embedding

The act or process by which one thing is embedded in another.

Noun

  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.
    1. (topology) A continuous map which is also a homeomorphism between its domain and its image (considered with the subspace topology induced by its codomain).

    2. (differential topology) An immersion which is also a topological embedding; equivalently, a diffeomorphism whose image is a submanifold of its codomain.

    3. (field theory, Galois theory) A ring homomorphism between fields (the name deriving from the fact that all such maps are injective).

    4. (mathematical analysis) A map between metric spaces which preserves distances up to some scaling factor (called the distortion).

    5. (category theory) An injective morphism in a concrete category which is also initial.

  3. 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.
    • 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...
    • 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...

Origin

Etymology tree Proto-Indo-European *h₁én Proto-Italic *en Proto-Italic *en- Latin in- Old French en-bor. Middle English en- English em- Proto-Germanic *badją Proto-West Germanic *badi Old English bedd Middle English bed English bed English embed English -ing English embedding From embed + -ing.

Forms

embeddings

Derived

cryoembedding deep embedding embedding effect Plücker embedding postembedding preembedding self-embedding shallow embedding superembedding Veronese embedding Yoneda embedding

Verb

  1. present participle and gerund of embed