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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…

Crowdsourcing platforms offer a practical solution to the problem of affordably annotating large datasets for training supervised classifiers. Unfortunately, poor worker performance frequently threatens to compromise annotation reliability,…

机器学习 · 计算机科学 2014-01-17 Liyue Zhao , Yu Zhang , Gita Sukthankar

Classification and topic modeling are popular techniques in machine learning that extract information from large-scale datasets. By incorporating a priori information such as labels or important features, methods have been developed to…

机器学习 · 计算机科学 2022-02-01 Pengyu Li , Christine Tseng , Yaxuan Zheng , Joyce A. Chew , Longxiu Huang , Benjamin Jarman , Deanna Needell

Given a symmetric nonnegative matrix $A$, symmetric nonnegative matrix factorization (symNMF) is the problem of finding a nonnegative matrix $H$, usually with much fewer columns than $A$, such that $A \approx HH^T$. SymNMF can be used for…

数值分析 · 计算机科学 2016-10-07 Arnaud Vandaele , Nicolas Gillis , Qi Lei , Kai Zhong , Inderjit Dhillon

Annotation quality and quantity positively affect the learning performance of sequence labeling, a vital task in Natural Language Processing. Hiring domain experts to annotate a corpus is very costly in terms of money and time.…

人机交互 · 计算机科学 2023-07-04 Nasim Sabetpour , Adithya Kulkarni , Sihong Xie , Qi Li

Nonnegative matrix factorization (NMF), which is the approximation of a data matrix as the product of two nonnegative matrices, is a key issue in machine learning and data analysis. One approach to NMF is to formulate the problem as a…

最优化与控制 · 数学 2016-11-02 Hideaki Iiduka , Shizuka Nishino

Current collaborative perception methods often rely on fully annotated datasets, which can be expensive to obtain in practical situations. To reduce annotation costs, some works adopt sparsely supervised learning techniques and generate…

计算机视觉与模式识别 · 计算机科学 2025-03-19 Yushan Han , Hui Zhang , Honglei Zhang , Jing Wang , Yidong Li

Factor analysis is broadly used as a powerful unsupervised machine learning tool for reconstruction of hidden features in recorded mixtures of signals. In the case of a linear approximation, the mixtures can be decomposed by a variety of…

机器学习 · 计算机科学 2018-03-28 Filip L. Iliev , Valentin G. Stanev , Velimir V. Vesselinov , Boian S. Alexandrov

Crowdsourcing is a strategy to categorize data through the contribution of many individuals. A wide range of theoretical and algorithmic contributions are based on the model of Dawid and Skene [1]. Recently it was shown in [2,3] that, in…

机器学习 · 统计学 2020-04-02 Christian Schmidt , Lenka Zdeborová

Inthischapterwediscusshowtolearnanoptimalmanifoldpresentationto regularize nonegative matrix factorization (NMF) for data representation problems. NMF,whichtriestorepresentanonnegativedatamatrixasaproductoftwolowrank nonnegative matrices,…

机器学习 · 计算机科学 2014-10-09 Jim Jing-Yan Wang , Xin Gao

Non-Negative Matrix Factorization, NMF, attempts to find a number of archetypal response profiles, or parts, such that any sample profile in the dataset can be approximated by a close profile among these archetypes or a linear combination…

应用统计 · 统计学 2013-12-19 Paul Fogel

Non-negative matrix factorization (NMF) has previously been shown to be a useful decomposition for multivariate data. We interpret the factorization in a new way and use it to generate missing attributes from test data. We provide a joint…

数值分析 · 计算机科学 2010-07-05 Mithun Das Gupta

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

We consider the problem of regularized Poisson Non-negative Matrix Factorization (NMF) problem, encompassing various regularization terms such as Lipschitz and relatively smooth functions, alongside linear constraints. This problem holds…

机器学习 · 计算机科学 2024-04-26 Nathanaël Perraudin , Adrien Teutrie , Cécile Hébert , Guillaume Obozinski

Non-negative matrix factorization (NMF) has proved effective in many clustering and classification tasks. The classic ways to measure the errors between the original and the reconstructed matrix are $l_2$ distance or Kullback-Leibler (KL)…

计算机视觉与模式识别 · 计算机科学 2014-05-12 Le Li , Jianjun Yang , Kaili Zhao , Yang Xu , Honggang Zhang , Zhuoyi Fan

It is more and more common to explore the genome at diverse levels and not only at a single omic level. Through integrative statistical methods, omics data have the power to reveal new biological processes, potential biomarkers, and…

统计方法学 · 统计学 2021-03-05 Morgane Pierre-Jean , Florence Mauger , Jean-François Deleuze , Edith Le Floch

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 problem of estimating subjective visual properties (SVP) of images (e.g., Shoes A is more comfortable than B) is gaining rising attention. Due to its highly subjective nature, different annotators often exhibit different interpretations…

计算机视觉与模式识别 · 计算机科学 2019-03-12 Qianqian Xu , Zhiyong Yang , Yangbangyan Jiang , Xiaochun Cao , Qingming Huang , Yuan Yao

Referring back to the original text in the course of hierarchical learning is a common human trait that ensures the right direction of learning. The models developed based on the concept of Non-negative Matrix Factorization (NMF), in this…

机器学习 · 计算机科学 2024-05-24 Prasun Dutta , Rajat K. De

Various Non-negative Matrix factorization (NMF) based methods add new terms to the cost function to adapt the model to specific tasks, such as clustering, or to preserve some structural properties in the reduced space (e.g., local…

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