ESTIMATION AND INFERENCE FOR MINIMIZER AND MINIMUM OF CONVEX FUNCTIONS: OPTIMALITY, ADAPTIVITY AND UNCERTAINTY PRINCIPLES

Keyphrases

• Confidence Interval 100%
• Regression Function 100%
• Expected Length 100%
• Uncertainty Principle 100%
• Non-asymptotic 100%
• Adaptivity 100%
• Minimax 100%
• Optimality Principle 100%
• Convex Function 100%
• Convex Regression 100%
• Individual Functions 50%
• Estimation Accuracy 50%
• Fundamental Limits 50%
• Nonparametric Regression 50%
• Optimal Estimation 50%
• Optimal Inference 50%
• Simultaneous Estimation 50%
• Noise Regression 50%
• Computationally Efficient Algorithms 50%
• Fully Adaptive 50%
• Simultaneous Inference 50%
• Sharp Minimax 50%
• Minimax Lower Bound 50%

Mathematics

• Optimality 100%
• Minimax 100%
• Convex Function 100%
• Confidence Interval 66%
• Regression Function 66%
• Nonparametric Regression Model 33%
• Optimal Estimation 33%