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Accurately modeling biased random walks on weighted networks using node2vec.

Renming Liu1, Matthew Hirn1,2,3, Arjun Krishnan1,4

  • 1Department of Computational Mathematics, Science & Engineering, Michigan State University, East Lansing, MI 48824, USA.

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node2vec+ improves network embedding by incorporating edge weights, outperforming node2vec on weighted gene networks for function and disease prediction tasks. This method enhances biological network analysis when training data is limited.

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Area of Science:

  • Computational Biology
  • Network Science
  • Machine Learning

Background:

  • Network embedding is crucial for machine learning on biological networks.
  • Node2vec is a popular unsupervised method for network embedding using biased random walks.
  • Existing methods like node2vec do not fully utilize edge weights in dense, weighted biological networks.

Purpose of the Study:

  • To introduce node2vec+, an extension of node2vec that effectively incorporates edge weights into the random walk process.
  • To evaluate the performance of node2vec+ against node2vec on synthetic and real-world biological datasets.
  • To demonstrate the utility of node2vec+ in gene function and disease prediction tasks.

Main Methods:

  • Developed node2vec+, a novel algorithm extending node2vec to account for edge weights in biased random walks.
  • Utilized synthetic datasets to empirically assess the robustness of node2vec+ to noise compared to node2vec.
  • Applied node2vec+ to genome-scale functional gene networks for gene function and disease prediction.

Main Results:

  • node2vec+ shows improved robustness to additive noise in weighted graphs compared to node2vec.
  • node2vec+ demonstrates superior performance over node2vec in gene function and disease prediction tasks on weighted gene networks.
  • Both node2vec and node2vec+ outperform graph neural networks (GCN, GraphSAGE) in gene classification tasks with limited training data.

Conclusions:

  • node2vec+ is a more effective network embedding method for weighted biological networks than node2vec.
  • The incorporation of edge weights significantly enhances performance in biological network analysis, particularly for gene function and disease prediction.
  • node2vec+ offers a valuable tool for analyzing complex biological networks, especially when data is scarce.