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Variational inference for Markov jump processes AbstractDiscrete stochastic processes play an important role in a large number of application domains. However, realistic systems are analytically intractable and they have traditionally been analysed using simulation based techniques, which do not provide a framework for statistical inference. We propose a mean field approximation to perform posterior inference and parameter estimation. The approximation allows a practical solution to the inference problem, while still retaining some important features of the original problem such as the existence of emerging properties. We illustrated our approach on two biologically motivated systems.
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