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A new algorithm to compute the restricted singular value decomposition of dense matrices is presented. Like Zha's method \cite{Zha92}, the new algorithm uses an implicit Kogbetliantz iteration, but with four major innovations. The first…

Numerical Analysis · Mathematics 2020-02-13 Ian N. Zwaan

Singular Value Decomposition (SVD) is a powerful tool for multivariate analysis. However, independent computation of the SVD for each sample taken from a bandlimited matrix random process will result in singular value sample paths whose…

Statistics Theory · Mathematics 2007-06-13 D. W. Browne , M. W. Browne , M. P. Fitz

In this paper a two-sided, parallel Kogbetliantz-type algorithm for the hyperbolic singular value decomposition (HSVD) of real and complex square matrices is developed, with a single assumption that the input matrix, of order $n$, admits…

Numerical Analysis · Mathematics 2022-05-10 Vedran Novaković , Sanja Singer

Existing collaborative ranking based recommender systems tend to perform best when there is enough observed ratings for each user and the observation is made completely at random. Under this setting recommender systems can properly suggest…

Machine Learning · Computer Science 2015-11-18 Iman Barjasteh , Rana Forsati , Abdol-Hossein Esfahanian , Hayder Radha

Machine learning has recently been widely adopted to address the managerial decision making problems, in which the decision maker needs to be able to interpret the contributions of individual attributes in an explicit form. However, there…

Machine Learning · Computer Science 2019-10-28 Mengzhuo Guo , Qingpeng Zhang , Xiuwu Liao , Frank Youhua Chen , Daniel Dajun Zeng

Recommender systems (RSs) are software tools and algorithms developed to alleviate the problem of information overload, which makes it difficult for a user to make right decisions. Two main paradigms toward the recommendation problem are…

Information Retrieval · Computer Science 2021-05-24 Mehdi Afsar , Trafford Crump , Behrouz Far

Embedding & MLP has become a paradigm for modern large-scale recommendation system. However, this paradigm suffers from the cold-start problem which will seriously compromise the ecological health of recommendation systems. This paper…

Information Retrieval · Computer Science 2022-05-30 Xu Zhao , Yi Ren , Ying Du , Shenzheng Zhang , Nian Wang

Large-scale recommendation systems often adopt cascading architecture consisting of retrieval, pre-ranking, ranking, and re-ranking stages. With strict latency requirements, pre-ranking utilizes lightweight models to perform a preliminary…

Information Retrieval · Computer Science 2025-02-17 Binglei Zhao , Houying Qi , Guang Xu , Mian Ma , Xiwei Zhao , Feng Mei , Sulong Xu , Jinghe Hu

Collaborative filtering (CF) is one of the most popular approaches to build a recommendation system. In this paper, we propose a hybrid collaborative filtering model based on a Makovian random walk to address the data sparsity and cold…

Information Retrieval · Computer Science 2013-05-21 Shang Shang , Sanjeev R. Kulkarni , Paul W. Cuff , Pan Hui

Recommender systems are information retrieval methods that predict user preferences to personalize services. These systems use the feedback and the ratings provided by users to model the behavior of users and to generate recommendations.…

Information Retrieval · Computer Science 2022-03-14 Alireza Gharahighehi , Felipe Kenji Nakano , Celine Vens

The increasing number of applications requiring the solution of large scale singular value problems have rekindled interest in iterative methods for the SVD. Some promising recent ad- vances in large scale iterative methods are still…

Mathematical Software · Computer Science 2017-01-25 Lingfei Wu , Eloy Romero , Andreas Stathopoulos

We propose a unified product embedded representation that is optimized for the task of retrieval-based product recommendation. To this end, we introduce a new way to fuse modality-specific product embeddings into a joint product embedding,…

Information Retrieval · Computer Science 2017-07-19 Thomas Nedelec , Elena Smirnova , Flavian Vasile

We introduce methodology to construct an emulator for environmental and ecological spatio-temporal processes that uses the higher order singular value decomposition (HOSVD) as an extension of singular value decomposition (SVD) approaches to…

Methodology · Statistics 2021-07-14 Giri Gopalan , Christopher K. Wikle

Singular Value Decomposition (SVD) has recently emerged as a new paradigm for processing different types of images. SVD is an attractive algebraic transform for image processing applications. The paper proposes an experimental survey for…

Computer Vision and Pattern Recognition · Computer Science 2012-12-03 Rowayda A. Sadek

Modern data analysis increasingly requires identifying shared latent structure across multiple high-dimensional datasets. A commonly used model assumes that the data matrices are noisy observations of low-rank matrices with a shared…

Machine Learning · Statistics 2025-07-31 Tavor Z. Baharav , Phillip B. Nicol , Rafael A. Irizarry , Rong Ma

The singular value decomposition (SVD) is not only a classical theory in matrix computation and analysis, but also is a powerful tool in machine learning and modern data analysis. In this tutorial we first study the basic notion of SVD and…

Machine Learning · Computer Science 2015-10-30 Zhihua Zhang

We propose a simple yet effective proposal-based object detector, aiming at detecting highly-overlapped instances in crowded scenes. The key of our approach is to let each proposal predict a set of correlated instances rather than a single…

Computer Vision and Pattern Recognition · Computer Science 2020-06-25 Xuangeng Chu , Anlin Zheng , Xiangyu Zhang , Jian Sun

Deep learning provides accurate collaborative filtering models to improve recommender system results. Deep matrix factorization and their related collaborative neural networks are the state-of-art in the field; nevertheless, both models…

Information Retrieval · Computer Science 2021-07-28 Jesús Bobadilla , Fernando Ortega , Abraham Gutiérrez , Ángel González-Prieto

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…

Social and Information Networks · Computer Science 2019-08-23 Georgios Karantaidis , Ioannis Sarridis , Constantine Kotropoulos

Collaborative Filtering aims at exploiting the feedback of users to provide personalised recommendations. Such algorithms look for latent variables in a large sparse matrix of ratings. They can be enhanced by adding side information to…

Information Retrieval · Computer Science 2016-07-20 Florian Strub , Jeremie Mary , Romaric Gaudel