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3Blue1Brown explains how text tokens are associated with vectors and illustrates relationships through vector arithmetic, while such analogies depend on the particular embedding.
- 1EmbeddingA token is associated with a vector in a high-dimensional space.
- 2Vector relationshipsSome word relationships appear as differences between vectors.
- 3An illustration, not a ruleThe arithmetic depends on the embedding and does not always work.
ポイント
- Tokens can be represented by high-dimensional vectors.
- Learned vector geometry can reflect relationships between words.
- Analogy arithmetic is illustrative and does not universally hold.
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Tokens and vectors
A short 3Blue1Brown explanation asks how word vectors can reflect relationships between concepts. It is an excerpt from a longer video about language models.
A short 3Blue1Brown explanation asks how word vectors can reflect relationships between concepts. It is an excerpt from a longer video about language models.
A language model divides text into pieces called tokens and associates them with vectors: long lists of numbers. An embedding can be imagined as a direction or position in a high-dimensional space.
Relationships in space
Some learned embeddings encode relationships in their geometry. The example in the video says that a difference between gender-related word vectors can move the vector for “uncle” near that for “aunt.”
Some learned embeddings encode relationships in their geometry. The example in the video says that a difference between gender-related word vectors can move the vector for “uncle” near that for “aunt.”
Limits of analogy
The narrator gives another historical analogy involving Italy, Germany, Hitler and Mussolini. Such arithmetic illustrates a pattern in a particular embedding space; it is not a reliable rule for every model or pair of words.
The narrator gives another historical analogy involving Italy, Germany, Hitler and Mussolini. Such arithmetic illustrates a pattern in a particular embedding space; it is not a reliable rule for every model or pair of words.
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