PulseAugur
实时 23:39:59

Neural networks achieve super-fast convergence and represent complex functions with floating-point arithmetic

Two new arXiv papers explore theoretical aspects of neural network convergence and representation capabilities. The first paper demonstrates that neural network classifiers can achieve super-fast convergence rates under specific conditions, including a hard margin scenario, for various activation functions. The second paper investigates the representational power of floating-point networks, showing they can approximate both function values and gradients using automatic differentiation, even with practical activation functions and finite precision arithmetic. AI

影响 These theoretical advancements could inform the design of more efficient and powerful neural network architectures in the future.

排序理由 Two academic papers published on arXiv presenting theoretical findings on neural network convergence and representation.

在 arXiv cs.LG 阅读 →

AI 生成摘要 · Google Gemini · 来自 2 个来源。 我们如何撰写摘要 →

Neural networks achieve super-fast convergence and represent complex functions with floating-point arithmetic

报道来源 [2]

  1. arXiv cs.LG TIER_1 English(EN) · Nathanael Tepakbong, Xiang Zhou, Ding-Xuan Zhou ·

    硬间隔条件下神经网络分类器的超快收敛率

    arXiv:2505.08262v2 Announce Type: replace Abstract: We study the classical binary classification problem for hypothesis spaces of Deep Neural Networks (DNNs) under Tsybakov's low-noise condition with exponent $q>0$, as well as its limit case $q=\infty$, which we refer to as the \…

  2. arXiv cs.LG TIER_1 English(EN) · Sejun Park, Yeachan Park, Geonho Hwang ·

    带自动微分的浮点网络几乎可以表示所有浮点函数及其梯度

    arXiv:2605.01702v1 Announce Type: new Abstract: Theoretical studies show that for any differentiable function on a compact domain, there exists a neural network that approximates both the function values and gradients. However, such a result cannot be used in practice since it as…