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新研究为神经网络训练提供理论收敛保证

两篇新研究论文探讨了神经网络训练的理论基础。第一篇论文通过引入广义 Lipschitz 光滑性条件,为通用前馈神经网络中的梯度下降建立了收敛保证。第二篇论文提出了一种深度神经网络训练的统一优化框架,通过 Legendre 函数和共轭变换推广了凸性和光滑性,并引入了具有理论收敛率的广义梯度下降和 SGD。 AI

影响 这些理论上的进步可能带来更高效、更可预测的深度学习模型训练。

排序理由 两篇 arXiv 论文提出了神经网络优化方面的理论进展。

在 arXiv cs.LG 阅读 →

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新研究为神经网络训练提供理论收敛保证

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两篇 arXiv 论文提出了神经网络优化方面的理论进展。
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报道来源 [2]

  1. arXiv cs.LG TIER_1 English(EN) · Siqiao Mu, Diego Klabjan ·

    通过广义Lipschitz平滑实现神经网络梯度下降的收敛保证

    arXiv:2608.11479v1 Announce Type: new Abstract: We establish convergence guarantees of gradient descent for general feedforward neural networks of arbitrary width or depth, with no special requirements on the initialization or dataset. We only assume that the activation functions…

  2. arXiv cs.LG TIER_1 English(EN) · Binchuan Qi ·

    广义凸性和光滑性通过共轭对偶:深度神经网络的优化理论

    arXiv:2608.09523v1 Announce Type: new Abstract: Deep neural network (DNN) training with stochastic gradient descent (SGD) and its variants achieves strong empirical performance, yet classical optimization theory does not fully explain this success. This limitation arises because …