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English(EN) Improved Stochastic Optimization of LogSumExp

新的安全 KL 散度改进 LogSumExp 优化

作者 PulseAugur 编辑部 · [1 个来源] ·

研究人员开发了一种 LogSumExp 函数的新颖近似方法，该函数对于熵正则化最优传输和分布鲁棒优化等优化问题至关重要。这种新的近似方法，称为安全 KL 散度，保持了凸性和光滑性，从而可以使用随机梯度方法进行高效优化。实验和理论分析表明，这种方法在基于 LogSumExp 的随机优化方面优于现有方法。 AI

影响 这项研究可能导致依赖复杂优化技术的模型的更有效训练。

排序理由 该集群包含一篇详细介绍新数学优化方法的学术论文。[lever_c_demoted from research: ic=1 ai=0.7]

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新的安全 KL 散度改进 LogSumExp 优化

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该集群包含一篇详细介绍新数学优化方法的学术论文。[lever_c_demoted from research: ic=1 ai=0.7]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Egor Gladin, Alexey Kroshnin, Jia-Jie Zhu, Pavel Dvurechensky ·

    LogSumExp 的改进随机优化

    arXiv:2509.24894v4 Announce Type: replace-cross Abstract: The LogSumExp function, dual to the Kullback-Leibler (KL) divergence, plays a central role in many important optimization problems, including entropy-regularized optimal transport (OT) and distributionally robust optimizat…

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