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Laboratory Experiments of Model-based Reinforcement Learning for Adaptive Optics Control
(2024)arXivDirect imaging of Earth-like exoplanets is one of the most prominent scientific drivers of the next generation of ground-based telescopes. Typically, Earth-like exoplanets are located at small angular separations from their host stars, making their detection difficult. Consequently, the adaptive optics (AO) system's control algorithm must be carefully designed to distinguish the exoplanet from the residual light produced by the host ...Working Paper -
Elliptic curves and spin
(2024)arXivIt is interesting to recall that, in connexion with a lecture by Prof. R. Fueter at the 1932 Zurich Congress, Hilbert asserted that the theory of complex multiplication of elliptic modular functions which forms a powerful link between number theory and analysis, is not only the most beautiful part of mathematics but also of all science.Working Paper -
Mixed-Variable Graphical Modeling for Medical Record-Based Predictive Models: Learning Pressure Injury Onset in Spinal Cord Injury Individuals
(2024)Research SquareDeveloping machine learning (ML) methods for healthcare predictive modeling requires absolute explainability and transparency to build trust and accountability. Graphical models (GM) are key tools for this but face challenges like small sample sizes, mixed variables, and latent confounders. This paper presents a novel learning framework addressing these challenges by integrating latent variables using fast causal inference (FCI), accommodating ...Working Paper -
Beyond FITT - How Density Can Improve the Understanding of the Dose-Response Relationship Between Physical Activity and Brain Health
(2024)SportRxivResearch on physical activity and health, including planned and structured forms such as acute and chronic physical exercise, has focused on understanding potential dose-response relationships. Traditionally, the variables of (i) Frequency, (ii) Intensity, (iii) Time, (iv) and Type (known as the FITT principle) have been used to operationalize the dose of physical activity. In this article, we describe the limitations of FITT and propose ...Working Paper -
MoMuCAMS: A new modular platform for boundary layer aerosol and trace gas vertical measurements in extreme environments
(2024)EGUsphereThe Modular Multiplatform Compatible Air Measurement System (MoMuCAMS) is a newly developed in situ aerosol and trace gas measurement payload for lower atmospheric vertical profiling in extreme environments. MoMuCAMS is a multiplatform compatible system, primarily designed to be attached to a helikite, a rugged tethered balloon type that is suitable for operations in cold and windy conditions. The system addresses the need for detailed ...Working Paper -
Climate variability can outweigh the influence of climate mean changes for extreme precipitation under global warming
(2024)EGUsphereAs global warming progresses, weather conditions like daily temperature and precipitation are changing due to changes in their means and distributions of day-to-day variability. In this study, we show that changes in variability have a stronger influence on the number of extreme precipitation days than the change in the mean state in many locations. We analyze daily precipitation and maximum temperatures at four levels of global warming ...Working Paper -
Binary forms with the same value set II. The case of D4
(2024)arXivLet F, G ∈ Z[X, Y ] be binary forms of degree ≥ 3, non-zero discriminant and with automorphism group isomorphic to D4. If F(Z 2 ) = G(Z 2 ), we show that F and G are GL(2, Z)–equivalent.Working Paper -
The impact of decreasing horizontal grid spacing on the simulation of the mountain boundary layer in the hectometric range
(2024)arXivThe horizontal grid spacing of numerical weather prediction models keeps decreasing towards the hectometric range. We perform limited-area simulations with the ICON model across horizontal grid spacings (1 km, 500 m, 250 m, 125 m) in the Inn Valley, Austria, and evaluate the model with observations from the CROSSINN measurement campaign. This allows us to investigate whether increasing the horizontal resolution automatically improves the ...Working Paper -
6-torsion and integral points on quartic surfaces
(2024)arXivWe prove matching upper and lower bounds for the average of the 6-torsion of class groups of quadratic fields. Furthermore, we count the number of integer solutions on an affine quartic surface.Working Paper -
Averages of multiplicative functions along equidistributed sequences
(2024)arXivFor a general family of non-negative functions matching upper and lower bounds are established for their average over the values of any equidistributed sequence.Working Paper