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B23 A SMALL STEP SIDEWAYS

Distances, neighborhoods, and transformations

Rotate a molecule and its energy shouldn't change, but its forces should turn with it. Pick the right distance for an embedding, then tell invariant from equivariant.

LESSON OVERVIEW12 min lesson

Lesson overview

Rotate a molecule and its energy shouldn't change, but its forces should turn with it. Pick the right distance for an embedding, then tell invariant from equivariant.

What you’ll explore

  • Compute Euclidean distance and cosine similarity, explain how a flattened plot can distort neighborhoods, and decide whether an output should be invariant or equivariant to a rotation, translation, or reordering.
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Original explanations, connected to the research.

Deep Learning — linear algebra
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