English(EN) Representing MAX functions using two-hidden-layer ReLU networks

开发了MAX函数的新ReLU网络表示

作者 PulseAugur 编辑部 · [1 个来源] · 2026-08-27 04:00

研究人员开发了MAX函数的新两层隐藏ReLU神经网络表示，特别是针对MAX_5、MAX_6、MAX_7和MAX_8。这些发现有助于持续研究表征表示连续分段线性函数所需的隐藏层确切数量。新的表示是通过计算机辅助搜索发现的，与先前获得的结果不同。 AI

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arXiv stat.ML TIER_1 English(EN) · Zhimao Wang, Amitabh Basu · 2026-08-27 04:00

使用两层隐藏层ReLU网络表示MAX函数

arXiv:2608.25221v1 Announce Type: cross Abstract: We study exact representations of $\mathrm{MAX}_N(x)=\max{x_1,\ldots,x_N}$ using two-hidden-layer ReLU neural networks. This problem has been studied in recent years in an attempt to characterize the exact number of hidden layers …