mlsanityData to 7 Oct 2026

Randomized prior wavelet neural operator for uncertainty quantification

arXiv 2302.01051 ↗First posted 2 Feb 2023stat.ML cs.LGcited by 4

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Abstract (arXiv)

In this paper, we propose a novel data-driven operator learning framework referred to as the textitRandomized Prior Wavelet Neural Operator (RP-WNO). The proposed RP-WNO is an extension of the recently proposed wavelet neural operator, which boasts excellent generalizing capabilities but cannot estimate the uncertainty associated with its predictions. RP-WNO, unlike the vanilla WNO, comes with inherent uncertainty quantification module and hence, is expected to be extremely useful for scientists and engineers alike. RP-WNO utilizes randomized prior networks, which can account for prior information and is easier to implement for large, complex deep-learning architectures than its Bayesian counterpart. Four examples have been solved to test the proposed framework, and the results produced advocate favorably for the efficacy of the proposed framework.

Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). Builds on 15 of its 71 references that are in the map. First posted on arXiv 2 Feb 2023.

Builds on

15 of 71 references.

References · 15

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3 more
  1. 2022Multi-fidelity wavelet neural operator with application to uncertainty quantificationcited by 12
  2. 2023SPIDE: A Purely Spike-based Method for Training Feedback Spiking Neural Networkscited by 8
  3. 2022Leveraging Industry 4.0 -- Deep Learning, Surrogate Model and Transfer Learning with Uncertainty Quantification Incorporated into Digital Twin for Nuclear Systemcited by 7

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 2; 2025: 1; 2026: 1.

4 papers.

  1. 2024Generative adversarial wavelet neural operator: Application to fault detection and isolation of multivariate time series datacited by 6
  2. 2024Distribution free uncertainty quantification in neuroscience-inspired deep operatorscited by 1
  3. 2026GeoQ: Geometry-Aware Conditional Quantile Error Estimation for Scientific Surrogate Modelscited by 1
  4. 2025From Local Interactions to Global Operators: Scalable Gaussian Process Operator for Physical Systemscited by 0