2 citations · 4 across the 8 of their papers we have counts for
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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.…
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…
Recovery of spectrum from estimated covariance matrices and statistical kernels for machine learning and big data
Saba Amsalu, Juntao Duan, Heinrich Matzinger +1
In this paper we propose two schemes for the recovery of the spectrum of a covariance matrix from the empirical covariance matrix, in the case where the dimension of the matrix is…
Non-normal limiting distribution for optimal alignment scores of strings in binary alphabets
Jun Tao Duan, Heinrich Matzinger, Ionel Popescu
We consider two independent binary i.i.d. random strings and of equal length and the optimal alignments according to a symmetric scoring functions only. We decompose th…