Exploring the Power of Path Signatures – IMPRS Combo IV

From 24 to 26 September, our MPI hosted the fourth edition of the IMPRS Combo workshop, bringing together around 40 PhD students and PostDocs for an interdisciplinary deep dive into the Path Signature.

Originally introduced by Kuo-Tsai Chen in the 1950s, path signatures form an infinite collection of tensors defined by iterated integrals of a path’s coordinate functions. Today, they are at the heart of rough path theory in stochastic analysis and play an increasingly important role in diverse applications ranging from quantitative finance and data science to machine learning and mathematical physics.

The workshop combined introductory lectures with discussions across fields, allowing participants to explore the algebraic and analytic structures behind path signatures and their relevance in modern research. By fostering exchange and broadening horizons, IMPRS Combo IV once again highlighted the value of interdisciplinary learning within the mathematical sciences.