High Dimensional Statistical Estimation Under Uniformly Dithered One-Bit Quantization
High Dimensional Statistical Estimation Under Uniformly Dithered One-Bit Quantization
In this paper, we propose a uniformly dithered 1-bit quantization scheme for high-dimensional statistical estimation. The scheme contains truncation, dithering, and quantization as typical steps. As canonical examples, the quantization scheme is applied to the estimation problems of sparse covariance matrix estimation, sparse linear regression (i.e., compressed sensing), and matrix …