A system having sensor modules and a computing device. Each sensor module has an inertial measurement unit attached to a portion of a user to generate motion data identifying a sequence of orientations of the portion. The sensor modules include a first subset and a second subset that share a common sensor module. The computing device provides orientation measurements generated by the first subset as input to a first artificial neural network to obtain at least one first orientation measurement of the common module, provides orientation measurements generated by the second subset as input to a second artificial neural network to obtain at least one second orientation measurement of the common module, and generates, a predicted orientation measurement of the common module by combining the at least one first orientation measurement of the common module and the at least one second orientation measurement of the common module.