Minimax vs. Consistency. 2 Unconstrained Recovery Smoothest approximation approach:

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Presentation transcript:

Minimax vs. Consistency

2 Unconstrained Recovery Smoothest approximation approach:

3 Unconstrained Recovery Minimax approach: Feasible set: Worst case design:

4 Unconstrained Recovery Comparison with common methods Bicubic Interpolation Minimax

5 Constrained Recovery Consistent approach:

6 Unconstrained Recovery Minimax regret approach: Feasible set: Worst case design:

7 Unconstrained Recovery Minimax regret approach: Feasible set: Worst case design:

8 Constrained Recovery Triangular Kernel (Linear Interpolation)Consistent Minimax Regret

9 Constrained Recovery Comparison when L=I