Appendix of Deep Stochastic Processes via Functional Markov Transition Operator A Proofs

A.1 Proof of proposition 4.1 (See page 4) A.2 Proof of proposition 4.2 (See page 4) MTOs in the form of Equation ( 9) are consistent and exchangeable. MTO s are consistent and exchangeable for the general form. These convex functions are then randomly shifted and rescaled to increase diversity. To circumvent memory issues, we use deep sets in this instance. Note that we do not share parameters among iterations.