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Non--negative matrix factorization using the extit{R} package extsf{nnmf}

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arXiv

arxiv.org/abs/2607.20084v1

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Non--negative matrix factorization using the \textit{R} package \textsf{nnmf}

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Plain-Language Brief

This research presents a new R package for Non-negative Matrix Factorization (NMF) and compares it with two other widely used NMF packages in R. The comparison is based on real-world data instead of simulated datasets, focusing on aspects like computational efficiency, convergence behavior, reconstruction accuracy, memory utilization, and the stability of the resulting matrix factorization.

What the Document Says

  • The paper discusses Non-negative Matrix Factorization (NMF), a technique used for dimensionality reduction and extraction of latent structures from non-negative data.
  • It mentions that NMF has applications in various fields such as bioinformatics, text mining, image analysis, and recommender systems.
  • The authors note that there are numerous R packages implementing different optimization strategies and computational frameworks for NMF.
  • Despite the availability of these packages, comprehensive evaluations under real-world data conditions are limited, making it challenging for researchers to choose an appropriate package for practical applications.
  • The study introduces a new R package for NMF and conducts a systematic performance comparison with two widely available R packages for NMF analysis.
  • The evaluation is based on real-world data instead of simulated datasets to better reflect the complexity, heterogeneity, and noise characteristics encountered in practical analytical settings.
  • The focus areas for comparison are computational efficiency, convergence behavior, reconstruction accuracy, memory utilization, and the stability of the resulting matrix factorization.

Key Concepts Mentioned

  • Non-negative Matrix Factorization
  • R package
  • dimensionality reduction
  • latent structures
  • bioinformatics
  • text mining
  • image analysis
  • recommender systems

Claims Made by the Document

  • There are numerous R packages for NMF with different optimization strategies and computational frameworks.
  • Comprehensive evaluations of these implementations under real-world data conditions are limited.
  • The new R package introduced in the study offers a systematic performance comparison with two other widely used R packages for NMF analysis.
  • Real-world data is used instead of simulated datasets for the evaluation.

Evidence Used

  • Discussion on the popularity and applications of NMF
  • Mention of numerous R packages for NMF
  • Statement about limited comprehensive evaluations
  • Description of the new R package and comparison with others
  • Explanation of using real-world data instead of simulated datasets

Methods / Approach

UNKNOWN

Limitations Stated by the Authors

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Limitations Noted by the Agent

Agent interpretation — not from the source.

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Open Questions

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Notes for Future Q&A

May include interpretation. Labeled where it does.

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Raw Abstract / Excerpt

Non--negative matrix factorization (NMF) has become an established dimensionality reduction technique for extracting latent structures from non--negative data and has found widespread applications in fields such as bioinformatics, text mining, image analysis, and recommender systems. As the popularity of NMF has increased, numerous \textit{R} packages implementing different optimization strategies and computational frameworks have been developed. Despite their widespread availability, comprehensive evaluations of these implementations under real--world data conditions remain limited. Consequently, researchers often lack objective guidance when selecting an appropriate package for practical applications. This study introduces a new \textit{R} package for NMF and offers asystematic performance comparison with two widely available \textit{R} packages for NMF analysis. Rather than relying on simulated datasets, the evaluation is conducted using real--world data to better reflect the complexity, heterogeneity, and noise characteristics encountered in practical analytical settings. The packages are assessed using a consistent experimental framework, with emphasis on computational efficiency, convergence behavior, reconstruction accuracy, memory utilization, and the stability of the resulting matrix factorization.