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Joint analysis of data from multiple information repositories facilitates uncovering the underlying structure in heterogeneous datasets. Single and coupled matrix-tensor factorization (CMTF) has been widely used in this context for…

Coupled matrix and tensor factorizations (CMTF) are frequently used to jointly analyze data from multiple sources, also called data fusion. However, different characteristics of datasets stemming from multiple sources pose many challenges…

机器学习 · 计算机科学 2021-04-21 Carla Schenker , Jeremy E. Cohen , Evrim Acar

Coupled decompositions are a widely used tool for data fusion. As the volume of data increases, so does the dimensionality of matrices and tensors, highlighting the need for more efficient coupled decomposition algorithms. This paper…

数值分析 · 数学 2026-04-22 Erna Begovic , Anita Carevic , Ivana Sain Glibic

Coupled Matrix Tensor Factorization (CMTF) facilitates the integration and analysis of multiple data sources and helps discover meaningful information. Nonnegative CMTF (N-CMTF) has been employed in many applications for identifying latent…

机器学习 · 计算机科学 2020-03-10 Thirunavukarasu Balasubramaniam , Richi Nayak , Chau Yuen

Coupled matrix and tensor factorizations (CMTF) have emerged as an effective data fusion tool to jointly analyze data sets in the form of matrices and higher-order tensors. The PARAFAC2 model has shown to be a promising alternative to the…

机器学习 · 计算机科学 2023-06-05 Carla Schenker , Xiulin Wang , Evrim Acar

Data fusion models based on Coupled Matrix and Tensor Factorizations (CMTF) have been effective tools for joint analysis of data from multiple sources. While the vast majority of CMTF models are based on the strictly multilinear…

机器学习 · 计算机科学 2025-06-17 Carla Schenker , Xiulin Wang , David Horner , Morten A. Rasmussen , Evrim Acar

How can we capture the hidden properties from a tensor and a matrix data simultaneously in a fast, accurate, and scalable way? Coupled matrix-tensor factorization (CMTF) is a major tool to extract latent factors from a tensor and matrices…

数值分析 · 计算机科学 2017-12-06 Dongjin Choi , Jun-Gi Jang , U Kang

For most problems in science and engineering we can obtain data sets that describe the observed system from various perspectives and record the behavior of its individual components. Heterogeneous data sets can be collectively mined by data…

机器学习 · 计算机科学 2015-02-09 Marinka Žitnik , Blaž Zupan

Matrix Factorization techniques have been successfully applied to raise the quality of suggestions generated by Collaborative Filtering Systems (CFSs). Traditional CFSs based on Matrix Factorization operate on the ratings provided by users…

社会与信息网络 · 计算机科学 2012-02-13 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

Activation functions (AFs) are an important part of the design of neural networks (NNs), and their choice plays a predominant role in the performance of a NN. In this work, we are particularly interested in the estimation of flexible…

机器学习 · 计算机科学 2021-06-28 Yassine Zniyed , Konstantin Usevich , Sebastian Miron , David Brie

The proposed article aims at offering a comprehensive tutorial for the computational aspects of structured matrix and tensor factorization. Unlike existing tutorials that mainly focus on {\it algorithmic procedures} for a small set of…

信号处理 · 电气工程与系统科学 2023-07-19 Xiao Fu , Nico Vervliet , Lieven De Lathauwer , Kejun Huang , Nicolas Gillis

Coupled tensor decompositions (CTDs) perform data fusion by linking factors from different datasets. Although many CTDs have been already proposed, current works do not address important challenges of data fusion, where: 1) the datasets are…

机器学习 · 计算机科学 2024-12-13 Ricardo Augusto Borsoi , Konstantin Usevich , David Brie , Tülay Adali

Recommender systems are a kind of data filtering that guides the user to interesting and valuable resources within an extensive dataset. by providing suggestions of products that are expected to match their preferences. However, due to data…

信息检索 · 计算机科学 2024-06-18 Sajida Mhammedi , Hakim El Massari , Noreddine Gherabi , Amnai Mohamed

Collaborative filtering (CF) has become a popular method for developing recommender systems (RSs) where ratings of a user for new items are predicted based on her past preferences and available preference information of other users. Despite…

信息检索 · 计算机科学 2023-10-03 Shamal Shaikh , Venkateswara Rao Kagita , Vikas Kumar , Arun K Pujari

Recommender systems (RSs) provide an effective way of alleviating the information overload problem by selecting personalized choices. Online social networks and user-generated content provide diverse sources for recommendation beyond…

信息检索 · 计算机科学 2020-10-19 Guang-Neng Hu , Xin-Yu Dai , Yunya Song , Shu-Jian Huang , Jia-Jun Chen

Recommender systems (RSs) provide an effective way of alleviating the information overload problem by selecting personalized items for different users. Latent factors based collaborative filtering (CF) has become the popular approaches for…

信息检索 · 计算机科学 2021-01-15 Guang-Neng Hu , Xin-Yu Dai , Feng-Yu Qiu , Rui Xia , Tao Li , Shu-Jian Huang , Jia-Jun Chen

There has recently been considerable interest in completing a low-rank matrix or tensor given only a small fraction (or few linear combinations) of its entries. Related approaches have found considerable success in the area of recommender…

机器学习 · 计算机科学 2017-02-20 Nikos Kargas , Nicholas D. Sidiropoulos

Matrix Factorization (MF) has found numerous applications in Machine Learning and Data Mining, including collaborative filtering recommendation systems, dimensionality reduction, data visualization, and community detection. Motivated by the…

机器学习 · 计算机科学 2023-09-26 Ioannis Kordonis , Emmanouil Theodosis , George Retsinas , Petros Maragos

Multimodal data arise in various applications where information about the same phenomenon is acquired from multiple sensors and across different imaging modalities. Learning from multimodal data is of great interest in machine learning and…

机器学习 · 统计学 2022-01-20 Li Peide , Seyyid Emre Sofuoglu , Tapabrata Maiti , Selin Aviyente

CMF is a technique for simultaneously learning low-rank representations based on a collection of matrices with shared entities. A typical example is the joint modeling of user-item, item-property, and user-feature matrices in a recommender…

机器学习 · 统计学 2014-11-19 Arto Klami , Guillaume Bouchard , Abhishek Tripathi
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