The presence of organization of atrial activation processes during atrial fibrillation has been investigated to assess whether the activation sequences are wholly random or are governed by deterministic mechanisms. We performed a linear analysis based on the cross correlation function and a non linear analysis based on two algorithms. The first one detects and qualifies recurrent patterns of th...

Given a set of time series, our goal is to identify prototypes that cover the maximum possible amount of occurring subsequences regardless of their order. This scenario appears in the context of the automotive industry, where the goal is to determine operational profiles that comprise frequently recurring driving behavior patterns. This problem can be solved by clustering, however, standard dis...

Recurrence Plots are graphical tools based on Phase Space Reconstruction. Recurrence Quantification Analysis (RQA) is a statistical quantification of RPs. RP and RQA are good at working with non-stationarity and noisy data, in detecting changes in data behavior, in particular in detecting breaks, like a phase transition and in informing about other dynamic properties of a time series. Endogenou...

The influence of property, plant and equipment (Fixed Assets) and the quality of infrastructure on return was analyzed in the hospitality industry in emerging markets. The analysis unit was Colombia, a member of the CIVETS emerging market group. Financial healthwas determined by the relationships among return on fixed assets ratio,fixed assets net worth and fixed assets turnover ratios. Besides...

The converse statement is also true and is known as the spectral theorem for orthogonal polynomials : if a family of polynomials satisfies a three-term recurrence relation of the form (1.2), with an > 0 and bn ∈ R and initial conditions p0 = 1 and p−1 = 0, then there exists a probability measure μ on the real line such that these polynomials are orthonormal polynomials satisfying (1.1). This gi...

A methodology based upon recurrence quantification analysis is proposed for the study of orthographic structure of written texts. Five different orthographic data sets (20th century Italian poems, 20th century American poems, contemporary Swedish poems with their corresponding Italian translations, Italian speech samples, and American speech samples) were subjected to recurrence quantification ...

This paper proposes a method for the measurement and quantification of the impact of accents on speech models. An accent metric is introduced based on the cross entropy (CE) of the probability models of speech from different accents. The CE metric has potentials for use in analysis, identification, quantification and ranking of the salient features of accents. The accent metric is used for phon...

Abstract. We consider the problem of developing automated techniques for solving recurrence relations to aid the expected-runtime analysis of programs. Several classical textbook algorithms have quite efficient expected-runtime complexity, whereas the corresponding worst-case bounds are either inefficient (e.g., QUICK-SORT), or completely ineffective (e.g., COUPON-COLLECTOR). Since the main foc...

A recurrence plot is a visualization tool for analyzing experimental data. These plots often reveal correlations in the data that are not easily detected in the original time series. Existing recurrence plot analysis techniques, which are primarily application oriented and completely quantitative, require that the time-series data first be embedded in a high-dimensional space, where the embeddi...