Harnessing the power of sample abundance: Theoretical guarantees and algorithms for accelerated one-bit sensing
One-bit quantization with time-varying sampling thresholds (also known as random
dithering) has recently found significant utilization potential in statistical signal processing …
dithering) has recently found significant utilization potential in statistical signal processing …
Tuning-free one-bit covariance estimation using data-driven dithering
We consider covariance estimation of any subgaussian distribution from finitely many iid
samples that are quantized to one bit of information per entry. Recent work has shown that a …
samples that are quantized to one bit of information per entry. Recent work has shown that a …
A parameter-free two-bit covariance estimator with improved operator norm error rate
A covariance matrix estimator using two bits per entry was recently developed by Dirksen,
Maly and Rauhut [Annals of Statistics, 50 (6), pp. 3538-3562]. The estimator achieves near …
Maly and Rauhut [Annals of Statistics, 50 (6), pp. 3538-3562]. The estimator achieves near …