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The physics, resolution, and imaging depth of hybrid techniques such as photoacoustic tomography (PAT) is such that model-based approaches to the quantitative inverse problem require use of the radiative transport equation (RTE). Solutions to the RTE are typically sought via stochastic Monte-Carlo methods. In this work we couple our Radiance Monte-Carlo technique with a new stochastic optimisation method which allows us to demonstrate fast simultaneous reconstruction of the absorption and scattering coefficient in three dimensions.