arXiv Machine Learning

Gradient-based optimization of nuclear criticality experiments using neural surrogate eigenvalue sensitivities

arXiv:2606. 04033v2 Announce Type: replace Abstract: The validation of advanced nuclear reactor designs and fuel concepts will require the design of new critical experiments with high neutronic similarity to the target technology.

arXiv Machine Learning
Aug 27

Joint Initialization of Flux Networks and Effective Multiplication Factor for Physics-Informed Neural Networks Solving Neutron Diffusion Problems

The paper introduces JI-PINN, a joint initialization strategy for physics-informed neural networks that simultaneously initializes neutron flux and the effective multiplication factor (keff) using a low-resolution approximate solution. By jointly optimizing both quantities under physical constraints, the method achieves significant reductions in computational time—up to nearly 50%—across various benchmark neutron diffusion problems while maintaining accuracy. It also reduces anomalous keff deviations, offering a more robust approach to solving K‑eigenvalue problems with PINNs.

By Qin Hang, Yangdi Yi, Jiayi Li, Xu Wang, Heng Zhang
arXiv Machine Learning
Aug 19

Information fusion and machine learning for sensitivity analysis using physics knowledge and experimental data

The paper explores global sensitivity analysis (GSA) when both physics-based models and experimental data are available, focusing on physics-informed machine learning to improve sensitivity estimates. It evaluates two ML approaches—deep neural networks (DNN) and Gaussian processes (GP)—and two physics integration strategies: physics-constrained loss functions and sequential pre‑training with simulation followed by experimental fine‑tuning. Four models per ML type are constructed, incorporating model uncertainties into Sobol index calculations, and results show DNNs yield tighter sensitivity bounds than GP models, demonstrated on additive manufacturing and lake temperature examples.

By Berkcan Kapusuzoglu, Sankaran Mahadevan
arXiv AI
Oct 31

Accelerating Nonlinear MPC by Behavior Cloning with Separated Timescales: Application to Nuclear Reactor Load-Following

The paper introduces Structured Representation Learning for Behavior Cloning (SRLBC), an architecture that separates embeddings for slow, fast, and exogenous state variables in multiscale dynamical systems. Applied to a pressurized water reactor load‑following benchmark, SRLBC outperforms shared‑embedding baselines in cumulative cost, imitation accuracy, and constraint satisfaction, achieving near‑NMPC performance at 15× lower computational cost. When combined with a safety‑augmented approximate NMPC, the resulting controller is 6.8× faster than full NMPC while maintaining at least 99.8% feasibility, and it degrades least under distribution shift.

By Perceval Beja-Battais (CB), Alain Grosset{\^e}te (CB), Nicolas Vayatis (CB)
arXiv Machine Learning
Oct 16

pcNN-SN: a physics-enhanced predictor-corrector neural network algorithm coupled with the discrete ordinates method for neutron transport equations

The paper introduces pcNN‑SN, a physics‑enhanced predictor‑corrector neural network algorithm that couples with the discrete ordinates (SN) method for neutron transport equations. By using high‑ and low‑accuracy data, the network predicts correction factors for coarse‑grid solutions, incorporating local physical features and dimensionless transformations to reduce input dimensionality. The algorithm maintains conservation properties and, when coupled with SN sweeps, achieves fine‑grid accuracy while reducing computation time by over 60% on a three‑dimensional test problem.

By Cong Liu, Junxia Wei, Shuai Wang, Heng Yong
arXiv Machine Learning
Oct 12

Polyconvex neural-network surrogates with learned paired directional features for anisotropic hyperelastic homogenization

This paper introduces a polyconvex physics‑augmented neural network (PANN) that uses learned paired directional features to model the anisotropic hyperelastic response of a representative volume element. The network’s energy functions are constructed with convex, componentwise nondecreasing cores (ICNN or ICKAN) and satisfy objectivity, stress‑free reference, two‑dimensional polyconvexity, and prescribed growth conditions. Experiments on multicavity and single‑cavity periodic cells show that the constrained PANN achieves sub‑percent stress and displacement errors, while an unconstrained model loses rank‑one convexity and under‑predicts compression stresses beyond the training data.

By S. Ares de Parga, A. Cornejo, J. A. Hern\'andez, R. Rossi
arXiv Machine Learning
Jun 19

Evolutionary Two-Stage Hyperparameter Optimization Strategies for Physics-Informed Neural Networks

arXiv:2606. 20442v1 Announce Type: new Abstract: Physics-Informed Neural Networks (PINNs) solve Partial Differential Equations (PDEs) by embedding physical laws into neural network training.

By Fedor Buzaev (HSE University), Dmitry Efremenko (HSE University), Egor Bugaev (HSE University), Andrei Ermakov (HSE University, AXXX), Denis Derkach (HSE University), Daria Pugacheva (HSE University, AXXX), Fedor Ratnikov (HSE University)