December 2024: Just finished two preprints!
The first one is with Takashi Goda and discusses a new simple algorithm to compute high-dimensional integrals. The special thing about this algorithm is its universality: It does not require the knowledge of the properties of the integrand. Instead, it automatically detects the important input variables as well as smoothness and this is reflected in the magnitude of error. (preprint at arXiv.org)
The second preprint is with Erich Novak and Mario Ullrich and of a more theoretical (and playful) nature. How many continuous measurements do you need to learn a vector with 500 coordinates? The answer was quite surprising to us, knowing that even 499 measurements are useless for linear measurements, and neither adaption nor non-linearity alone are any help. Both together, however, bring us down to only 10 measurements! (preprint at arXiv.org)
August 2024: Keynote lecture at MCQMC 2024.
My keynote lecture at the MCQMC 2024 in Waterloo (Canada) was well received. It was a pleasure and an honor to be invited to the 30th anniversary of this great conference series. You can check out my slides here: Dowload Slides (pdf)
April 2024: Joseph F. Traub Prize received.
I was awarded the 2024 Joseph F. Traub Prize for Achievement in Information-Based Complexity.
"This annual prize is for outstanding achievement in information-based complexity. Beginning with 2016 the price has been renamed to Joseph F. Traub Prize for Achievement in Information-Based Complexity. The prize consists of $3000, sponsored by Elsevier, and a plaque. The achievement can be based on work done in a single year, a number of years or over a lifetime."