9 citations · 22 across the 11 of their papers we have counts for
16 papers
The trapezoid comparison inequality in metric spaces with curvature bounded above
Christof Schötz
Among four points of a CAT(0) space, the planar symmetric trapezoids are configurations on which Ptolemy's and Reshetnyak's inequalities are both equalities. We show that the symme…
Transformed Fréchet Means for Robust Estimation in Hadamard Spaces
Christof Schötz
We establish finite-sample error bounds in expectation for transformed Fréchet means in Hadamard spaces under minimal assumptions. Transformed Fréchet means provide a unifying fram…
Matters Arising: Spatial correlation in economic analysis of climate change
Christof Schötz
Climate change poses substantial risks to the global economy. Kotz, Levermann and Wenz (Nature, 2024) statistically analyzed economic and climate data, finding significant projecte…
Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data
Christof Schötz, Niklas Boers
Low-dimensional chaotic systems such as the Lorenz-63 model are commonly used to benchmark system-agnostic methods for learning dynamics from data. This study shows that learning f…
Rethinking Climate Econometrics: Data Cleaning, Flexible Trend Controls, and Predictive Validation
Christof Schötz, Jan Hassel, Christian Otto
We assess empirical models in climate econometrics using modern statistical learning techniques. Existing approaches are prone to outliers, ignore sample dependencies, and lack pri…
Generating time-consistent dynamics with discriminator-guided image diffusion models
Philipp Hess, Maximilian Gelbrecht, Christof Schötz +4
Realistic temporal dynamics are crucial for many video generation, processing and modelling applications, e.g. in computational fluid dynamics, weather prediction, or long-term cli…