Sungkyu Jung

activity

20092026

most citedPCA consistency in high dimension, low sample size context

311 citations · 447 across the 20 of their papers we have counts for

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math.MG2017

Uniqueness questions in a scaling-rotation geometry on the space of symmetric positive-definite matrices

David Groisser, Sungkyu Jung, Armin Schwartzman

Jung et al. (2015) introduced a geometric structure on $Sym^{+} (p)$ , the set of $p \times p$ symmetric positive-definite matrices, based on eigen-decomposition. Eigenstructure…

math.MG2016★ 8 cited

Geometric foundations for scaling-rotation statistics on symmetric positive definite matrices: minimal smooth scaling-rotation curves in low dimensions

David Groisser, Sungkyu Jung, Armin Schwartzman

We investigate a geometric computational framework, called the "scaling-rotation framework", on $Sym^{+} (p)$ , the set of $p \times p$ symmetric positive-definite (SPD) matrices…

math.MG2014★ 23 cited

Scaling-rotation distance and interpolation of symmetric positive-definite matrices

Sungkyu Jung, Armin Schwartzman, David Groisser

We introduce a new geometric framework for the set of symmetric positive-definite (SPD) matrices, aimed to characterize deformations of SPD matrices by individual scaling of eigenv…