Publications [#346756] of Galen Reeves
Papers Published
- Kipnis, A; Reeves, G. "Gaussian Approximation of Quantization Error for Estimation from Compressed Data." IEEE International Symposium on Information Theory - Proceedings 2019-July (July, 2019): 2029-2033. [doi]
(last updated on 2024/08/25)Abstract:
We consider the statistical connection between the quantized representation of a high dimensional signal X using a random spherical code and the observation of X under an additive white Gaussian noise (AWGN). We show that given X, the conditional Wasserstein distance between its bitrate-R quantized version and its observation under AWGN of signal-to-noise ratio 22R - 1 is sub-linear in the problem dimension. We then utilize this fact to connect the mean squared error (MSE) attained by an estimator based on an AWGN-corrupted version of X to the MSE attained by the same estimator when fed with its bitrate-R quantized version.