English(EN) Double descent is the principle of least action

新理论用统计力学解释双下降

作者 PulseAugur 编辑部 · [1 个来源] · 2026-09-17 04:00

一篇新发表在arXiv上的论文提出，机器学习模型中“双下降”现象可以用统计力学中的最小作用量原理来解释。该研究将基于随机梯度的方法的训练轨迹框架化为一个粒子在能量景观中移动，其中添加参数可以有效降低温度并影响玻尔兹曼分布。该框架表明，增加参数可以作为一种权重正则化形式，影响模型的测试误差。 AI

影响为理解模型行为提供了一个新颖的理论视角，可能指导未来模型优化和泛化方面的研究。

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arXiv cs.AI TIER_1 English(EN) · Congzhou M Sha · 2026-09-17 04:00

双重下降是最小作用量原理

arXiv:2609.19076v1 Announce Type: cross Abstract: The test error of a model plotted against its number of parameters $d$ falls, peaks when the model can just fit the training data, and falls again, exhibiting the double descent phenomenon. We explain the phenomenon with statistic…