embedding

noun — 7 senses

embedding

noun

/ɪmˈbɛdɪŋ/ · /ɛmˈbɛdɪŋ/

Etymology From embed + -ing.

7 senses
  1. 1The act or process by which one thing is embedded in another.
  2. 2A continuous map which is also a homeomorphism between…
  3. 3An immersion which is also a topological embedding…
  4. 4A ring homomorphism between fields (the name deriving…
  5. 5A map between metric spaces which preserves distances up…
  6. 6An injective morphism in a concrete category which is…
  7. 7A representation of a unit of text (such as a word or…
1

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

› A map which, in any of several technical…

2

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

3

Mathematics, Sciences An immersion which is also a topological embedding; equivalently, a diffeomorphism whose image is a submanifold of its codomain.

Differential topology

4

Mathematics, Sciences A ring homomorphism between fields (the name deriving from the fact that all such maps are injective).

Field theory; Galois theory; field theory; Galois theory

5

Mathematical analysis, Mathematics, Sciences A map between metric spaces which preserves distances up to some scaling factor (called the distortion).

6

Category theory, Computing, Engineering, Mathematics, Natural sciences, Physical sciences, Sciences An injective morphism in a concrete category which is also initial.

7

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.

Machine learning; artificial intelligence; machine learning; artificial intelligence

  • 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.2017 April 13, Hannah Devlin, quoting Arvind Narayanan, “AI programs exhibit racial and gender biases, research reveals”, in The Guardian, →ISSN:
1 more example
  • 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.2023 May 1, Oliver Whang, “A.I. Is Getting Better at Mind-Reading”, in The New York Times, New York, N.Y.: The New York Times Company, →ISSN, →OCLC, archived from the original on 17 May 2023:
Derived terms
cryoembedding, deep embedding, embedding effect, Plücker embedding, postembedding, preembedding, self-embedding, shallow embedding, superembedding, Veronese embedding, Yoneda embedding

Entry derived from the Wiktionary, under licence CC BY-SA 4.0 — list of authors.