This paper studies separating invariants: mappings on D-dimensional domains which are
invariant to an appropriate group action and which separate orbits. The motivation for this …

Consider a real vector space $\mathcal {V} $ and a finite group $ G $ acting unitary on
$\mathcal {V} $. We study the general problem of constructing a stable embedding, whose …

Given a real inner product space V and a group G of linear isometries, max filtering offers a
rich class of G-invariant maps. In this paper, we identify nearly sharp conditions under which …

In this work, we present a mathematical formulation for machine learning of (1) functions on
symmetric matrices that are invariant with respect to the action of permutations by …

Towards a bilipschitz invariant theory - ScienceDirect Skip to main contentSkip to article
Elsevier logo Journals & Books Help Search My account Sign in View PDF Download full …

Consider a real vector space $\mathcal {V} $ and a finite group $ G $ acting unitarily on
$\mathcal {V} $. We study the general problem of constructing a stable embedding whose …

In this paper we construct two new families of invariant maps that separate the orbits of the
action of a finite Abelian group on a finite dimensional complex vector space. One of these …

The purpose of this paper is to investigate the quantum channels that preserve and also
separate the orbits of pure states under the action of a group unitary representation π. Such …

For an unknown finite group $ G $ of automorphisms of a finite-dimensional Hilbert space,
we find sharp bounds on the number of generic $ G $-orbits needed to recover $ G $ up to …

Given a real inner product space $ V $ and a group $ G $ of linear isometries, we construct a
family of $ G $-invariant real-valued functions on $ V $ that we call coorbit filter banks, which …