Communication lower bounds for statistical estimation problems via a distributed data processing inequality. Braverman, M., Garg, A., Ma, T., Nguyen, H. L., & Woodruff, D. P. In Symposium on Theory of Computing Conference, STOC'16, pages 1011–1020, 2016. ACM. [BGMNW16] Significantly generalizes [GMN14], extending the lower bounds to the blackboard model, and the upper bounds to the SMP model. Includes tight results for sparse mean estimation. The lower bounds are obtained via a combination of strong data processing inequalities (SDPI) and the "cut-and-paste" property of Hellinger distance.
bibtex @inproceedings{BGMNW16,
author = {Mark Braverman and
Ankit Garg and
Tengyu Ma and
Huy L. Nguyen and
David P. Woodruff},
title = {Communication lower bounds for statistical estimation problems via
a distributed data processing inequality},
booktitle = {Symposium on Theory of Computing Conference, {STOC'16}},
pages = {1011--1020},
publisher = {{ACM}},
year = {2016},
bibbase_note = {<div class="well well-small bibbase"><span class="bluecite">[BGMNW16]</span> Significantly generalizes [GMN14], extending the lower bounds to the blackboard model, and the upper bounds to the SMP model. Includes tight results for sparse mean estimation. The lower bounds are obtained via a combination of strong data processing inequalities (SDPI) and the "cut-and-paste" property of Hellinger distance.</div>}
}
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