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English(EN) On the Condition Number Upper Bound of the L-BFGS Inverse Hessian Approximation Matrix with a Two-Sided Geometric Envelope Safeguarding Mechanism

新的双边 L-BFGS 算法增强了优化稳定性

研究人员开发了一种新的有限内存 BFGS (L-BFGS) 优化算法变体,称为双边 L-BFGS。该方法解决了逆海森近似中条件数爆炸的问题,这可能导致复杂优化景观中的数值不稳定性。双边 L-BFGS 算法使用几何包络动态约束条件数,在保持计算效率和全局收敛特性的同时确保稳定性。 AI

影响 提高了大规模优化问题的数值稳定性和收敛性,可能有利于 AI 模型训练。

排序理由 该集群包含一篇详细介绍新算法及其理论特性的学术论文。

在 arXiv cs.LG 阅读 →

AI 生成摘要 · Google Gemini · 来自 3 个来源。 我们如何撰写摘要 →

新的双边 L-BFGS 算法增强了优化稳定性

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报道来源 [3]

  1. arXiv cs.LG TIER_1 English(EN) · Don Li ·

    关于具有双边几何包络保护机制的 L-BFGS 逆海森近似矩阵的条件数上界

    arXiv:2607.05836v1 Announce Type: cross Abstract: The limited-memory BFGS (L-BFGS) algorithm is a cornerstone of large-scale optimization due to its linear memory and computational costs. However, in ill-conditioned or non-convex landscapes, the implicit inverse Hessian approxima…

  2. arXiv cs.LG TIER_1 English(EN) · Don Li ·

    关于具有双边几何包络保护机制的 L-BFGS 逆海森近似矩阵的条件数上界

    The limited-memory BFGS (L-BFGS) algorithm is a cornerstone of large-scale optimization due to its linear memory and computational costs. However, in ill-conditioned or non-convex landscapes, the implicit inverse Hessian approximation can suffer from an exploding condition number…

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

    关于具有双边几何包络保护机制的 L-BFGS 逆海森近似矩阵的条件数上界

    The limited-memory BFGS (L-BFGS) algorithm is a cornerstone of large-scale optimization due to its linear memory and computational costs. However, in ill-conditioned or non-convex landscapes, the implicit inverse Hessian approximation can suffer from an exploding condition number…