24 citations · 91 across the 27 of their papers we have counts for
20 papers · 1 filter
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.…
An Analytical Formula for Spectrum Reconstruction
Zhibo Dai, Heinrich Matzinger, Ionel Popescu
We study the spectrum reconstruction technique. As is known to all, eigenvalues play an important role in many research fields and are foundation to many practical techniques such…
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…
Lower bounds for moments of global scores of pairwise Markov chains
Jüri Lember, Heinrich Matzinger, Joonas Sova +1
Let and be two random sequences so that every random variable takes values in a finite set . We consider a global similarity score $L_…
Reconstruction of a multidimensional scenery with a branching random walk
Heinrich Matzinger, Serguei Popov, Angelica Pachon
In this paper we consider a d-dimensional scenery seen along a simple symmetric branching random walk, where at each time each particle gives the color record it is seeing. We show…