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Neel Nanda - Mechanistic Interpretability

Machine Learning Street Talk (MLST)

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Understanding Orthogonality in High Dimensions

This chapter explores the concept of orthogonality in 100-dimensional spaces, highlighting how the number of available orthogonal directions decreases as vectors are selected. It further discusses the curse of dimensionality, illustrating the exponential growth of volume in higher dimensions through mathematical reasoning and intuitive examples.

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