- Thesis:
- Master in Mathematics
- Author:
- Janina Rastetter
- Title:
- Optimale verteilte Schätzung bei beschränktem Kommunikationsbudget
- Supervisors:
- Jan JOHANNES
- Abstract:
- Distributed minimax estimation under communication constraints for Gaussian sequence model is examined. Basics in information theory are provided to motivate and present an algorithm using a uniquely decodable encoding function. The expected costs of the algorithm remain below the communication budget. An upper bound for a specific estimator and a lower bound are proven resulting in the minimax rate of convergence with respect to the mean squared error for distributed estimation over a given Besov class.
- Reference:
- T. T. Cai und H. Wei. Distributed nonparametric function estimation: optimal rate of convergence and cost of adaptation, The Annals of Statistics, 50(2):698–725, 2022.
| Statistics Group | Institute for Mathematics | Faculty of Mathematics and Computer Science | University Heidelberg |