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Arxiv

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Image Credit: Arxiv

Subsampling, aligning, and averaging to find circular coordinates in recurrent time series

  • Researchers have introduced a new algorithm for finding robust circular coordinates on recurrent time series data, such as neuronal recordings of C. elegans.
  • The algorithm corrects for uneven sampling density by adapting the method of averaging coordinates in manifold learning.
  • Rejection sampling is used to address inhomogeneous sampling, and Procrustes matching is applied to align and average the subsamples.
  • The technique is validated on synthetic data sets and neuronal activity recordings, revealing a topological model for C. elegans' neuronal trajectories.

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