Mitigating Spectral Bias in Neural Operators for Underwater Transmission Loss Prediction
- URL: http://arxiv.org/abs/2608.18141v1
- Date: Wed, 05 Aug 2026 13:01:23 GMT
- Title: Mitigating Spectral Bias in Neural Operators for Underwater Transmission Loss Prediction
- Abstract summary: Predicting underwater acoustic transmission loss rapidly and accurately is crucial for real-time ocean acoustic applications.<n>The frequency truncation mechanism in FNO filters out high-frequency components, resulting in over-smoothed predictions.<n>This paper proposes a Spectral-Spatial Residual Learning (S2RL) framework to overcome this limitation.
- Score: 34.06731446327074
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Predicting underwater acoustic transmission loss rapidly and accurately is crucial for real-time ocean acoustic applications. While Fourier Neural Operators (FNO) have emerged as powerful surrogate models due to their global receptive fields, they suffer from spectral bias. The frequency truncation mechanism in FNO filters out high-frequency components, resulting in over-smoothed predictions that fail to capture fine-grained interference patterns. To overcome this limitation, this paper proposes a Spectral-Spatial Residual Learning (S2RL) framework. S2RL decomposes the prediction task into a coarse-to-fine process: a spectral Global Propagator first generates a globally consistent prediction, and a spatial Local Refiner subsequently recovers the high-frequency residuals. Experimental results on a South China Sea dataset show that the proposed method significantly outperforms FNO baselines while maintaining millisecond-level inference speeds.
Related papers
- SpecGradFilter: A Spectral Gradient Filtering Framework for Taming Federated Heterogeneity [57.84199526590779]
Federated Learning (FL) is fundamentally challenged by statistical heterogeneity, where non-identically distributed (non-IID) data induces client drift that hampers global convergence.<n>In this work, we revisit client drift from a novel frequency-domain perspective and uncover a critical Spectral Bias of Drift.<n>Motivated by this, we propose SpecGradFilter, a unified Spectral Filtering Gradient Framework that tames heterogeneity by suppressing discordant low-frequency signals.
arXiv Detail & Related papers (2026-07-05T09:23:35Z) - Learning to Refine: Spectral-Decoupled Iterative Refinement Framework for Precipitation Nowcasting [21.300422393514804]
We propose a deterministic framework that reformulates nowcasting as progressive frequency-decoupled refinement.<n>SDIR first extracts a stable low-frequency synoptic skeleton, then iteratively refines high-frequency textures under physical constraints.<n> Experiments on three benchmarks show SDIR significantly outperforms SOTA methods in spatial accuracy.
arXiv Detail & Related papers (2026-06-01T07:34:30Z) - SFP: Real-World Scene Recovery Using Spatial and Frequency Priors [84.27251794411673]
Scene recovery serves as a critical task for various computer vision applications.<n>We propose Spatial and Frequency Priors (SFP) for real-world scene recovery.
arXiv Detail & Related papers (2025-12-09T05:24:25Z) - SONAR: Spectral-Contrastive Audio Residuals for Generalizable Deepfake Detection [6.042897432654865]
Spectral-cONtrastive Audio Residuals (AR) is a frequency-guided framework for deepfake audio detectors.<n>AR disentangles an audio signal into complementary representations.<n> evaluated on the ASVspoof 2021 and in-the-wild benchmarks.
arXiv Detail & Related papers (2025-11-26T12:16:38Z) - Turb-L1: Achieving Long-term Turbulence Tracing By Tackling Spectral Bias [43.0262112921538]
We propose Turb-L1, an innovative turbulence prediction method.<n>It accurately captures cross-scale interactions and preserves the fidelity of high-frequency dynamics.<n>In long-term predictions, it reduces Mean Squared Error (MSE) by $80.3%$ and increases Structural Similarity (SSIM) by over $9times$ compared to the SOTA baseline.
arXiv Detail & Related papers (2025-05-25T08:38:55Z) - LOGLO-FNO: Efficient Learning of Local and Global Features in Fourier Neural Operators [20.77877474840923]
High-frequency information is a critical challenge in machine learning.<n>Deep neural nets exhibit the so-called spectral bias toward learning low-frequency components.<n>We propose a novel frequency-sensitive loss term based on radially binned spectral errors.
arXiv Detail & Related papers (2025-04-05T19:35:04Z) - Long-Term Prediction Accuracy Improvement of Data-Driven Medium-Range Global Weather Forecast [5.284452133959932]
A universal neural operator called the Spherical Harmonic Neural Operator (SHNO) is introduced to improve long-term iterative forecasts.
SHNO uses the spherical harmonic basis to mitigate distortions for spherical data and uses gated residual spectral attention (GRSA) to correct spectral bias caused by spurious correlations across different scales.
Our findings highlight the benefits and potential of SHNO to improve the accuracy of long-term prediction.
arXiv Detail & Related papers (2024-06-26T02:06:27Z) - Spatial Annealing for Efficient Few-shot Neural Rendering [73.49548565633123]
We introduce an accurate and efficient few-shot neural rendering method named textbfSpatial textbfAnnealing regularized textbfNeRF (textbfSANeRF)<n>By adding merely one line of code, SANeRF delivers superior rendering quality and much faster reconstruction speed compared to current few-shot neural rendering methods.
arXiv Detail & Related papers (2024-06-12T02:48:52Z) - Machine learning for phase-resolved reconstruction of nonlinear ocean
wave surface elevations from sparse remote sensing data [37.69303106863453]
We propose a novel approach for phase-resolved wave surface reconstruction using neural networks.
Our approach utilizes synthetic yet highly realistic training data on uniform one-dimensional grids.
arXiv Detail & Related papers (2023-05-18T12:30:26Z) - Neural Importance Sampling for Rapid and Reliable Gravitational-Wave
Inference [59.040209568168436]
We first generate a rapid proposal for the Bayesian posterior using neural networks, and then attach importance weights based on the underlying likelihood and prior.
This provides (1) a corrected posterior free from network inaccuracies, (2) a performance diagnostic (the sample efficiency) for assessing the proposal and identifying failure cases, and (3) an unbiased estimate of the Bayesian evidence.
We carry out a large study analyzing 42 binary black hole mergers observed by LIGO and Virgo with the SEOBNRv4PHM and IMRPhenomHMXP waveform models.
arXiv Detail & Related papers (2022-10-11T18:00:02Z) - Real-time gravitational-wave science with neural posterior estimation [64.67121167063696]
We demonstrate unprecedented accuracy for rapid gravitational-wave parameter estimation with deep learning.
We analyze eight gravitational-wave events from the first LIGO-Virgo Gravitational-Wave Transient Catalog.
We find very close quantitative agreement with standard inference codes, but with inference times reduced from O(day) to a minute per event.
arXiv Detail & Related papers (2021-06-23T18:00:05Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.