The Geometry of Shadows: What a Bridge Railing Taught Me About the Mathematics of LLMs
While running one morning, I found myself staring at the shadows cast by a stone bridge railing. The railing had a series of identical, carved镂空 (hollowed-out) structures. As I ran past, the angle of the sun shifted, and the shadows on the ground transformed. At one moment, the shadow looked like a swimming fish; a few steps later, it looked like a rolling wave; later still, it was just an…
While running one morning, the reporter noticed the shadows cast by a stone bridge railing. The railing featured a series of identical, carved hollow structures. As the sun's angle shifted, the shadows on the ground transformed. Initially, the shadow resembled a swimming fish; after a few steps, it looked like a rolling wave; eventually, it became just an abstract, elongated shape.
The reporter realized this physical phenomenon mirrored the central problem of language modeling, as explained in Joseph L. Breeden's paper, The Simple Mathematics of Large Language Models.
Written by urgent.news from Dev.to's reporting — not their text. Machine-written — may contain errors; check the original before relying on it.
