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How Biased Is Your Model? Concentration Inequalities, Information and Model Bias
Konstantinos Gourgoulias, Markos A. Katsoulakis, Luc Rey-Bellet and Jie Wang IEEE Transactions on Information Theory 66(5) 3079 (2020) https://doi.org/10.1109/TIT.2020.2977067
Sensitivity analysis for rare events based on Rényi divergence
Paul Dupuis, Markos A. Katsoulakis, Yannis Pantazis and Luc Rey-Bellet The Annals of Applied Probability 30(4) (2020) https://doi.org/10.1214/19-AAP1468
Uncertainty Quantification for Markov Processes via Variational Principles and Functional Inequalities
Robust Information Divergences for Model-Form Uncertainty Arising from Sparse Data in Random PDE
Eric Joseph Hall and Markos A. Katsoulakis SIAM/ASA Journal on Uncertainty Quantification 6(4) 1364 (2018) https://doi.org/10.1137/17M1143344
Janek Gröhl, Thomas Kirchner, Lena Maier-Hein, Alexander A. Oraevsky and Lihong V. Wang 46 (2018) https://doi.org/10.1117/12.2288362
Uncertainty Quantification and Predictive Computational Science
Information Metrics For Long-Time Errors in Splitting Schemes For Stochastic Dynamics and Parallel Kinetic Monte Carlo
Konstantinos Gourgoulias, Markos A. Katsoulakis and Luc Rey-Bellet SIAM Journal on Scientific Computing 38(6) A3808 (2016) https://doi.org/10.1137/15M1047271
Path-Space Information Bounds for Uncertainty Quantification and Sensitivity Analysis of Stochastic Dynamics
Paul Dupuis, Markos A. Katsoulakis, Yannis Pantazis and Petr Plecháč SIAM/ASA Journal on Uncertainty Quantification 4(1) 80 (2016) https://doi.org/10.1137/15M1025645
Path-space variational inference for non-equilibrium coarse-grained systems
Vagelis Harmandaris, Evangelia Kalligiannaki, Markos Katsoulakis and Petr Plecháč Journal of Computational Physics 314 355 (2016) https://doi.org/10.1016/j.jcp.2016.03.021
Robust Bounds on Risk-Sensitive Functionals via Rényi Divergence
Rami Atar, Kenny Chowdhary and Paul Dupuis SIAM/ASA Journal on Uncertainty Quantification 3(1) 18 (2015) https://doi.org/10.1137/130939730
An Efficient Method for Uncertainty Propagation using Fuzzy Sets