Moments Determine Discrete Signature Distributions Stochastic Analysis Universal Approximation of Arbitrarily-Wide Networks Stochastic Analysis Reparameterization Invariance Stochastic Analysis Universal Kernel for Distribution Regression Stochastic Analysis Prohorov's Theorem Stochastic Analysis Factorial Decay Stochastic Analysis Adjoint Equation for a Neural CDE Stochastic Analysis MMD is a Metric under Characteristicness Stochastic Analysis