This work studies the problem of modeling visual processes by leveraging deep generative architectures for learning linear, Gaussian representations from observed sequences. We propose a joint learning framework, combining a vector autoregressive model and a Variational Autoencoder. This results in an architecture that allows Variational Autoencoders to simultaneously learn a non-linear observation as well as a linear state model from sequences of frames. We validate our approach on synthesis of artificial sequences and dynamic textures. To this end, we use our architecture to learn a statistical model of each visual process, and generate a new sequence from each learned visual process model.
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