embedding

English

Etymology

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.

Pronunciation

• IPA^(key): /ɪmˈbɛdɪŋ/, /ɛmˈbɛdɪŋ/

• Audio (Southern England):

  (file)

Noun

embedding (plural embeddings)

1. The act or process by which one thing is embedded in another.
2. (mathematics) 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. (machine learning, artificial intelligence) 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

   • 2017 April 13, Hannah Devlin, quoting Arvind Narayanan, “AI programs exhibit racial and gender biases, research reveals”, in The Guardian‎^[1], →ISSN:

     “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.

   • 2023 May 1, Oliver Whang, “A.I. Is Getting Better at Mind-Reading”, in The New York Times‎^[2], New York, N.Y.: The New York Times Company, →ISSN, →OCLC, archived from the original on 17 May 2023:

     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.

Derived terms

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

Translations

in mathematics

• Chinese:

  Mandarin: 嵌入 (zh) (qiànrù)

• Finnish: upotus (fi)
• French: plongement (fr) m
• German: Einbettung (de) f, Einschluss m
• Icelandic: greyping f
• Italian: immersione (it) f
• Portuguese: mergulho (pt) m
• Russian: вложе́ние (ru) n (vložénije)
• Swedish: inbäddning c

representation of a unit of text

• Russian: эмбе́ддинг (ru) m (embédding)

The translations below need to be checked and inserted above into the appropriate translation tables. See instructions at Wiktionary:Entry layout § Translations.

Translations to be checked

• Slovak: ^{(please verify)} vloženie n

Verb

embedding

1. present participle and gerund of embed

Further reading

• Word embedding on Wikipedia.Wikipedia