3 papers
math.NA2020
Balanced truncation for parametric linear systems using interpolation of Gramians: a comparison of algebraic and geometric approaches
Nguyen Thanh Son, Pierre-Yves Gousenbourger, Estelle Massart +1
When balanced truncation is used for model order reduction, one has to solve a pair of Lyapunov equations for two Gramians and uses them to construct a reduced-order model. Althoug…
cs.IT2018
Blended smoothing splines on Riemannian manifolds
Pierre-Yves Gousenbourger, Estelle Massart, P. -A. Absil
We present a method to compute a fitting curve B to a set of data points d0,...,dm lying on a manifold M. That curve is obtained by blending together Euclidean Bézier curves obtain…
math.NA2018
A variational model for data fitting on manifolds by minimizing the acceleration of a Bézier curve
Ronny Bergmann, Pierre-Yves Gousenbourger
We derive a variational model to fit a composite Bézier curve to a set of data points on a Riemannian manifold. The resulting curve is obtained in such a way that its mean squared…