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We present a matrix factorization algorithm that scales to input matrices that are large in both dimensions (i.e., that contains morethan 1TB of data). The algorithm streams the matrix columns while subsampling them, resulting in low…

最优化与控制 · 数学 2016-12-04 Arthur Mensch , Julien Mairal , Gaël Varoquaux , Bertrand Thirion

Matrix factorization techniques have been widely used as a method for collaborative filtering for recommender systems. In recent times, different variants of deep learning algorithms have been explored in this setting to improve the task of…

机器学习 · 计算机科学 2019-03-26 Vaibhav Krishna , Tian Guo , Nino Antulov-Fantulin

The rapid growth of users' involvement in Location-Based Social Networks (LBSNs) has led to the expeditious growth of the data on a global scale. The need of accessing and retrieving relevant information close to users' preferences is an…

信息检索 · 计算机科学 2019-02-05 Giannis Christoforidis , Pavlos Kefalas , Apostolos N. Papadopoulos , Yannis Manolopoulos

Recommendation models can effectively estimate underlying user interests and predict one's future behaviors by factorizing an observed user-item rating matrix into products of two sets of latent factors. However, the user-specific embedding…

信息检索 · 计算机科学 2022-03-08 Qitian Wu , Hengrui Zhang , Xiaofeng Gao , Junchi Yan , Hongyuan Zha

Matrix factorization is an important mathematical problem encountered in the context of dictionary learning, recommendation systems and machine learning. We introduce a new `decimation' scheme that maps it to neural network models of…

无序系统与神经网络 · 物理学 2023-07-12 Francesco Camilli , Marc Mézard

Matrix factorization is a key component of collaborative filtering-based recommendation systems because it allows us to complete sparse user-by-item ratings matrices under a low-rank assumption that encodes the belief that similar users…

机器学习 · 统计学 2016-04-22 Aleksandr Y. Aravkin , Kush R. Varshney , Liu Yang

Learning representations of nodes in a low dimensional space is a crucial task with many interesting applications in network analysis, including link prediction and node classification. Two popular approaches for this problem include matrix…

社会与信息网络 · 计算机科学 2019-09-11 Abdulkadir Çelikkanat , Fragkiskos D. Malliaros

Matrix Factorization is a widely adopted technique in the field of recommender system. Matrix Factorization techniques range from SVD, LDA, pLSA, SVD++, MatRec, Zipf Matrix Factorization and Item2Vec. In recent years, distributed word…

信息检索 · 计算机科学 2022-04-28 Hao Wang

In this work, we study the utility of graph embeddings to generate latent user representations for trust-based collaborative filtering. In a cold-start setting, on three publicly available datasets, we evaluate approaches from four method…

社会与信息网络 · 计算机科学 2021-02-02 Tomislav Duricic , Hussain Hussain , Emanuel Lacic , Dominik Kowald , Denis Helic , Elisabeth Lex

Signed networks are frequently observed in real life with additional sign information associated with each edge, yet such information has been largely ignored in existing network models. This paper develops a unified embedding model for…

社会与信息网络 · 计算机科学 2023-10-17 Haoran Zhang , Junhui Wang

We present Regularized Linear Embedding (RLE), a novel method that projects a collection of linked documents (e.g. citation network) into a pretrained word embedding space. In addition to the textual content, we leverage a matrix of…

信息检索 · 计算机科学 2020-01-17 Antoine Gourru , Adrien Guille , Julien Velcin , Julien Jacques

We propose a method that meta-learns a knowledge on matrix factorization from various matrices, and uses the knowledge for factorizing unseen matrices. The proposed method uses a neural network that takes a matrix as input, and generates…

机器学习 · 统计学 2021-06-30 Tomoharu Iwata

Matrix factorization is one of the best approaches for collaborative filtering, because of its high accuracy in presenting users and items latent factors. The main disadvantages of matrix factorization are its complexity, and being very…

机器学习 · 计算机科学 2017-08-10 Mostafa A. Shehata , Mohammad Nassef , Amr A. Badr

In this article, we introduce a two-way factor model for a high-dimensional data matrix and study the properties of the maximum likelihood estimation (MLE). The proposed model assumes separable effects of row and column attributes and…

统计方法学 · 统计学 2021-03-17 Gao Zhigen , Yuan Chaofeng , Jing Bingyi , Huang Wei , Guo Jianhua

Most state-of-the-art top-N collaborative recommender systems work by learning embeddings to jointly represent users and items. Learned embeddings are considered to be effective to solve a variety of tasks. Among others, providing and…

信息检索 · 计算机科学 2021-04-14 Giovanni Gabbolini , Edoardo D'Amico , Cesare Bernardis , Paolo Cremonesi

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…

统计方法学 · 统计学 2020-02-10 Michael J. O'Connell , Eric F. Lock

Link prediction is a fundamental task in graph analysis. Despite the success of various graph-based machine learning models for link prediction, there lacks a general understanding of different models. In this paper, we propose a unified…

机器学习 · 计算机科学 2024-10-30 Haoxin Liu

We present a new distributed representation in deep neural nets wherein the information is represented in native form as a matrix. This differs from current neural architectures that rely on vector representations. We consider matrices as…

机器学习 · 计算机科学 2018-02-06 Kien Do , Truyen Tran , Svetha Venkatesh

Multi-task learning (MTL) has emerged as a pivotal paradigm in machine learning by leveraging shared structures across multiple related tasks. Despite its empirical success, the development of likelihood-based efficiently solvable…

机器学习 · 计算机科学 2026-05-07 Shihong Ding , Fangyu Du , Cong Fang

Nonnegative matrix factorization (NMF) has been shown to be identifiable under the separability assumption, under which all the columns(or rows) of the input data matrix belong to the convex cone generated by only a few of these columns(or…

机器学习 · 统计学 2014-03-25 Jason Gejie Liu , Shuchin Aeron