embedding

plural embeddings

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. mathematicsA continuous map which is also a homeomorphism between its domain and its image (considered with the subspace topology induced by its codomain).
   2. differential topologymathematicsAn immersion which is also a topological embedding; equivalently, a diffeomorphism whose image is a submanifold of its codomain.
   3. field theory; Galois theory; field theory; Galois theorymathematicsA ring homomorphism between fields (the name deriving from the fact that all such maps are injective).
   4. mathematical analysisA map between metric spaces which preserves distances up to some scaling factor (called the distortion).
   5. category theoryAn injective morphism in a concrete category which is also initial.
3. machine learning; artificial intelligence; machine learning; artificial intelligenceA 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

   2 more examples

   “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

   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

1. gerundparticiplepresentpresent participle and gerund of embed