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Missing link prediction is a method for network analysis, with applications in recommender systems, biology, social sciences, cybersecurity, information retrieval, and Artificial Intelligence (AI) reasoning in Knowledge Graphs. Missing link…

Sparse matrix factorization is a popular tool to obtain interpretable data decompositions, which are also effective to perform data completion or denoising. Its applicability to large datasets has been addressed with online and randomized…

机器学习 · 统计学 2017-11-15 Arthur Mensch , Julien Mairal , Bertrand Thirion , Gaël Varoquaux

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,…

最优化与控制 · 数学 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

Deep matrix factorizations (deep MFs) are recent unsupervised data mining techniques inspired by constrained low-rank approximations. They aim to extract complex hierarchies of features within high-dimensional datasets. Most of the loss…

机器学习 · 计算机科学 2023-01-26 Pierre De Handschutter , Nicolas Gillis

Non-negative matrix factorization (NMF) is a common method for generating topic models from text data. NMF is widely accepted for producing good results despite its relative simplicity of implementation and ease of computation. One…

机器学习 · 计算机科学 2016-08-09 Brendan Gavin , Vijay Gadepally , Jeremy Kepner

Nonnegative matrix factorization (NMF) is widely used for clustering with strong interpretability. Among general NMF problems, symmetric NMF is a special one that plays an important role in graph clustering where each element measures the…

机器学习 · 计算机科学 2023-11-07 Mengyuan Zhang , Kai Liu

The Optimal Power Flow (OPF) problem is integral to the functioning of power systems, aiming to optimize generation dispatch while adhering to technical and operational constraints. These constraints are far from straightforward; they…

机器学习 · 计算机科学 2023-10-10 Andrew Rosemberg , Mathieu Tanneau , Bruno Fanzeres , Joaquim Garcia , Pascal Van Hentenryck

Nonnegative matrix factorization (NMF) is a powerful class of feature extraction techniques that has been successfully applied in many fields, namely in signal and image processing. Current NMF techniques have been limited to a…

机器学习 · 统计学 2015-01-26 Paul Honeine , Fei Zhu

Non-negative matrix factorization (NMF) is a recently developed technique for finding parts-based, linear representations of non-negative data. Although it has successfully been applied in several applications, it does not always result in…

机器学习 · 计算机科学 2007-05-23 Patrik O. Hoyer

Nonnegative Matrix Factorization(NMF) is a common used technique in machine learning to extract features out of data such as text documents and images thanks to its natural clustering properties. In particular, it is popular in image…

计算机视觉与模式识别 · 计算机科学 2016-08-05 Giovanni Barbarino

Nonnegative Matrix Factorization (NMF) is a fundamental tool in unsupervised learning, widely used for tasks such as dimensionality reduction, feature extraction, representation learning, and topic modeling. Many algorithms have been…

最优化与控制 · 数学 2025-06-19 Mai-Quyen Pham , Jérémy Cohen , Thierry Chonavel

Multiresolution Matrix Factorization (MMF) is unusual amongst fast matrix factorization algorithms in that it does not make a low rank assumption. This makes MMF especially well suited to modeling certain types of graphs with complex…

机器学习 · 计算机科学 2021-11-04 Truong Son Hy , Risi Kondor

Deep learning models have become state of the art for natural language processing (NLP) tasks, however deploying these models in production system poses significant memory constraints. Existing compression methods are either lossy or…

机器学习 · 计算机科学 2018-11-05 Anish Acharya , Rahul Goel , Angeliki Metallinou , Inderjit Dhillon

Symmetric nonnegative matrix factorization (symNMF) is a variant of nonnegative matrix factorization (NMF) that allows to handle symmetric input matrices and has been shown to be particularly well suited for clustering tasks. In this paper,…

数值分析 · 数学 2020-03-11 François Moutier , Arnaud Vandaele , Nicolas Gillis

In several applications of online optimization to networked systems such as power grids and robotic networks, information about the system model and its disturbances is not generally available. Within the optimization community, increasing…

最优化与控制 · 数学 2025-09-01 Caio Kalil Lauand , Andrey Bernstein

Matrix factorization (MF) is a simple collaborative filtering technique that achieves superior recommendation accuracy by decomposing the user-item interaction matrix into user and item latent matrices. Because the model typically learns…

信息检索 · 计算机科学 2024-03-11 Kai Sugahara , Kazushi Okamoto

Non-negative Matrix Factorization (NMF) asks to decompose a (entry-wise) non-negative matrix into the product of two smaller-sized nonnegative matrices, which has been shown intractable in general. In order to overcome this issue, the…

数据结构与算法 · 计算机科学 2019-07-15 Zhihuai Chen , Yinan Li , Xiaoming Sun , Pei Yuan , Jialin Zhang

Online map matching is a fundamental problem in location-based services, aiming to incrementally match trajectory data step-by-step onto a road network. However, existing methods fail to meet the needs for efficiency, robustness, and…

机器学习 · 计算机科学 2025-03-21 Minxiao Chen , Haitao Yuan , Nan Jiang , Zhihan Zheng , Sai Wu , Ao Zhou , Shangguang Wang

The relationships between objects in a network are typically diverse and complex, leading to the heterogeneous edges with different semantic information. In this paper, we focus on exploring the heterogeneous edges for network…

社会与信息网络 · 计算机科学 2021-10-22 Hong Huang , Yu Song , Fanghua Ye , Xing Xie , Xuanhua Shi , Hai Jin

Fault detection and isolation in water distribution networks is an active topic due to its model's mathematical complexity and increased data availability through sensor placement. Here we simplify the model by offering a data driven…

系统与控制 · 电气工程与系统科学 2020-09-08 Paul Irofti , Florin Stoican , Vicenç Puig