Sampling normalizing constants in high dimensions using inhomogeneous diffusions. ArXiv e-prints, 2016. ,
A comparative study of Monte Carlo methods for efficient evaluation of marginal likelihood, Computational Statistics & Data Analysis, vol.56, issue.11, pp.563398-3414, 2012. ,
DOI : 10.1016/j.csda.2010.09.001
From microphysics to macrophysics: methods and applications of statistical physics, 2007. ,
DOI : 10.1007/978-3-540-45475-5
Tuning tempered transitions, Statistics and Computing, vol.59, issue.4, pp.65-78, 2012. ,
DOI : 10.1007/978-1-4757-3071-5
URL : http://arxiv.org/pdf/1010.0842
Error Bounds and Normalising Constants for Sequential Monte Carlo Samplers in High Dimensions, Advances in Applied Probability, vol.3, issue.01, pp.279-306, 2014. ,
DOI : 10.1214/10-AIHP358
Concentration inequalities: a nonasymptotic theory of independence, 2013. ,
DOI : 10.1093/acprof:oso/9780199535255.001.0001
URL : https://hal.archives-ouvertes.fr/hal-00794821
Geometry of isotropic convex bodies, 2014. ,
DOI : 10.1090/surv/196
Supplement to " Normalizing constants of log-concave densities " . working paper or preprint, 2017. ,
Monte Carlo methods in Bayesian computation, 2000. ,
DOI : 10.1007/978-1-4612-1276-8
Bypassing KLS, Proceedings of the Forty-Seventh Annual ACM on Symposium on Theory of Computing, STOC '15, pp.539-548, 2015. ,
DOI : 10.1145/12130.12176
Theoretical guarantees for approximate sampling from smooth and log-concave densities, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.91, issue.3, p.2016 ,
DOI : 10.1016/j.spl.2014.04.002
URL : http://arxiv.org/pdf/1412.7392
Feynman-Kac formulae. Probability and its Applications, Genealogical and interacting particle systems with applications, pp.978-979, 2004. ,
URL : https://hal.archives-ouvertes.fr/inria-00533438
Multilevel sequential Monte Carlo samplers for normalizing constants ArXiv e-prints, 2016. ,
DOI : 10.1145/3092841
Non-asymptotic convergence analysis for the unadjusted Langevin algorithm, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01176132
High-dimensional Bayesian inference via the unadjusted Langevin algorithm, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01304430
Bayes Model Selection with Path Sampling: Factor Models and Other Examples, Statistical Science, vol.28, issue.1, pp.95-115, 2013. ,
DOI : 10.1214/12-STS403
URL : http://doi.org/10.1214/12-sts403
Computing the volume of convex bodies: a case where randomness provably helps, Probabilistic combinatorics and its applications, pp.123-170, 1991. ,
DOI : 10.1090/psapm/044/1141926
A computer simulation of charged particles in solution. I. Technique and equilibrium properties, The Journal of Chemical Physics, vol.62, issue.10, pp.4189-4196, 1975. ,
DOI : 10.1063/1.1699114
Measure theory and fine properties of functions, 2015. ,
Estimating the evidence - a review, Statistica Neerlandica, vol.6, issue.3, pp.288-308, 2012. ,
DOI : 10.1214/11-BA620
Improving power posterior estimation of statistical evidence, Statistics and Computing, vol.60, issue.2, pp.709-723, 2014. ,
DOI : 10.1093/sysbio/syq085
Simulating normalizing constants: from importance sampling to bridge sampling to path sampling, Statistical Science, vol.13, issue.2, pp.163-185, 1998. ,
DOI : 10.1214/ss/1028905934
URL : http://www.cis.upenn.edu/~taskar/courses/cis700-sp08/papers/gelman-meng.pdf
Approximation algorithms for the normalizing constant of Gibbs distributions, The Annals of Applied Probability, vol.25, issue.2, pp.974-98514, 2015. ,
DOI : 10.1214/14-AAP1015
Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach, Physical Review E, vol.21, issue.5, p.5018, 1997. ,
DOI : 10.1063/1.1699114
URL : http://arxiv.org/pdf/cond-mat/9707325
