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Learning from multiple-relational data which contains noise, ambiguities, or duplicate entities is essential to a wide range of applications such as statistical inference based on Web Linked Data, recommender systems, computational biology,…

Machine Learning · Statistics 2016-04-05 Lucas Drumond , Ernesto Diaz-Aviles , Lars Schmidt-Thieme

Nonnegative Matrix Factorization (NMF) aims to factorize a matrix into two optimized nonnegative matrices and has been widely used for unsupervised learning tasks such as product recommendation based on a rating matrix. However, although…

Social and Information Networks · Computer Science 2015-04-03 Junyu Xuan , Jie Lu , Xiangfeng Luo , Guangquan Zhang

Learning sophisticated feature interactions behind user behaviors is critical in maximizing CTR for recommender systems. Despite great progress, existing methods have a strong bias towards low- or high-order interactions, or rely on…

Information Retrieval · Computer Science 2018-05-17 Huifeng Guo , Ruiming Tang , Yunming Ye , Zhenguo Li , Xiuqiang He , Zhenhua Dong

Nonnegative matrix factorization (NMF) has been widely used to dimensionality reduction in machine learning. However, the traditional NMF does not properly handle outliers, so that it is sensitive to noise. In order to improve the…

Machine Learning · Computer Science 2022-06-08 Tingting Shen , Junhang Li , Can Tong , Qiang He , Chen Li , Yudong Yao , Yueyang Teng

Matrix Factorization (MF) is a very popular method for recommendation systems. It assumes that the underneath rating matrix is low-rank. However, this assumption can be too restrictive to capture complex relationships and interactions among…

Social and Information Networks · Computer Science 2017-09-15 Huan Zhao , Quanming Yao , James T. Kwok , Dik Lun Lee

Low rank matrix factorization is a fundamental building block in machine learning, used for instance to summarize gene expression profile data or word-document counts. To be robust to outliers and differences in scale across features, a…

Machine Learning · Computer Science 2020-07-07 Marco Cuturi , Olivier Teboul , Jonathan Niles-Weed , Jean-Philippe Vert

We consider the problem of approximating an affinely structured matrix, for example a Hankel matrix, by a low-rank matrix with the same structure. This problem occurs in system identification, signal processing and computer algebra, among…

Numerical Analysis · Mathematics 2014-06-25 Mariya Ishteva , Konstantin Usevich , Ivan Markovsky

Low-rank factorization is a popular model compression technique that minimizes the error $\delta$ between approximated and original weight matrices. Despite achieving performances close to the original models when $\delta$ is optimized, a…

Machine Learning · Computer Science 2025-12-24 Boyang Zhang , Daning Cheng , Yunquan Zhang , Fangming Liu , Jiake Tian

Recommender systems (RSs) have been a widely exploited approach to solving the information overload problem. However, the performance is still limited due to the extreme sparsity of the rating data. With the popularity of Web 2.0, the…

Information Retrieval · Computer Science 2017-05-24 Jianguo Li , Yong Tang , Jiemin Chen

Multiresolution Matrix Factorization (MMF) was recently introduced as an alternative to the dominant low-rank paradigm in order to capture structure in matrices at multiple different scales. Using ideas from multiresolution analysis (MRA),…

Numerical Analysis · Mathematics 2019-10-14 Pramod Kaushik Mudrakarta , Shubhendu Trivedi , Risi Kondor

Matrix factorization (MF) has been widely used to discover the low-rank structure and to predict the missing entries of data matrix. In many real-world learning systems, the data matrix can be very high-dimensional but sparse. This poses an…

Information Retrieval · Computer Science 2019-01-08 Xiangnan He , Jinhui Tang , Xiaoyu Du , Richang Hong , Tongwei Ren , Tat-Seng Chua

Low-rank representation learning has emerged as a powerful tool for recovering missing values in power load data due to its ability to exploit the inherent low-dimensional structures of spatiotemporal measurements. Among various techniques,…

Machine Learning · Computer Science 2025-06-24 Yan Xia , Hao Feng , Hongwei Sun , Junjie Wang , Qicong Hu

Supervised matrix factorization (SMF) is a classical machine learning method that simultaneously seeks feature extraction and classification tasks, which are not necessarily a priori aligned objectives. Our goal is to use SMF to learn…

Machine Learning · Statistics 2023-11-21 Joowon Lee , Hanbaek Lyu , Weixin Yao

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…

Information Retrieval · Computer Science 2024-06-18 Sajida Mhammedi , Hakim El Massari , Noreddine Gherabi , Amnai Mohamed

This paper proposes a data-adaptive factor model (DAFM), a novel framework for extracting common factors that explain the structures of high-dimensional data. DAFM adopts a composite quantile strategy to adaptively capture the full…

Methodology · Statistics 2025-10-02 Seeun Park , Hee-Seok Oh

In designing personalized ranking algorithms, it is desirable to encourage a high precision at the top of the ranked list. Existing methods either seek a smooth convex surrogate for a non-smooth ranking metric or directly modify updating…

Machine Learning · Statistics 2018-08-15 Kuan Liu , Prem Natarajan

In recent years, large language models (LLMs) have driven advances in natural language processing. Still, their growing scale has increased the computational burden, necessitating a balance between efficiency and performance. Low-rank…

Computation and Language · Computer Science 2025-02-25 Yixin Ji , Yang Xiang , Juntao Li , Qingrong Xia , Zi Ye , Xinyu Duan , Zhefeng Wang , Kehai Chen , Min Zhang

Instance retrieval requires one to search for images that contain a particular object within a large corpus. Recent studies show that using image features generated by pooling convolutional layer feature maps (CFMs) of a pretrained…

Computer Vision and Pattern Recognition · Computer Science 2016-06-23 Jiewei Cao , Lingqiao Liu , Peng Wang , Zi Huang , Chunhua Shen , Heng Tao Shen

Data often comes in the form of an array or matrix. Matrix factorization techniques attempt to recover missing or corrupted entries by assuming that the matrix can be written as the product of two low-rank matrices. In other words, matrix…

Machine Learning · Computer Science 2015-12-16 Gintare Karolina Dziugaite , Daniel M. Roy

Machine learning methods based on AdaBoost have been widely applied to various classification problems across many mission-critical applications including healthcare, law and finance. However, there is a growing concern about the unfairness…

Machine Learning · Computer Science 2024-01-09 Xiaobin Song , Zeyuan Liu , Benben Jiang