The objective of change-point detection is to discover abrupt property changes lying behind time-series data. In this paper, we present a novel statistical change-point detection algorithm based on non-parametric divergence estimation between time-series samples from two retrospective segments. Our method uses the relative Pearson divergence as a divergence measure, and it is accurately and eff...

Divergence paralysis is characterized by acquired horizontal homonymous diplopia when viewing distant objects but without limitation of ocular movements (Bielschowsky, I935). Although raised intracranial pressure is a significant aetiological factor in the production of divergence paralysis (Bender and Savitsky, I940; Chamlin and Davidoff, I950, 1951), there has been much diversity of opinion a...

We prove the doubling property of L-caloric measure corresponding to the second order parabolic equation in the whole space and in Lipschitz domains. For parabolic equations in the divergence form, a weaker form of the doubling property follows easily from a recent result, the backward Harnack inequality, and known estimates of the Green's function. Our method works for both the divergence and ...

Divergence paralysis is characterized by acquired horizontal homonymous diplopia when viewing distant objects but without limitation of ocular movements (Bielschowsky, I935). Although raised intracranial pressure is a significant aetiological factor in the production of divergence paralysis (Bender and Savitsky, I940; Chamlin and Davidoff, I950, 1951), there has been much diversity of opinion a...

Cultural divergence is incongruity in the values, attitudes and behaviors among different generations of a society. Identifying factors related to cultural divergence in the social values ​​of parents and children is one of the most important issues in Iranian society, which has been investigated in the present research through a quantitative approach. The statistical population of the study co...

In this paper we show how the Shannon entropy is connected to the theory of majorization. They are both linked to the measure of disorder in a system. However, the theory of majorization usually gives stronger criteria than the entropic inequalities. We give some generalized results for majorization inequality using Csiszár f-divergence. This divergence, applied to some special convex functions...

We define a family of quasi-isometry invariants of groups called higher divergence functions, which measure isoperimetric properties “at infinity.” We give sharp upper and lower bounds on the divergence functions for right-angled Artin groups, using different pushing maps on the associated cube complexes. In the process, we define a class of RAAGs we call orthoplex groups, which have the proper...

Abstract. We give a new characterization of relative entropy, also known as the Kullback–Leibler divergence. We use a number of interesting categories related to probability theory. In particular, we consider a category FinStat where an object is a finite set equipped with a probability distribution, while a morphism is a measure-preserving function f : X → Y together with a stochastic right in...

In this paper, we propose a novel similarity measure based on co-occurrence probabilities for inducing semantic classes. Clustering with the new similarity measure outperformed that with the widely used distance measure based on Kullback-Leibler divergence in precision, recall and F1 evaluation. We then use the induced semantic classes and structures by the new similarity measure to generate in...