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On the equivariant Betti numbers of symmetric definable sets: vanishing, bounds and algorithms
Saugata Basu, Cordian Riener
Optimization approaches to quadrature: new characterizations of Gaussian quadrature on the line and quadrature with few nodes on plane algebraic curves, on the plane and in higher dimensions
Cordian Riener, Markus Schweighofer
Bounding the equivariant Betti numbers of symmetric semi-algebraic sets
Saugata Basu, Cordian Riener
On irreducible components of real exponential hypersurfaces
Cordian Riener, Nicolai Vorobjov
Bounds on the individual Betti numbers of complex varieties, stability and algorithms
Saugata Basu, Cordian Riener
Deciding positivity of multisymmetric polynomials
Paul Görlach, Cordian Riener, Tillmann Weißer
Symmetric semi-algebraic sets and non-negativity of symmetric polynomials
Cordian Riener
Exploiting symmetries in SDP-relaxations for polynomial optimization
Cordian Riener, Thorsten Theobald, Lina Jansson Andrén, Jean B Lasserre
A note on extrema of linear combinations of elementary symmetric functions
Alexander Kovačec, Salma Kuhlmann, Cordian Riener
On the degree and half-degree principle for symmetric polynomials
Cordian Riener