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Improving Multi-Model Trajectory Simulation Estimators using Model Selection and Tuning

AIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022

Bomarito, Geoffrey F.; Geraci, Gianluca; Warner, James E.; Leser, Patrick E.; Leser, William P.; Eldred, Michael; Jakeman, John D.; Gorodetsky, Alex A.

Multi-model Monte Carlo methods have been illustrated to be an efficient and accurate alternative to standard Monte Carlo (MC) in the model-based propagation of uncertainty in entry, descent, and landing (EDL) applications. These multi-model MC methods fuse predictions from low-fidelity models with the high-fidelity EDL model of interest to produce unbiased statistics with a fraction of the computational cost. The accuracy and efficiency of the multi-model MC methods are dependent upon the magnitude of correlations of the low-fidelity models with the high-fidelity model, but also upon the correlation amongst the low-fidelity models, and their relative computational cost. Because of this layer of complexity, the question of how to optimally select the set of low-fidelity models has remained open. In this work, methods for optimal model construction and tuning are investigated as a means to increase the speed and precision of trajectory simulation for EDL. Specifically, the focus is on the inclusion of low-fidelity model tuning within the sample allocation optimization that accompanies multi-model MC methods. Results indicate that low-fidelity model tuning can significantly improve efficiency and precision of trajectory simulations and provide an increased edge to multi-model MC methods when compared to standard MC.

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Improving Multi-Model Trajectory Simulation Estimators using Model Selection and Tuning

AIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022

Bomarito, Geoffrey F.; Geraci, Gianluca; Warner, James E.; Leser, Patrick E.; Leser, William P.; Eldred, Michael; Jakeman, John D.; Gorodetsky, Alex A.

Multi-model Monte Carlo methods have been illustrated to be an efficient and accurate alternative to standard Monte Carlo (MC) in the model-based propagation of uncertainty in entry, descent, and landing (EDL) applications. These multi-model MC methods fuse predictions from low-fidelity models with the high-fidelity EDL model of interest to produce unbiased statistics with a fraction of the computational cost. The accuracy and efficiency of the multi-model MC methods are dependent upon the magnitude of correlations of the low-fidelity models with the high-fidelity model, but also upon the correlation amongst the low-fidelity models, and their relative computational cost. Because of this layer of complexity, the question of how to optimally select the set of low-fidelity models has remained open. In this work, methods for optimal model construction and tuning are investigated as a means to increase the speed and precision of trajectory simulation for EDL. Specifically, the focus is on the inclusion of low-fidelity model tuning within the sample allocation optimization that accompanies multi-model MC methods. Results indicate that low-fidelity model tuning can significantly improve efficiency and precision of trajectory simulations and provide an increased edge to multi-model MC methods when compared to standard MC.

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Science and Engineering of Cybersecurity by Uncertainty quantification and Rigorous Experimentation (SECURE) (Final Report)

Pinar, Ali P.; Tarman, Thomas D.; Swiler, Laura P.; Gearhart, Jared L.; Hart, Derek; Vugrin, Eric; Cruz, Gerardo J.; Arguello, Bryan; Geraci, Gianluca; Debusschere, Bert; Hanson, Seth T.; Outkin, Alexander V.; Thorpe, Jamie E.; Hart, William E.; Sahakian, Meghan A.; Gabert, Kasimir G.; Glatter, Casey; Johnson, Emma S.; Punla-Green, She'Ifa'

This report summarizes the activities performed as part of the Science and Engineering of Cybersecurity by Uncertainty quantification and Rigorous Experimentation (SECURE) Grand Challenge LDRD project. We provide an overview of the research done in this project, including work on cyber emulation, uncertainty quantification, and optimization. We present examples of integrated analyses performed on two case studies: a network scanning/detection study and a malware command and control study. We highlight the importance of experimental workflows and list references of papers and presentations developed under this project. We outline lessons learned and suggestions for future work.

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Science & Engineering of Cyber Security by Uncertainty Quantification and Rigorous Experimentation (SECURE) HANDBOOK

Pinar, Ali P.; Tarman, Thomas D.; Swiler, Laura P.; Gearhart, Jared L.; Hart, Derek; Vugrin, Eric; Cruz, Gerardo J.; Arguello, Bryan; Geraci, Gianluca; Debusschere, Bert; Hanson, Seth T.; Outkin, Alexander V.; Thorpe, Jamie E.; Hart, William E.; Sahakian, Meghan A.; Gabert, Kasimir G.; Glatter, Casey; Johnson, Emma S.; Punla-Green, and She?Ifa S.

Abstract not provided.

MFNets: data efficient all-at-once learning of multifidelity surrogates as directed networks of information sources

Computational Mechanics

Gorodetsky, Alex A.; Jakeman, John D.; Geraci, Gianluca

We present an approach for constructing a surrogate from ensembles of information sources of varying cost and accuracy. The multifidelity surrogate encodes connections between information sources as a directed acyclic graph, and is trained via gradient-based minimization of a nonlinear least squares objective. While the vast majority of state-of-the-art assumes hierarchical connections between information sources, our approach works with flexibly structured information sources that may not admit a strict hierarchy. The formulation has two advantages: (1) increased data efficiency due to parsimonious multifidelity networks that can be tailored to the application; and (2) no constraints on the training data—we can combine noisy, non-nested evaluations of the information sources. Finally, numerical examples ranging from synthetic to physics-based computational mechanics simulations indicate the error in our approach can be orders-of-magnitude smaller, particularly in the low-data regime, than single-fidelity and hierarchical multifidelity approaches.

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Results 51–75 of 161
Results 51–75 of 161