DifferentiableMultipleShootingLayers SupplementaryMaterial

Neural Information Processing Systems 

Let φθ(z,s,t) be the solution of (2.1). In this paper,we propose to either use the forward sensitivity approach ofProposition 1ortorelyonthezeroth-order approximation ofparareal. Interpolation is used to obtain values ofz(t)without a full backsolve from z(T). C.5 BroaderImpact Differential equations are the language of science and engineering. We consider a parametrizationu,θ with parametersθ of the boundary controllerπ via a multi-layerperceptron.