4 papers
Model Selection and Parameter Estimation for Multidimensional Gaussian Mixture Models with a Common Covariance Matrix
Xinyu Liu, Hai Zhang
We study model-order selection and component-mean estimation for multidimensional Gaussian mixture models with a known common covariance matrix. Using empirical characteristic-func…
Towards a Theory of Stable Super-Resolution: Model-Based Formulation and Stability Analysis
Zetao Fei, Hai Zhang
In mathematics, a super-resolution problem can be formulated as acquiring high-frequency data from low-frequency measurements. This extrapolation problem in the frequency domain is…
Model Selection and Parameter Estimation of One-Dimensional Gaussian Mixture Models
Xinyu Liu, Hai Zhang
In this paper, we study the problem of learning one-dimensional Gaussian mixture models (GMMs) with a specific focus on estimating both the model order and the mixing distribution…
SCAN-MUSIC: An Efficient Super-resolution Algorithm for Single Snapshot Wide-band Line Spectral Estimation
Zetao Fei, Hai Zhang
We propose an efficient algorithm for reconstructing one-dimensional wide-band line spectra from their Fourier data in a bounded interval . While traditional subspace metho…