Michael (Mike) Stanley
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2023
2022
Optimization-based frequentist confidence intervals for functionals in constrained inverse problems: Resolving the Burrus conjecture
We present an optimization-based framework to construct confidence intervals for functionals in constrained inverse problems, ensuring …
Pau Batlle, Pratik Patil,
Michael Stanley
, Houman Owhadi, Mikael Kuusela
Preprint
Estimating Posterior Uncertainty via a Data Assimilation Specialized Monte Carlo Procedure
Through the Bayesian lens of data assimilation, uncertainty on model parameters is traditionally quantified through the posterior …
Michael Stanley
, Mikael Kuusela, Junjie Liu, Brendan Byrne
Preprint
Uncertainty quantification for wide-bin unfolding: one-at-a-time strict bounds and prior-optimized confidence intervals
Unfolding is an ill-posed inverse problem in particle physics aiming to infer a true particle-level spectrum from smeared …
Michael Stanley
, Pratik Patil, Mikael Kuusela
Preprint
Code
DOI
Uncertainty quantification of the 4th kind; optimal posterior accuracy-uncertainty tradeoff with the minimum enclosing ball
Uncertainty quantification (UQ) is, broadly, the task of determining appropriate uncertainties to model predictions. There are …
Hamed Hamze Bajgiran, Pau Batlle Franch, Houman Owhadi, Clint Scovel, Mahdy Shirdel,
Michael Stanley
, Peyman Tavallali
Preprint
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DOI
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