论文标题
通过异常过渡失去物质训练性的丧失
Loss of material trainability through an unusual transition
论文作者
论文摘要
材料训练是一种通过外部驾驶来赋予具有特定响应的材料的方法。我们研究了可达到的响应的复杂性，如同时控制的站点数量所示。随着复杂性的增加，收敛到所需的响应变得非常慢。训练误差作为一个指数持续变化并在关键阈值中消失的指数的幂律衰减，标志着可训练的响应的极限。我们研究过渡如何影响振动特性。接近临界阈值，低频模式增殖，接近零频率。这意味着训练会导致材料降解，并且由于竞争性的虚假低频模式而导致训练失败。我们建议过量的低频频谱是由于具有几乎对齐的键的非典型局部结构所致。我们的工作解释了异国情调的关键点的存在如何影响培训的融合，并且可能与理解物理系统中的学习有关。
Material training is a method to endow materials with specific responses through external driving. We study the complexity of attainable responses, as expressed in the number of sites that are simultaneously controlled. With increased complexity, convergence to the desired response becomes very slow. The training error decays as a power-law with an exponent that varies continuously and vanishes at a critical threshold, marking the limit of trainable responses. We study how the transition affects the vibrational properties. Approaching the critical threshold, low frequency modes proliferate, approaching zero frequency. This implies that training causes material degradation and that training fails due to competing spurious low frequency modes. We propose that the excess low frequency spectrum is due to atypical local structures with bonds that nearly align. Our work explains how the presence of an exotic critical point affects the convergence of training, and could be relevant for understanding learning in physical systems.
