mlsanityData to 7 Oct 2026

Approximating the full-field temperature evolution in 3D electronic systems from randomized "Minecraft" systems

arXiv 2209.10369 ↗First posted 21 Sep 2022physics.comp-ph cs.AI cs.CEcited by 2

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Abstract (arXiv)

Neural Networks as fast physics simulators have a large potential for many engineering design tasks. Prerequisites for a wide-spread application are an easy-to-use workflow for generating training datasets in a reasonable time, and the capability of the network to generalize to unseen systems. In contrast to most previous works where training systems are similar to the evaluation dataset, we propose to adapt the type of training system to the network architecture. Specifically, we apply a fully convolutional network and, thus, design 3D systems of randomly located voxels with randomly assigned physical properties. The idea is tested for the transient heat diffusion in electronic systems. Training only on random "Minecraft" systems, we obtain good generalization to electronic systems four times as large as the training systems (one-step prediction error of 0.07% vs 0.8%).

Key facts. Cited by 2 papers in the map (data through 7 Oct 2026). Builds on 9 of its 13 references that are in the map. First posted on arXiv 21 Sep 2022.

Builds on

9 of 13 references.

References · 9

  1. 2018Relational inductive biases, deep learning, and graph networkscited by 1,341
  2. 2020Learning to Simulate Complex Physics with Graph Networkscited by 867
  3. 2020Learning Mesh-Based Simulation with Graph Networkscited by 840
  4. 2021Characterizing possible failure modes in physics-informed neural networkscited by 632
  5. 2020When and why PINNs fail to train: A neural tangent kernel perspectivecited by 629
  6. 2020Discovering Symbolic Models from Deep Learning with Inductive Biasescited by 335
  7. 2019Physics-Constrained Deep Learning for High-dimensional Surrogate Modeling and Uncertainty Quantification without Labeled Datacited by 261
  8. 2021PhyCRNet: Physics-informed Convolutional-Recurrent Network for Solving Spatiotemporal PDEscited by 97
  9. 2022WaveY-Net: Physics-augmented deep learning for high-speed electromagnetic simulation and optimizationcited by 8

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 1; 2026: 1.

2 papers.