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Mutational signatures are patterns of somatic mutations in tumor genomes that provide insights into underlying mutagenic processes and cancer origin. Developing reliable methods for their estimation is of growing importance in cancer…

应用统计 · 统计学 2025-02-04 Blake Hansen , Isabella N. Grabski , Giovanni Parmigiani , Roberta De Vito

We introduce a novel Bayesian hybrid matrix factorisation model (HMF) for data integration, based on combining multiple matrix factorisation methods, that can be used for in- and out-of-matrix prediction of missing values. The model is very…

机器学习 · 统计学 2017-04-18 Thomas Brouwer , Pietro Lió

Binary data matrices can represent many types of data such as social networks, votes, or gene expression. In some cases, the analysis of binary matrices can be tackled with nonnegative matrix factorization (NMF), where the observed data…

机器学习 · 统计学 2020-06-23 Alberto Lumbreras , Louis Filstroff , Cédric Févotte

Non-negative Matrix Factorization (NMF) is a useful method to extract features from multivariate data, but an important and sometimes neglected concern is that NMF can result in non-unique solutions. Often, there exist a Set of Feasible…

应用统计 · 统计学 2021-01-20 Ragnhild Laursen , Asger Hobolth

Nonnegative matrix factorization (NMF) is a powerful tool in data exploratory analysis by discovering the hidden features and part-based patterns from high-dimensional data. NMF and its variants have been successfully applied into diverse…

计算机视觉与模式识别 · 计算机科学 2017-07-27 Lihua Zhang , Shihua Zhang

We introduce a probabilistic model with implicit norm regularization for learning nonnegative matrix factorization (NMF) that is commonly used for predicting missing values and finding hidden patterns in the data, in which the matrix…

机器学习 · 计算机科学 2022-08-23 Jun Lu , Christine P. Chai

Over the past few years, there has been a considerable spread of microarray technology in many biological patterns, particularly in those pertaining to cancer diseases like leukemia, prostate, colon cancer, etc. The primary bottleneck that…

定量方法 · 定量生物学 2020-07-20 Parth Patel , Kalpdrum Passi , Chakresh Kumar Jain

We introduce negative binomial matrix factorization (NBMF), a matrix factorization technique specially designed for analyzing over-dispersed count data. It can be viewed as an extension of Poisson matrix factorization (PF) perturbed by a…

机器学习 · 计算机科学 2018-01-08 Olivier Gouvert , Thomas Oberlin , Cédric Févotte

Non-negative Matrix Factorization (NMF) is one of the most popular techniques for data representation and clustering, and has been widely used in machine learning and data analysis. NMF concentrates the features of each sample into a…

图像与视频处理 · 电气工程与系统科学 2021-03-26 Mulin Chen , Maoguo Gong , Xuelong Li

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

Non-Negative Matrix Factorization (NMF) is an unsupervised learning method offering low-rank representations across various domains such as audio processing, biomedical signal analysis, and image recognition. The incorporation of…

机器学习 · 计算机科学 2025-10-09 Yasaman Torabi , Shahram Shirani , James P. Reilly

Bayesian Non-negative Matrix Factorization (NMF) is a promising approach for understanding uncertainty and structure in matrix data. However, a large volume of applied work optimizes traditional non-Bayesian NMF objectives that fail to…

机器学习 · 统计学 2018-03-19 M. Arjumand Masood , Finale Doshi-Velez

By combining related objects, unsupervised machine learning techniques aim to reveal the underlying patterns in a data set. Non-negative Matrix Factorization (NMF) is a data mining technique that splits data matrices by imposing…

人工智能 · 计算机科学 2023-08-10 Yasser Khalafaoui , Nistor Grozavu , Basarab Matei , Laurent-Walter Goix

Researchers are often interested in predicting outcomes, conducting clustering analysis to detect distinct subgroups of their data, or computing causal treatment effects. Pathological data distributions that exhibit skewness and…

统计方法学 · 统计学 2020-08-24 Arman Oganisian , Nandita Mitra , Jason Roy

Non-negative matrix factorization (NMF) is widely used in many applications for dimensionality reduction. Inferring an appropriate number of factors for NMF is a challenging problem, and several approaches based on information criteria or…

统计方法学 · 统计学 2025-02-18 Alessandro Zito , Jeffrey W. Miller

Extracting genetic information from a full range of sequencing data is important for understanding diseases. We propose a novel method to effectively explore the landscape of genetic mutations and aggregate them to predict cancer type. We…

基因组学 · 定量生物学 2018-10-10 Zexian Zeng , Andy Vo , Chengsheng Mao , Susan E Clare , Seema A Khan , Yuan Luo

Multimorbidity, or the presence of several medical conditions in the same individual, has been increasing in the population, both in absolute and relative terms. However, multimorbidity remains poorly understood, and the evidence from…

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 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) 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
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