47 citations · 272 across the 43 of their papers we have counts for
4 papers · 1 filter
Distributional Robustness and Uncertainty Quantification for Rare Events
Jeremiah Birrell, Paul Dupuis, Markos A. Katsoulakis +2
Rare events, and more general risk-sensitive quantities-of-interest (QoIs), are significantly impacted by uncertainty in the tail behavior of a distribution. Uncertainty in the tai…
Concentration Inequalities and UQ Bounds for Hypocoercive MCMC Samplers
Jeremiah Birrell, Luc Rey-Bellet
In this work we provide performance guarantees for hypocoercive non-reversible MCMC samplers with invariant measure ; our results apply in particular to the Langevin equ…
Quantification of Model Uncertainty on Path-Space via Goal-Oriented Relative Entropy
Jeremiah Birrell, Markos A. Katsoulakis, Luc Rey-Bellet
Quantifying the impact of parametric and model-form uncertainty on the predictions of stochastic models is a key challenge in many applications. Previous work has shown that the re…
Lepton Number and Expansion of the Universe
Cheng Tao Yang, Jeremiah Birrell, Johann Rafelski
We show that the non-integer effective number of neutrinos can be understood as an effect of lepton asymmetry in the early Universe carried by the Dirac ne…