通过算子构造 Parseval 融合框
计算与语言
2025-09-30 v1
摘要
本文探讨了如何修改融合框的子空间以构造 Parseval 融合框的问题。为此，扩展了可扩展性概念至融合框的语境中。随后， characterize 了可扩展融合 Riesz 框架，并获得了可扩展 1-过剩融合框的一个具体形式。进一步地，证明了 1-过剩融合双框的 1-过剩共轭融合框不是可扩展的。最后，给出若干例说明以确认所获结果。
引用
@article{arxiv.2509.25107,
title = {Knowledge Extraction on Semi-Structured Content: Does It Remain Relevant for Question Answering in the Era of LLMs?},
author = {Kai Sun and Yin Huang and Srishti Mehra and Mohammad Kachuee and Xilun Chen and Renjie Tao and Zhaojiang Lin and Andrea Jessee and Nirav Shah and Alex Betty and Yue Liu and Anuj Kumar and Wen-tau Yih and Xin Luna Dong},
journal= {arXiv preprint arXiv:2509.25107},
year = {2025}
}