no code implementations • 10 Jan 2024 • Denny Thaler, Somayajulu L. N. Dhulipala, Franz Bamer, Bernd Markert, Michael D. Shields
We present a new Subset Simulation approach using Hamiltonian neural network-based Monte Carlo sampling for reliability analysis.
no code implementations • 7 Dec 2022 • Promit Chakroborty, Somayajulu L. N. Dhulipala, Yifeng Che, Wen Jiang, Benjamin W. Spencer, Jason D. Hales, Michael D. Shields
The multi-fidelity surrogate is assembled by first applying a Gaussian process correction to each low-fidelity model and assigning a model probability based on the model's local predictive accuracy and cost.
1 code implementation • 19 Sep 2022 • Somayajulu L. N. Dhulipala, Yifeng Che, Michael D. Shields
We propose the use of HNNs for performing Bayesian inference efficiently without requiring numerous posterior gradients.
1 code implementation • 12 Aug 2022 • Somayajulu L. N. Dhulipala, Yifeng Che, Michael D. Shields
Compared to traditional NUTS, L-HNNs in NUTS with online error monitoring required 1--2 orders of magnitude fewer numerical gradients of the target density and improved the effective sample size (ESS) per gradient by an order of magnitude.
no code implementations • 22 Jun 2022 • Somayajulu L. N. Dhulipala, Ryan C. Hruska
Modeling the recovery of interdependent critical infrastructure is a key component of quantifying and optimizing societal resilience to disruptive events.
no code implementations • 6 Jan 2022 • Somayajulu L. N. Dhulipala, Michael D. Shields, Promit Chakroborty, Wen Jiang, Benjamin W. Spencer, Jason D. Hales, Vincent M. Laboure, Zachary M. Prince, Chandrakanth Bolisetti, Yifeng Che
However, TRISO failure probabilities are small and the associated computational models are expensive.