In the context of estimating a covariance matrix, the problem of undersized samples occurs when the number of sample observations is less than the number of variables. One possible solution to such problems as they arise in the estimation of covariance matrices, and more general multivariate ...
Limit theorems for the logarithm of sample spacings Many statistical problems can be reformulated in terms of tests of uniformity. Some strong laws of large numbers and a central limit theorem for the logari... Y Shao,MG Hahn - 《Statistics Probability Letters》 被引量: 58发表: 1995年 LIMIT...
11 February 2016 Published: 03 March 2016 Nicholas Chancellor1, Szilard Szoke2, Walter Vinci3,4, Gabriel Aeppli5,6,7 & Paul A. Warburton1,2 Optimisation problems typically involve finding the ground state (i.e. the minimum energy configuration) of a cost function with respect ...
binary_crossentropy computes element-wise BCE (i.e. each element in y_true/y_pred is an independent binary classification problem) and then averages the loss over the last dimension (i.e. the last dimension represents multiple classification problems that should all be taken into account). Thi...
To achieve this goal, we address two key problems. The first problem is to find the variance of the sample entropy obtained by the empirical frequencies method (Marton and Shields 1994). The second problem involves identifying the optimal length for a rolling window used to estimate the time-...
Aslanzadeh, in Multi-Objective Combinatorial Optimization Problems and Solution Methods, 2022 11.5.3 Entropy balance Entropy generation is associated with the losses in the system. The entropy generated within a process is called entropy generation and it is denoted by S˙gen. The entropy generation...
Regardless of the approach chosen, for the sample problem reported herein, excellent resolution of multiple delta-like spikes is produced from MRE from noisy, diffuse data. The usefulness of MRE for noisy inverse problems has been demonstrated. 展开 ...
Sparse Polynomial Chaos Expansion (PCE) is widely used in various engineering fields to quantitatively analyse the influence of uncertainty, while alleviating the problem of dimensionality curse. However, current sparse PCE techniques focus on choosing f
3.5.5.1 Thermodynamic Origin of Simple Phase Diagrams Illustrated by Regular Solution Theory Figure 20 shows several phase diagrams calculated for a hypothetical system A–B containing a solid and a liquid phase with melting points of Tf(A)o=800K and Tf(B)o=1200K and with entropies of fusion...
The Appropriate Use of Approximate Entropy and Sample Entropy with Short Data Sets. Ann. Biomed. Eng. 2013, 41, 349–365. [Google Scholar] [CrossRef] Montesinos, L.; Castaldo, R.; Pecchia, L. On the use of approximate entropy and sample entropy with centre of pressure time-series. J...