We introduce a methodology for performing approximate computations in very complex probabilistic systems (e.g. huge pedigrees). Our approach, called blocking Gibbs, combines exact local computations with Gibbs sampling in a way that complements the strengths of both. The methodology is illustrated on a real-world problem involving a heavily inbred pedigree containing 20;000 individuals. We pres...

We consider various versions of adaptive Gibbs and Metropoliswithin-Gibbs samplers, which update their selection probabilities (and perhaps also their proposal distributions) on the fly during a run, by learning as they go in an attempt to optimise the algorithm. We present a cautionary example of how even a simple-seeming adaptive Gibbs sampler may fail to converge. We then present various pos...

Models of quantum and classical particles on the d–dimensional lattice ZZ with pair interparticle interactions are considered. The classical model is obtained from the corresponding quantum one when the reduced physical mass of the particle m = μ/h̄ tends to infinity. For these models, it is proposed to define the convergence of the Euclidean Gibbs states, when m → +∞, by the weak convergence of...

We develop a space-time large-deviation point of view on Gibbs-non-Gibbs transitions in spin systems subject to a stochastic spinflip dynamics. Using the general theory for large deviations of functionals of Markov processes outlined in a recent book by Feng and Kurtz, we show that the trajectory under the spin-flip dynamics of the empirical measure of the spins in a large block in Z satisfies ...

We review a simple model of closed economy, where the economic agents make money transactions and a saving criterion is present. We observe the Gibbs distribution for zero saving propensity, and non-Gibbs distributions otherwise. While the exact solution in the case of zero saving propensity is already known to be given by the Gibbs distribution, here we provide the explicit analytical form of ...

*Correspondence: Rudolf A. Treumann, International Space Science Institute, Hallerstrasse 6, CH-3012 Bern, Switzerland e-mail: [email protected] We propose a generalization of Gibbs’ statistical mechanics into the domain of non-negligible phase space correlations. Derived are the probability distribution and entropy as a generalized ensemble average, replacing Gibbs-Boltzmann-Shannon’s entro...

We introduce a new objective function for pool-based Bayesian active learning with probabilistic hypotheses. This objective function, called the policy Gibbs error, is the expected error rate of a random classifier drawn from the prior distribution on the examples adaptively selected by the active learning policy. Exact maximization of the policy Gibbs error is hard, so we propose a greedy stra...

Abstract Fluoride contamination in groundwater is known from different villages of Talupula Mandal. In the present study part SoI toposheet no.57 J/8) Ananthapuramu district, Andhra Pradesh, magnitude and credible geogenic sources fluoride are studied. The carried out includes 30 samples covering an area 442.89 sq km using (GIS) (CCME-WQI) techniques. Problem causally related to intoxication hu...

The equations of state different phases in the CaSiO3 system (wollastonite, pseudowollastonite, breyite (walstromite), larnite (Ca2SiO4), titanite-structured CaSi2O5 and CaSiO3-perovskite) are constructed using a thermodynamic model based on Helmholtz free energy. We used known experimental measurements heat capacity, enthalpy, thermal expansion at zero pressure high temperatures, volume pressu...