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We present a new method and an algorithm for joint inversions of the multiphysics data using a joint minimum entropy stabilizer. By minimizing this stabilizing functional we decrease the uncertainty in the model parameters distribution, thus reducing the nonuniqueness and enhancing a similarity between different types of model parameters. We also introduce a practical approach to joint minimum entropy inversion based on the re-weighted regularized conjugate gradient method. The joint inversion approach developed in the paper (1) promotes strong structural coupling between different geophysical properties; (2) enforces sharp boundaries of the anomalous bodies; and (3) does not introduce coupling artifacts where the models decouple.