Multifidelity importance sampling
By Benjamin Peherstorfer, Tiangang Cui, Youssef M. Marzouk, Karen E. Willcox. 2016
140 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Statistical and Nonlinear Physics, Statistics and Probability
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Max D. Gunzburger
- Benjamin Peherstorfer
- Nam-Ho Kim
- Karen E. Willcox
- Raphael T. Haftka
- M. Giselle Fernández-Godino
- Chanyoung Park
- Kai Cheng
In Statistical and Nonlinear Physics
- Benjamin Peherstorfer
- Max D. Gunzburger
- Karen E. Willcox
- M. Giselle Fernández-Godino
- Chanyoung Park
- Raphael T. Haftka
- Nam-Ho Kim
- Iason Papaioannou
In Statistics and Probability
- Benjamin Peherstorfer
- Max D. Gunzburger
- Karen E. Willcox
- Nam-Ho Kim
- Kai Cheng
- Xiaobo Zhang
- Yanping Wang
- Raphael T. Haftka
Citations in the corpus
- Optimal Model Management for Multifidelity Monte Carlo Estimation (2016, methodology): “Another body of work combines the high-fidelity model with a surrogate model in the context of the Monte Carlo method with importance sampling [31, 30, 13, 41, 38].”
- Survey of multifidelity methods in uncertainty propagation, inference, and optimization (2018, methodology): “2 Construction of the biasing distribution with low-fidelity models The multifidelity importance sampling approach introduced in [159] uses a low-fidelity model to construct the biasing distribution in the first step of importance sampling, and derives the statistics using high-fidelity model evalua”
- Review of multi-fidelity models (2016, methodology): “Nonetheless, it is mainly beneficial for eliminating models that perform poorly [165, 169].”
- Rare event estimation with sequential directional importance sampling (2022, methodology): “Numerical simulation methods include Monte Carlo simulation (MCS) and variance reduction methods such as importance sampling (IS) [18-20] and its enhanced versions [21-24], subset simulation (SuS) [15, 16, 25], thermodynamic integration and parallel tempering (TIPT) [26], line sampling (LS) [27-29],”