arXiv Machine Learning

Structure-preserving reduced-order models of thin panels in supersonic and hypersonic flow

The paper presents structure‑preserving reduced‑order models for two high‑speed aerodynamic test cases: a clamped thin panel at Mach 1.92 (RC‑19) and a cantilever plate at Mach 5.85 (HyMAX). Each model combines a Ritz‑Galerkin reference formulation with a learned component that retains the exact potential, fits remaining forces, and trains only a dissipation term that cannot add energy, ensuring an energy balance for any weights. The learned models achieve extremely low residuals (≤2.2 × 10⁻¹⁵) and accurately reproduce measured pressure ratios, dominant frequencies, and displacement responses, even under chaotic conditions, without relying on time‑resolved data.

arXiv Machine Learning
Oct 19

How the elastic axis folds the transonic flutter boundary: shock energy transfer and conformally calibrated active learning

The paper investigates the folded transonic flutter boundary of Isogai’s case A aerofoil, whose elastic axis is positioned half a chord ahead of the leading edge. Using coupled unsteady Euler simulations, a Gaussian‑process surrogate trained via batch active learning, and split conformal prediction, the authors map how the boundary changes as the elastic axis is moved, revealing that the fold exists only when the axis is more than ~0.4 chord ahead and closes between 0.39 and 0.33 chord ahead. Energy budget analyses explain the lower and upper branches of the fold, showing how shock phase and damping of the supersonic surface govern the flutter behavior.

By Ashray Saxena, Sharad Shrivastava
arXiv AI
Jun 2

Emergent Transfer of a Physics Foundation Model from Simulation to Laboratory Turbulence

arXiv:2606. 01470v1 Announce Type: cross Abstract: Whether physics foundation models can be usefully deployed on laboratory experiments remains an open question for scientific machine learning (ML).

By Payel Mukhopadhyay, Stefan S. Nixon, Romain Watteaux, Michael McCabe, Alberto Bietti, Kyunghyun Cho, Cristiana Diaconu, Irina Espejo Morales, David Fouhey, Siavash Golkar, Tom Hehir, Shirley Ho, Jake Kovalic, Geraud Krawezik, Francois Lanusse, Tanya Marwah, Rudy Morel, Mariel Pettee, Helen Qu, Jeff Shen, Hadi Sotoudeh, Stuart B. Dalziel, Miles Cranmer
arXiv Machine Learning
Oct 3

Stable and Counterfactually Robust Physical World Models from Imposed Structure and Learned Physics

The paper introduces a world model that learns to predict the evolution of physical systems while respecting key physical principles. By hard‑coding a general structure—generating dynamics from the gradient of a learned energy via a fixed reversible operator and imposing constraints on energy, dissipation, and interventions—the model achieves second‑law compatible dissipation, accurate responses to parameter changes, long‑term stability, and robustness to disturbances. Experiments on an electromagnetic cavity, a particle‑in‑cell grid, and shallow‑water fluid demonstrate that the model can recover accurate constitutive functions, distinguish conserving from dissipating regimes, and transfer learned physics to unseen conditions, outperforming unconstrained models.

By Yufeng Wang, Parivesh Priye, Lu Wei, Haibin Ling
Hugging Face Trending Papers
Oct 22

Hyperreduction accelerates finite element model updating for the discovery of neural materials

The paper presents a hyperreduction technique that accelerates finite element model updating for discovering neural constitutive models from structural experiments. By combining proper orthogonal decomposition, energy‑conserving sampling, and adjoint sensitivities, the method adapts the reduced trial space and sampled elements during training, enabling a polyconvex neural network to maintain accuracy while drastically reducing computational cost. Experiments on two experimental datasets and a synthetic 3‑D example show training times drop from hours to minutes without sacrificing predictive fidelity.

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
Sep 18

Seismic Site Response Prediction from Sparse Observations Using Finite-Element-Pretrained Latent Dynamics

The paper introduces FLARE‑T, a Transfer‑Enabled Forced Latent Autoencoder for Response Equations, which learns low‑dimensional latent dynamics from dense finite‑element simulations and calibrates them with sparse field observations. By mapping simulated sensor responses into a learned coordinate system, FLARE‑T improves multi‑depth acceleration predictions and pseudo‑acceleration spectra, reducing errors across various sensor locations and motion intensities. Evaluation on a layered‑soil centrifuge test and the Lotung field array demonstrates that FLARE‑T achieves comparable accuracy with different source models, indicating less reliance on precise prior calibration.

By Yi Zhu, Su Chen, Xiaojun Li