OOIR: Observatory of International Research

Papers

(The median citation count of SIAM-ASA Journal on Uncertainty Quantification is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-05-01 to 2026-05-01.)

Article	Citations
Adaptive Operator Learning for Infinite-Dimensional Bayesian Inverse Problems	30
Large Deviation Theory-based Adaptive Importance Sampling for Rare Events in High Dimensions	28
Reduced-Order Modeling with Time-Dependent Bases for PDEs with Stochastic Boundary Conditions	22
A Lagged Particle Filter for Stable Filtering of Certain High-Dimensional State-Space Models	20
Ensemble Kalman Filters with Resampling	19
Bayesian Inference for Non-synchronously Observed Diffusions	18
Conditional Optimal Transport on Function Spaces	17
Analysis of a Class of Multilevel Markov Chain Monte Carlo Algorithms Based on Independent Metropolis–Hastings	16
Active Learning via Heteroskedastic Rational Kriging	15
Goal-Oriented Bayesian Optimal Experimental Design for Nonlinear Models Using Markov Chain Monte Carlo	13
Tensor-Variate Gaussian Process Regression for Efficient Emulation of Complex Systems: Comparing Regressor and Covariance Structures in Outer Product and Parallel Partial Emulators	13
Leveraging Joint Sparsity in Hierarchical Bayesian Learning	13
Uncertainty Quantification of Inclusion Boundaries in the Context of X-Ray Tomography	12
Computationally Efficient Sampling Methods for Sparsity Promoting Hierarchical Bayesian Models	11
Calibration of Inexact Computer Models with Heteroscedastic Errors	11
A Variational Inference Approach to Inverse Problems with Gamma Hyperpriors	11
A Fast and Scalable Computational Framework for Large-Scale High-Dimensional Bayesian Optimal Experimental Design	11
Leveraging Viscous Hamilton–Jacobi PDEs for Uncertainty Quantification in Scientific Machine Learning	10
Asymptotic Bounds for Smoothness Parameter Estimates in Gaussian Process Interpolation	10
Rank Bounds for Approximating Gaussian Densities in the Tensor-Train Format	10
Deep Learning for Model Correction of Dynamical Systems with Data Scarcity	9
Gradient-Free Sequential Bayesian Experimental Design via Interacting Particle Systems	9
Harmonizable Nonstationary Processes	9
Surrogate-Based Global Sensitivity Analysis with Statistical Guarantees via Floodgate	9
Antithetic Multilevel Methods for Elliptic and Hypoelliptic Diffusions with Applications	9

Extrapolated Polynomial Lattice Rule Integration in Computational Uncertainty Quantification	9
Parameter Inference Based on Gaussian Processes Informed by Nonlinear Partial Differential Equations	9
Robust Kalman and Bayesian Set-Valued Filtering and Model Validation for Linear Stochastic Systems	9
Regularization for the Approximation of Functions by Mollified Discretization Methods	9
Calculation of Epidemic First Passage and Peak Time Probability Distributions	8
Uniform Error Bounds of the Ensemble Transform Kalman Filter for Chaotic Dynamics with Multiplicative Covariance Inflation	8
Multilevel Delayed Acceptance MCMC	8
Generalized Bayesian MARS: Tools for Stochastic Computer Model Emulation	8
Complete Deterministic Dynamics and Spectral Decomposition of the Linear Ensemble Kalman Inversion	8
Bayesian Inference with Projected Densities	8
Multifidelity Surrogate Modeling for Time-Series Outputs	8
Equispaced Fourier Representations for Efficient Gaussian Process Regression from a Billion Data Points	7
A Theoretical Framework of the Scaled Gaussian Stochastic Process in Prediction and Calibration	7
Quantifying the Effect of Random Dispersion for Logarithmic Schrödinger Equation	7
Robust A-Optimal Experimental Design for Sensor Placement in Bayesian Linear Inverse Problems	7
On the Deep Active-Subspace Method	7
Robust Level-Set-Based Topology Optimization Under Uncertainties Using Anchored ANOVA Petrov–Galerkin Method	7
An Inverse Source Problem for the Stochastic Multiterm Time-Fractional Diffusion-Wave Equation	7
Multilevel Markov Chain Monte Carlo with Likelihood Scaling for Bayesian Inversion with High-resolution Observations	7
Dirichlet–Neumann Averaging: The DNA of Efficient Gaussian Process Simulation	7
Uncertainty Quantification in Machine Learning Based Segmentation: A Post-Hoc Approach for Left Ventricle Volume Estimation in MRI	6
Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering	6
Proportional Marginal Effects for Global Sensitivity Analysis	6
Nonparametric Estimation for Independent and Identically Distributed Stochastic Differential Equations with Space-Time Dependent Coefficients	6
Discovering the Unknowns: A First Step	6
Sequentially Refined Latin Hypercube Designs with Flexibly and Adaptively Chosen Sample Sizes	6
Stacking Designs: Designing Multifidelity Computer Experiments with Target Predictive Accuracy	6
Test Comparison for Sobol Indices over Nested Sets of Variables	6
Statistical Guarantees of Group-Invariant GANs	6
Tensor Train Based Sampling Algorithms for Approximating Regularized Wasserstein Proximal Operators	6
Covariance Expressions for Multifidelity Sampling with Multioutput, Multistatistic Estimators: Application to Approximate Control Variates	6
Gaussian Processes with Input Location Error and Applications to the Composite Parts Assembly Process	6
Model Uncertainty and Correctability for Directed Graphical Models	6
Dimension Free Nonasymptotic Bounds on the Accuracy of High-Dimensional Laplace Approximation	5
Domain Uncertainty Quantification for the Lippmann–Schwinger Volume Integral Equation	5
Gaussian Process Regression on Nested Spaces	5
Analysis of a Computational Framework for Bayesian Inverse Problems: Ensemble Kalman Updates and MAP Estimators under Mesh Refinement	5
Quantifying Spatio-Temporal Boundary Condition Uncertainty for the North American Deglaciation	5
Subspace Splitting Fast Sampling from Gaussian Posterior Distributions of Linear Inverse Problems	5
An Order-Theoretic Perspective on Modes and Maximum A Posteriori Estimation in Bayesian Inverse Problems	4
Projective Integral Updates for High-Dimensional Variational Inference	4
Hyperparameter Estimation for Sparse Bayesian Learning Models	4
Shape Optimization under Constraints on the Probability of a Quadratic Functional to Exceed a Given Threshold	4
Statistical Finite Elements via Interacting Particle Langevin Dynamics	4
Certified Multifidelity Zeroth-Order Optimization	4
Reliable Error Estimates for Optimal Control of Linear Elliptic PDEs with Random Inputs	4
Quantifying Domain Uncertainty in Linear Elasticity	4
A Comparative Study of Polynomial-Type Chaos Expansions for Indicator Functions	4
Scalable Method for Bayesian Experimental Design without Integrating over Posterior Distribution	4
Low-dimensional Subspace Regularization through Structured Tensor Priors	4

