Embedding

Definitions

1. The act or process by which one thing is embedded in another.
2. A map which, in any of several technical senses, represents the containment of one structure inside another.
3. A continuous map which is also a homeomorphism between its domain and its image (considered with the subspace topology induced by its codomain).
4. An immersion which is also a topological embedding; equivalently, a diffeomorphism whose image is a submanifold of its codomain.
5. A ring homomorphism between fields (the name deriving from the fact that all such maps are injective).
6. A map between metric spaces which preserves distances up to some scaling factor (called the distortion).
7. An injective morphism in a concrete category which is also initial.
8. A representation of a unit of text (such as a word or token) as a vector, which encodes the context in which it is used.

Equivalents

Examples

“word embeddings”

““A major reason⟳ we chose to study⟳ word embeddings is that they have⟳ been spectacularly successful in the last⟳ few years in helping computers make⟳ sense⟳ of language,” said Arvind Narayanan, a computer scientist at Princeton University and the paper’s senior author.”

“A few years ago, Dr. [Alexander] Huth noticed that particular pieces of these maps — so-called context embeddings, which capture⟳ the semantic features, or meanings, of phrases — could be used to predict⟳ how the brain lights up in response to language.”

CEFR level