In this paper, we consider a fuzzy c-means (FCM) clustering algorithm combined with the deterministic annealing method and the Tsallis entropy maximization. The Tsallis entropy is a q-parameter extension of the Shanno...In this paper, we consider a fuzzy c-means (FCM) clustering algorithm combined with the deterministic annealing method and the Tsallis entropy maximization. The Tsallis entropy is a q-parameter extension of the Shannon entropy. By maximizing the Tsallis entropy within the framework of FCM, membership functions similar to statistical mechanical distribution functions can be derived. One of the major considerations when using this method is how to determine appropriate q values and the highest annealing temperature, Thigh?, for a given data set. Accordingly, in this paper, a method for determining these values simultaneously without introducing any additional parameters is presented. In our approach, the membership function is approximated by a series of expansion methods and the K-means clustering algorithm is utilized as a preprocessing step to estimate a radius of each data distribution. The results of experiments indicate that the proposed method is effective and both q and Thigh can be determined automatically and algebraically from a given data set.展开更多
1 Results Recently much interest was focused on the indium chemistry. Barbier and, Reformatsky types of reactions are main streams of the chemistry. The synthetic application of indium hydride (HInCl2), however, has b...1 Results Recently much interest was focused on the indium chemistry. Barbier and, Reformatsky types of reactions are main streams of the chemistry. The synthetic application of indium hydride (HInCl2), however, has been just started in contrast to the chemistry of the same 13th group of elements such as aluminum and boron hydrides. At first we generated the hydride by the transmetallation between Bu3SnH and InCl3, and then found it has both considerable stability and reactivity, and the hydride could b...展开更多
文摘In this paper, we consider a fuzzy c-means (FCM) clustering algorithm combined with the deterministic annealing method and the Tsallis entropy maximization. The Tsallis entropy is a q-parameter extension of the Shannon entropy. By maximizing the Tsallis entropy within the framework of FCM, membership functions similar to statistical mechanical distribution functions can be derived. One of the major considerations when using this method is how to determine appropriate q values and the highest annealing temperature, Thigh?, for a given data set. Accordingly, in this paper, a method for determining these values simultaneously without introducing any additional parameters is presented. In our approach, the membership function is approximated by a series of expansion methods and the K-means clustering algorithm is utilized as a preprocessing step to estimate a radius of each data distribution. The results of experiments indicate that the proposed method is effective and both q and Thigh can be determined automatically and algebraically from a given data set.
文摘1 Results Recently much interest was focused on the indium chemistry. Barbier and, Reformatsky types of reactions are main streams of the chemistry. The synthetic application of indium hydride (HInCl2), however, has been just started in contrast to the chemistry of the same 13th group of elements such as aluminum and boron hydrides. At first we generated the hydride by the transmetallation between Bu3SnH and InCl3, and then found it has both considerable stability and reactivity, and the hydride could b...
