论文标题
拓扑数据分析和机器学习
Topological data analysis and machine learning
论文作者
论文摘要
拓扑数据分析是指复杂数据集的系统，可靠地计算摘要``形状''的方法。拓扑数据分析在生活和数据科学中有各种应用，物理学家的兴趣日益增长。我们介绍了（我们希望）对拓扑数据分析在物理和机器学习问题（包括相变检测）中的应用中的应用进行全面审查。我们结束了未来研究的预期方向的预览。
Topological data analysis refers to approaches for systematically and reliably computing abstract ``shapes'' of complex data sets. There are various applications of topological data analysis in life and data sciences, with growing interest among physicists. We present a concise yet (we hope) comprehensive review of applications of topological data analysis to physics and machine learning problems in physics including the detection of phase transitions. We finish with a preview of anticipated directions for future research.
