Approximate Message Passing (AMP) algorithms have seen widespread use across a variety of applications. However, the precise forms for their Onsager corrections and state evolutions depend on properties underlying random matrix ensemble, limiting extent to which AMP derived white noise may be applicable data matrices that arise in practice. In this work, we study more general W satisfy orthogon...

Many complex processes can be viewed as dynamical systems of interacting agents. In many cases, only the state sequences individual agents are observed, while relations and rules unknown. The neural relational inference (NRI) model adopts graph networks that pass messages over a latent to jointly learn dynamics based on observed data. However, NRI infers independently suffers from error accumul...

We discuss four issues concerning the semantics of Message Flow Graphs (MFGs). MFGs are extensively used as pictures of message-passing behavior. One type of MFG, Message Sequence Chart (MSC) is ITU Standard Z.120. We require that a system described by an MFG has global states with respect to its message-passing behavior, with transitions between these states eeected by atomic message-passing a...