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This paper proposes a method to guide tensor factorization, using class labels. Furthermore, it shows the advantages of using the proposed method in identifying nodes that play a special role in multi-relational networks, e.g. spammers.…

Social and Information Networks · Computer Science 2019-07-25 Georgios Katsimpras , Georgios Paliouras

Matrix factorization is an important representation learning algorithm, e.g., recommender systems, where a large matrix can be factorized into the product of two low dimensional matrices termed as latent representations. This paper…

Information Theory · Computer Science 2021-05-11 Siyuan Wang , Qifa Yan , Jingjing Zhang , Jianping Wang , Linqi Song

In this paper the efficiency of multilevel sparse tensor approximation methods for high-dimensional affine parametric diffusion equations is investigated. Methodologically, the recently presented Sparse Alternating Least Squares (SALS)…

Numerical Analysis · Mathematics 2026-03-17 Martin Eigel , Philipp Trunschke , Dana Wrischnig

Most contemporary multi-task learning methods assume linear models. This setting is considered shallow in the era of deep learning. In this paper, we present a new deep multi-task representation learning framework that learns cross-task…

Machine Learning · Computer Science 2017-02-20 Yongxin Yang , Timothy Hospedales

Low-rank tensor completion has been widely used in computer vision and machine learning. This paper develops a novel multi-modal core tensor factorization (MCTF) method combined with a tensor low-rankness measure and a better nonconvex…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Haijin Zeng

Classification of multi-dimensional time series from real-world systems require fine-grained learning of complex features such as cross-dimensional dependencies and intra-class variations-all under the practical challenge of low training…

Machine Learning · Computer Science 2025-05-16 Anushiya Arunan , Yan Qin , Xiaoli Li , Yuen Chau

Producing large complex simulation datasets can often be a time and resource consuming task. Especially when these experiments are very expensive, it is becoming more reasonable to generate synthetic data for downstream tasks. Recently,…

Machine Learning · Computer Science 2025-08-28 Paimon Goulart , Shaan Pakala , Evangelos Papalexakis

Recent demands on data privacy have called for federated learning (FL) as a new distributed learning paradigm in massive and heterogeneous networks. Although many FL algorithms have been proposed, few of them have considered the matrix…

Machine Learning · Computer Science 2020-11-02 Shuai Wang , Tsung-Hui Chang

Matrix-parametrized models, including multiclass logistic regression and sparse coding, are used in machine learning (ML) applications ranging from computer vision to computational biology. When these models are applied to large-scale ML…

Machine Learning · Computer Science 2015-11-30 Pengtao Xie , Jin Kyu Kim , Yi Zhou , Qirong Ho , Abhimanu Kumar , Yaoliang Yu , Eric Xing

Matrix-parametrized models, including multiclass logistic regression and sparse coding, are used in machine learning (ML) applications ranging from computer vision to computational biology. When these models are applied to large-scale ML…

Machine Learning · Computer Science 2015-09-08 Pengtao Xie , Jin Kyu Kim , Yi Zhou , Qirong Ho , Abhimanu Kumar , Yaoliang Yu , Eric Xing

Tensor factorizations (TF) are powerful tools for the efficient representation and analysis of multidimensional data. However, classic TF methods based on maximum likelihood estimation underperform when applied to zero-inflated count data,…

Machine Learning · Statistics 2023-08-17 Daniel Chafamo , Vignesh Shanmugam , Neriman Tokcan

Due to accessible big data collections from consumers, products, and stores, advanced sales forecasting capabilities have drawn great attention from many companies especially in the retail business because of its importance in decision…

Machine Learning · Computer Science 2020-11-09 Xuan Bi , Gediminas Adomavicius , William Li , Annie Qu

Multitask learning (MTL) can utilize the relatedness between multiple tasks for performance improvement. The advent of multimodal data allows tasks to be referenced by multiple indices. High-order tensors are capable of providing efficient…

Machine Learning · Computer Science 2023-08-23 Jiani Liu , Qinghua Tao , Ce Zhu , Yipeng Liu , Johan A. K. Suykens

In recent years, a number of methods have been developed for the dimension reduction and decomposition of multiple linked high-content data matrices. Typically these methods assume that just one dimension, rows or columns, is shared among…

Methodology · Statistics 2020-02-10 Michael J. O'Connell , Eric F. Lock

Dynamic tensor data are becoming prevalent in numerous applications. Existing tensor clustering methods either fail to account for the dynamic nature of the data, or are inapplicable to a general-order tensor. Also there is often a gap…

Machine Learning · Statistics 2018-09-17 Will Wei Sun , Lexin Li

Given sparse multi-dimensional data (e.g., (user, movie, time; rating) for movie recommendations), how can we discover latent concepts/relations and predict missing values? Tucker factorization has been widely used to solve such problems…

Numerical Analysis · Computer Science 2018-06-05 Sejoon Oh , Namyong Park , Lee Sael , U Kang

Tensor factorization with hard and/or soft constraints has played an important role in signal processing and data analysis. However, existing algorithms for constrained tensor factorization have two drawbacks: (i) they require…

Numerical Analysis · Mathematics 2024-07-01 Shunsuke Ono , Takuma Kasai

This study aims to solve the over-reliance on the rank estimation strategy in the standard tensor factorization-based tensor recovery and the problem of a large computational cost in the standard t-SVD-based tensor recovery. To this end, we…

Machine Learning · Computer Science 2023-05-22 Jingjing Zheng , Wenzhe Wang , Xiaoqin Zhang , Xianta Jiang

Data sparsity has been one of the long-standing problems for recommender systems. One of the solutions to mitigate this issue is to exploit knowledge available in other source domains. However, many cross-domain recommender systems…

Information Retrieval · Computer Science 2024-09-25 Abdulaziz Samra , Evgeney Frolov , Alexey Vasilev , Alexander Grigorievskiy , Anton Vakhrushev

A novel unsupervised learning method is proposed in this paper for biclustering large-dimensional matrix-valued time series based on an entirely new latent two-way factor structure. Each block cluster is characterized by its own row and…

Methodology · Statistics 2025-02-11 Yong He , Xiaoyang Ma , Xingheng Wang , Yalin Wang