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English(EN) Dimension-Adaptive Batched Lipschitz Narrowing Without Knowing the Zooming Dimension

新算法在不知道缩放维度的情况下自适应 Lipschitz 缩窄

一篇新研究论文介绍了维度自适应批量 Lipschitz 缩窄 (A-BLiN) 方法,该方法消除了对知道缩放维度 ($d_z$) 的依赖。Count-Adaptive BLiN 算法在 $d_z$ 未知的情况下,实现了 $\widetilde{\mathcal O}_d(T^{(d_z+1)/(d_z+2)})$ 的遗憾值,并且批次数为 $\mathcal O_d(\log\log T)$。这项进展在未指定缩放维度的情况下,保持了最优的批次复杂度。 AI

影响 这项研究可能通过消除对特定维度参数的依赖,从而实现更高效的机器学习优化算法。

排序理由 该集群包含一篇关于机器学习算法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

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新算法在不知道缩放维度的情况下自适应 Lipschitz 缩窄

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该集群包含一篇关于机器学习算法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Yasong Feng ·

    无视缩放维度下的维度自适应批量 Lipschitz 缩窄

    arXiv:2609.05214v1 Announce Type: new Abstract: The Appropriately Combined Edge-length (ACE) sequence in A-BLiN depends on the zooming dimension $d_z$. This note removes that dependence. The next edge length is selected from the number of cubes that survive the preceding eliminat…