社会中心化与语义崩溃：网络与文本的双曲线嵌入
Social Centralization and Semantic Collapse: Hyperbolic Embeddings of Networks and Text
摘要：
从飞机到互联网的现代交通和通信技术的进步，以及媒体、移民和贸易的全球扩张，使现代世界比以往任何时候都更加紧密地联系在一起。但是，这对全球文化的融合意味着什么呢？在这里，我们探讨了社交网络的中心化与语义表达多样性（如思想、观点和品味）的收缩或崩溃之间的关系。我们通过引入新的流形学习方法，使我们能够将社交网络和语义组合映射到可比的双曲空间中，来推进对这种关系的正式检查。双曲线表示原生地表示系统内的层次和多样性。我们通过研究21世纪物理学中社会中心化和语义多样性之间的关系来说明这种方法，实证证明密集，集中的合作与思想空间的减少以及这些模式如何推广到所有现代学术和科学。我们讨论了这种关联背后的复杂原因，并将结构集中和语义收缩之间的动态相互作用理论化，认为它在差异的供给和需求之间引入了一种本质上的紧张关系。
英文摘要：
Modern advances in transportation and communication technology from airplanes to the internet alongside global expansions of media, migration, and trade have made the modern world more connected than ever before. But what does this bode for the convergence of global culture? Here we explore the relationship between centralization in social networks and contraction or collapse in the diversity of semantic expressions such as ideas, opinions, and tastes. We advance formal examination of this relationship by introducing new methods of manifold learning that allow us to map social networks and semantic combinations into comparable hyperbolic spaces. Hyperbolic representations natively represent both hierarchy and diversity within a system. We illustrate this method by examining the relationship between social centralization and semantic diversity within 21st Century physics, empirically demonstrating how dense, centralized collaboration is associated with a reduction in the space of ideas and how these patterns generalize to all modern scholarship and science. We discuss the complex of causes underlying this association, and theorize the dynamic interplay between structural centralization and semantic contraction, arguing that it introduces an essential tension between the supply and demand of difference.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
