Algorithms based on statistical models compete favorably with other global optimization algorithms as shown by extensive testing results. A theoretical inadequacy of previously used statistical models for smooth objective functions was eliminated by the authors who in a recent paper have constructed a P-algorithm for a statistical model of smooth functions. In the present note a modification of...

Specification of cloud droplet size distributions is essential for the calculation of radiation transfer in clouds and cloud-climate interactions, and for remote sensing of cloud properties. Despite the effort and progress made over the last few decades, a number of vital issues remain unsolved. For example, 1) It is well known that observed droplet size distributions are generally much broader...

We model learning in a continuous-time Brownian setting where there is prior ambiguity. The associated model of preference values robustness and is timeconsistent. The model is applied to study optimal learning when the choice between actions can be postponed, at a per-unit-time cost, in order to observe a signal that provides information about an unknown parameter. The corresponding optimal st...

Theorem 1 (i.e., Theorem 3 in the paper) shows that the stability of a linear propagation model can 8 be maintained by regularizing all the weights of each pixel in the hidden layer such the summation 9 of their absolute values is less than one. For the one-way connection, Chen et al. [1] maintain each 10 scalar output p to be within (0, 1). Liu et al. [4] extend the range to (−1, 1), where the...

Introduction In order to indicate human’s belief degree on the chance that an event happens, an uncertain measure was defined by Liu [1, 2] as a set function satisfying normality, duality, subadditivity and product axioms. Uncertain set, initialized by Liu [3], is a set-valued function on an uncertainty space to model the unsharp concepts such as “old people” and “heavy vehicles”. In order to d...

In the paper we deal with the uniqueness problem of meromorphic functions sharing a finite value with their derivatives. The results in this paper improve those given by Lahiri-Sarkar, Liu-Yang and others. In addition, a recent result of the first present author is complemented in this paper.

Tian Zhou 1,2, Zhiqiang Sun 2,*, Saiwei Li 2, Huawei Liu 2 and Danqing Yi 1 1 School of Materials Science and Engineering, Central South University, Changsha 410083, China; [email protected] (T.Z.); [email protected] (D.Y.) 2 School of Energy Science and Engineering, Central South University, Changsha 410083, China; [email protected] (S.L.); [email protected] (H.L.) * Correspondence: zqsun@csu....