Title: Deep Gaussian Process State-Space Model for Motion Generation via Stochastic Expectation Propagation. Abstract: Gaussian Processes (GPs) and related unsupervised learning techniques such as Gaussian process dynamical models (GP-DMs) have been very successful in the accurate modeling of high-dimensional data based on limited amounts of training data. Usually these techniques have the disadvantage of a high computational complexity. This makes it difficult to solve the associated learning problems for large data sets, since the related computations, as opposed to neural networks, are not node-local. Combining sparse approximation techniques for GPs and stochastic expectation propagation (SEP), we present a framework for the computationally efficient implementation of deep Gaussian process (state-space) models. We provide implementations of this approach on the GPU as well as on the CPU. We present the first implementation of such deep GP-SSMs and demonstrate the computational efficiency of our GPU implementation.