Embeddings: The Math of Meaning

Tokenization turns text into numbers. Embeddings turn those numbers into concepts.

What is an Embedding?

Imagine plotting every word in the English language on a giant 3D map. Words with similar meanings ("Dog" and "Puppy") would be close together. Words with opposite meanings ("Hot" and "Cold") would be far apart.

  • Represented as a list of real numbers (floats).
  • Learned during training and unique to each token.

Vector Arithmetic

King
[0.9, 0.2]
-
Man
[0.4, 0.1]
+
Woman
[0.4, 0.8]
=
Queen
[0.9, 0.9]

By subtracting the "male" concept and adding the "female" concept, the model mathematically arrives at "Queen".

🎭 The Context Chameleon

Dictionary vs. Reality

Words like "Bank" can mean a river side or a financial vault."Bat" can be an animal or sports gear. Traditional code struggles with this. Embeddings thrive on it.

Slang & Evolution

Embeddings capture meanings that don't exist in dictionaries yet.

"You're low key a mood tonight."

Why are they important?

Think about a favorite memory. Is it just one single image? No. It's a smell, a feeling, a sound, and a location all wrapped into one.

A memory is an embedding for your brain.

Holistic Understanding

  • 1It's a collection of information that preserves the full context of a moment.
  • 2It informs how you react to similar situations in the future.

Scientific Insight

Scientists have identified strong mathematical similarities between AI word embeddings and fMRI scans of the human brain when processing the same words!