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Related papers: Streaming Generalized Canonical Polyadic Tensor De…

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We consider a Canonical Polyadic (CP) decomposition approach to low-rank tensor completion (LRTC) by incorporating external pairwise similarity relations through graph Laplacian regularization on the CP factor matrices. The usage of graph…

Numerical Analysis · Mathematics 2023-11-14 Yu Guan , Shuyu Dong , Bin Gao , P. -A. Absil , François Glineur

Examining most streaming clustering algorithms leads to the understanding that they are actually incremental classification models. They model existing and newly discovered structures via summary information that we call footprints.…

Computer Vision and Pattern Recognition · Computer Science 2021-07-14 Wenlong Wu , James M. Keller , Jeffrey Dale , James C. Bezdek

Correlated anomaly detection (CAD) from streaming data is a type of group anomaly detection and an essential task in useful real-time data mining applications like botnet detection, financial event detection, industrial process monitor,…

Machine Learning · Computer Science 2019-01-18 Zheng Chen , Xinli Yu , Yuan Ling , Bo Song , Wei Quan , Xiaohua Hu , Erjia Yan

$\rm{SO}(3)$-equivariant networks are the dominant models for machine learning interatomic potentials (MLIPs). The key operation of such networks is the Clebsch-Gordan (CG) tensor product, which is computationally expensive. To accelerate…

Machine Learning · Computer Science 2026-01-14 Yuchao Lin , Cong Fu , Zachary Krueger , Haiyang Yu , Maho Nakata , Jianwen Xie , Emine Kucukbenli , Xiaofeng Qian , Shuiwang Ji

Extracting latent low-dimensional structure from high-dimensional data is of paramount importance in timely inference tasks encountered with `Big Data' analytics. However, increasingly noisy, heterogeneous, and incomplete datasets as well…

Machine Learning · Statistics 2015-06-19 Morteza Mardani , Gonzalo Mateos , Georgios B. Giannakis

Recently, coupled tensor decomposition has been widely used in data fusion of a hyperspectral image (HSI) and a multispectral image (MSI) for hyperspectral super-resolution (HSR). However, exsiting works often ignore the inherent…

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

Tensor decompositions, such as CANDECOMP/PARAFAC (CP), are widely used in a variety of applications, such as chemometrics, signal processing, and machine learning. A broadly used method for computing such decompositions relies on the…

Mathematical Software · Computer Science 2022-05-02 Christos Psarras , Lars Karlsson , Rasmus Bro , Paolo Bientinesi

Tensor decompositions are a fundamental tool in scientific computing and data analysis. In many applications -- such as simulation data on irregular grids, surrogate modeling for parameterized PDEs, or spectroscopic measurements -- the data…

Numerical Analysis · Mathematics 2026-03-27 Johannes J. Brust , Tamara G. Kolda

Deep convolutional neural networks (CNN) are widely used in modern artificial intelligence (AI) and smart vision systems but also limited by computation latency, throughput, and energy efficiency on a resource-limited scenario, such as…

Hardware Architecture · Computer Science 2017-09-18 Yuan Du , Li Du , Yilei Li , Junjie Su , Mau-Chung Frank Chang

Learning-based model predictive control (MPC) can enhance control performance by correcting for model inaccuracies, enabling more precise state trajectory predictions than traditional MPC. A common approach is to model unknown residual…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Lars Bartels , Amon Lahr , Andrea Carron , Melanie N. Zeilinger

A streaming algorithm to compute the spectral proper orthogonal decomposition (SPOD) of stationary random processes is presented. As new data becomes available, an incremental update of the truncated eigenbasis of the estimated…

Fluid Dynamics · Physics 2019-01-14 Oliver T. Schmidt , Aaron Towne

A framework of online adaptive statistical compressed sensing is introduced for signals following a mixture model. The scheme first uses non-adaptive measurements, from which an online decoding scheme estimates the model selection. As soon…

Computer Vision and Pattern Recognition · Computer Science 2011-12-30 Julio Duarte-Carvajalino , Guillermo Sapiro , Guoshen Yu , Lawrence Carin

We present a new method for online prediction and learning of tensors ($N$-way arrays, $N >2$) from sequential measurements. We focus on the specific case of 3-D tensors and exploit a recently developed framework of structured tensor…

Machine Learning · Statistics 2015-07-30 John Pothier , Josh Girson , Shuchin Aeron

The amount of collected information on data repositories has vastly increased with the advent of the internet. It has become increasingly complex to deal with these massive data streams due to their sheer volume and the throughput of…

Information Retrieval · Computer Science 2021-05-13 Oshan Mudannayake , Nalin Ranasinghe

High-performance deep learning depends on efficient tensor programs. In recent years, automatic tensor program optimization, also known as tensor compilation, has emerged as the primary approach to generating efficient tensor programs.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Hangda Liu , Boyu Diao , Yu Yang , Wenxin Chen , Xiaohui Peng , Yongjun Xu

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

The traditional compressed sensing approach is naturally offline, in that it amounts to sparsely sampling and reconstructing a given dataset. Recently, an online algorithm for performing compressed sensing on streaming data was proposed:…

Optimization and Control · Mathematics 2016-05-10 Pantelis Sopasakis , Nikolaos Freris , Panagiotis Patrinos

Point cloud compression (PCC) is a key enabler for various 3-D applications, owing to the universality of the point cloud format. Ideally, 3D point clouds endeavor to depict object/scene surfaces that are continuous. Practically, as a set…

Image and Video Processing · Electrical Eng. & Systems 2022-09-12 Jiahao Pang , Muhammad Asad Lodhi , Dong Tian

Multiview canonical correlation analysis (MCCA) seeks latent low-dimensional representations encountered with multiview data of shared entities (a.k.a. common sources). However, existing MCCA approaches do not exploit the geometry of the…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Jia Chen , Gang Wang , Georgios B. Giannakis

Classic and deep generalized canonical correlation analysis (GCCA) algorithms seek low-dimensional common representations of data entities from multiple ``views'' (e.g., audio and image) using linear transformations and neural networks,…

Machine Learning · Computer Science 2023-04-05 Sagar Shrestha , Xiao Fu