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Non-negative matrix factorization (NMF) is the problem of determining two non-negative low rank factors $W$ and $H$, for the given input matrix $A$, such that $A \approx W H$. NMF is a useful tool for many applications in different domains…

分布式、并行与集群计算 · 计算机科学 2015-10-01 Ramakrishnan Kannan , Grey Ballard , Haesun Park

We show how deep learning methods can be applied in the context of crowdsourcing and unsupervised ensemble learning. First, we prove that the popular model of Dawid and Skene, which assumes that all classifiers are conditionally…

机器学习 · 统计学 2017-04-24 Uri Shaham , Xiuyuan Cheng , Omer Dror , Ariel Jaffe , Boaz Nadler , Joseph Chang , Yuval Kluger

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

Non-negative matrix factorization (NMF) is a fundamental non-convex optimization problem with numerous applications in Machine Learning (music analysis, document clustering, speech-source separation etc). Despite having received extensive…

机器学习 · 计算机科学 2020-03-20 Ioannis Panageas , Stratis Skoulakis , Antonios Varvitsiotis , Xiao Wang

Supervised learning depends on annotated examples, which are taken to be the \emph{ground truth}. But these labels often come from noisy crowdsourcing platforms, like Amazon Mechanical Turk. Practitioners typically collect multiple labels…

机器学习 · 计算机科学 2018-05-22 Ashish Khetan , Zachary C. Lipton , Anima Anandkumar

One of the primary catalysts fueling advances in artificial intelligence (AI) and machine learning (ML) is the availability of massive, curated datasets. A commonly used technique to curate such massive datasets is crowdsourcing, where data…

信号处理 · 电气工程与系统科学 2025-07-04 Shahana Ibrahim , Panagiotis A. Traganitis , Xiao Fu , Georgios B. Giannakis

Despite its successes in various machine learning and data science tasks, crowdsourcing can be susceptible to attacks from dedicated adversaries. This work investigates the effects of adversaries on crowdsourced classification, under the…

机器学习 · 计算机科学 2021-10-11 Panagiotis A. Traganitis , Georgios B. Giannakis

Nonnegative matrix factorization (NMF) has become a workhorse for signal and data analytics, triggered by its model parsimony and interpretability. Perhaps a bit surprisingly, the understanding to its model identifiability---the major…

信号处理 · 电气工程与系统科学 2019-03-27 Xiao Fu , Kejun Huang , Nicholas D. Sidiropoulos , Wing-Kin Ma

Traditional supervised learning requires ground truth labels for the training data, whose collection can be difficult in many cases. Recently, crowdsourcing has established itself as an efficient labeling solution through resorting to…

机器学习 · 计算机科学 2021-07-13 Ye Shi , Shao-Yuan Li , Sheng-Jun Huang

In this paper, we propose a provably correct algorithm for convolutive nonnegative matrix factorization (CNMF) under separability assumptions. CNMF is a convolutive variant of nonnegative matrix factorization (NMF), which functions as an…

机器学习 · 计算机科学 2019-11-15 Anthony Degleris , Nicolas Gillis

Non-negative matrix factorization (NMF) is widely used for dimensionality reduction and interpretable analysis, but standard formulations are unsupervised and cannot directly exploit class labels. Existing supervised or semi-supervised…

机器学习 · 计算机科学 2025-10-14 Kenichi Satoh

Nonnegative matrix factorization (NMF) often relies on the separability condition for tractable algorithm design. Separability-based NMF is mainly handled by two types of approaches, namely, greedy pursuit and convex programming. A notable…

信号处理 · 电气工程与系统科学 2022-07-20 Tri Nguyen , Xiao Fu , Ruiyuan Wu

Recently, nonnegative matrix factorization (NMF) has been widely adopted for community detection, because of its better interpretability. However, the existing NMF-based methods have the following three problems: 1) they directly transform…

机器学习 · 计算机科学 2024-02-15 Yuecheng Li , Jialong Chen , Chuan Chen , Lei Yang , Zibin Zheng

Labeling visual data is expensive and time-consuming. Crowdsourcing systems promise to enable highly parallelizable annotations through the participation of monetarily or otherwise motivated workers, but even this approach has its limits.…

人机交互 · 计算机科学 2024-09-04 Christopher Klugmann , Rafid Mahmood , Guruprasad Hegde , Amit Kale , Daniel Kondermann

Nonnegative matrix factorization (NMF) is a known unsupervised data-reduction method. The principle of the common cause (PCC) is a basic methodological approach in probabilistic causality, which seeks an independent mixture model for the…

机器学习 · 计算机科学 2025-09-09 E. Khalafyan , A. E. Allahverdyan , A. Hovhannisyan

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…

机器学习 · 计算机科学 2020-06-16 Nicolas Nadisic , Arnaud Vandaele , Jeremy E. Cohen , Nicolas Gillis

While label fusion from multiple noisy annotations is a well understood concept in data wrangling (tackled for example by the Dawid-Skene (DS) model), we consider the extended problem of carrying out learning when the labels themselves are…

机器学习 · 统计学 2020-08-10 Michael P. J. Camilleri , Christopher K. I. Williams

This paper introduces a novel crowdsourcing worker selection algorithm, enhancing annotation quality and reducing costs. Unlike previous studies targeting simpler tasks, this study contends with the complexities of label interdependencies…

计算与语言 · 计算机科学 2024-07-30 Yujie Wang , Chao Huang , Liner Yang , Zhixuan Fang , Yaping Huang , Yang Liu , Jingsi Yu , Erhong Yang

Annotated images are required for both supervised model training and evaluation in image classification. Manually annotating images is arduous and expensive, especially for multi-labeled images. A recent trend for conducting such laboursome…

计算机视觉与模式识别 · 计算机科学 2022-12-07 Jianzhe Lin , Tianze Yu , Z. Jane Wang

Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for analyzing nonnegative data. A key aspect of NMF is the choice of the objective function that depends on the noise model (or statistics of the noise)…

机器学习 · 计算机科学 2021-02-10 Nicolas Gillis , Le Thi Khanh Hien , Valentin Leplat , Vincent Y. F. Tan