On Communication Cost of Distributed Statistical Estimation and Dimensionality. Garg, A., Ma, T., & Nguyen, H. L. In Advances in Neural Information Processing Systems 27, NeurIPS'14, pages 2726–2734, 2014.
[GMN14] Uses strong data processing inequalities (SDPI) to obtain lower bounds for simultaneous message passing (SMP) protocols for various settings, specifically Gaussian mean estimation under $\ell_2$ loss. Also incudes matching upper bounds in the blackboard model, which can be generalized to $\ell_p$ in the sequentially interactive model.

bibtex   
@inproceedings{GMN14,
  author    = {Ankit Garg and
               Tengyu Ma and
               Huy L. Nguyen},
  title     = {On Communication Cost of Distributed Statistical Estimation and Dimensionality},
  booktitle = {Advances in Neural Information Processing Systems 27, {NeurIPS'14}},
  pages     = {2726--2734},
  year      = {2014},
  bibbase_note = {<div class="well well-small bibbase"><span class="bluecite">[GMN14]</span> Uses strong data processing inequalities (SDPI) to obtain lower bounds for simultaneous message passing (SMP) protocols for various settings, specifically Gaussian mean estimation under $\ell_2$ loss. Also incudes matching upper bounds in the blackboard model, which can be generalized to $\ell_p$ in the sequentially interactive model.</div>}
}

Downloads: 0