3 papers
math.NA2024
Randomized sketching of nonlinear eigenvalue problems
Stefan Güttel, Daniel Kressner, Bart Vandereycken
Rational approximation is a powerful tool to obtain accurate surrogates for nonlinear functions that are easy to evaluate and linearize. The interpolatory adaptive Antoulas--Anders…
math.NA2024
A sketch-and-select Arnoldi process
Stefan Güttel, Igor Simunec
A sketch-and-select Arnoldi process to generate a well-conditioned basis of a Krylov space at low cost is proposed. At each iteration the procedure utilizes randomized sketching to…
cs.LG2024
Fast and explainable clustering based on sorting
Xinye Chen, Stefan Güttel
We introduce a fast and explainable clustering method called CLASSIX. It consists of two phases, namely a greedy aggregation phase of the sorted data into groups of nearby data poi…