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English(EN) An optimal control approach for neural network architecture adaptation with a posteriori error estimation

新的最优控制方法通过误差估计自适应神经网络深度

研究人员开发了一种新颖的神经网络架构自适应方法,将训练视为一个连续时间最优控制问题。该方法使用后验误差估计来识别应插入新层的层,以改进近似误差。该框架引入了一种新架构,其中权重和偏置是跨层的分段线性函数,并利用双重加权残差方法进行误差界定。该方法在科学数据集上,包括学习Navier-Stokes方程的映射,已证明了卓越的泛化性能,优于现有的自适应技术。 AI

影响 这项研究为优化神经网络架构提供了一种原则性的方法,有望为复杂的科学问题带来更高效、更准确的模型。

排序理由 该集群包含一篇发表在arXiv上的研究论文,详细介绍了一种新颖的神经网络架构自适应方法。

在 arXiv cs.LG 阅读 →

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新的最优控制方法通过误差估计自适应神经网络深度

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该集群包含一篇发表在arXiv上的研究论文,详细介绍了一种新颖的神经网络架构自适应方法。
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报道来源 [3]

  1. arXiv cs.LG TIER_1 English(EN) · C G Krishnanunni, Thomas Scott, Tan Bui-Thanh ·

    一种用于神经网络架构自适应的后验误差估计最优控制方法

    arXiv:2607.07637v1 Announce Type: new Abstract: This work presents a novel approach for adapting neural network architecture along the depth based on a posteriori error estimation. By formulating neural network training as a continuous-time optimal control problem, we derive rigo…

  2. arXiv cs.LG TIER_1 English(EN) · Tan Bui-Thanh ·

    一种用于神经网络架构自适应的后验误差估计最优控制方法

    This work presents a novel approach for adapting neural network architecture along the depth based on a posteriori error estimation. By formulating neural network training as a continuous-time optimal control problem, we derive rigorous error estimates that quantify how approxima…

  3. Hugging Face Daily Papers TIER_1 English(EN) ·

    一种用于神经网络架构自适应的后验误差估计最优控制方法

    This work presents a novel approach for adapting neural network architecture along the depth based on a posteriori error estimation. By formulating neural network training as a continuous-time optimal control problem, we derive rigorous error estimates that quantify how approxima…