Systems and methods are directed to a computing system. The computing system can include one or more processors and a machine-learned message passing model that is end-to-end differentiable. The machine-learned message passing model can include a plurality of nodes. That each include a machine-learned backmessage generation submodel. Each of the one or more nodes can be configured to receive at least one backmessage from at least one downstream node, generate, using the machine-learned backmessage generation submodel, a multi-dimensional backmessage based on the at least one backmessage, and provide the multi-dimensional backmessage to at least one upstream node. The computing system can, for one or more iterations, update, for each of the one or more nodes, one or more parameters of the machine-learned backmessage generation submodel of the node based on a meta-learning objective function.