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math.ST2025
Simultaneous Frequentist Calibration of Confidence Regions for Multiple Functionals in Constrained Inverse Problems
Pau Batlle, Pratik Patil, Michael Stanley +3
Many scientific analyses require simultaneous comparison of multiple functionals of an unknown signal at once, calling for multidimensional confidence regions with guaranteed simul…
math.ST2020
Consistency of Empirical Bayes And Kernel Flow For Hierarchical Parameter Estimation
Yifan Chen, Houman Owhadi, Andrew M. Stuart
Gaussian process regression has proven very powerful in statistics, machine learning and inverse problems. A crucial aspect of the success of this methodology, in a wide range of a…