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In computer vision, the estimation of the fundamental matrix is a basic problem that has been extensively studied. The accuracy of the estimation imposes a significant influence on subsequent tasks such as the camera trajectory…

计算机视觉与模式识别 · 计算机科学 2015-04-15 Hao Wu , Yi Wan

We present the development of a new algorithm which combines state-of-the-art energy-dispersive X-ray (EDX) spectroscopy theory and a suitable machine learning formulation for the hyperspectral unmixing of scanning transmission electron…

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

Nonnegative matrix factorization (NMF) has become a very popular technique in machine learning because it automatically extracts meaningful features through a sparse and part-based representation. However, NMF has the drawback of being…

机器学习 · 统计学 2012-12-07 Nicolas Gillis

We consider the problem of accurately and efficiently querying a remote server to retrieve information about images captured by a mobile device. In addition to reduced transmission overhead and computational complexity, the retrieval…

计算机视觉与模式识别 · 计算机科学 2016-05-10 Jacob Chakareski , Immanuel Manohar , Shantanu Rane

Non-negative matrix factorization (NMF) is one of the most popular decomposition techniques for multivariate data. NMF is a core method for many machine-learning related computational problems, such as data compression, feature extraction,…

数值分析 · 计算机科学 2017-12-07 Gabriele Torre , Michael Graber

Nonnegative matrix factorization (NMF) has an established reputation as a useful data analysis technique in numerous applications. However, its usage in practical situations is undergoing challenges in recent years. The fundamental factor…

机器学习 · 计算机科学 2016-05-04 Mariano Tepper , Guillermo Sapiro

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

Unsupervised machine learning is one of the main techniques employed in artificial intelligence. We introduce an algorithm for quantum-assisted unsupervised data clustering using the self-organizing feature map, a type of artificial neural…

量子物理 · 物理学 2025-01-13 Ilia D. Lazarev , Marek Narozniak , Tim Byrnes , Alexey N. Pyrkov

This paper provides a theoretical support for clustering aspect of the nonnegative matrix factorization (NMF). By utilizing the Karush-Kuhn-Tucker optimality conditions, we show that NMF objective is equivalent to graph clustering…

机器学习 · 计算机科学 2011-12-20 Andri Mirzal

The symmetric Nonnegative Matrix Factorization (NMF), a special but important class of the general NMF, has found numerous applications in data analysis such as various clustering tasks. Unfortunately, designing fast algorithms for the…

机器学习 · 计算机科学 2023-01-26 Xiao Li , Zhihui Zhu , Qiuwei Li , Kai Liu

Non-negative Matrix Factorization (NMF) has proven to be a powerful unsupervised learning method for uncovering hidden features in complex and noisy data sets with applications in data mining, text recognition, dimension reduction, face…

This paper concerns the critical decision process of extracting or selecting the features before applying a clustering algorithm. It is not obvious to evaluate the importance of the features since the most popular methods to do it are…

机器学习 · 计算机科学 2021-11-23 Jean-Sebastien Dessureault , Daniel Massicotte

This paper provides a theoretical explanation on the clustering aspect of nonnegative matrix factorization (NMF). We prove that even without imposing orthogonality nor sparsity constraint on the basis and/or coefficient matrix, NMF still…

机器学习 · 计算机科学 2010-06-15 Andri Mirzal , Masashi Furukawa

Non-negative matrix factorization (NMF) is a popular unsupervised learning approach widely used in image clustering. However, in real-world clustering scenarios, most existing NMF methods are highly sensitive to noise corruption and are…

计算机视觉与模式识别 · 计算机科学 2025-05-01 Jingjing Liu , Nian Wu , Xianchao Xiu , Jianhua Zhang

Unsupervised machine learning offers significant opportunities for extracting knowledge from unlabeled data sets and for achieving maximum machine learning performance. This paper demonstrates how to construct, use, and evaluate a high…

材料科学 · 物理学 2021-04-13 Ryan Cohn , Elizabeth Holm

Analyzing large X-ray diffraction (XRD) datasets is a key step in high-throughput mapping of the compositional phase diagrams of combinatorial materials libraries. Optimizing and automating this task can help accelerate the process of…

This paper presents a comprehensive comparative analysis of prominent clustering algorithms K-means, DBSCAN, and Spectral Clustering on high-dimensional datasets. We introduce a novel evaluation framework that assesses clustering…

机器学习 · 计算机科学 2025-07-31 Vishnu Vardhan Baligodugula , Fathi Amsaad

Recently, deep matrix factorization has been established as a powerful model for unsupervised tasks, achieving promising results, especially for multi-view clustering. However, existing methods often lack effective feature selection…

机器学习 · 统计学 2024-12-04 Yasser Khalafaoui , Basarab Matei , Martino Lovisetto , Nistor Grozavu

Nonnegative matrix factorization (NMF) seeks a low-rank approximation $X \approx UV^T$ with nonnegative factors and is commonly solved using interior methods that enforce feasibility throughout optimization. We show that such…

机器学习 · 计算机科学 2026-05-20 Qiujing Lu , Tonmoy Monsoor , Ehsan Ebrahimzadeh , Kartik Sharma , Vwani Roychowdhury