This code implements a Hadoop MapReduce program, TwoPhase.java, that computes the multiplication of two given matrices using the two-phase approach. The input matrices A and B are stored in two ...

Matrix-Vector Multiplication with MapReduce This is an example method that is needed in applications such as Google's PageRank. When the matrices and vectors become very large, MapReduce becomes a ...

We present parallel matrix multiplication implementations using MapReduce (MR) based on VLC scheme and explain in detail the MR job. The map method receives the matrix input and generates intermediate ...

We’re just a few years into the AI revolution, but AI systems are already improving decades-old computer science algorithms. Google’s AlphaEvolve AI, its latest coding agent for algorithm discovery, ...

DeepMind breaks 50-year math record using AI; new record falls a week later AlphaTensor discovers better algorithms for matrix math, inspiring another improvement from afar.