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Deep neural networks (DNNs) are the de facto standard for essential use cases, such as image classification, computer vision, and natural language processing. As DNNs and datasets get larger, they require distributed training on…

Machine Learning · Computer Science 2024-03-07 Minghao Li , Ran Ben Basat , Shay Vargaftik , ChonLam Lao , Kevin Xu , Michael Mitzenmacher , Minlan Yu

Tucker decomposition is the cornerstone of modern machine learning on tensorial data analysis, which have attracted considerable attention for multiway feature extraction, compressive sensing, and tensor completion. The most challenging…

Machine Learning · Computer Science 2015-05-12 Qibin Zhao , Liqing Zhang , Andrzej Cichocki

We investigate the relationship between the extensor electromyogram (EMG) and tremor time series in physiological hand tremor by cross-spectral analysis. Special attention is directed to the phase spectrum and the effects of observational…

chao-dyn · Physics 2007-05-23 J. Timmer , M. Lauk , W. Pfleger , G. Deuschl

The standard approach to modeling the human brain as a complex system is with a network, where the basic unit of interaction is a pairwise link between two brain regions. While powerful, this approach is limited by the inability to assess…

Neurons and Cognition · Quantitative Biology 2023-01-16 Thomas F Varley , Maria Pope , Maria Grazia Puxeddu , Joshua Faskowitz , Olaf Sporns

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

Dynamic mode decomposition (DMD) is a recently developed tool for the analysis of the behavior of complex dynamical systems. In this paper, we will propose an extension of DMD that exploits low-rank tensor decompositions of potentially…

Numerical Analysis · Mathematics 2019-08-14 Stefan Klus , Patrick Gelß , Sebastian Peitz , Christof Schütte

Human activity recognition (HAR) with wearables is promising research that can be widely adopted in many smart healthcare applications. In recent years, the deep learning-based HAR models have achieved impressive recognition performance.…

Computer Vision and Pattern Recognition · Computer Science 2022-08-17 Songpengcheng Xia , Lei Chu , Ling Pei , Wenxian Yu , Robert C. Qiu

Observations in various applications are frequently represented as a time series of multidimensional arrays, called tensor time series, preserving the inherent multidimensional structure. In this paper, we present a factor model approach,…

Methodology · Statistics 2024-04-22 Yuefeng Han , Dan Yang , Cun-Hui Zhang , Rong Chen

The objective of this work is to relate muscle effort distributions to the trajectory and resistance settings of a robotic exercise and rehabilitation machine. Muscular effort distribution, representing the participation of each muscle in…

Robotics · Computer Science 2021-07-06 Humberto De las Casas , Santino Bianco , Hanz Richter

Complications during pregnancy and labor are common and can be especially detrimental in populations with limited access to healthcare. A promising technology to address these complications is the electrohysterogram (EHG), which measures…

Signal Processing · Electrical Eng. & Systems 2023-02-28 Uri Goldsztejn , Arye Nehorai

Mixtures of linear dynamical systems (MoLDS) provide a path to model time-series data that exhibit diverse temporal dynamics across trajectories. However, its application remains challenging in complex and noisy settings, limiting its…

Machine Learning · Computer Science 2026-03-02 Lulu Gong , Shreya Saxena

Tensor robust principal component analysis (TRPCA) has received a substantial amount of attention in various fields. Most existing methods, normally relying on tensor nuclear norm minimization, need to pay an expensive computational cost…

Numerical Analysis · Computer Science 2017-12-29 Jonathan Q. Jiang , Michael K. Ng

We propose a novel rank-adaptive higher-order orthogonal iteration (HOOI) algorithm to compute the truncated Tucker decomposition of higher-order tensors with a given error tolerance, and prove that the method is locally optimal and…

Numerical Analysis · Mathematics 2021-10-26 Chuanfu Xiao , Chao Yang

Designing effective rehabilitation strategies for upper extremities, particularly hands and fingers, warrants the need for a computational model of human motor learning. The presence of large degrees of freedom (DoFs) available in these…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Ankur Kamboj , Rajiv Ranganathan , Xiaobo Tan , Vaibhav Srivastava

In this paper, we introduce a new tensor decomposition for third order tensors, which decomposes a third order tensor to three third order low rank tensors in a balanced way. We call such a decomposition the triple decomposition, and the…

Numerical Analysis · Mathematics 2020-03-03 Liqun Qi , Yannan Chen , Mayank Bakshi , Xinzhen Zhang

Tensor clustering, which seeks to extract underlying cluster structures from noisy tensor observations, has gained increasing attention. One extensively studied model for tensor clustering is the tensor block model, which postulates the…

Statistics Theory · Mathematics 2023-11-07 Yuchen Zhou , Yuxin Chen

Inferring future activity information based on observed activity data is a crucial step to improve the accuracy of early activity prediction. Traditional methods based on generative adversarial networks(GAN) or joint learning frameworks can…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Tingyu Liu , Jun Huang , Chenyi Weng

Skeleton-based action recognition has achieved remarkable performance with the development of graph convolutional networks (GCNs). However, most of these methods tend to construct complex topology learning mechanisms while neglecting the…

Computer Vision and Pattern Recognition · Computer Science 2024-11-21 Zeyu Liang , Hailun Xia , Naichuan Zheng , Huan Xu

Brain network analysis is a useful approach to studying human brain disorders because it can distinguish patients from healthy people by detecting abnormal connections. Due to the complementary information from multiple modal neuroimages,…

Image and Video Processing · Electrical Eng. & Systems 2023-08-22 Qiankun Zuo , Yanfei Zhu , Libin Lu , Zhi Yang , Yuhui Li , Ning Zhang

Tensor decomposition is a mathematically supported technique for data compression. It consists of applying some kind of a Low Rank Decomposition technique on the tensors or matrices in order to reduce the redundancy of the data. However, it…

Machine Learning · Computer Science 2025-05-27 Habib Hajimolahoseini , Walid Ahmed , Austin Wen , Yang Liu
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