The two-stage estimator is often more tractable when there are nuisance parameters that can be separately estimated and plugged into an objective function. The joint estimator tends to bear the higher computational cost since it estimates all parameters in one stage by optimizing the sum of...

This paper is devoted to developing new applications from the limiting subdifferential in nonsmooth optimization and variational analysis to the study of the Lipschitz behavior of the Pareto solution maps in parametric nonconvex semi-infinite vector optimization problems (SIVO for brevity). We...

We report the characteristics of cavity polaritons in a CuBr microcavity consisting of a λ/2-thick CuBr active layer and HfO<Subscript>2</Subscript>/SiO<Subscript>2</Subscript> distributed Bragg reflectors: λ corresponds to an effective resonant wavelength of the lowest-lying exciton. The excitonic system of a CuBr crystal has three kinds...</subscript></subscript>

Avalanche dynamics is an indispensable feature of complex systems. Here, we study the self-organized critical dynamics of avalanches on scale-free networks with degree exponent γ through the Bak–Tang–Wiesenfeld (BTW) sandpile model. The threshold height of a node i is set as ki1−η with...

We study avalanche dynamics on scale-free networks, following a power-law degree distribution, pd(k)∼k-γ, through the Bak–Tang–Wiesenfeld sandpile model. The threshold height of a node i is set to be ki1-η with 0⩽η1. We obtain the exponents for the avalanche size and the duration...

In scale-free networks, the degree distribution follows a power law with the exponent γ. Many model networks exist which reproduce the scale-free nature of the real-world networks. In most of these models, the value of γ is continuously tunable, thus is not universal. We study a problem of...

We introduce a growing network model which generates both modular and hierarchical structure in a self-organized way. To this end, we modify the Barabási–Albert model into the one evolving under the principles of division and independence as well as growth and preferential attachment (PA). A...