We are extending Popularity Bias Memorization theorem from arXiv:archive/2404.12008 in several directions. We extend it to arbitrary degree distributions and also prove both upper and lower estimates for the alignment with top-k singular hyperspace.

翻译：我们正从多个方向扩展arXiv:archive/2404.12008中的流行度偏差记忆定理。我们将其推广至任意度分布，并同时证明了与top-k奇异超空间对齐的上界与下界估计。