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A classical problem in matrix computations is the efficient and reliable approximation of a given matrix by a matrix of lower rank. The truncated singular value decomposition (SVD) is known to provide the best such approximation for any…

数值分析 · 数学 2014-08-12 Ming Gu

This article studies the problem of decentralized Singular Value Decomposition (d-SVD), which is fundamental in various signal processing applications. Two scenarios are considered depending on the availability of the data matrix under…

信号处理 · 电气工程与系统科学 2025-01-10 Yufan Fan , Marius Pesavento

The singular value decomposition (SVD) is a crucial tool in machine learning and statistical data analysis. However, it is highly susceptible to outliers in the data matrix. Existing robust SVD algorithms often sacrifice speed for…

机器学习 · 统计学 2024-02-16 Sangil Han , Kyoowon Kim , Sungkyu Jung

Personalized recommendation is ubiquitous, playing an important role in many online services. Substantial research has been dedicated to learning vector representations of users and items with the goal of predicting a user's preference for…

信息检索 · 计算机科学 2020-01-03 Jianing Sun , Yingxue Zhang , Chen Ma , Mark Coates , Huifeng Guo , Ruiming Tang , Xiuqiang He

Singular Value Decomposition (SVD) is the basic body of many statistical algorithms and few users question whether SVD is properly handling its job. SVD aims at evaluating the decomposition that best approximates a data matrix, given some…

应用统计 · 统计学 2007-09-06 William Rey

The growing popularity of group activities increased the need to develop methods for providing recommendations to a group of users based on the collective preferences of the group members. Several group recommender systems have been…

信息检索 · 计算机科学 2025-11-17 Mubaraka Sani Ibrahim , Isah Charles Saidu , Lehel Csato

In this paper, we present a fast implementation of the Singular Value Thresholding (SVT) algorithm for matrix completion. A rank-revealing randomized singular value decomposition (R3SVD) algorithm is used to adaptively carry out partial…

数值分析 · 计算机科学 2017-04-20 Yaohang Li , Wenjian Yu

The customization of recommended content to users holds significant importance in enhancing user experiences across a wide spectrum of applications such as e-commerce, music, and shopping. Graph-based methods have achieved considerable…

信息检索 · 计算机科学 2023-12-05 Narges Sadat Fazeli Dehkordi , Hadi Zare , Parham Moradi , Mahdi Jalili

The randomized singular value decomposition proposed in [27] has certainly become one of the most well-established randomization-based algorithms in numerical linear algebra. The key ingredient of the entire procedure is the computation of…

数值分析 · 数学 2025-08-01 Davide Palitta , Sascha Portaro

This paper aims at a better understanding of matrix factorization (MF), factorization machines (FM), and their combination with deep algorithms' application in recommendation systems. Specifically, this paper will focus on Singular Value…

信息检索 · 计算机科学 2022-03-22 Yuefeng Zhang

Singular value decomposition (SVD) is a widely used technique for dimensionality reduction and computation of basis vectors. In many applications, especially in fluid mechanics and image processing the matrices are dense, but low-rank…

数值分析 · 计算机科学 2019-05-13 Vinita Vasudevan , M. Ramakrishna

The high-order relations between the content in social media sharing platforms are frequently modeled by a hypergraph. Either hypergraph Laplacian matrix or the adjacency matrix is a big matrix. Randomized algorithms are used for low-rank…

社会与信息网络 · 计算机科学 2019-08-23 Georgios Karantaidis , Ioannis Sarridis , Constantine Kotropoulos

Node embedding learns a low-dimensional representation for each node in the graph. Recent progress on node embedding shows that proximity matrix factorization methods gain superb performance and scale to large graphs with millions of nodes.…

机器学习 · 计算机科学 2021-08-13 Xingyi Zhang , Kun Xie , Sibo Wang , Zengfeng Huang

Graphs or networks are a very convenient way to represent data with lots of interaction. Recently, Machine Learning on Graph data has gained a lot of traction. In particular, vertex classification and missing edge detection have very…

机器学习 · 计算机科学 2020-09-07 Simon Brandeis , Adrian Jarret , Pierre Sevestre

Over the past few years, graph representation learning (GRL) has been a powerful strategy for analyzing graph-structured data. Recently, GRL methods have shown promising results by adopting self-supervised learning methods developed for…

机器学习 · 计算机科学 2022-09-05 Namkyeong Lee , Dongmin Hyun , Junseok Lee , Chanyoung Park

Recent years have witnessed the fast development of the emerging topic of Graph Learning based Recommender Systems (GLRS). GLRS mainly employ the advanced graph learning approaches to model users' preferences and intentions as well as…

Value-decomposition methods, which reduce the difficulty of a multi-agent system by decomposing the joint state-action space into local observation-action spaces, have become popular in cooperative multi-agent reinforcement learning (MARL).…

人工智能 · 计算机科学 2023-03-17 Shuhan Qi , Shuhao Zhang , Qiang Wang , Jiajia Zhang , Jing Xiao , Xuan Wang

Graph convolutional networks (GCNs) allow us to learn topologically-aware node embeddings, which can be useful for classification or link prediction. However, they are unable to capture long-range dependencies between nodes without adding…

机器学习 · 计算机科学 2023-08-17 Reza Namazi , Elahe Ghalebi , Sinead Williamson , Hamidreza Mahyar

Session-based recommendation (SBR) aims at predicting the next item for an ongoing anonymous session. The major challenge of SBR is how to capture richer relations in between items and learn ID-based item embeddings to capture such…

信息检索 · 计算机科学 2022-02-22 Zizhuo Zhang , Bang Wang

Recommender systems have become an essential component of many online platforms, providing personalized recommendations to users. A crucial aspect is embedding techniques that convert the high-dimensional discrete features, such as user and…