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Nonnegative matrix factorization (NMF) has been widely used to learn low-dimensional representations of data. However, NMF pays the same attention to all attributes of a data point, which inevitably leads to inaccurate representation. For…

机器学习 · 计算机科学 2021-11-30 Jiao Wei , Can Tong , Bingxue Wu , Qiang He , Shouliang Qi , Yudong Yao , Yueyang Teng

Network embedding is a highly effective method to learn low-dimensional node vector representations with original network structures being well preserved. However, existing network embedding algorithms are mostly developed for a single…

社会与信息网络 · 计算机科学 2021-05-06 Xiao Shen , Quanyu Dai , Sitong Mao , Fu-lai Chung , Kup-Sze Choi

Non-negative Matrix Factorization (NMF) methods offer an appealing unsupervised learning method for real-time analysis of streaming spectral data in time-sensitive data collection, such as $\textit{in situ}$ characterization of materials.…

应用物理 · 物理学 2024-06-12 Phillip M. Maffettone , Aidan C. Daly , Daniel Olds

The Nonnegative Matrix Factorization (NMF) of the rating matrix has shown to be an effective method to tackle the recommendation problem. In this paper we propose new methods based on the NMF of the rating matrix and we compare them with…

机器学习 · 计算机科学 2019-08-30 Gianna M. Del Corso , Francesco Romani

Dimensionality reduction is considered as an important step for ensuring competitive performance in unsupervised learning such as anomaly detection. Non-negative matrix factorization (NMF) is a popular and widely used method to accomplish…

机器学习 · 计算机科学 2021-02-08 Imtiaz Ahmed , Xia Ben Hu , Mithun P. Acharya , Yu Ding

Graph embedding is a transformation of nodes of a network into a set of vectors. A good embedding should capture the underlying graph topology and structure, node-to-node relationship, and other relevant information about the graph, its…

社会与信息网络 · 计算机科学 2021-12-02 Bogumił Kamiński , Łukasz Kraiński , Paweł Prałat , François Théberge

Non-Negative Matrix Factorization (NMF) is a widely used dimension reduction method that factorizes a non-negative data matrix into two lower dimensional non-negative matrices: One is the basis or feature matrix which consists of the…

应用统计 · 统计学 2022-11-03 Yun Cai , Hong Gu , Toby Kenney

Nonnegative matrix factorization (NMF) has become a widely used tool for the analysis of high-dimensional data as it automatically extracts sparse and meaningful features from a set of nonnegative data vectors. We first illustrate this…

机器学习 · 统计学 2014-12-10 Nicolas Gillis

Real-world social networks and digital platforms are comprised of individuals (nodes) that are linked to other individuals or entities through multiple types of relationships (links). Sub-networks of such a network based on each type of…

机器学习 · 计算机科学 2019-02-19 Yiwei Sun , Ngot Bui , Tsung-Yu Hsieh , Vasant Honavar

We present Supervised Deep Multimodal Matrix Factorization (SD3MF), an interpretable framework for integrative brain network analysis that generalizes Symmetric Nonnegative Matrix Tri-Factorization (SNMTF) from unsupervised single-graph…

机器学习 · 计算机科学 2026-05-14 Amjad Seyedi , Lifang He , Songlin Zhao , Akwum Onwunta , Nicolas Gillis

Network embeddings, which learn low-dimensional representations for each vertex in a large-scale network, have received considerable attention in recent years. For a wide range of applications, vertices in a network are typically…

计算与语言 · 计算机科学 2018-08-30 Dinghan Shen , Xinyuan Zhang , Ricardo Henao , Lawrence Carin

Traditional Collaborative Filtering (CF) based methods are applied to understand the personal preferences of users/customers for items or products from the rating matrix. Usually, the rating matrix is sparse in nature. So there are some…

信息检索 · 计算机科学 2022-10-12 Supriyo Mandal , Abyayananda Maiti

Community is a fundamental and critical characteristic of an undirected social network, making community detection be a vital yet thorny issue in network representation learning. A symmetric and non-negative matrix factorization (SNMF)…

社会与信息网络 · 计算机科学 2023-02-24 Zhigang Liu , Xin Luo

Network embedding assigns nodes in a network to low-dimensional representations and effectively preserves the network structure. Recently, a significant amount of progresses have been made toward this emerging network analysis paradigm. In…

社会与信息网络 · 计算机科学 2017-11-27 Peng Cui , Xiao Wang , Jian Pei , Wenwu Zhu

Network embedding has attracted an increasing attention over the past few years. As an effective approach to solve graph mining problems, network embedding aims to learn a low-dimensional feature vector representation for each node of a…

社会与信息网络 · 计算机科学 2020-08-10 Xiao Shen , Fu-Lai Chung

The network embedding task is to represent the node in the network as a low-dimensional vector while incorporating the topological and structural information. Most existing approaches solve this problem by factorizing a proximity matrix,…

机器学习 · 计算机科学 2022-09-01 Yuchen Liang , Dmitry Krotov , Mohammed J. Zaki

Nonnegative matrix factorization is a powerful technique to realize dimension reduction and pattern recognition through single-layer data representation learning. Deep learning, however, with its carefully designed hierarchical structure,…

计算机视觉与模式识别 · 计算机科学 2017-07-31 Zhenxing Guo , Shihua Zhang

Transfer learning for feature extraction can be used to exploit deep representations in contexts where there is very few training data, where there are limited computational resources, or when tuning the hyper-parameters needed for training…

In this paper, we propose a new Semi-Nonnegative Matrix Factorization method for 2-dimensional (2D) data, named TS-NMF. It overcomes the drawback of existing methods that seriously damage the spatial information of the data by converting 2D…

机器学习 · 计算机科学 2020-05-20 Chong Peng , Zhilu Zhang , Zhao Kang , Chenglizhao Chen , Qiang Cheng

An embedding is a mapping from a set of nodes of a network into a real vector space. Embeddings can have various aims like capturing the underlying graph topology and structure, node-to-node relationship, or other relevant information about…

机器学习 · 计算机科学 2023-06-21 Ashkan Dehghan , Kinga Siuta , Agata Skorupka , Andrei Betlen , David Miller , Bogumil Kaminski , Pawel Pralat