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We show how to incorporate information from labeled examples into nonnegative matrix factorization (NMF), a popular unsupervised learning algorithm for dimensionality reduction. In addition to mapping the data into a space of lower…

机器学习 · 计算机科学 2011-12-19 Youngmin Cho , Lawrence K. Saul

Concept Factorization (CF), as a novel paradigm of representation learning, has demonstrated superior performance in multi-view clustering tasks. It overcomes limitations such as the non-negativity constraint imposed by traditional matrix…

机器学习 · 计算机科学 2023-07-04 Qi Jiang , Guoxu Zhou , Qibin Zhao

Multi-view clustering is an important yet challenging task in machine learning and data mining community. One popular strategy for multi-view clustering is matrix factorization which could explore useful feature representations at…

机器学习 · 计算机科学 2021-05-04 Chen Zhang , Siwei Wang , Wenxuan Tu , Pei Zhang , Xinwang Liu , Changwang Zhang , Bo Yuan

In recent years, semi-supervised multi-view nonnegative matrix factorization (MVNMF) algorithms have achieved promising performances for multi-view clustering. While most of semi-supervised MVNMFs have failed to effectively consider…

机器学习 · 计算机科学 2020-10-27 Guosheng Cui , Ruxin Wang , Dan Wu , Ye Li

Learning by integrating multiple heterogeneous data sources is a common requirement in many tasks. Collective Matrix Factorization (CMF) is a technique to learn shared latent representations from arbitrary collections of matrices. It can be…

机器学习 · 计算机科学 2021-09-29 Ragunathan Mariappan , Vaibhav Rajan

Semi-Non-negative Matrix Factorization is a technique that learns a low-dimensional representation of a dataset that lends itself to a clustering interpretation. It is possible that the mapping between this new representation and our…

计算机视觉与模式识别 · 计算机科学 2015-09-11 George Trigeorgis , Konstantinos Bousmalis , Stefanos Zafeiriou , Bjoern W. Schuller

Semi-supervised symmetric non-negative matrix factorization (SNMF) utilizes the available supervisory information (usually in the form of pairwise constraints) to improve the clustering ability of SNMF. The previous methods introduce the…

机器学习 · 计算机科学 2024-10-29 Yuheng Jia , Jia-Nan Li , Wenhui Wu , Ran Wang

While neural networks for learning representation of multi-view data have been previously proposed as one of the state-of-the-art multi-view dimension reduction techniques, how to make the representation discriminative with only a small…

机器学习 · 计算机科学 2018-11-13 Vahid Noroozi , Sara Bahaadini , Lei Zheng , Sihong Xie , Weixiang Shao , Philip S. Yu

Positive semidefinite matrix factorization (PSDMF) expresses each entry of a nonnegative matrix as the inner product of two positive semidefinite (psd) matrices. When all these psd matrices are constrained to be diagonal, this model is…

信号处理 · 电气工程与系统科学 2021-07-07 Dana Lahat , Yanbin Lang , Vincent Y. F. Tan , Cédric Févotte

We propose new semi-supervised nonnegative matrix factorization (SSNMF) models for document classification and provide motivation for these models as maximum likelihood estimators. The proposed SSNMF models simultaneously provide both a…

Clustering on the data with multiple aspects, such as multi-view or multi-type relational data, has become popular in recent years due to their wide applicability. The approach using manifold learning with the Non-negative Matrix…

机器学习 · 计算机科学 2020-09-08 Khanh Luong , Richi Nayak

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

We introduce the federated multi-view matrix factorization method that extends the federated learning framework to matrix factorization with multiple data sources. Our method is able to learn the multi-view model without transferring the…

This paper studies the data sparsity problem in multi-view learning. To solve data sparsity problem in multiview ratings, we propose a generic architecture of deep transfer tensor factorization (DTTF) by integrating deep learning and…

计算机视觉与模式识别 · 计算机科学 2023-02-14 Penghao Jiang , Ke Xin , Chunxi Li

Matrix factorization (MF), a cornerstone of recommender systems, decomposes user-item interaction matrices into latent representations. Traditional MF approaches, however, employ a two-stage, non-end-to-end paradigm, sequentially performing…

信息检索 · 计算机科学 2025-04-22 Shangde Gao , Ke Liu , Yichao Fu , Hongxia Xu , Jian Wu

Learning multi-view data is an emerging problem in machine learning research, and nonnegative matrix factorization (NMF) is a popular dimensionality-reduction method for integrating information from multiple views. These views often provide…

机器学习 · 统计学 2023-04-26 Shuo Shuo Liu , Lin Lin

Constrained low-rank matrix approximations have been known for decades as powerful linear dimensionality reduction techniques to be able to extract the information contained in large data sets in a relevant way. However, such low-rank…

机器学习 · 计算机科学 2021-12-20 Pierre De Handschutter , Nicolas Gillis , Xavier Siebert

Multi-view high-dimensional data become increasingly popular in the big data era. Feature selection is a useful technique for alleviating the curse of dimensionality in multi-view learning. In this paper, we study unsupervised feature…

机器学习 · 计算机科学 2017-05-03 Xiaokai Wei , Bokai Cao , Philip S. Yu

Multi-view clustering (MVC) has been extensively studied to collect multiple source information in recent years. One typical type of MVC methods is based on matrix factorization to effectively perform dimension reduction and clustering.…

机器学习 · 计算机科学 2021-05-11 Chen Zhang , Siwei Wang , Jiyuan Liu , Sihang Zhou , Pei Zhang , Xinwang Liu , En Zhu , Changwang Zhang

In recent years, a number of methods have been developed for the dimension reduction and decomposition of multiple linked high-content data matrices. Typically these methods assume that just one dimension, rows or columns, is shared among…

统计方法学 · 统计学 2020-02-10 Michael J. O'Connell , Eric F. Lock
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