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math.PR2021

Invariance principle of random projection for the norm

Juntao Duan, Ionel Popescu, Heinrich Matzinger

Johnson-Lindenstrauss guarantees certain topological structure is preserved under random projections when project high dimensional deterministic vectors to low dimensional vectors.…

math.PR2021

A product-CLT and its application in invariance principle of random projection

JunTao Duan, Ionel Popescu, Fan Zhou

Johnson-Lindenstrauss lemma states random projections can be used as a topology preserving embedding technique for fixed vectors. In this paper, we try to understand how random pro…