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English(EN) Holomorphic Cauchy Networks for Efficient Stationary Tail Computation in High-Dimensional Reflected Brownian Motions

新型高阶柯西网络提高高维布朗运动计算效率

研究人员开发了高阶柯西网络(HCNs),以解决高维反射布朗运动(RBMs)平稳尾部计算的计算挑战。这些网络利用共享坐标基本伴随关系(BAR)框架和原生的复值有理柯西子网络来强制执行全纯性,从而消除了对采样柯西-黎曼惩罚的需求。与之前的NN4MGF等方法相比,HCNs在内存使用和更新时间方面显示出显著的改进,30维配置使用的峰值内存减少了十倍,并实现了预计58.2倍的全调度更新时间。HCNs还显示出有希望的准确性,在笔记本电脑GPU上达到50维,平均相对误差为6.367%,并且优于现有基准。 AI

影响 引入了一种新颖的神经网络架构,可显著提高复杂数学建模任务的计算效率。

排序理由 详细介绍新计算方法的学术论文。[lever_c_demoted from research: ic=1 ai=0.7]

在 Hugging Face Daily Papers 阅读 →

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新型高阶柯西网络提高高维布朗运动计算效率

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详细介绍新计算方法的学术论文。[lever_c_demoted from research: ic=1 ai=0.7]
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报道来源 [1]

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

    高维反射布朗运动中用于高效平稳尾部计算的全纯柯西网络

    Stationary tail computation for high-dimensional reflected Brownian motions (RBMs) remains computationally challenging. Building on NN4MGF's shared-coordinate basic-adjoint-relationship (BAR) framework, we develop Holomorphic Cauchy Networks (HCNs). Native complex-valued rational…