卷积神经网络预测椭圆曲线秩

作者 PulseAugur 编辑部 · [1 个来源] · 2026-09-28 04:00

研究人员将一维卷积神经网络应用于预测有理数上椭圆曲线的解析秩。该方法建立在Kazalicki、Vlah、Bujanović和Novak先前工作的基础上，在各种导体上显示出高预测精度。研究还探讨了预测显著性、群涌和Mestre--Nagao和之间的关系。 AI

影响将深度学习技术应用于数论，可能为数学研究和发现开辟新途径。

排序理由该集群包含一篇在arXiv上发表的研究论文，详细介绍了机器学习在数学问题中的新颖应用。[lever_c_demoted from research: ic=1 ai=1.0]

AI 生成摘要 · Google Gemini · 来自 1 个来源。我们如何撰写摘要 →

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arXiv stat.ML TIER_1 English(EN) · Joanna Bieri, Edgar Costa, Alyson Deines, Kyu-Hwan Lee, David Lowry-Duda, Thomas Oliver, Yidi Qi, Tamara Veenstra · 2026-09-28 04:00

鸟群、梅斯特-长尾和椭圆曲线的卷积神经网络

arXiv:2603.17681v2 Announce Type: replace-cross Abstract: We apply one-dimensional convolutional neural networks to the Frobenius traces of elliptic curves over $\mathbb{Q}$ and evaluate and interpret their predictive capacity. In keeping with similar experiments by Kazalicki--Vl…