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In this paper we consider the Nonnegative Matrix Factorization (NMF) problem: given an (elementwise) nonnegative matrix $V \in \R_+^{m\times n}$ find, for assigned $k$, nonnegative matrices $W\in\R_+^{m\times k}$ and $H\in\R_+^{k\times n}$…

Optimization and Control · Mathematics 2007-05-23 Lorenzo Finesso , Peter Spreij

The interpretation of the results of survival analysis often benefits from latent factor representations of baseline covariates. However, existing methods, such as Nonnegative Matrix Factorization (NMF), do not incorporate survival…

Machine Learning · Computer Science 2025-08-26 Paul Fogel , Christophe Geissler , George Luta

We propose a new variant of nonnegative matrix factorization (NMF), combining separability and sparsity assumptions. Separability requires that the columns of the first NMF factor are equal to columns of the input matrix, while sparsity…

Machine Learning · Computer Science 2020-06-16 Nicolas Nadisic , Arnaud Vandaele , Jeremy E. Cohen , Nicolas Gillis

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…

Computer Vision and Pattern Recognition · Computer Science 2023-02-14 Penghao Jiang , Ke Xin , Chunxi Li

Nonnegative matrix factorization (NMF) is a linear dimensionality technique for nonnegative data with applications such as image analysis, text mining, audio source separation and hyperspectral unmixing. Given a data matrix $M$ and a…

Machine Learning · Computer Science 2021-04-14 Junjun Pan , Nicolas Gillis

Non-negative matrix factorization (NMF) is a prob- lem with many applications, ranging from facial recognition to document clustering. However, due to the variety of algorithms that solve NMF, the randomness involved in these algorithms,…

Numerical Analysis · Mathematics 2018-12-17 Connor Sell , Jeremy Kepner

Consistency and complementarity are two key ingredients for boosting multi-view clustering (MVC). Recently with the introduction of popular contrastive learning, the consistency learning of views has been further enhanced in MVC, leading to…

Machine Learning · Computer Science 2024-12-23 Chuanxing Geng , Aiyang Han , Songcan Chen

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…

Applications · Statistics 2022-11-03 Yun Cai , Hong Gu , Toby Kenney

Bilateral filtering (BF) is one of the most classical denoising filters, however, the manually initialized filtering kernel hampers its adaptivity across images with various characteristics. To deal with image variation (i.e.,…

Computer Vision and Pattern Recognition · Computer Science 2019-12-24 Feihong Liu , Jun Feng , Pew-Thian Yap , Dinggang Shen

In this paper, we address the problem of novel class discovery (NCD), which aims to cluster novel classes by leveraging knowledge from disjoint known classes. While recent advances have made significant progress in this area, existing NCD…

Computer Vision and Pattern Recognition · Computer Science 2025-07-17 Xinhang Wan , Jiyuan Liu , Qian Qu , Suyuan Liu , Chuyu Zhang , Fangdi Wang , Xinwang Liu , En Zhu , Kunlun He

Non-negative matrix factorization (NMF) is a natural model of admixture and is widely used in science and engineering. A plethora of algorithms have been developed to tackle NMF, but due to the non-convex nature of the problem, there is…

Machine Learning · Computer Science 2015-07-09 Rong Ge , James Zou

Ideas from the image processing literature have recently motivated a new set of clustering algorithms that rely on the concept of total variation. While these algorithms perform well for bi-partitioning tasks, their recursive extensions…

Machine Learning · Statistics 2013-06-06 Xavier Bresson , Thomas Laurent , David Uminsky , James H. von Brecht

Co-clustering targets on grouping the samples (e.g., documents, users) and the features (e.g., words, ratings) simultaneously. It employs the dual relation and the bilateral information between the samples and features. In many realworld…

Machine Learning · Computer Science 2016-11-18 Ping Li , Jiajun Bu , Chun Chen , Zhanying He , Deng Cai

Graph clustering is a fundamental and challenging learning task, which is conventionally approached by grouping similar vertices based on edge structure and feature similarity.In contrast to previous methods, in this paper, we investigate…

Machine Learning · Computer Science 2024-08-13 Zhixuan Duan , Zuo Wang , Fanghui Bi

Non-negative matrix factorization (NMF) is a key technique for feature extraction and widely used in source separation. However, existing algorithms may converge to poor local minima, or to one of several minima with similar objective value…

Machine Learning · Computer Science 2024-10-30 Youdong Guo , Timothy E. Holy

Hierarchical clustering recursively partitions data at an increasingly finer granularity. In real-world applications, multi-view data have become increasingly important. This raises a less investigated problem, i.e., multi-view hierarchical…

Machine Learning · Computer Science 2022-05-06 Fangfei Lin , Bing Bai , Kun Bai , Yazhou Ren , Peng Zhao , Zenglin Xu

Unsupervised disentangled representation learning is a long-standing problem in computer vision. This work proposes a novel framework for performing image clustering from deep embeddings by combining instance-level contrastive learning with…

Machine Learning · Computer Science 2021-10-05 Ramakrishnan Sundareswaran , Jansel Herrera-Gerena , John Just , Ali Jannesari

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…

Machine Learning · Computer Science 2021-02-08 Imtiaz Ahmed , Xia Ben Hu , Mithun P. Acharya , Yu Ding

Existing multi-stage clustering methods independently learn the salient features from multiple views and then perform the clustering task. Particularly, multi-view clustering (MVC) has attracted a lot of attention in multi-view or…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Jiatai Wang , Zhiwei Xu , Xin Wang , Tao Li

With the advancements in computing technology and web-based applications, data is increasingly generated in multi-dimensional form. This data is usually sparse due to the presence of a large number of users and fewer user interactions. To…

Machine Learning · Computer Science 2020-03-10 Thirunavukarasu Balasubramaniam , Richi Nayak , Chau Yuen
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