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    Consensus Message Passing for Layered Graphical Models

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    Generative models provide a powerful framework for probabilistic reasoning. However, in many domains their use has been hampered by the practical difficulties of inference. This is particularly the case in computer vision, where models of the imaging process tend to be large, loopy and layered. For this reason bottom-up conditional models have traditionally dominated in such domains. We find that widely-used, general-purpose message passing inference algorithms such as Expectation Propagation (EP) and Variational Message Passing (VMP) fail on the simplest of vision models. With these models in mind, we introduce a modification to message passing that learns to exploit their layered structure by passing 'consensus' messages that guide inference towards good solutions. Experiments on a variety of problems show that the proposed technique leads to significantly more accurate inference results, not only when compared to standard EP and VMP, but also when compared to competitive bottom-up conditional models.Comment: Appearing in Proceedings of the 18th International Conference on Artificial Intelligence and Statistics (AISTATS) 201

    The influence of decision-making rules on individual preference for ecological restoration: Evidence from an experimental survey

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    We conduct an experimental survey to analyze how rules for collective decision-making influence individual preferences concerning nature restoration projects. Our study compares two decision-making rules - a consensus rule and a majority rule - wherein participants decide on a plan concerning nature restoration in the Kushiro Wetland, Japan. Our main finding is that the difference between the individual preferences and collective decision-making is less significant under the consensus rule than the majority rule. Furthermore, there is a larger disparity with regard to the marginal willingness to pay between collective and individual decisions when participants are unsatisfied with the results of collective choice.
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