Decomposition Techniques in Parallel Computing | Recursive, Data, Exploratory, Speculative

Decomposition techniques in parallel computing refer to methods used to break down a large computational problem into smaller, more manageable tasks that can be executed in parallel. Here are some of the commonly used decomposition techniques:

Recursive decomposition: This technique involves dividing a problem into smaller sub-problems, and then recursively applying the same algorithm to each sub-problem until a base case is reached. This technique is commonly used in divide-and-conquer algorithms such as quicksort and mergesort.Levels of parallelism ?(Opens in a new browser tab)

Data decomposition: This technique involves dividing the input data into smaller chunks that can be processed in parallel by different processors. There are two main types of data decomposition: task parallelism and data parallelism. In task parallelism, different processors work on different parts of the computation, while in data parallelism, each processor works on a subset of the data.Introduction to Parallel Computing: Motivating Parallelism ?(Opens in a new browser tab)

Exploratory decomposition: This technique involves exploring different possible solutions to a problem in parallel, and selecting the best solution based on some criteria. This technique is commonly used in optimization and search problems, where it is not clear which solution is best.Models: SIMD, MI ?MD, SIMT, SPMD, Data Flow Models ?(Opens in a new browser tab)

Speculative decomposition: This technique involves executing multiple parallel computations, each based on a different assumption or hypothesis about the problem, and selecting the best result once all computations have completed. This technique is commonly used in machine learning and artificial intelligence applications, where it is not possible to determine the best solution beforehand.Parallel Programming Platforms:(Opens in a new browser tab)

Overall, decomposition techniques are essential for achieving high performance and scalability in parallel computing applications. The choice of decomposition technique depends on the nature of the problem being solved, the available hardware resources, and the programming model being used.Leet Code : Find the Duplicate Number / Element C++ ,Java , Python Solution:(Opens in a new browser tab)