We provide complete proofs of the lemmas about the properties of the regularized loss function that is used in the second order techniques for learning time-series with structural breaks in Osogami (2021). In addition, we show experimental results that support the validity of the techniques.

翻译：我们提供了关于正常损失功能特性的完全的临床证明,用于在Osogami(2021年)学习时间序列和结构中断的第二顺序技术(2021年),此外,我们展示了支持这些技术有效性的实验结果。