3 papers
stat.ML2025
Novelty detection on path space
Ioannis Gasteratos, Antoine Jacquier, Maud Lemercier +2
We frame novelty detection on path space as a hypothesis testing problem with signature-based test statistics. Using transportation-cost inequalities of Gasteratos and Jacquier (20…
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…
quant-ph2023
Unsupervised Random Quantum Networks for PDEs
Josh Dees, Antoine Jacquier, Sylvain Laizet
Classical Physics-informed neural networks (PINNs) approximate solutions to PDEs with the help of deep neural networks trained to satisfy the differential operator and the relevant…