Building LLMs from Scratch: Vectors, Matrices, and High-Dimensional Spaces

This article, the second in a three-part series, demystifies the workings of Large Language Models (LLMs) for technically inclined readers with limited AI expertise. Building on part 19 of a series based on Sebastian Raschka's book "Build a Large Language Model (from Scratch)", it explains the use of vectors, matrices, and high-dimensional spaces (vocab space and embedding space) within LLMs. The author argues that understanding LLM inference requires only high-school level math, while training requires more advanced mathematics. The article details how vectors represent meaning in high-dimensional spaces and how matrix multiplication projects between these spaces, connecting this to linear layers in neural networks.
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