论文标题
监督少数有粒子数量的肮脏玻色子的学习
Supervised learning of few dirty bosons with variable particle number
论文作者
论文摘要
我们通过人工神经网络研究了光学斑点障碍中很少有相互作用的玻色子的监督机器学习。学习曲线显示了不同粒子数和不同相互作用强度的大致通用幂律缩放。我们介绍了一个网络体系结构,该网络体系结构可以在包括不同粒子数字的异质数据集上进行训练和测试。该网络为训练集中包含的所有系统大小提供了准确的预测,并且通过设计,适合尝试推断(计算具有挑战性)较大尺寸。值得注意的是,实施了一种新颖的转移学习策略,通过在训练集中包括许多小规模实例,可以将较大系统的学习基本上加速并始终如一地准确。
We investigate the supervised machine learning of few interacting bosons in optical speckle disorder via artificial neural networks. The learning curve shows an approximately universal power-law scaling for different particle numbers and for different interaction strengths. We introduce a network architecture that can be trained and tested on heterogeneous datasets including different particle numbers. This network provides accurate predictions for all system sizes included in the training set and, by design, is suitable to attempt extrapolations to (computationally challenging) larger sizes. Notably, a novel transfer-learning strategy is implemented, whereby the learning of the larger systems is substantially accelerated and made consistently accurate by including in the training set many small-size instances.