Frequency-Aware Reconstruction of Fluid Simulations with Generative Networks
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Abstract (arXiv)
Convolutional neural networks were recently employed to fully reconstruct fluid simulation data from a set of reduced parameters. However, since (de-)convolutions traditionally trained with supervised L1-loss functions do not discriminate between low and high frequencies in the data, the error is not minimized efficiently for higher bands. This directly correlates with the quality of the perceived results, since missing high frequency details are easily noticeable. In this paper, we analyze the reconstruction quality of generative networks and present a frequency-aware loss function that is able to focus on specific bands of the dataset during training time. We show that our approach improves reconstruction quality of fluid simulation data in mid-frequency bands, yielding perceptually better results while requiring comparable training time.
Key facts. Cited by 7 papers in the map (data through 7 Oct 2026). First posted on arXiv 18 Dec 2019.
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Citing papers per year: 2021: 3; 2022: 2; 2023: 1; 2024: 1.
7 papers.
- 2022Overview frequency principle/spectral bias in deep learningcited by 68
- 2022On the Activation Function Dependence of the Spectral Bias of Neural Networkscited by 25
- 2023Loss Spike in Training Neural Networkscited by 15
- 2021Linear Frequency Principle Model to Understand the Absence of Overfitting in Neural Networkscited by 14
- 2024Frequency-adaptive Multi-scale Deep Neural Networkscited by 5
- 2021Frequency Principle in Deep Learning Beyond Gradient-descent-based Trainingcited by 4
- 2021An Upper Limit of Decaying Rate with Respect to Frequency in Deep Neural Networkcited by 3
- 2024Frequency-adaptive Multi-scale Deep Neural Networks28 Sep 2024
- 2023Loss Spike in Training Neural Networks20 May 2023
- 2022On the Activation Function Dependence of the Spectral Bias of Neural Networks9 Aug 2022
- 2022Overview frequency principle/spectral bias in deep learning19 Jan 2022
- 2021An Upper Limit of Decaying Rate with Respect to Frequency in Deep Neural Network25 May 2021
- 2021Linear Frequency Principle Model to Understand the Absence of Overfitting in Neural Networks30 Jan 2021
- 2021Frequency Principle in Deep Learning Beyond Gradient-descent-based Training4 Jan 2021