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What Does an Embedding Space Actually Look Like?

中文摘要

本文探讨高维嵌入空间的几何特性,包括流形与测地线,并解释为何 768 维空间中的“直线”极少穿过空白区域。

English Summary

This article explores high-dimensional embedding space geometry, using manifolds and geodesics to explain why straight lines in 768 dimensions rarely pass through empty space.

原文节选

Cones, manifolds, geodesics, and why a “straight line” in 768 dimensions almost never goes through empty space Continue reading on Medium »