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About this paper

Pavithra Elumalai, Sudharsan Vijayaraghavan, Madhumita Mondal, Areejit Samal

A study from The Institute of Mathematical Sciences applies discrete Ricci curvature measures to prune Randomly Wired Neural Networks, achieving up to 4.161x compression and 4.472x theoretical speedup without compromising COVID-19 chest X-ray classification performance. The research highlights Forman-Ricci curvature as a computationally efficient alternative to Ollivier-Ricci curvature.

Key insights

  • Discrete Ricci curvature measures provide a principled, geometry-inspired approach for neural network pruning, effectively leveraging the inherent graph structure.
  • Forman-Ricci curvature (FRC) can achieve pruning effectiveness comparable to Ollivier-Ricci curvature (ORC) with significantly higher computational efficiency, particularly in ER and WS networks.
  • Pruning consistently alters network topology by increasing modularity and decreasing global efficiency, indicating a trade-off between structural segregation and efficient global information flow.

Summary by alphaXiv.

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