A divide and conquer strategy for multinomial particle filter resampling

Andrey A Popov

arXiv preprint arXiv:2604.01356, 2026

A copula-based rank histogram ensemble filter

Amit N Subrahmanya, Julie Bessac, Andrey A Popov, Adrian Sandu

International Journal for Uncertainty Quantification, vol. 16, Begel House Inc., 2026

Physics-informed neural networks for PDE-constrained optimization and control

Jostein Barry-Straume, Arash Sarshar, Andrey A Popov, Adrian Sandu

Communications on Applied Mathematics and Computation, Springer Nature Singapore Singapore, 2025, pp. 1--24

Ensemble based Closed-Loop Optimal Control using Physics-Informed Neural Networks

Jostein Barry-Straume, Adwait D Verulkar, Arash Sarshar, Andrey A Popov, Adrian Sandu

arXiv preprint arXiv:2510.18195, 2025

A Framework for Batch Processing Tracklets in the GM-PHD Filter

Dalton Durant, Andrey A Popov, Kyle J DeMars, Renato Zanetti

Advances in Space Research, Elsevier, 2025

Updating Gaussian Mixture Weights Using Posterior Estimates

Dalton Durant, Andrey A Popov, Renato Zanetti

IEEE Transactions on Aerospace and Electronic Systems, IEEE, 2025

OPTIMAL GRID POINT SAMPLING FOR POINT MASS FILTERING

Felipe Giraldo-Grueso, Andrey A Popov, Uwe D Hanebeck, Renato Zanetti

2025 AAS/AIAA Space Flight Mechanics Meeting, Kaui, Hawaii, 2025

Optimal Sampling for Point Mass Filtering with Applications to Cislunar Orbit Determination

Felipe Giraldo-Grueso, Andrey A Popov, Uwe D Hanebeck, Renato Zanetti

The Journal of the Astronautical Sciences, vol. 72, Springer US New York, 2025, p. 44

Optimal Transport as a Reduction Technique for Deterministic Nonlinear Filtering

Felipe Giraldo-Grueso, Andrey A Popov, Uwe D Hanebeck, Renato Zanetti

2025 28th International Conference on Information Fusion (FUSION)., 2025

Adaptive Atmospheric Entry Guidance via Neural Networks

Felipe Giraldo-Grueso, Andrey A Popov, Jeremy R Rea, Renato Zanetti

Journal of Guidance, Control, and Dynamics, American Institute of Aeronautics and Astronautics, 2025

Gaussian Mixture-Based Point Mass Filtering With Applications to Terrain-Relative Navigation

Felipe Giraldo-Grueso, Andrey A Popov, Renato Zanetti

IEEE Transactions on Aerospace and Electronic Systems, IEEE, 2025

Ensemble Gaussian Mixture Filter based on Projected Cram\'er-von Mises Distance

Uwe D Hanebeck, Dominik Prossel, Andrey A Popov, Felipe Giraldo-Grueso, Renato Zanetti

2025 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems (MFI), IEEE, 2025, pp. 1--8

Downscaling human mobility data based on demographic, socioeconomic, and commuting characteristics using interpretable machine learning methods

Yuqin Jiang, Andrey A Popov, Tianle Duan, Qingchun Li

2025

Particle Flow and the Kalman Filter

Rachel Mamich, Kristen Michaelson, Andrey A Popov, Renato Zanetti

Journal of Advances in Information Fusion, vol. 20, 2025

Multiple data assimilation as an approximate maximum a posteriori estimator

Kristen Michaelson, Andrey A Popov, Renato Zanetti

Computational Geosciences, vol. 29, Springer International Publishing Cham, 2025, p. 17

Polytope Flow Filtering

Andrey A Popov

2025 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems (MFI), 2025

A geometric ensemble method for Bayesian inference

Andrey A Popov

arXiv preprint arXiv:2504.07084, 2025

Deterministic Optimal Transport-based Gaussian Mixture Particle Filtering for Verifiable Applications

Andrey A Popov, Renato Zanetti

arXiv preprint arXiv:2501.17302, 2025

Ensemble-regularized Kernel density estimation with applications to the ensemble Gaussian mixture filter

Andrey A Popov, Enrico M Zucchelli, Renato Zanetti

Computational Geosciences, vol. 29, Springer International Publishing Cham, 2025, p. 12

Preserving nonlinear constraints in variational flow filtering data assimilation

Amit N Subrahmanya, Andrey A Popov, Reid J Gomillion, Adrian Sandu

Computational Geosciences, vol. 29, Springer International Publishing Cham, 2025, p. 36

A Survey of Nonlinear Estimation Filters

Renato Zanetti, Andrey A Popov, Kristen Michaelson, Felipe Giraldo-Grueso, Dalton Durant, Simone Servadio, Uwe D Hanebeck

