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2023-10-30 04:22:18

yr on Nostr: Probability of returning to the origin in a random walk: 1D → P=1 2D → P=1 3D → ...

Probability of returning to the origin in a random walk:
1D → P=1
2D → P=1
3D → P=0.34
Large D → P=1/2D


In high-dimensional spaces, a step in a random direction is more likely to take you further from the origin! There is a lot of space to explore in high-dimensions

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