no code implementations • 9 May 2022 • Yusuke Ono, Linyu Peng
A novel family of geometric signal detectors are proposed through medians of the total Bregman divergence (TBD), which are shown advantageous over the conventional methods and their mean counterparts.
no code implementations • 24 Apr 2022 • Xiaoqiang Hua, Yusuke Ono, Linyu Peng, Yuting Xu
We define a projection that maps the HPD matrices in a high-dimensional manifold to a low-dimensional and more discriminative one to increase the degree of separation of HPD matrices by maximizing the data variance.
no code implementations • 27 May 2021 • Xiaoqiang Hua, Linyu Peng
As customary, the sample data is assumed to be modeled as Hermitian positive-definite (HPD) matrices, and the geometric median of a set of HPD matrices is interpreted as an estimate of the clutter covariance matrix (CCM).
no code implementations • 27 Dec 2020 • Xiaoqiang Hua, Yusuke Ono, Linyu Peng, Yongqiang Cheng, Hongqiang Wang
Information divergences are commonly used to measure the dissimilarity of two elements on a statistical manifold.