2025

IMPROVING ADAM THROUGH AN IMPLICIT-EXPLICIT (IMEX) TIME-STEPPING APPROACH

Abhinab Bhattacharjee, Andrey A Popov, Arash Sarshar, Adrian Sandu

Journal of Machine Learning for Modeling and Computing, 2024

PROCESSING ANGLES-ONLY TRACKLETS FOR CISLUNAR MULTI-TARGET TRACKING

Dalton Durant, Andrey A Popov, Kyle J DeMars, Renato Zanetti

AAS/AIAA Astrodynamics Specialist Conference, 2024

What are You Weighting For? Improved Weights for Gaussian Mixture Filtering

Dalton Durant, Andrey A Popov, Renato Zanetti

2024 27th International Conference on Information Fusion (FUSION)., 2024

What are You Weighting For? Improved Weights for Gaussian Mixture Filtering With Application to Cislunar Orbit Determination

Dalton Durant, Andrey A Popov, Renato Zanetti

arXiv preprint arXiv:2405.11081, 2024

ADAPTIVE MARS ENTRY GUIDANCE WITH ATMOSPHERIC DENSITY ESTIMATION

Felipe Giraldo-Grueso, Andrey A Popov, Renato Zanetti

AAS/AIAA Astrodynamics Specialist Conference, 2024

Precision Mars Entry Navigation with Atmospheric Density Adaptation via Neural Networks

Felipe Giraldo-Grueso, Andrey A Popov, Renato Zanetti

Journal of Aerospace Information Systems, vol. 21, American Institute of Aeronautics and Astronautics, 2024, pp. 982--995

A Neural-Network-Based Gaussian Nonlinear Filter

Felipe Giraldo-Grueso, Andrey A Popov, Renato Zanetti

AIAA SCITECH 2024 Forum, 2024, p. 1671

Gaussian Mixture-Based Point Mass Filtering

Felipe Giraldo-Grueso, Andrey A Popov, Renato Zanetti

2024 27th International Conference on Information Fusion (FUSION)., 2024

A Sensor-Based Simulation Method for Spatiotemporal Event Detection

Yuqin Jiang, Andrey A Popov, Zhenlong Li, Michael E Hodgson, Binghu Huang

ISPRS International Journal of Geo-Information, vol. 13, MDPI, 2024, p. 141

Burnished Flow Filter

Rachel Mamich, Kristen Michaelson, Andrey A Popov, Renato Zanetti

2024 27th International Conference on Information Fusion (FUSION)., 2024

Particle Flow with a Continuous Formulation of the Nonlinear Measurement Update

Kristen Michaelson, Andrey A Popov, Renato Zanetti, Kyle J DeMars

2024 27th International Conference on Information Fusion (FUSION)., 2024

The Ensemble Epanechnikov Mixture Filter

Andrey A Popov, Renato Zanetti

arXiv preprint arXiv:2408.11164, 2024

Are Non-Gaussian Kernels Suitable for Ensemble Mixture Model Filtering?

Andrey A Popov, Renato Zanetti

2024 27th International Conference on Information Fusion (FUSION)., 2024

An adaptive covariance parameterization technique for the ensemble Gaussian mixture filter

Andrey A Popov, Renato Zanetti

SIAM Journal on Scientific Computing, vol. 46, Society for Industrial and Applied Mathematics University City, Philadelphia, 2024, pp. A1949--A1971

SMALL-DATA REDUCED-ORDER MODELING OF CHAOTIC DYNAMICS THROUGH SYCO-AE: SYNTHETICALLY CONSTRAINED AUTOENCODERS

Andrey A Popov, Renato Zanetti

Journal of Machine Learning for Modeling and Computing, vol. 5, Begel House Inc., 2024

Ensemble Variational Fokker-Planck Methods for Data Assimilation

Amit N Subrahmanya, Andrey A Popov, Adrian Sandu

Journal of Computational Physics, Elsevier, 2024, p. 113681

MCMC EnGMF for Sparse Data Orbit Determination

Dalton Durant, Andrey A. Popov, Renato Zanetti

AAS/AIAA Astrodynamics Specialist Conference, Big Sky, MT, vol. 23, 2023

Ensemble Kalman Filter with Bayesian Recursive Update

Kristen Michaelson, Andrey A Popov, Renato Zanetti

2023 26th International Conference on Information Fusion (FUSION), IEEE, 2023, pp. 1--6

Bayesian Recursive Update for Ensemble Kalman Filters

Kristen Michaelson, Andrey A Popov, Renato Zanetti

arXiv preprint arXiv:2310.18442, 2023

Recursive Update Filtering: A New Approach

Kristen Michaelson, Andrey A. Popov, Renato Zanetti

AAS/AIAA Astrodynamics Specialist Conference, Austin, TX, vol. 23, 2023

Multifidelity ensemble Kalman filtering using surrogate models defined by theory-guided autoencoders

