Logo des Repositoriums

Auflistung nach Autor:in "Lange-Hegermann, Markus"

1 - 3 von 3
  • Zeitschriftenartikel
    The homalg project
    (Computeralgebra-Rundbrief: Vol. 26, No. 2, 2012) Barakat, Mohamed; Lange-Hegermann, Markus
    Mohamed Barakat, Markus Lange-Hegermann (TU Kaiserslautern, RWTH-Aachen) barakat@mathematik.uni-kl.de markus.lange.hegermann@rwth-aachen.de filtration, etc. We use these properties in applications to algebraic system theory, an ongoing work with Q UADRAT and C LUZEAU. Building on this infrastructure the project supports applications to algebraic geometry. This includes a constructive version of the BGGcorrespondence, TATE resolutions of coherent sheaves on projective schemes, their characteristic classes and cohomology, higher direct images under morphisms to affine spaces, divisors, etc. Recently, G UTSCHE contributed a package for toric varieties.
  • Zeitschriftenartikel
    The homalg project
    (Computeralgebra-Rundbrief: Vol. 51, 2012) Barakat, Mohamed; Lange-Hegermann, Markus
  • Konferenzbeitrag
    Priors for Linear Differential Equations
    (INFORMATIK 2019: 50 Jahre Gesellschaft für Informatik – Informatik für Gesellschaft, 2019) Lange-Hegermann, Markus
    We algorithmically construct multi-output Gaussian process priors which satisfy linear differential equations. We parametrize all solutions of the differential equations using Gröbner bases for controllable systems. If successful, a push forward along the parametrization is the desired prior. This prior yields an interpretable machine learning model, which can combine linear differential equations with noisy data points.