数据流形的距离和几何结构

根据信息几何的观点，介绍了数据流形的距离。Theincreasingimportanceofdatainthemodernworldhascreatedaneedfornewmathematicaltechniquestoanalyzethisdata.Weexploreanddeveloptheuseofgeometry—specificallydifferentialgeometry—asameansforsuchanalysis,intwoparts.First,weprovideageneralframeworktodiscoverpatternscont