A hybrid quantum-classical pipeline pairs signature kernel feature layers with QCNNs for binary MNIST digit classification, finding modest accuracy gains for some ansatzes but VQLS-based kernel computation is infeasible beyond 5-6 time steps.
Introduction to rough paths theory
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abstract
These notes are an extended version of the course "Introduction to rough paths theory" given at the XXV Brazilian School of Probability in Campinas in August 2022. Their aim is to give a consise overview to Lyon's theory of rough paths with a special focus on applications to stochastic differential equations.
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QCNN with Rough Path Signature Kernels
A hybrid quantum-classical pipeline pairs signature kernel feature layers with QCNNs for binary MNIST digit classification, finding modest accuracy gains for some ansatzes but VQLS-based kernel computation is infeasible beyond 5-6 time steps.