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New framework AD-RaNN optimizes randomized neural networks for PDEs

Researchers have introduced Adaptive-Distribution Randomized Neural Networks (AD-RaNN), a new framework designed to improve the performance of randomized neural networks in solving partial differential equations (PDEs). This method addresses the sensitivity of existing models to the sampling distribution of hidden-layer parameters by optimizing a low-dimensional vector that defines this distribution. AD-RaNN employs a two-stage training process, incorporating adaptive mechanisms like PDE-Driven Adaptive Distribution (PDAD) and Data-Driven Adaptive Distribution (DDAD) to enhance accuracy and reduce manual tuning. AI

影响 Introduces a new method for optimizing neural network parameters in PDE solvers, potentially improving accuracy and reducing manual tuning.

排序理由 This is a research paper introducing a novel framework for solving PDEs.

在 arXiv cs.LG 阅读 →

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New framework AD-RaNN optimizes randomized neural networks for PDEs

报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · You Yang, Fei Wang ·

    Adaptive-Distribution Randomized Neural Networks for PDEs: A Low-Dimensional Distribution-Learning Framework

    arXiv:2604.23999v1 Announce Type: cross Abstract: Randomized neural networks (RaNNs) are attractive for partial differential equations (PDEs) because they replace expensive end-to-end training with a linear least-squares solve over randomized hidden features. Their practical perf…