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Uncertainty quantification (UQ) is essential for producing informative computational predictions in a wide range of sciences and engineering. The field relies on a broad range of mathematical and stat...
WEAK UNCERTAINTY PRINCIPLE FOR FRACTALS,GRAPHS AND METRIC MEASURE SPACES
Uncertainty principle p.c.f. fractal Heisenberg’s inequality measure metric spaces Poincar′ e inequality self-similar graphs Sierpinski ′ gasket uniform finitely ramified graphs
2015/12/10
We develop a new approach to formulate and prove the weak uncertainty inequality which was recently introduced by Okoudjou and Strichartz.We assume either an appropriate measure growth condition with ...
Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information
Random matrices free probability sparsity trigonometric expansions uncertainty principle convex optimization duality in optimization total-variation minimization image reconstruction linear programming
2015/6/17
This paper considers the model problem of reconstructing an object from incomplete frequency samples. Consider a discrete-time signal f ∈ CN and a randomly chosen set of frequencies Ω. Is it pos...
Criteria for Factorial Designs Under Model Uncertainty
Criteria for Factorial Designs Model Uncertainty
2015/3/20
Criteria for Factorial Designs Under Model Uncertainty.
A new approach to incorporate uncertainty into Euler's method
Euler’s Method Fuzzy Initial Value Fuzzy Set
2010/9/27
Fuzzy set provides a powerful technique to introduce uncertainty into numerical methods. However, the computations of fuzzy sets often face difficult problems. This is due to non-applicability of comm...