Geometric Lower Bounds for Distributed Parameter Estimation under Communication Constraints

Keyphrases

• Bernoulli Model 33%
• Communication Constraints 100%
• Communication Efficiency 33%
• Distributed Network 33%
• Distributed Parameter Estimation 100%
• Distributed Settings 33%
• Distribution Class 33%
• Effective Sample Size 33%
• Geometric Approach 33%
• High-dimensional Distribution 33%
• Information-theoretic Bounds 33%
• Large Classes 33%
• Location Model 33%
• Minimax Risk 33%
• Multinomial Model 33%
• Parameter Estimation 66%
• Regularity Conditions 33%
• Sample Size Reduction 33%
• Strong Data Processing Inequality 33%
• Sub-Gaussian 33%
• Underlying Distribution 33%

Mathematics

• Bernoulli Model 50%
• Communicates 50%
• Dimensional Distribution 50%
• Distributed Parameter 100%
• Effective Sample Size 50%
• Estimated Parameter 50%
• Gaussian Distribution 100%
• Independent Sample 50%
• Minimax 50%
• Parameter Estimation 100%
• Regularity Condition 50%
• Underlying Distribution 50%

Computer Science

• Data Processing 50%
• Dimensional Distribution 50%
• Distributed Network 50%
• Geometric Approach 50%
• Independent Sample 50%
• Parameter Estimation 100%
• Regularity Condition 50%
• Underlying Distribution 50%