2min chapter

Machine Learning Street Talk (MLST) cover image

Neel Nanda - Mechanistic Interpretability

Machine Learning Street Talk (MLST)

CHAPTER

The Cursive Dimensionality of Vectors

The volume of a space increases exponentially with the number of dimensions. The only things orthogonal that are a line and so there's exactly two orthogonal things you can fit in. If you've got a hundred dimensional vector um every combination of flipping one of the dimensions would be would produce a vector which is orthogonal to all of the other ones.

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