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Researchers advance Physics-Informed Neural Networks for complex scientific modeling

Researchers have developed novel physics-informed neural networks (PINNs) to tackle complex differential equations. One approach, Pseudo-differential-enhanced PINNs, utilizes Fourier transforms for faster and more efficient training, improving fidelity and handling fractional derivatives. Another method, Meta-Inverse PINNs, reformulates inverse modeling as a meta-learning problem to enhance sample efficiency and generalization for high-dimensional ordinary differential equations, demonstrating success in pharmacokinetic models. AI

影响 These advancements in PINNs could accelerate scientific discovery by enabling more accurate and efficient modeling of complex dynamical systems.

排序理由 This cluster contains multiple arXiv papers detailing new research and methods in physics-informed neural networks.

在 arXiv cs.AI 阅读 →

AI 生成摘要 · Google Gemini · 来自 6 个来源。 我们如何撰写摘要 →

Researchers advance Physics-Informed Neural Networks for complex scientific modeling

报道来源 [6]

  1. arXiv cs.LG TIER_1 English(EN) · Reza Pirayeshshirazinezhad ·

    具有可学习损失平衡和迁移学习的物理信息神经网络

    arXiv:2605.05217v1 Announce Type: new Abstract: We propose a self-supervised physics-informed neural network (PINN) framework that adaptively balances physics-based and data-driven supervision for scientific machine learning under data scarcity. Unlike prior PINNs that rely on fi…

  2. arXiv cs.LG TIER_1 English(EN) · Dimitrios G. Patsatzis, Nikolaos Kazantzis, Ioannis G. Kevrekidis, Lucia Russo, Constantinos Siettos ·

    非线性外部系统的离散时间动力学系统的不变流形,通过混合物理信息神经网络实现

    arXiv:2506.13950v2 Announce Type: replace-cross Abstract: We propose a hybrid physics-informed machine learning framework to approximate invariant manifolds (IMs) of discrete-time dynamical systems driven by exogenous autonomous dynamics (exosystems). Such systems appear in appli…

  3. arXiv cs.AI TIER_1 English(EN) · Loc Vu-Quoc, Alexander Humer ·

    非线性动力学的偏微分代数方程:基于物理信息神经网络(I)算子分裂与框架评估

    arXiv:2408.01914v4 Announce Type: replace-cross Abstract: Several forms for constructing novel physics-informed neural-networks (PINN) for the solution of partial-differential-algebraic equations based on derivative operator splitting are proposed, using the nonlinear Kirchhoff r…

  4. arXiv cs.LG TIER_1 English(EN) · Zhao Wei, Kenneth Hor Cheng Koh, Sheng Yuan Chin, James Chun Yip Chan, Chin Chun Ooi, Yew-Soon Ong ·

    用于高维常微分方程的元逆物理信息神经网络

    arXiv:2605.03511v1 Announce Type: new Abstract: Solving inverse problems in dynamical systems governed by high-dimensional coupled ordinary differential equations (ODEs) is a ubiquitous challenge in scientific machine learning. In many real-world applications, researchers seek to…

  5. arXiv cs.LG TIER_1 English(EN) · Andrew Gracyk ·

    伪微分增强的物理信息神经网络

    arXiv:2602.14663v2 Announce Type: replace Abstract: We present pseudo-differential enhanced physics-informed neural networks (PINNs), an extension of gradient enhancement but in Fourier space. Gradient enhancement of PINNs dictates that the PDE residual is taken to a higher diffe…

  6. arXiv cs.AI TIER_1 English(EN) · Yew-Soon Ong ·

    用于高维常微分方程的元逆物理信息神经网络

    Solving inverse problems in dynamical systems governed by high-dimensional coupled ordinary differential equations (ODEs) is a ubiquitous challenge in scientific machine learning. In many real-world applications, researchers seek to uncover unknown parameters or model unknown dyn…