A key limitation of sampling algorithms for approximate inference is that it is difficult to quantify their approximation error. Widely used sampling schemes, such as sequential importance sampling with resampling and MetropolisHastings, produce output samples drawn from a distribution that may be far from the target posterior distribution. This paper shows how to upper-bound the symmetric KL d...

Abstract. Upper-tropospheric outflow is analysed in cloud-resolving large-eddy simulations. Thereby, the role of convective organization, latent heating, and other factors upper-tropospheric divergent-outflow variability from deep convection diagnosed using a set more than 80 simulations because outflows are thought to be an important feedback (organized) large-scale atmospheric flows; perturba...

We study numerically the first order radiative corrections to self-energy, in covariant loop quantum gravity. employ recently developed 'sl2cfoam-next' spinfoam amplitudes library, and some original numerical methods. analyze scaling of divergence with infrared cutoff, for which previous analytical estimates provided widely different lower upper bounds. Our findings suggest that is approximatel...

Introduction The study of tree rings is one of the most widely used methods of climate reconstruction for centuries and millennia, but the occurrence of climatic anomalies such as global warming in recent decades has caused divergence problem in the series of tree rings in some areas. Which challenges the ability of this proxy to regenerate the climate. The “divergence problem” is the differen...

In a previous paper, we have proposed a novel approach to choose an optimal p-power error criterion for adaptive filtering, by minimizing a Kullback-Leibler information divergence (KL-divergence). However, the method requires exact knowledge of the noise PDF, which reduces its practicality since in real life scenario the noise distribution is usually unknown. In the present paper, we propose a ...

This paper provides guaranteed upper energy error bounds for a modified lowest-order nonconforming Crouzeix-Raviart finite element method for the Stokes equations. The modification from [A. Linke 2014, On the role of the Helmholtz-decomposition in mixed methods for incompressible flows and a new variational crime] is based on the observation that only the divergence-free part of the right-hand ...

This paper considers an information theoretic min-max approach to the model selection problem. The aim of this approach is to select the member of a given parameterized family of probability models so as to minimize the worst-case KullbackLeibler divergence from an uncertain “truth” model. Uncertainty of the truth is specified by an upper-bound of the KL-divergence relative to a given reference...

Record linkage involves merging records in large, noisy databases to remove duplicate entities. It has become an important area because of its widespread occurrence in bibliometrics, public health, official statistics production, political science, and beyond. Traditional linkage methods directly linking records to one another are computationally infeasible as the number of records grows. As a ...

We extend the duality between exponential integrals and relative entropy to a variational formula for exponential integrals involving the Rényi divergence. This formula characterizes the dependence of risk-sensitive functionals to perturbations in the underlying distribution. It also shows that perturbations of related quantities determined by tail behavior, such as probabilities of rare events...