Markov Chain Monte Carlo methods


TBD. Sampling from approximate distributions by reweighting.

Art Owen’s Importance sampling chapter

Ben Rached, N., A. Kammoun, M.-S. Alouini, and R. Tempone. 2016. “Unified Importance Sampling Schemes for Efficient Simulation of Outage Capacity over Generalized Fading Channels.” IEEE Journal of Selected Topics in Signal Processing 10 (2, 2): 376–88. https://doi.org/10.1109/JSTSP.2015.2500201.
Ben Rached, Nadhir, Zdravko Botev, Abla Kammoun, Mohamed-Slim Alouini, and Raul Tempone. 2018. “Importance Sampling Estimator of Outage Probability Under Generalized Selection Combining Model.” In Proc of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 5. https://doi.org/10.1109/ICASSP.2018.8462177.
Blanchet, Jose, and Henry Lam. 2012. “State-Dependent Importance Sampling for Rare-Event Simulation: An Overview and Recent Advances.” Surveys in Operations Research and Management Science 17 (1, 1): 38–59. https://doi.org/10.1016/j.sorms.2011.09.002.
Botev, Zdravko I., Pierre L’Ecuyer, and Bruno Tuffin. 2013. “Markov Chain Importance Sampling with Applications to Rare Event Probability Estimation.” Statistics and Computing 23 (2, 2): 271–85. https://doi.org/10.1007/s11222-011-9308-2.
Burda, Yuri, Roger Grosse, and Ruslan Salakhutdinov. 2016. “Importance Weighted Autoencoders.” In. http://arxiv.org/abs/1509.00519.
Cremer, Chris, Quaid Morris, and David Duvenaud. 2017. “Reinterpreting Importance-Weighted Autoencoders.” In ICLR 2017. http://arxiv.org/abs/1704.02916.
Hadjis, Stefan, and Stefano Ermon. n.d. “Importance Sampling over Sets: A New Probabilistic Inference Scheme.” Accessed July 18, 2015. http://auai.org/uai2015/proceedings/papers/143.pdf.
Kappen, H. J., and H. C. Ruiz. 2016. “Adaptive Importance Sampling for Control and Inference.” Journal of Statistical Physics 162 (5): 1244–66. https://doi.org/10.1007/s10955-016-1446-7.
Karampatziakis, Nikos, and John Langford. 2010. “Online Importance Weight Aware Updates.” November 6, 2010. http://arxiv.org/abs/1011.1576.
Kong, A. 2014. “Importance Sampling.” In Wiley StatsRef: Statistics Reference Online. American Cancer Society. https://doi.org/10.1002/9781118445112.stat05402.
Kong, Augustine. 1992. “A Note on Importance Sampling Using Standardized Weights.” https://galton.uchicago.edu/techreports/tr348.pdf.
Liu, Jun S. 1996. “Metropolized Independent Sampling with Comparisons to Rejection Sampling and Importance Sampling.” Statistics and Computing 6 (2): 113–19. https://doi.org/10.1007/BF00162521.
Pesenti, Silvana M., Alberto Bettini, Pietro Millossovich, and Andreas Tsanakas. 2020. “Scenario Weights for Importance Measurement (SWIM) – An R Package for Sensitivity Analysis.” SSRN Scholarly Paper ID 3515274. Rochester, NY: Social Science Research Network. https://doi.org/10.2139/ssrn.3515274.
Shahabuddin, Perwez. 1994. “Importance Sampling for the Simulation of Highly Reliable Markovian Systems.” Management Science 40 (3, 3): 333–52. https://doi.org/10.1287/mnsc.40.3.333.
Srinivasan, Rajan. 2013. Importance Sampling: Applications in Communications and Detection. Springer Science & Business Media.
Vehtari, Aki, Daniel Simpson, Andrew Gelman, Yuling Yao, and Jonah Gabry. 2019. “Pareto Smoothed Importance Sampling.” July 2, 2019. http://arxiv.org/abs/1507.02646.
Virrion, Benjamin. 2020. “Deep Importance Sampling.” July 7, 2020. http://arxiv.org/abs/2007.02692.