pysiglib.branched_sig_combine

pysiglib.branched_sig_combine#

branched_sig_combine(bsig1, bsig2, dimension, degree, *, tree_order='recursive', planar=False, n_jobs=1)[source]#

Combines two truncated branched signatures via the Butcher product (the analogue of Chen’s identity for branched rough paths).

Parameters:

  • bsig1 – First branched signature, in the ordering specified by tree_order.

  • bsig2 – Second branched signature, in the ordering specified by tree_order.

  • dimension – Dimension of the underlying path.

  • degree – Maximum tree order (number of nodes).

  • tree_order – Tree ordering convention for inputs and output. "recursive" (default) uses the recursive construction order. "canonical" uses the shape-first order matching tree_to_idx().

  • planar – If True, combine planar (ordered) branched signatures.

  • n_jobs – Number of parallel threads for batch processing.

Returns:

Combined branched signature, in the same ordering and scalar-term format as the inputs.


Citation#

If you found this library useful in your research, please consider citing the paper:

@article{shmelev2025pysiglib,
  title={pySigLib-Fast Signature-Based Computations on CPU and GPU},
  author={Shmelev, Daniil and Salvi, Cristopher},
  journal={arXiv preprint arXiv:2509.10613},
  year={2025}
}
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