Deep residual networkSpatiotemporal dataFeature enhancementInterval prediction is an efficient approach for quantifying the uncertainties of future flow. In this paper, a novel method, based on the combination of a deep residual neural network (ResNet) and lower and upper bound estimation (LUBE), ...
3, the lower and upper bound both consists of two segments in this case. Generally, we can get the expression of co(R L (c)) and ca(R U (c)) for other parameters α and m using similar method. Examples In the following, we give two examples as applications of the above results....
thenis a GLB. The two-fold use of (1.1) is a priori or a posteriori. First, given an upper boundof(e.g., by some conforming approximation or post-processing),
In this paper, we develop a unified framework for lower bound methods in statistical estimation and interactive decision making. Classical lower bound techniques—such as Fano’s inequality, Le Cam’s method, and Assouad’s lemma—have been central to the study of minimax risk in statistical esti...
In order to provide a guaranteed precision and a more accurate judgement about the true value of the Cram茅r-Rao bound and its scaling behavior, an upper bound (equivalently a lower bound on the quantum Fisher information) for precision of estimation is introduced. Unlike the bounds previously ...
Our main technique for achieving this lower bound is a general framework, called General Private Assouad Lemma, which is a considerable generalization of the previous private Assouad lemma and can be used as a general method for bounding the private minimax risk of matrix-related estimation problems...
ingprocess,usingdifferentlowerboundestimation methods. 1.Introduction RecentadvancesinBooleanSatisfiability(SAT) haveresultedinnewandeffectivealgorithmsforsolv- ingtheLinearPseudo-BooleanOptimizationprob- lem[2,4,7].Thesealgorithmsperformalinearsearch ...
Hu, J., Huang, Y.Q., Shen, Q.: Constructing both lower and upper bounds for the eigenvalues of the elliptic operators by the nonconforming element (under review) Kikuchi, F., Liu, X.: Estimation of interpolation error constants for the P0 and P1 triangular finite elements. Comput. Meth...
lower boundupper bound Model 1A (+ cold-induced percentage decline in SCV PDFF)59 Empty Cell Empty Cell Empty Cell Empty Cell Empty Cell Empty Cell0.3380.289< 0.001∗ Age (years) 0.085 0.049 0.221 −0.013 0.183 0.087 Gender (male) 0.430 0.899 0.056 −1.373 2.233 0.635 Cold-induced...
2) lower (upper) confidence limit 置信下限(置信上限)3) confidence lower limit 置信下限 1. According to the study of unrepairable product residue mean life,based on the mathematical description of the residue mean life and the basic knowledge of reliability and mathematical statistics,a method ...