Ibrahim Almuslimani (EPFL)
Stabilized and Adaptive Time-Stepping Schemes in GENE-X abstract
Abstract:
We present recent developments in advanced time-stepping for GENE-X, a global, nonlinear, electromagnetic, and collisional full-f gyrokinetic code. Standard approaches such as RK4 or operator splitting can be inefficient, requiring overly small timesteps, spending more time per step, and/or introducing additional errors. To address this, we have implemented two new schemes: RK43, an adaptive Runge–Kutta scheme that dynamically adjusts the timestep based on local error estimates, and PIROCK (Partitioned Runge–Kutta–Chebyshev), which treats stiff diffusion terms appearing in the collision and neutrals operators with an explicit stabilized method while handling advection terms with standard Runge–Kutta steps. Importantly, PIROCK achieves this without relying on operator splitting, treating the full system within a unified framework and thereby requiring fewer function evaluations per timestep than splitting approaches. Preliminary tests indicate that both approaches significantly improve efficiency compared to existing schemes. We will also discuss ongoing optimization efforts and outline possible future directions for enhancing large-scale gyrokinetic simulations.
11:00 • Université de Genève, Conseil Général 7-9, Room 1-05
Tim Göttlicher (Aalto University)
A Post-Quantum Lower Bound for the Locality of Sinkless Orientation abstract
Abstract:
Sinkless orientation is a special case of the Lovász Local Lemma problem, and is one of the most important problems in the theory of locality and distributed graph algorithms. We prove a lower bound for sinkless orientation in the Online-Local model, showing that the locality is 2^Ω(log*(n)). Since the Online-Local model is the strongest among a class of models of locality, this lower bound transfers to the round complexity of quantum distributed networks (the Quantum-Local model) and other variants of locality. To obtain these results, we develop an entirely new, self-contained technique, with the potential to be generalized to other important problems in the context of locality.
13:00 • EPF Lausanne, INJ114
Stephen Senn (The University of Sheffield, The Medical University of Vienna and The University of St Andrews)
Standard errors in representing Fisher’s views on randomisation abstract
Abstract:
One hundred years ago, RA Fisher proposed randomisation as a solution to a problem in designing trials in agriculture[1]. However, if curiosity impels a modern statistician to look up Fisher’s anniversary paper they may be in for a shock. Randomisation is usually presented as a device for eliminating bias in treatment estimates. Fisher does not start his paper by addressing this but opens as follows with another concern:“The present position of the art of field experimentation is one of rather special interest. For more than fifteen years the attention of agriculturalists has been turned to the errors of field experiments…much ingenuity has been expended in devising plans for the proper arrangement of the plots; and not without result, for there can be little doubt that the standard of accuracy has been materially, though very irregularly, raised…an estimate of field errors derived from any particular experiment may or may not be a valid estimate, and in actual field practice is usually not a valid estimate, of the averages or differences of averages of which it is required to estimate the error.” (p503)The units in agricultural experiments are plots in a field and yields from such plots cannot be regarded as independent but instead have a complex but poorly estimable spatial correlation. Medical statisticians such as myself, who are used to dealing with patients as the unit of experimentation may underestimate the formidable difficulties that such correlation structures present for the calculation of valid standard errors. It is the valid calculation of such standard errors that form the central concern of Fisher’s 1926 paper and randomisation was proposed by him as a way of finessing the issue of the correlation structure.In this talk I shall cover various issues addressed by Fisher in his 1926 paper and argue that it is an all-too-common standard error to concentrate on the value or otherwise of randomisation in calculating point estimates. We should be much more concerned with inference as a whole, which can be approximately satisfied by thinking not only of point estimates but also of standard errors. If time permits, I shall also consider some modern trends where ignoring uncertainty seems to be leading to danger.ReferenceFisher, R. A. (1926). The arrangement of field experiments. Journal of the Ministry of Agriculture of Great Britain, 33(6), 503-513.
15:15 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room D 1.2
Alessio Di Prisa (Scuola Normale Superiore (Pisa))
Every negative amphichiral knot is rationally slice abstract
Abstract:
In this talk, we prove that every negative amphichiral link is rationally slice, generalizing a result due to Kawauchi in 2009. The proof relies on a systematic analysis of the action induced by the negative amphichiral map on the JSJ decomposition of the link exterior. Using the same techniques, we show that every fibered negative amphichiral knot is strongly negative amphichiral, answering a question asked by Kim and Wu in 2016 on Miyazaki knots. This is joint work with Jaewon Lee (KAIST, Daejeon) and Oğuz Şavk (METU, Ankara).