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English(EN) Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations

DeepGaLA:新的神经网络代理模型增强了逆问题求解能力 · 跟踪到2个来源

研究人员开发了DeepGaLA,这是一种新颖的神经网络代理模型,旨在提高求解微分方程逆问题的效率和准确性。这种新方法提供不确定性感知的预测,这对于减少过度自信的推断至关重要,尤其是在训练数据有限的情况下。DeepGaLA在精度上与现有的高斯过程代理模型相当,但在参数维度增加时效率更高,使其成为复杂科学和工程系统中贝叶斯推断的可扩展解决方案。 AI

影响 增强了复杂系统的贝叶斯推断的可扩展性和可靠性,可能加速科学发现。

排序理由 该集群包含一篇详细介绍求解微分方程逆问题新方法的学术论文。

在 arXiv cs.LG 阅读 →

AI 生成摘要 · Google Gemini · 来自 2 个来源。 我们如何撰写摘要 →

DeepGaLA:新的神经网络代理模型增强了逆问题求解能力 · 跟踪到2个来源

报道来源 [2]

  1. arXiv cs.LG TIER_1 English(EN) · Christian Jimenez-Beltran, Aretha L. Teckentrup, Antonio Vergari, Konstantinos C. Zygalakis ·

    Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations

    arXiv:2606.20417v1 Announce Type: new Abstract: Inverse problems for differential equations arise throughout science and engineering, where one seeks to infer unknown model parameters from noisy or incomplete observations. Traditional numerical methods for these problems are ofte…

  2. arXiv cs.LG TIER_1 English(EN) · Konstantinos C. Zygalakis ·

    Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations

    Inverse problems for differential equations arise throughout science and engineering, where one seeks to infer unknown model parameters from noisy or incomplete observations. Traditional numerical methods for these problems are often computationally expensive, particularly in Bay…