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CANDECOMP/PARAFAC (CP) decomposition is the mostly used model to formulate the received tensor signal in a massive MIMO system, as the receiver generally sums the components from different paths or users. To achieve accurate and low-latency…

信号处理 · 电气工程与系统科学 2024-11-21 Xiao Gong , Wei Chen , Bo Ai , Geert Leus

Tensor linear regression is an important and useful tool for analyzing tensor data. To deal with high dimensionality, CANDECOMP/PARAFAC (CP) low-rank constraints are often imposed on the coefficient tensor parameter in the (penalized)…

机器学习 · 统计学 2024-04-02 Ya Zhou , Raymond K. W. Wong , Kejun He

Low-rank tensor decomposition and completion have attracted significant interest from academia given the ubiquity of tensor data. However, the low-rank structure is a global property, which will not be fulfilled when the data presents…

机器学习 · 计算机科学 2019-12-13 Ziyue Li , Nurettin Dorukhan Sergin , Hao Yan , Chen Zhang , Fugee Tsung

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…

机器学习 · 计算机科学 2012-01-17 Zenglin Xu , Feng Yan , Yuan , Qi

Tensors are multi-way arrays, and the Candecomp/Parafac (CP) tensor factorization has found application in many different domains. The CP model is typically fit using a least squares objective function, which is a maximum likelihood…

数值分析 · 数学 2010-10-18 Eric C. Chi , Tamara G. Kolda

Traditional feature selections need to know the feature space before learning, and online streaming feature selection (OSFS) is proposed to process streaming features on the fly. Existing methods divide features into relevance or…

机器学习 · 计算机科学 2023-03-01 RuiYang Xu , Di Wu , Xin Luo

Temporal data (such as news articles or Twitter feeds) often consists of a mixture of long-lasting trends and popular but short-lasting topics of interest. A truly successful topic modeling strategy should be able to detect both types of…

Tensor CANDECOMP/PARAFAC (CP) decomposition has wide applications in statistical learning of latent variable models and in data mining. In this paper, we propose fast and randomized tensor CP decomposition algorithms based on sketching. We…

机器学习 · 统计学 2015-10-21 Yining Wang , Hsiao-Yu Tung , Alexander Smola , Animashree Anandkumar

Factorization Machine (FM) is a supervised learning approach with a powerful capability of feature engineering. It yields state-of-the-art performance in various batch learning tasks where all the training data is made available prior to…

机器学习 · 计算机科学 2018-02-06 Wenpeng Zhang , Xiao Lin , Peilin Zhao

Koopman mode decomposition and tensor component analysis (also known as CANDECOMP/PARAFAC or canonical polyadic decomposition) are two popular approaches of decomposing high dimensional data sets into low dimensional modes that capture the…

数值分析 · 数学 2021-05-19 William T. Redman

In this paper, we demonstrate how to learn the objective function of a decision-maker while only observing the problem input data and the decision-maker's corresponding decisions over multiple rounds. We present exact algorithms for this…

最优化与控制 · 数学 2020-03-31 Andreas Bärmann , Alexander Martin , Sebastian Pokutta , Oskar Schneider

Higher-order tensors are well-suited for representing multi-dimensional data, such as images and videos, which typically characterize low-rank structures. Low-rank tensor decomposition has become essential in machine learning and computer…

计算机视觉与模式识别 · 计算机科学 2025-10-08 Zhengyun Cheng , Ruizhe Zhang , Guanwen Zhang , Yi Xu , Xiangyang Ji , Wei Zhou

Matrix factorization (MF) is a versatile learning method that has found wide applications in various data-driven disciplines. Still, many MF algorithms do not adequately scale with the size of available datasets and/or lack…

机器学习 · 计算机科学 2019-05-30 Abhishek Agarwal , Jianhao Peng , Olgica Milenkovic

A multi-way factor analysis model is introduced for tensor-variate data of any order. Each data item is represented as a (sparse) sum of Kruskal decompositions, a Kruskal-factor analysis (KFA). KFA is nonparametric and can infer both the…

机器学习 · 统计学 2017-03-07 Andrew Stevens , Yunchen Pu , Yannan Sun , Greg Spell , Lawrence Carin

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.…

计算工程、金融与科学 · 计算机科学 2016-05-24 HyungSeon Oh

We describe a probabilistic PARAFAC/CANDECOMP (CP) factorization for multiway (i.e., tensor) data that incorporates auxiliary covariates, SupCP. SupCP generalizes the supervised singular value decomposition (SupSVD) for vector-valued…

统计方法学 · 统计学 2018-04-03 Eric F. Lock , Gen Li

This paper studies the data sparsity problem in multi-view learning. To solve data sparsity problem in multiview ratings, we propose a generic architecture of deep transfer tensor factorization (DTTF) by integrating deep learning and…

计算机视觉与模式识别 · 计算机科学 2023-02-14 Penghao Jiang , Ke Xin , Chunxi Li

Online conformal prediction (OCP) wraps around any pre-trained predictor to produce prediction sets with coverage guarantees that hold irrespective of temporal dependencies or distribution shifts. However, standard OCP faces two key…

机器学习 · 计算机科学 2025-11-21 Meiyi Zhu , Caili Guo , Chunyan Feng , Osvaldo Simeone

Tensors have found application in a variety of fields, ranging from chemometrics to signal processing and beyond. In this paper, we consider the problem of multilinear modeling of sparse count data. Our goal is to develop a descriptive…

数值分析 · 数学 2013-09-16 Eric C. Chi , Tamara G. Kolda

Conformal prediction is a framework that provides valid uncertainty quantification for general models with exchangeable data. However, in the online learning and time-series settings, exchangeability is not satisfied. Existing online…

机器学习 · 计算机科学 2026-05-11 Yuheng Lai , Garvesh Raskutti