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Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
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Supervised learning and model analysis with compositional data.

Shimeng Huang1, Elisabeth Ailer2, Niki Kilbertus2,3

  • 1Department of Mathematical Sciences, University of Copenhagen, Copenhagen, Denmark.

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|June 30, 2023
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Summary
This summary is machine-generated.

KernelBiome is a new machine learning framework for analyzing sparse compositional microbiome data. It offers improved prediction and novel interpretation methods for complex biological signals.

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Area of Science:

  • Microbiome research
  • Machine learning
  • Bioinformatics

Background:

  • Supervised learning is crucial for high-throughput sequencing data analysis, particularly in microbiome research.
  • Existing methods struggle with compositional and sparse data, lacking interpretability or the ability to capture complex signals.
  • Linear log-contrast models and black-box machine learning methods have limitations in handling these data characteristics.

Purpose of the Study:

  • To introduce KernelBiome, a kernel-based nonparametric framework for regression and classification of compositional data.
  • To address the challenges of sparsity and compositionality in microbiome data analysis.
  • To provide a framework that can incorporate prior knowledge, such as phylogenetic structure.

Main Methods:

  • KernelBiome utilizes a kernel-based nonparametric approach tailored for sparse compositional data.
  • The framework incorporates prior knowledge, like phylogenetic relationships, to enhance analysis.
  • It captures complex signals, including the zero-structure, and adaptively manages model complexity.

Main Results:

  • KernelBiome demonstrates competitive or superior predictive performance across 33 microbiome datasets compared to state-of-the-art methods.
  • Novel interpretation quantities are proposed, extending the interpretability of linear models to nonparametric settings.
  • The framework's connection between kernels and distances facilitates interpretability and enables data-driven embeddings.

Conclusions:

  • KernelBiome offers a powerful and interpretable solution for analyzing sparse compositional microbiome data.
  • The framework enhances predictive accuracy while providing novel insights into component contributions.
  • KernelBiome is available as an open-source Python package, promoting wider adoption and further research.