Wu , Juan Zou , Zan Chen , Shanshan Wang

MR imaging will play a very important role in radiotherapy treatment planning for segmentation of tumor volumes and organs. However, the use of MR-based radiotherapy is limited because of the high cost and the increased use of metal…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Cheng-Bin Jin , Hakil Kim , Wonmo Jung , Seongsu Joo , Ensik Park , Ahn Young Saem , In Ho Han , Jae Il Lee , Xuenan Cui

Most prognostic methods require a decent amount of data for model training. In reality, however, the amount of historical data owned by a single organization might be small or not large enough to train a reliable prognostic model. To…

Machine Learning · Statistics 2024-04-11 Madi Arabi , Xiaolei Fang