3 papers
math-ph2026
Topological Recursion and Quantum Path Signatures
Inês Aniceto, Inês Aniceto, Thomas Cass +1
We introduce a non-commutative Laplace transform between functionals on path space and formal series in a tensor algebra, under which a natural convolution of path functionals beco…
cs.LG2025
Random Controlled Differential Equations
Francesco Piatti, Thomas Cass, William F. Turner
We introduce a training-efficient framework for time-series learning that combines random features with controlled differential equations (CDEs). In this approach, large randomly p…
quant-ph2025
Quantum Path Signatures
Samuel Crew, Cristopher Salvi, William F. Turner +2
We elucidate physical aspects of path signatures by formulating randomised path developments within the framework of matrix models in quantum field theory. Using tools from physics…