This is a Plain English Papers summary of a research paper called AI Language Models Use Hidden Geometry to Add Numbers. If you like these kinds of analysis, you should join AImodels.fyi or follow us on Twitter.
Overview
- Language models can perform addition by representing numbers as points on a helix
- The models encode numbers using trigonometric functions
- Addition operations happen through rotations and translations along this helix
- This discovery explains how LLMs handle basic arithmetic
- The research reveals an unexpected geometric approach to computation
Plain English Explanation
Language models have figured out a clever geometric trick to do basic math. Instead of adding numbers the way humans do, they turn numbers into points on a spiral shape called a helix. Think of it like wrapping a number line around a cylinder - each number gets its own unique s...
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