We consider the problem of obtaining dense 3D reconstructions of humans from\nsingle and partially occluded views. In such cases, the visual evidence is\nusually insufficient to identify a 3D reconstruction uniquely, so we aim at\nrecovering several plausible reconstructions compatible with the input data. We\nsuggest that ambiguities can be modelled more effectively by parametrizing the\npossible body shapes and poses via a suitable 3D model, such as SMPL for\nhumans. We propose to learn a multi-hypothesis neural network regressor using a\nbest-of-M loss, where each of the M hypotheses is constrained to lie on a\nmanifold of plausible human poses by means of a generative model. We show that\nour method outperforms alternative approaches in ambiguous pose recovery on\nstandard benchmarks for 3D humans, and in heavily occluded versions of these\nbenchmarks.\n