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Breandan's Blog · Breandan's Blog Computation graphs and graph computation 30 Jun 2020 Research has begun to reveal many algorithms can be expressed as matrix multiplication, suggesting an unrealized connection between linear algebra and computer science. I speculate graphs are the missing piece of the puzzle. Graphs are not only useful as cognitive aides, but are suitable data structures for a wide variety of tasks, particularly on modern parallel processing hardware. In this essay, I explore the virtues of graphs, algebra, types, and show how these concepts can help us reason about programs. I propose a computational primitive based on graph signal processing, linking software engineering, graphs, and linear algebra. Finally, I share my predictions for the path ahead, which I consider to be the start of an exciting new chapter in computing history. n.b.: None of these ideas are mine alone. Shoulders of giants. Follow the links and use landscape mode for optimal ...
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