EPISODE · Jun 5, 2026 · 20 MIN
EML:算子重构数学宇宙
from 每日AI · host 每日新闻
这篇文章介绍了一种新发现的EML运算符($eml(x, y) = e^x - \ln(y)$),证明了它与常数1结合,足以构建出所有标准的初等数学函数。正如数字电路通过单一的NAND门实现所有逻辑运算一样,作者展示了如何利用这一单一原语替代科学计算器上复杂的功能按钮。通过将数学公式转化为统一的二叉树结构,该研究为符号回归提供了一种全新的连续优化框架,能够利用梯度下降法从数值数据中精确恢复解析表达式。这种高度精简的数学表示法不仅揭示了连续函数背后隐藏的结构统一性,还为类比电路设计及可解释的人工智能提供了新的计算范式。
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EML:算子重构数学宇宙
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