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In this paper, we consider the symmetric multi-type non-negative matrix tri-factorization problem (SNMTF), which attempts to factorize several symmetric non-negative matrices simultaneously. This can be considered as a generalization of the…

Data Structures and Algorithms · Computer Science 2020-12-14 Rok Hribar , Timotej Hrga , Gregor Papa , Gašper Petelin , Janez Povh , Nataša Pržulj , Vida Vukašinović

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

Federated learning (FL) is a promising learning paradigm that can tackle the increasingly prominent isolated data islands problem while keeping users' data locally with privacy and security guarantees. However, FL could result in…

Information Theory · Computer Science 2022-03-30 Peng Yang , Yuning Jiang , Ting Wang , Yong Zhou , Yuanming Shi , Colin N. Jones

Despite their high accuracy, complex neural networks demand significant computational resources, posing challenges for deployment on resource constrained devices such as mobile phones and embedded systems. Compression algorithms have been…

Machine Learning · Computer Science 2025-09-23 Ali Aghababaei-Harandi , Massih-Reza Amini

Count data are often used in recommender systems: they are widespread (song play counts, product purchases, clicks on web pages) and can reveal user preference without any explicit rating from the user. Such data are known to be sparse,…

Information Retrieval · Computer Science 2019-07-10 Olivier Gouvert , Thomas Oberlin , Cédric Févotte

The recent low-rank prior based models solve the tensor completion problem efficiently. However, these models fail to exploit the local patterns of tensors, which compromises the performance of tensor completion. In this paper, we propose a…

Numerical Analysis · Mathematics 2021-04-13 Liyu Su

Recommender systems research has experienced different stages such as from user preference understanding to content analysis. Typical recommendation algorithms were built on the following bases: (1) assuming users and items are IID, namely…

Information Retrieval · Computer Science 2014-12-08 Fangfang Li , Guandong Xu , Longbing Cao

Probabilistic Temporal Tensor Factorization (PTTF) is an effective algorithm to model the temporal tensor data. It leverages a time constraint to capture the evolving properties of tensor data. Nowadays the exploding dataset demands a large…

Machine Learning · Statistics 2016-11-14 Guangxi Li , Zenglin Xu , Linnan Wang , Jinmian Ye , Irwin King , Michael Lyu

Matrix factorization (MF) is a common method for collaborative filtering. MF represents user preferences and item attributes by latent factors. Despite that MF is a powerful method, it suffers from not be able to identifying strong…

Information Retrieval · Computer Science 2021-05-13 Binh Nguyen , Atsuhiro Takasu

A low-latency and energy-efficient tensor algebra accelerator design must optimize how data movement and operations are scheduled (i.e., mapped) in the accelerator architecture. A key mapping optimization is fusion, meaning holding data…

Hardware Architecture · Computer Science 2026-05-05 Tanner Andrulis , Michael Gilbert , Vivienne Sze , Joel S. Emer

Missing data in financial panels presents a critical obstacle, undermining asset-pricing models and reducing the effectiveness of investment strategies. Such panels are often inherently multi-dimensional, spanning firms, time, and financial…

Applications · Statistics 2025-10-09 Junyi Mo , Jiayu Li , Duo Zhang , Elynn Chen

We develop a new collaborative filtering (CF) method that combines both previously known users' preferences, i.e. standard CF, as well as product/user attributes, i.e. classical function approximation, to predict a given user's interest in…

Machine Learning · Computer Science 2007-05-23 Jacob Abernethy , Francis Bach , Theodoros Evgeniou , Jean-Philippe Vert

Low-rank matrix factorization (MF) is an important technique in data science. The key idea of MF is that there exists latent structures in the data, by uncovering which we could obtain a compressed representation of the data. By factorizing…

Numerical Analysis · Computer Science 2016-05-09 Yuan Lu , Jie Yang

In this paper, uniqueness properties of a coupled tensor model are studied. This new coupled tensor model is used in a new method called Partial Coupled Tensor Factorization of 3D marginals or PCTF3D. This method performs estimation of…

Signal Processing · Electrical Eng. & Systems 2025-09-08 Philippe Flores , Konstantin Usevich , David Brie

Tensor factorization has proven useful in a wide range of applications, from sensor array processing to communications, speech and audio signal processing, and machine learning. With few recent exceptions, all tensor factorization…

Numerical Analysis · Computer Science 2015-10-28 Athanasios P. Liavas , Nicholas D. Sidiropoulos

Matrix factorization (MS) is a collaborative filtering (CF) based approach, which is widely used for recommendation systems (RS). In this research work, we deal with the content recommendation problem for users in a content management…

Information Retrieval · Computer Science 2023-01-25 Debashish Roy , Rajarshi Roy Chowdhury , Abdullah Bin Nasser , Afdhal Azmi , Marzieh Babaeianjelodar

Matrix factorization (MF) is a widely used collaborative filtering (CF) algorithm for recommendation systems (RSs), due to its high prediction accuracy, great flexibility and high efficiency in big data processing. However, with the…

Information Retrieval · Computer Science 2026-03-26 Yining Wu , Shengyu Duan , Gaole Sai , Chenhong Cao , Guobing Zou

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

Optimization and Control · Mathematics 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

Coupled tensor decomposition reveals the joint data structure by incorporating priori knowledge that come from the latent coupled factors. The tensor ring (TR) decomposition is invariant under the permutation of tensors with different mode…

Machine Learning · Computer Science 2020-11-10 Huyan Huang , Yipeng Liu , Ce Zhu

Many robotic tasks, such as inverse kinematics, motion planning, and optimal control, can be formulated as optimization problems. Solving these problems involves addressing nonlinear kinematics, complex contact dynamics, long-horizon…

Robotics · Computer Science 2025-09-10 Teng Xue , Yan Zhang , Amirreza Razmjoo , Sylvain Calinon