3 papers
math.ST2025
Spatial Confidence Regions for Piecewise Continuous Processes
Thomas J. Maullin-Sapey, Fabian J. E. Telschow
In scientific disciplines such as neuroimaging, climatology, and cosmology it is useful to study the uncertainty of excursion sets of imaging data. While the case of imaging data o…
math.GN2025
Regularity Conditions for Critical Point Convergence
Thomas J. Maullin-Sapey, Samuel Davenport
We focus on a sequence of functions , defined on a compact manifold with boundary , converging in the metric to a limit . A common assumption implicitly made i…
stat.ME2025
Spatial Confidence Regions for Excursion Sets with False Discovery Rate Control
Howon Ryu, Thomas Maullin-Sapey, Armin Schwartzman +1
Identifying areas where the signal is prominent is an important task in image analysis, with particular applications in brain mapping. In this work, we develop confidence regions f…