A function is said to be an equivariant map when its domain and codomain are acted on by the same symmetry group, and when the function commutes with the ...

15 нояб. 2021 г. · The definition of equivariant map doesn't have anything to do with the induced action of G in S. It is just a notion of action-preservingness of a function. What's a very simple example of an equivariant map? Equivariant map between two vector spaces definition and ... Why a map is equivariant if and only if it ... - Math Stack Exchange Другие результаты с сайта math.stackexchange.com

equivariant NNs are sequences of equivariant layers: invariant NNs are usually built from 1) equivariant layers, 2) an invariant map and 3) a final MLP: ...

16 сент. 2022 г. · 1. Idea. An equivariant function is a homomorphism between two G-sets: f : X ⟶ Y f ( g ⋅ x ) = g ⋅ f ( x ) ∀ g ∈ G ∀ x ∈ X.

In mathematics, equivariant topology is the study of topological spaces that possess certain symmetries.

8 июл. 2019 г. · We study equivariant linear maps between finite-dimensional matrix algebras, as introduced in [1]. These maps satisfy an algebraic property ...

19 февр. 2012 г. · The corresponding equivariant map superalgebra is the Lie superalgebra of equivariant regular maps from X to \mathfrak{g}.

In this paper, we develop a theory about the relationship between invariant and equivariant maps with regard to a group $G$.

24 июн. 2020 г. · The map Φ is O(n)-equivariant by construction (we defined it on each orbit by taking a representative and applying the action). Finally, Φ ...