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Can someone please elaborate the difference between mpi and mapreduce?

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For an explanation of what MPI is, see this question. For an explanation of what MapReduce is, please see this question.

There are some differences between both. MPI is a standardized API that has multiple implementations such as OpenMPI or MPICH. MapReduce is mostly a programming paradigm that has a vast amounf of implementations in different programming and database languages.