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English(EN) Unraveling the iterative CHAD

新的CHAD框架扩展了复杂程序的自动微分

研究人员开发了组合同态自动微分(CHAD)的扩展,这是一种转换函数式程序以计算其导数的方法。这个名为迭代式CHAD的新框架处理包含部分运算、条件逻辑和循环的程序,同时保留了原始CHAD的结构保持语义。其核心创新在于迭代扩展索引范畴,将迭代整合到依赖类型编程语言中,从而能够推导出正确计算反向模式导数的程序。 AI

影响 增强了复杂编程场景下自动微分的能力,可能提高基于梯度的机器学习算法的效率。

排序理由 详细介绍自动微分新理论框架的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

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新的CHAD框架扩展了复杂程序的自动微分

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详细介绍自动微分新理论框架的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv cs.AI TIER_1 English(EN) · Fernando Lucatelli Nunes, Gordon Plotkin, Matthijs V\'ak\'ar ·

    揭秘迭代式CHAD

    arXiv:2505.15002v3 Announce Type: replace-cross Abstract: Combinatory Homomorphic Automatic Differentiation (CHAD) was originally formulated as a semantics-driven source-to-source transformation for reverse-mode automatic differentiation of total functional programs. We extend CH…