Posterior analysis of latent competing risk models by parallel tempering

Kozumi, Hideo

doi:10.1016/j.csda.2003.08.005

Cited by 8 publications

(6 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The other question that might come in mind is that PT should be a better choice for evaluating quantities like density of states and thermodynamic averages, rather than as an optimization strategy. However, it must also be kept in mind that the use of PT as an optimization tool [56][57][58][59][60] endowed with stochasticity is already pursued by other workers and is not totally uncommon, though not that frequent as other methods. If we look at the results presented by us using PT minutely, we see that in all the simulations on different sizes of the clusters, we report only those as our results, which are obtained after longtime samplings and are the equilibrium stable structures for that particular size.…”

Section: E Results On Coulomb Explosion Using the Basin Hopping Algomentioning

confidence: 99%

“…PT has found its use in large number of areas in recent activity. [46][47][48][49][50][51][52][53][54][55][56][57][58][59][60] We in Secs. II and III would like to discuss about the models and the potentials to be used, the philosophy of the PT technique and then go on to present the results in detail arising out of the use of PT on (X n ) 2+ PES from the point of view of coulomb explosion.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A parallel tempering based study of Coulombic explosion and identification of dissociating fragments in charged noble gas clusters

Talukder

Sen

Neogi

et al. 2013

The Journal of Chemical Physics

View full text Add to dashboard Cite

In this communication, we would like to test the feasibility of a parallel tempering based study of dissociation in dicationic noble gas clusters, namely, Ar(n)(2+), Kr(n)(2+), and Xe(n)(2+), where "n" is the size of the cluster units. We would like to find out the correct limit for sizes of each of these systems, above which the clusters stay intact as a single unit and does not dissociate into fragments by the process of Coulomb explosion. Moreover, we would also like to, for a specific case, i.e., Ar(n)(2+), study in detail the fragmentation patterns and point out the switchover from the non-fission way to the fission mechanism of dissociation. In all these calculations, we would like to analyse, how close we are in our predictions with that of experimental results. As a further check on the dissociating patterns found out by parallel tempering, we also conduct basin hopping based study on representative sizes of the clusters and find that parallel tempering, as used for this present work as an optimizer, is able to predict correct features when compared with other celebrated methods like the basin hopping algorithm.

show abstract

Section: E Results On Coulomb Explosion Using the Basin Hopping Algomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A parallel tempering based study of Coulombic explosion and identification of dissociating fragments in charged noble gas clusters

Talukder

Sen

Neogi

et al. 2013

The Journal of Chemical Physics

View full text Add to dashboard Cite

show abstract

“…98 Parallel tempering has also been utilized to locate the global minima of complex and rugged potential energy surfaces that arise in atomistic models of receptor-ligand docking 99 and in risk analysis. 100…”

Section: Spin Glassmentioning

confidence: 99%

Parallel tempering: Theory, applications, and new perspectives

Earl

Deem

2005

Phys. Chem. Chem. Phys.

1,276

1,152

View full text Add to dashboard Cite

We review the history of the parallel tempering simulation method. From its origins in data analysis, the parallel tempering method has become a standard workhorse of physicochemical simulations. We discuss the theory behind the method and its various generalizations. We mention a selected set of the many applications that have become possible with the introduction of parallel tempering, and we suggest several promising avenues for future research.

show abstract

“…Here we apply our methodology to a parallel tempering MCMC algorithm for a competing risk model implemented based on Section 4.1 of Kozumi (2004). Further details are given in Section 6.3 of the Appendix.…”

Section: Competing Risk Modelsmentioning

confidence: 99%

Non-asymptotic confidence intervals for MCMC in practice

Gyori¹,

Paulin²

2012

Preprint

View full text Add to dashboard Cite

Using concentration inequalities, we give non-asymptotic confidence intervals for estimates obtained by Markov chain Monte Carlo (MCMC) simulations, when using the approximationTo allow the application of non-asymptotic error bounds in practice, here we state bounds formulated in terms of the spectral properties of the chain and the properties of f and propose estimators of the parameters appearing in the bounds, including the spectral gap, mixing time, and asymptotic variance. We introduce a method for setting the burn-in time and the initial distribution that is theoretically well-founded and yet is relatively simple to apply. We also investigate the estimation of E π f via subsampling and by using parallel runs instead of a single run. Our results are applicable on both reversible and non-reversible Markov chains on discrete as well as general state spaces. We illustrate our methods by simulations for three examples of Bayesian inference in the context of risk models and clinical trials.

show abstract

Posterior analysis of latent competing risk models by parallel tempering

Cited by 8 publications

References 36 publications

A parallel tempering based study of Coulombic explosion and identification of dissociating fragments in charged noble gas clusters

A parallel tempering based study of Coulombic explosion and identification of dissociating fragments in charged noble gas clusters

Parallel tempering: Theory, applications, and new perspectives

Non-asymptotic confidence intervals for MCMC in practice

Contact Info

Product

Resources

About