English(EN) Kolmogorov--Arnold stability for discontinuous functions

新论文探讨了不连续函数的Kolmogorov-Arnold稳定性

作者 PulseAugur 编辑部 · [1 个来源] · 2026-09-10 04:00

一篇新论文探讨了Kolmogorov-Arnold表示定理（KART）应用于不连续和无界函数时的稳定性。该研究专门调查了隐藏层的对抗性重新参数化如何影响这种稳定性。研究结果旨在为深度学习架构（如Kolmogorov-Arnold网络（KANs））在对抗性配置下的弹性提供更强的数学基础。 AI

影响为深度学习架构抵抗对抗性攻击的鲁棒性提供了理论基础。

排序理由该集群包含一篇关于机器学习理论方面的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

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arXiv cs.LG TIER_1 English(EN) · Sviatoslav V. Dzhenzher · 2026-09-10 04:00

Kolmogorov--Arnold 稳定性用于不连续函数

arXiv:2609.07240v1 Announce Type: new Abstract: Here we investigate the stability of the Kolmogorov--Arnold representation theorem (KART) under adversarial reparameterisations of the hidden layer for multivariate discontinuous and unbounded functions. Our results provide a rigoro…