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English(EN) Generalized Quadratic Gradient: A New Direction in Optimization via the Fusion of Positive-Definite Curvature Matrices and Gradients into A Unified Framework

广义二次梯度框架统一优化方法

研究人员引入了广义二次梯度(GQG),一个统一和扩展现有二阶优化方法的新型优化框架。GQG抽象了二次梯度(QG)和简化二次梯度(SQG)的核心原理,证明了满足局部二次模型平稳条件的正定曲率矩阵足以进行构建。这种泛化允许开发超越传统Hessian近似的新型感知曲率的优化算法,在深度学习中具有潜在应用。 AI

影响 这项研究通过改进优化算法,可能带来更高效的深度学习模型训练。

排序理由 该集群包含两篇介绍新优化框架的学术论文。

在 arXiv cs.LG 阅读 →

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广义二次梯度框架统一优化方法

报道来源 [2]

  1. arXiv cs.LG TIER_1 English(EN) · John Chiang ·

    Generalized Quadratic Gradient: A New Direction in Optimization via the Fusion of Positive-Definite Curvature Matrices and Gradients into A Unified Framework

    arXiv:2608.01552v1 Announce Type: cross Abstract: Quadratic Gradient (QG) is a Newton-type optimization framework that bridges first-order gradient descent and second-order optimization by incorporating curvature information into gradient updates. Simplified Quadratic Gradient (S…

  2. arXiv cs.LG TIER_1 English(EN) · John Chiang ·

    Simplified Quadratic Gradient: A Unified Framework Bridging Gradient Descent and Newton-Type Methods by Synthesizing Hessians and Gradients

    arXiv:2209.03282v5 Announce Type: replace-cross Abstract: Accelerating the convergence of second-order optimization, particularly Newton-type methods, remains a pivotal challenge in algorithmic research. In this paper, we extend previous work on the \textbf{Quadratic Gradient (QG…