Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations

N McGreivy, A Hakim - Nature Machine Intelligence, 2024 - nature.com
One of the most promising applications of machine learning in computational physics is to
accelerate the solution of partial differential equations (PDEs). The key objective of machine …

Unifying predictions of deterministic and stochastic physics in mesh-reduced space with sequential flow generative model

L Sun, X Han, H Gao, JX Wang… - Advances in Neural …, 2024 - proceedings.neurips.cc
Accurate prediction of dynamical systems in unstructured meshes has recently shown
successes in scientific simulations. Many dynamical systems have a nonnegligible level of …

A thermal machine learning solver for chip simulation

R Ranade, H He, J Pathak, N Chang, A Kumar… - Proceedings of the …, 2022 - dl.acm.org
Thermal analysis provides deeper insights into electronic chips' behavior under different
temperature scenarios and enables faster design exploration. However, obtaining detailed …

Diffusion model based data generation for partial differential equations

R Apte, S Nidhan, R Ranade, J Pathak - arXiv preprint arXiv:2306.11075, 2023 - arxiv.org
In a preliminary attempt to address the problem of data scarcity in physics-based machine
learning, we introduce a novel methodology for data generation in physics-based …

Neural fields for rapid aircraft aerodynamics simulations

G Catalani, S Agarwal, X Bertrand, F Tost… - Scientific Reports, 2024 - nature.com
This paper presents a methodology to learn surrogate models of steady state fluid dynamics
simulations on meshed domains, based on Implicit Neural Representations (INRs). The …

Solving Fine-Grained Static 3DIC Thermal with ML Thermal Solver Enhanced with Decay Curve Characterization

H He, N Chang, J Yang, A Kumar, W Xia… - 2023 IEEE/ACM …, 2023 - ieeexplore.ieee.org
Static chip thermal analysis provides detailed and accurate thermal profile on chip. The chip
power map, commonly modeled as rectangular regions of distinct heat sources, significantly …

Generative prediction of flow field based on the diffusion model

J Hu, Z Lu, Y Yang - arXiv preprint arXiv:2407.00735, 2024 - arxiv.org
We propose a geometry-to-flow diffusion model that utilizes the input of obstacle shape to
predict a flow field past the obstacle. The model is based on a learnable Markov transition …

Compositional Generative Multiphysics and Multi-component Simulation

T Zhang, Z Liu, F Qi, Y Jiao, T Wu - arXiv preprint arXiv:2412.04134, 2024 - arxiv.org
Multiphysics simulation, which models the interactions between multiple physical processes,
and multi-component simulation of complex structures are critical in fields like nuclear and …

Unsupervised Denoising and Super-Resolution of Vascular Flow Data by Physics-Informed Machine Learning

T Sautory, SC Shadden - Journal of …, 2024 - asmedigitalcollection.asme.org
We present an unsupervised deep learning method to perform flow denoising and super-
resolution without high-resolution labels. We demonstrate the ability of a single model to …

[PDF][PDF] FaStTherm: Fast and Stable Full-Chip Transient Thermal Predictor Considering Nonlinear Effects

T Zhu, Q Wang, Y Lin, R Wang, R Huang - … International Conference on …, 2024 - yibolin.com
Full-chip transient thermal simulation, which is essential for solving pressing thermal issues,
is time-consuming and resource-intensive, especially when nonlinear effects including …