论文标题

强大的力量:统计推断和高维统计

The mighty force: statistical inference and high-dimensional statistics

论文作者

Aurell, Erik, Barbier, Jean, Decelle, Aurelien, Mulet, Roberto

论文摘要

这是对编辑卷的贡献“旋转玻璃理论,超越超越 - 复制对称性的损坏”,这是一篇评论,《世界科学》。它通过重点关注三种重要的基于图的模型和方法,从而深远影响了该领域,从而展示了从旋转玻璃社区的各种贡献:图形的推理(又称直接耦合分析),图形的推理(又称图形)(社区检测问题),尤其是动态为动态方法,尤其是从图形上构建了构图。

This is a review to appear as a contribution to the edited volume "Spin Glass Theory & Far Beyond - Replica Symmetry Breaking after 40 Years", World Scientific. It showcases a selection of contributions from the spin glass community at large to high-dimensional statistics, by focusing on three important graph-based models and methodologies having deeply impacted the field: inference of graphs (a.k.a. direct coupling analysis), inference from graphs (the community detection problem), and the dynamic cavity method, which in particular allows for inference from graphs encoding causal relations.

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