Weighted Leave-One-Out Cross Validation	4
Empirical Bayesian Inference Using a Support Informed Prior	4
A Method of Moments Estimator for Interacting Particle Systems and their Mean Field Limit	4
High-Dimensional Stochastic Finite Volumes Using the Tensor Train Format	4
Non-convergence to Global Minimizers for Adam and Stochastic Gradient Descent Optimization and Constructions of Local Minimizers in the Training of Artificial Neural Networks	3
Quantifying and Managing Uncertainty in Piecewise-Deterministic Markov Processes	3
A General Framework of Rotational Sparse Approximation in Uncertainty Quantification	3
Perron–Frobenius Operator Filter for Stochastic Dynamical Systems	3
Nonasymptotic Bounds for Suboptimal Importance Sampling	3
Random Fourier Features Based Gaussian Process Models for Stochastic Simulations	3
Learning Inducing Points and Uncertainty on Molecular Data by Scalable Variational Gaussian Processes	3
Efficient Kriging Using Interleaved Lattice-Based Designs with Low Fill and High Separation Distance Properties	3
Polynomial Chaos Surrogate Construction for Random Fields with Parametric Uncertainty	3
Wasserstein Sensitivity of Risk and Uncertainty Propagation	3
Generative Stochastic Modeling of Strongly Nonlinear Flows with Non-Gaussian Statistics	3
Sensitivity Analysis of Quasi-Stationary Distributions (QSDs) of Mass-Action Systems	3
Wavelet-Based Density Estimation for Persistent Homology	3
Covariate-Informed Bifidelity Bias Correction of Distributional Output	3
Projected Wasserstein Gradient Descent for High-Dimensional Bayesian Inference	3
A Multilevel Stochastic Collocation Method for Schrödinger Equations with a Random Potential	3
Quantification of Errors Generated by Uncertain Data in a Linear Boundary Value Problem Using Neural Networks	3
Certified Dimension Reduction for Bayesian Updating with the Cross-Entropy Method	3
Continuum Covariance Propagation for Understanding Variance Loss in Advective Systems	3
Generalized Sparse Bayesian Learning and Application to Image Reconstruction	3
Towards Practical Large-Scale Randomized Iterative Least Squares Solvers through Uncertainty Quantification	3
Nonparametric Posterior Learning for Emission Tomography	3
Local Sensitivity Analysis for Bayesian Inverse Problems	3
The Zero Problem: Gaussian Process Emulators for Range-Constrained Computer Models	3
Covariance-Free Bifidelity Control Variates Importance Sampling for Rare Event Reliability Analysis	2
On Negative Transfer and Structure of Latent Functions in Multioutput Gaussian Processes	2
Parameter Selection in Gaussian Process Interpolation: An Empirical Study of Selection Criteria	2
Accelerate Langevin Sampling with Birth-Death Process and Exploration Component	2
Asymptotic Theory of \(\boldsymbol \ell _1\) -Regularized PDE Identification from a Single Noisy Trajectory	2
Mean Field Games for Controlling Coherent Structures in Nonlinear Fluid Systems	2
Noise Level Free Regularization of General Linear Inverse Problems under Unconstrained White Noise	2
Precision and Cholesky Factor Estimation for Gaussian Processes	2
Sampling Low-Fidelity Outputs for Estimation of High-Fidelity Density and Its Tails	2
Multilevel Monte Carlo Metamodeling for Variance Function Estimation	2
Risk-Adapted Optimal Experimental Design	2
Superfloe Parameterization with Physics Constraints for Uncertainty Quantification of Sea Ice Floes	2
Neural Network Approaches for Variance Reduction in Fluctuation Formulas	2
An Inverse Random Source Problem for the Biharmonic Wave Equation	2
Ensemble Markov Chain Monte Carlo with Teleporting Walkers	2
Sparse Inverse Cholesky Factorization of Dense Kernel Matrices by Greedy Conditional Selection	2
Theoretical Guarantees for the Statistical Finite Element Method	2