nLab Joscha Diehl

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Selected writings

On iterated sums and iterated integrals over semirings, where the case of tropical semirings is a central, with applications (including to machine learning):

• Joscha Diehl, Kurusch Ebrahimi-Fard, Nikolas Tapia: Tropical time series, iterated-sums signatures, and quasisymmetric functions, SIAM Journal on Applied Algebra and Geometry 6 4 (2022) [arxiv:2009.08443, doi:10.1137/20M1380041]

On an application of Magnus expansion and Chen iterated integrals to surface signature (higher parallel transport) analogous to path signature:

• Ilya Chevyrev, Joscha Diehl, Kurusch Ebrahimi-Fard, Nikolas Tapia: A multiplicative surface signature through its Magnus expansion [arXiv:2406.16856]

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