Data analysis on nonstandard spaces

SF Huckemann, B Eltzner - Wiley Interdisciplinary Reviews …, 2021 - Wiley Online Library
The task to write on data analysis on nonstandard spaces is quite substantial, with a huge
body of literature to cover, from parametric to nonparametrics, from shape spaces to …

Omnibus CLTs for Fréchet means and nonparametric inference on non-Euclidean spaces

R Bhattacharya, L Lin - Proceedings of the American Mathematical Society, 2017 - ams.org
Two central limit theorems for sample Fréchet means are derived, both significant for
nonparametric inference on non-Euclidean spaces. The first theorem encompasses and …

A smeary central limit theorem for manifolds with application to high-dimensional spheres

B Eltzner, SF Huckemann - 2019 - projecteuclid.org
The (CLT) central limit theorems for generalized Fréchet means (data descriptors assuming
values in manifolds, such as intrinsic means, geodesics, etc.) on manifolds from the literature …

Conditional and unconditional Cramér-Rao bounds for near-field localization in bistatic MIMO radar systems

L Khamidullina, I Podkurkov… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
The location estimation problem has been attracting a lot of research interest in recent years
due to its significance for different areas of signal processing. This paper deals with a bistatic …

Intrinsic means on the circle: uniqueness, locus and asymptotics

T Hotz, S Huckemann - Annals of the Institute of Statistical Mathematics, 2015 - Springer
This paper gives a comprehensive treatment of local uniqueness, asymptotics and numerics
for intrinsic sample means on the circle. It turns out that local uniqueness as well as rates of …

Non-bayesian periodic Cramér-Rao bound

T Routtenberg, J Tabrikian - IEEE Transactions on Signal …, 2012 - ieeexplore.ieee.org
The Cramér-Rao bound (CRB) is one of the most important tools for performance analysis in
parameter estimation. In many practical periodic parameter estimation problems, the …

Polynomial phase estimation by least squares phase unwrap**

RG McKilliam, BG Quinn, IVL Clarkson… - IEEE Transactions …, 2014 - ieeexplore.ieee.org
Estimating the coefficients of a noisy polynomial phase signal is important in fields including
radar, biology and radio communications. One approach attempts to perform polynomial …

Bayesian periodic cramér-rao bound

T Routtenberg, J Tabrikian - IEEE Signal Processing Letters, 2022 - ieeexplore.ieee.org
The Cramér-Rao bound (CRB) has been extensively used as a benchmark for estimation
performance in both Bayesian and non-Bayesian frameworks. In many practical periodic …

Cyclic Barankin-type bounds for non-Bayesian periodic parameter estimation

T Routtenberg, J Tabrikian - IEEE transactions on signal …, 2014 - ieeexplore.ieee.org
In many practical periodic parameter estimation problems, the appropriate performance
criteria are periodic in the parameter space. The existing mean-square-error (MSE) lower …

Modified minimum squared error algorithm for robust classification and face recognition experiments

Y Xu, X Fang, Q Zhu, Y Chen, J You, H Liu - Neurocomputing, 2014 - Elsevier
In this paper, we improve the minimum squared error (MSE) algorithm for classification by
modifying its classification rule. Differing from the conventional MSE algorithm which first …