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Fully unsupervised topic models have found fantastic success in document clustering and classification. However, these models often suffer from the tendency to learn less-than-meaningful or even redundant topics when the data is biased…

机器学习 · 计算机科学 2021-02-08 Joshua Vendrow , Jamie Haddock , Elizaveta Rebrova , Deanna Needell

The spectrum of mutations in a collection of cancer genomes can be described by a mixture of a few mutational signatures. The mutational signatures can be found using non-negative matrix factorization (NMF). To extract the mutational…

统计方法学 · 统计学 2022-11-02 Marta Pelizzola , Ragnhild Laursen , Asger Hobolth

Nonnegative matrix factorization (NMF) has found many applications including topic modeling and document analysis. Hierarchical NMF (HNMF) variants are able to learn topics at various levels of granularity and illustrate their hierarchical…

机器学习 · 计算机科学 2022-02-16 Joshua Vendrow , Jamie Haddock , Deanna Needell

The paper discusses a pooling mechanism to induce subsampling in graph structured data and introduces it as a component of a graph convolutional neural network. The pooling mechanism builds on the Non-Negative Matrix Factorization (NMF) of…

机器学习 · 计算机科学 2019-09-10 Davide Bacciu , Luigi Di Sotto

Non-negative matrix factorisation (NMF) is a widely used tool for unsupervised learning and feature extraction, with applications ranging from genomics to text analysis and signal processing. Standard formulations of NMF are typically…

机器学习 · 计算机科学 2026-03-11 Elisabeth Sommer James , Asger Hobolth , Marta Pelizzola

Nonnegative matrix factorization (NMF) is a standard linear dimensionality reduction technique for nonnegative data sets. In order to measure the discrepancy between the input data and the low-rank approximation, the Kullback-Leibler (KL)…

最优化与控制 · 数学 2021-05-12 Le Thi Khanh Hien , Nicolas Gillis

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

Nonnegative matrix factorization (NMF) is now a common tool for audio source separation. When learning NMF on large audio databases, one major drawback is that the complexity in time is O(FKN) when updating the dictionary (where (F;N) is…

机器学习 · 统计学 2011-06-22 Augustin Lefèvre , Francis Bach , Cédric Févotte

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

Motivated by the analysis of nonnegative data objects, a novel Nested Nonnegative Cone Analysis (NNCA) approach is proposed to overcome some drawbacks of existing methods. The application of traditional PCA/SVD method to nonnegative data…

统计方法学 · 统计学 2013-09-09 Lingsong Zhang , J. S. Marron , Shu Lu

Nonnegative matrix factorization is a powerful technique to realize dimension reduction and pattern recognition through single-layer data representation learning. Deep learning, however, with its carefully designed hierarchical structure,…

计算机视觉与模式识别 · 计算机科学 2017-07-31 Zhenxing Guo , Shihua Zhang

Propositional Projection Temporal Logic (PPTL) is a useful formalism for reasoning about period of time in hardware and software systems and can handle both sequential and parallel compositions. In this paper, based on discrete time Markov…

计算机科学中的逻辑 · 计算机科学 2010-11-08 Xiaoxiao Yang

Graph link prediction is an important task in cyber-security: relationships between entities within a computer network, such as users interacting with computers, or system libraries and the corresponding processes that use them, can provide…

应用统计 · 统计学 2022-08-10 Francesco Sanna Passino , Melissa J. M. Turcotte , Nicholas A. Heard

Non-negative Matrix Factorisation (NMF) has been extensively used in machine learning and data analytics applications. Most existing variations of NMF only consider how each row/column vector of factorised matrices should be shaped, and…

机器学习 · 计算机科学 2019-07-09 Shuai Jiang , Kan Li , Richard Yida Xu

We introduce a new non-negative matrix factorization (NMF) method for ordinal data, called OrdNMF. Ordinal data are categorical data which exhibit a natural ordering between the categories. In particular, they can be found in recommender…

机器学习 · 计算机科学 2020-09-03 Olivier Gouvert , Thomas Oberlin , Cédric Févotte

We propose a new Bayesian Markov switching regression model for multidimensional arrays (tensors) of binary time series. We assume a zero-inflated logit regression with time-varying parameters and apply it to multilayer temporal networks.…

统计方法学 · 统计学 2019-07-05 Monica Billio , Roberto Casarin , Matteo Iacopini

Beta process is the standard nonparametric Bayesian prior for latent factor model. In this paper, we derive a structured mean-field variational inference algorithm for a beta process non-negative matrix factorization (NMF) model with…

机器学习 · 统计学 2014-12-03 Dawen Liang , Matthew D. Hoffman

Nonnegative Matrix Factorization (NMF) models are widely used to recover linearly mixed nonnegative data. When the data is made of samplings of continuous signals, the factors in NMF can be constrained to be samples of nonnegative rational…

信号处理 · 电气工程与系统科学 2023-05-31 Cécile Hautecoeur , Lieven De Lathauwer , Nicolas Gillis , François Glineur

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

Nonnegative Matrix Factorization (NMF) has been a popular representation method for pattern classification problem. It tries to decompose a nonnegative matrix of data samples as the product of a nonnegative basic matrix and a nonnegative…

机器学习 · 统计学 2013-12-06 Jim Jing-Yan Wang