Andrey A Popov, Adrian Sandu

Data-driven modeling and optimization in fluid dynamics: From physics-based to machine learning approaches, vol. 16648714, Frontiers Media SA, 2023, p. 41

Ensemble Gaussian Mixture Filtering with Particle-localized Covariances

Andrey A Popov, Renato Zanetti

2023 26th International Conference on Information Fusion (FUSION), IEEE, 2023, pp. 1--7

Large-Scale Space Object Tracking in a Proliferated LEO Scenario

Benjamin L Reifler, Andrey A Popov, Brandon A Jones, Renato Zanetti

2023 26th International Conference on Information Fusion (FUSION), IEEE, 2023, pp. 1--8

Combining Data-driven and Theory-guided Models in Ensemble Data Assimilation

Andrey Anatoliyevich Popov

Virginia Tech, 2022

The Model Forest Ensemble Kalman Filter

Andrey A Popov, Adrian Sandu

arXiv preprint arXiv:2210.11971, 2022

Multifidelity data assimilation for physical systems

Andrey A Popov, Adrian Sandu

Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications (Vol. IV), Springer International Publishing, 2022, pp. 43--67

A Meta-learning Formulation of the Autoencoder Problem for Non-linear Dimensionality Reduction

Andrey A Popov, Arash Sarshar, Austin Chennault, Adrian Sandu

arXiv preprint arXiv:2207.06676, 2022

A stochastic covariance shrinkage approach to particle rejuvenation in the ensemble transform particle filter

Andrey A Popov, Amit N Subrahmanya, Adrian Sandu

Nonlinear Processes in Geophysics, vol. 29, Copernicus GmbH, 2022, pp. 241--253

A Fast Time-Stepping Strategy for Dynamical Systems Equipped with a Surrogate Model

Steven Roberts, Andrey A Popov, Arash Sarshar, Adrian Sandu

SIAM Journal on Scientific Computing, vol. 44, SIAM, 2022, pp. A1405--A1427

Adjoint-matching neural network surrogates for fast 4D-var data assimilation

Austin Chennault, Andrey A Popov, Amit N Subrahmanya, Rachel Cooper, Ali Haisam Muhammad Rafid, Anuj Karpatne, Adrian Sandu

arXiv preprint arXiv:2111.08626, 2021

Investigation of Nonlinear Model Order Reduction of the Quasigeostrophic Equations through a Physics-Informed Convolutional Autoencoder

Rachel Cooper, Andrey A Popov, Adrian Sandu

arXiv preprint arXiv:2108.12344, 2021

A multifidelity ensemble Kalman filter with reduced order control variates

Andrey A Popov, Changhong Mou, Adrian Sandu, Traian Iliescu

SIAM Journal on Scientific Computing, vol. 43, SIAM, 2021, pp. A1134--A1162

An Explicit Probabilistic Derivation of Inflation in a Scalar Ensemble Kalman Filter for Finite Step, Finite Ensemble Convergence

Andrey A Popov, Adrian Sandu

arXiv preprint arXiv:2003.13162, 2020

A Stochastic Covariance Shrinkage Approach in Ensemble Transform Kalman Filtering

Andrey A Popov, Adrian Sandu, Elias D Nino-Ruiz, Geir Evensen

Tellus A, 2020

A Bayesian approach to multivariate adaptive localization in ensemble-based data assimilation with time-dependent extensions

Andrey A Popov, Adrian Sandu

Nonlinear Processes in Geophysics, vol. 26, Copernicus GmbH, 2019, pp. 109--122

ODE Test Problems: a MATLAB suite of initial value problems

Steven Roberts, Andrey A Popov, Arash Sarshar, Adrian Sandu

arXiv preprint arXiv:1901.04098, 2019

Fast Parallel Algorithm for Large Fractal Kinetic Models with Diffusion

AA Popov, S-C Lee, PP Kuksa, JD Glickson, AA Shestov

bioRxiv, Cold Spring Harbor Laboratory, 2018, p. 275248

Synthesis of 18F-labeled phenolphthalein and naphtholphthalein

Alexander V Kachur, Andrey A Popov, E James Delikatny, Joel S Karp, Anatoliy V Popov

Journal of fluorine chemistry, vol. 151, Elsevier, 2013, pp. 1--6

Synthesis and NMR study of fluorinated aryl (sulfone) phthaleins

Anatoliy V Popov, E James Delikatny, Joel S Karp, Andrey A Popov, Alexander V Kachur

ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, vol. 245, AMER CHEMICAL SOC 1155 16TH ST, NW, WASHINGTON, DC 20036 USA, 2013