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Element-wise Operations and Transformations

Chapter 6

Interactive Notebook

Summary

This chapter covers element-wise operations and matrix transformations in GraphBLAS:

  • Element-wise Addition - Combining matrices by adding values at matching positions, useful for computing graph unions
  • Element-wise Multiplication - The Hadamard product, multiplying matrices element by element to find graph intersections
  • Graph Union and Intersection - Using element-wise operations to combine or filter graph structures
  • Selection Operations - Choosing elements based on criteria such as thresholds, comparisons, or patterns
  • Apply Operations - Transforming matrix elements by applying a function uniformly across the entire matrix
  • Filtering Graphs - Removing edges that don't meet certain criteria
  • Value Transformation - Scaling, normalizing, or otherwise modifying edge weights
  • Practical Applications - Graph comparison, filtering by edge weight, normalizing adjacency matrices