We consider a broad class of Approximate Message Passing (AMP) algorithms defined as Lipschitzian functional iteration in terms an n×n random symmetric matrix A. establish universality noise for this AMP the n-limit and validate behavior number AMPs popularly adapted compressed sensing, statistical inferences, optimizations spin glasses.

We present a calculus that models a form of process interaction based on copyless message passing, in the style of Singularity OS. The calculus is equipped with a type system ensuring that well-typed processes are free from memory faults, memory leaks, and communication errors. The type system is essentially linear, but we show that linearity alone is inadequate, because it leaves room for scen...

The paper proposes a new message passing algorithm for cycle-free factor graphs. The proposed ”entropy message passing” (EMP) algorithm may be viewed as sumproduct message passing over the entropy semiring, which has previously appeared in automata theory. The primary use of EMP is to compute the entropy of a model. However, EMP can also be used to compute expressions that appear in expectation...

This paper addresses the question of whether message passing provides an adequate programming model to address current needs in programming multicore processors. It studies the pitfalls of message passing as a concurrency model, and argues that programmers need more structure than what is provided by today’s popular message passing libraries. Collective operations and design patterns can help a...

In this paper, we evaluate the use of software distributed shared memory (DSM) on a message passing machine as the target for a parallelizing compiler. We compare this approach to compiler-generated message passing, hand-coded software DSM, and hand-coded message passing. For this comparison, we use six applications: four that are regular and two that are irregular. Our results are gathered on ...

We illustrate the relationship between message passing algorithms in GMRFs and matrix factorization algorithms. Specifically, we show that message passing on trees is equivalent to Gaussian elimination, while Loopy Belief Propagation is equivalent to Gauss-Seidel relaxation. Similarly, recently introduced message passing algorithms such as the Extended Message Passing, and the Embedded Subgraph...

In this paper, we discuss the performance achieved by several implementations of the recently deened Message Passing Interface (MPI) standard. In particular, performance results for diierent implementations of the broadcast operation are analyzed and compared on the Delta, Paragon, SP1 and CM5.