I present a new Markov chain sampling method appropriate for distributions with isolated modes. Like the recently-developed method of \simulated tempering", the \tempered transition" method uses a series of distributions that interpolate between the distribution of interest and a distribution for which sampling is easier. The new method has the advantage that it does not require approximate val...

In this paper, we propose to estimate the normalizing constants for simulated tempering by a modified histogram algorithm, the so-called contour Monte Carlo algorithm, and compare the efficiency of simulated tempering and parallel tempering. Our analysis reveals that simulated tempering tends to mix faster than parallel tempering at low temperature levels for simulating from complex systems. Th...

Mechanical properties of dissimilar weld joints between GOST09ch16N4B (a martensitic stainless steel) and AISI 4130 thin sheets made by gas tungsten arc welding (GTAW) were studied using ER410NiMo and ER100S-G filler metals in post weld heat treated conditions. Heat treatment cycles consisted of austenitization at 900, 950 and 1000 °C for 1 h and this was followed by oil cooling and tempering a...

In this paper we demonstrate that tempering Markov chain Monte Carlo samplers for Bayesian models by recursively subsampling observations without replacement can improve the performance of baseline samplers in terms of effective sample size per computation. We present two tempering by subsampling algorithms, subsampled parallel tempering and subsampled tempered transitions. We provide an asympt...

We derive new results comparing the asymptotic variance of diffusions by writing them as appropriate limits of discrete-time birth–death chains which themselves satisfy Peskun orderings. We then apply our results to simulated tempering algorithms to establish which choice of inverse temperatures minimises the asymptotic variance of all functionals and thus leads to the most efficient MCMC algor...

Cryogenic treatment can be used as a supplemental treatment that is performed on some tool steels between quenching and tempering as an effective method for decreasing retained austenite and increasing wear resistance. In this research, the effect of deep cryogenic treatment (DCT) on dimensional stability and mechanical properties of 80CrMo12 5 tool steel was investigated. The martensitic trans...

Simulated and parallel tempering are families of Markov Chain Monte Carlo algorithms where a temperature parameter is varied during the simulation to overcome bottlenecks to convergence due to multimodality. In this work we introduce and analyze the convergence for a set of new tempering distributions which we call entropy dampening. For asymmetric exponential distributions and the mean field I...

mechanical properties of dissimilar weld joints between gost09ch16n4b (a martensitic stainless steel) and aisi 4130 thin sheets made by gas tungsten arc welding (gtaw) were studied using er410nimo and er100s-g filler metals in post weld heat treated conditions. heat treatment cycles consisted of austenitization at 900, 950 and 1000 °c for 1 h and this was followed by oil cooling and tempering a...