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 …

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 max filters. In the case where V= R d …

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 …

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In image and audio signal classification, a major problem is to build stable representations
that are invariant under rigid motions and, more generally, to small diffeomorphisms …

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 …

A separating algebra is, roughly speaking, a subalgebra of the ring of invariants whose
elements distinguish between any two orbits that can be distinguished using invariants. In …

We define a generic separating set of invariant functions (aka a weak functional basis) for
tensors. We then produce two generic separating sets of polynomial invariants for three …

The main purpose of this paper is to give a survey of algorithms in invariant theory, with
emphasis on nonreductive groups and on recent developments. But the article has some …

Plusieurs lois de comportement mécaniques possèdent une formulation tensorielle, comme
c'est par exemple le cas pour l'étude des matériaux élastiques. Dans ce cas in-tervient un …