Variable importance, interaction measures, and partial dependence plots are important summaries in the interpretation of statistical machine learning models. In this article, we describe new visualization techniques for exploring these model summaries. We construct heatmap graph-based displays showing variable importance jointly, which carefully designed to highlight aspects fit. a matrix-type ...

We establish a continuous embedding $W^{s(\cdot),2}(\Omega)\hookrightarrow L^{\alpha(\cdot)}(\Omega)$, where the variable exponent $\alpha(x)$ can be close to critical $2_{s}^*(x)=\frac{2N}{N-2\bar{s}(x)}$, with $\bar{s}(x)=s(x,x)$ for all $x\in\bar{\Omega}$. Subsequently, this is used prove multiplicity of solutions nonlocal degenerate Kirchhoff problems singular exponent. Moreover, we also ob...

the linear adiabatic pulsation-periods of mira variable stars have been derived. approximately 2701[1]models were calculated for m = 0.7 mθ to 2 mθ stars with radii from 180 rθ to 340 rθ and luminosities from 2800 lθ to 10,000 lθ. the chemical composition of all models is (x,z) = (0.7,0.02). from the result of this study, linear relations on luminosity-period-mass relationship and luminosity-pe...

negotiations among nations on policies to promote international economic integration have widened in recent years to cover new issues; for example, foreign direct investment rules, policies to promote competition, the international movement of labor, the environment and monetary :union:. in these negotiations, a consensus among the parties negotiating is usually lacking and many of these negoti...