5 papers
What Drives AI Citations? Content, Retrieval and Model Knowledge in Generative Engine Optimization (GEO)
Mahe Chen, Nick Koudas
Generative search engines such as ChatGPT, Gemini and Perplexity now decide which Web pages users see as sources, and a growing industry of generative engine optimization advises p…
Rectangular Multispectral Perturbation Theory
Christof Vermeersch, Sarthak De, Bart De Moor
We provide a first systematic treatment of so-called rectangular multispectral perturbation theory. With their paper from 2003, Hochstenbach and Plestenjak ["Backward Error, Condit…
Solving Multivariate Polynomial Systems and Rectangular Multiparameter Eigenvalue Problems with MacaulayLab
Christof Vermeersch, Bart De Moor
We present the Matlab toolbox MacaulayLab, which implements numerical linear algebra algorithms for solving multivariate polynomial systems and rectangular multiparameter eigenvalu…
Computing the Pareto Front by Polynomial Elimination, With an Application From System Identification
Hans van Rooij, Christof Vermeersch, Marie Deferme +1
We propose a novel numerical approach to compute the Pareto front in multivariate polynomial multi-objective optimization problems. When the objective functions and (equality) cons…
Incorporating Fixed-Pole Information in the Data-Driven Least Squares Realization Problem
Christof Vermeersch, Sibren Lagauw, Bart De Moor
In practical least squares realization problems, partial information about the pole locations of the dynamical model may be known a priori. Existing techniques for incorporating th…