identifying clusters or clustering is an important aspect of data analysis. it is the task of grouping a set of objects in such a way those objects in the same group/cluster are more similar in some sense or another. it is a main task of exploratory data mining, and a common technique for statistical data analysis this paper proposed an improved version of k-means algorithm, namely persistent k...

Identifying clusters or clustering is an important aspect of data analysis. It is the task of grouping a set of objects in such a way those objects in the same group/cluster are more similar in some sense or another. It is a main task of exploratory data mining, and a common technique for statistical data analysis This paper proposed an improved version of K-Means algorithm, namely Persistent K...

Abstract. Persistent homology was shown by Zomorodian and Carlsson [35] to be homology of graded chain complexes with coefficients in the graded ring k[t]. As such, the behavior of persistence modules — graded modules over k[t] — is an important part in the analysis and computation of persistent homology. In this paper we present a number of facts about persistence modules; ranging from the wel...

OBJECTIVE Our objective was to explore whether adults hold different beliefs about medications to which they persist vs nonpersist and persist vs nonfulfull. METHODS We conducted a cross-sectional survey of adults with asthma, hypertension, diabetes, hyperlipidemia, osteoporosis, or other cardiovascular disease from the Harris Interactive Chronic Illness Panel. A quota was set to obtain a sam...

background: few cases of persistent hyperinsulinemic hypoglycemia of infancy (phhi) have been reported, so far. the main concern in the management of phhi is to prevent severe hypoglycemia, which can lead to coma, brain damage and mental retardation. total or subtotal pancreatectomy is normally required for the infants, despite the availability of medical therapies. case report: in this report,...

Previous work suggested a role for the voltage-dependent persistent sodium current, I(Na,P), in the generation of seizures and spreading depression (SD). Ordinarily, I(Na,P) is small in hippocampal neurons. We investigated the effect of raising external K(+) concentration, [K(+)](o), on whole-cell persistent inward current in freshly isolated hippocampal CA1 pyramidal neurons. I(Na,P) was ident...

The final step in the direct restoration of the nociceptor threshold by peripheral administration of morphine and dipyrone was recently suggested to result from the opening of ATP-sensitive K(+) channels (K(ATP)(+)). This channel is known to be open either directly by cGMP or indirectly via protein kinase G (PKG) stimulation. In the present study, it was shown that the blockade was caused by a ...

Persistence is considered in diffusion–limited cluster–cluster aggregation, in one dimension and when the diffusion coefficient of a cluster depends on its size s as D(s) ∼ s . The empty and filled site persistences are defined as the probabilities, that a site has been either empty or covered by a cluster all the time whereas the cluster persistence gives the probability of a cluster to remain...

Persistent homology appears as a fundamental tool in Topological Data Analysis. It studies the evolution of k−dimensional holes along a sequence of simplicial complexes (i.e. a filtration). The set of intervals representing birth and death times of k−dimensional holes along such sequence is called the persistence barcode. k−dimensional holes with short lifetimes are informally considered to be ...