Markov Chain Monte Carlo Methods and the Label Switching Problem in Bayesian Mixture Modeling, URL https, pp.50-67, 2005. ,
DOI : 10.1214/088342305000000016
Multilevel particle filters: normalizing constant estimation, Statistics and Computing, vol.24, issue.1, pp.1-14, 2016. ,
DOI : 10.1007/978-3-662-12616-5
URL : http://arxiv.org/pdf/1605.04963
Random generation of combinatorial structures from a uniform distribution, Theoretical Computer Science, vol.43, pp.169-188, 1986. ,
DOI : 10.1016/0304-3975(86)90174-X
Curvature, concentration and error estimates for Markov chain Monte Carlo, The Annals of Probability, vol.38, issue.6, pp.2418-244210 ,
DOI : 10.1214/10-AOP541
URL : http://doi.org/10.1214/10-aop541
Bayesian evidence and model selection, S1051200415001980. Special Issue in Honour of William J. (Bill) Fitzgerald, pp.50-67, 2015. ,
DOI : 10.1016/j.dsp.2015.06.012
Free energy computations: A mathematical perspective, World Scientific, 2010. ,
Importance sampling methods for Bayesian discrimination between embedded models, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00424475
Stability of Markovian processes iii: Foster- Lyapunov criteria for continuous-time processes, Advances in Applied Probability, pp.518-548, 1993. ,
Sequential Monte Carlo samplers, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.55, issue.3, pp.411-436, 2006. ,
DOI : 10.1007/978-1-4757-4145-2
URL : https://hal.archives-ouvertes.fr/hal-01669115
Annealed importance sampling, Brosse, A.Durmus, ´ E.Moulines/Normalizing constants of log-concave densities 46, pp.125-139, 2001. ,
DOI : 10.1023/A:1008923215028
Introductory lectures on convex optimization: A basic course, 2013. ,
DOI : 10.1007/978-1-4419-8853-9
Fixed Precision MCMC Estimation by Median of Products of Averages, Journal of Applied Probability, vol.1, issue.02, pp.309-329, 2009. ,
DOI : 10.1016/0890-5401(89)90067-9
The Controlled Thermodynamic Integral for Bayesian Model Evidence Evaluation, Journal of the American Statistical Association, vol.56, issue.514, pp.634-645, 2016. ,
DOI : 10.1093/bioinformatics/btm607
Correlation functions and computer simulations, Nuclear Physics B, vol.180, issue.3, pp.378-384, 1981. ,
DOI : 10.1016/0550-3213(81)90056-0
Maximum-a-posteriori estimation with Bayesian confidence regions. arXiv preprint, 2016. ,
DOI : 10.1137/16m1071249
URL : http://arxiv.org/abs/1602.08590
Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability, Journal of Multivariate Analysis, vol.6, issue.4, pp.608-616, 1976. ,
DOI : 10.1016/0047-259X(76)90008-7
R: a language and environment for statistical computing. R Foundation for Statistical Computing ,
On Bayesian Analysis of Mixtures with an Unknown Number of Components (with discussion), Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.59, issue.4, pp.731-792, 1997. ,
DOI : 10.1111/1467-9868.00095
The Bayesian choice: from decision-theoretic foundations to computational implementation, 2007. ,
DOI : 10.1007/978-1-4757-4314-2
Exponential Convergence of Langevin Distributions and Their Discrete Approximations, Bernoulli, vol.2, issue.4, pp.341-363, 1996. ,
DOI : 10.2307/3318418
Monte Carlo Estimation of the Free Energy by Multistage Sampling, The Journal of Chemical Physics, vol.4, issue.12, pp.5457-5462, 1972. ,
DOI : 10.1351/pac197022030303
Optimal transport: old and new, 2008. ,
DOI : 10.1007/978-3-540-71050-9
Regression analysis, 1959. ,
Estimating the statistical evidence -a review URL https, 2011. ,
Toward Automatic Model Comparison: An Adaptive Sequential Monte Carlo Approach, Journal of Computational and Graphical Statistics, vol.56, issue.3, p.2015 ,
DOI : 10.1080/02664763.2013.772569
URL : http://www.tandfonline.com/doi/pdf/10.1080/10618600.2015.1060885?needAccess=true