The first steps of animal embryo development involves a succession of cell divisions, cell rearrangements, signaling events and gene regulation. The principles of self-organization underlying early embryogenesis remain poorly understood, as they involve unknown feedbacks between geometry, mechanics, and signaling. The DeepEmbryo project aims to develop theoretical and computational methods to reverse engineer the very first stages of embryonic development from biological data, in particular from fluorescence microscopy imaging data. Beyond the experimental dissection of the molecular pathways underlying the cellular mechanisms, artificial intelligence methods such as convolutional neural networks, combined with physical modeling, are proposed here as a new tool to discover unknown couplings between geometry, mechanics and signalling. The project aims to 1) infer the forces that shape early embryos, (2) to decipher the couplings between forces, divisions and signaling, and 3) to uncover some principles underlying developmental robustness. The project should have potential applications in reproductive medicine, to help select embryos with the best potential for implantation in the context of assisted reproduction techniques.