10 citations · 42 across the 22 of their papers we have counts for
5 papers · 1 filter
A symmetric function approach to polynomial regression
Hans-Christian Herbig, Daniel Herden, Christopher Seaton
We give an explicit solution formula for the polynomial regression problem in terms of Schur polynomials and Vandermonde determinants. We thereby generalize the work of Chang, Deng…
Multigraded Hilbert series of invariants, covariants, and symplectic quotients for some rank Lie groups
Austin Barringer, Hans-Christian Herbig, Daniel Herden +3
We compute univariate and multigraded Hilbert series of invariants and covariants of representations of the circle and orthogonal group . The multigradings cons…
The Hilbert series of -invariants
Pedro de Carvalho Cayres Pinto, Hans-Christian Herbig, Daniel Herden +1
Let be a finite dimensional representations of the group of matrices with complex coefficients and determinant one. Let $R=\mathbb{C}[V]^{\ope…
The Hilbert series and -invariant of circle invariants
L. Emily Cowie, Hans-Christian Herbig, Daniel Herden +1
Let be a finite-dimensional representation of the complex circle determined by a weight vector . We study the Hilbert series $\op…
Local automorphisms of finitary incidence algebras
Jordan Courtemanche, Manfred Dugas, Daniel Herden
Let be a commutative, indecomposable ring with identity and a partially ordered set. Let denote the finitary incidence algebra of over . We will…