Gruppe

term_id: group

Category: basic_concepts

Definition

In mathematics and theoretical computer science, a group is a set G together with a binary operation that satisfies four axioms: closure, associativity, identity, and invertibility. In AI, group theory is often applied to handle symmetries in data.

Summary

En fundamental matematisk struktur bestående af en mængde udstyret med en operation, der kombinerer ethvert to elementer til et tredje element.

Key Concepts

  • Symmetri
  • Invarians
  • Geometrisk dyb læring
  • Algebraisk struktur

Use Cases

  • Rotations-ekvivariante neurale netværk
  • Krystalstrukturforudsigelse
  • Fysik-informeret maskinlæring