Multiscale entropy (MSE) analysis [1, 2] is a new method of measuring the complexity of finite length time series. This computational tool can be applied both to physical and physiologic data sets, and can be used with a variety of measures of entropy. We have developed and applied MSE for the analysis of physiologic time series, for which we prefer to estimate entropy using the sample entropy ...

A construction of multiscale decompositions relative to domains Ω ⊂ Rd is given. Multiscale spaces are constructed on Ω which retain the important features of univariate multiresolution analysis including local polynomial reproduction and locally supported, stable bases.

This paper presents a method for analyzing time-series laboratory examination databases. The key concept of this method is classification of temporal patterns using multiscale structure matching and a rough set-based clustering method. Multiscale matching enables us to capture similarity between two sequences of examinations from both short-term and long-term points of view. The rough-set based...

In this paper, we propose a method for handwritten text characterization based on a multiscale and multiresolution drawing analysis. The approach lies on the definition of four complementary handwritten text visual dimensions: the macro and micro orientation (obtained with a frequencies multiscale image analysis), the text linearity (defined by the merge of connected components), the curvature ...

A multiscale method that couples direct simulation Monte Carlo (DSMC) method with Navier-Stokes equations is presented. The multiscale method is based on the Schwarz coupling of the DSMC and Navier-Stokes subdomains. Dirichlet boundary conditions are used at the coupling interfaces. The Navier-Stokes equations are solved using a scattered point based finite cloud method. Data interpolation betw...

The main objective of this paper is to develop a multiscale method for the static analysis of a nano-system, based on a combination of molecular mechanics and MLPG methods. The tangent-stiffness formulations are given for this multiscale method, as well as a pure molecular mechanics method. This method is also shown to naturally link the continuum local balance equation with molecular mechanics...

Multiscale phenomena are ubiquitous in nature as well in laboratories. A broad range of interacting space and time scales determines the dynamics of many systems which are inherently multiscale. In most research disciplines multiscale phenomena are not only prominent, but also they have often played the dominant role. In the solar wind magnetosphere interaction, multiscale features coexist alon...

Multiscale monitoring of autocorrelated processes using wavelets analysis Huairui Guo , Kamran Paynabar & Jionghua Jin To cite this article: Huairui Guo , Kamran Paynabar & Jionghua Jin (2012) Multiscale monitoring of autocorrelated processes using wavelets analysis, IIE Transactions, 44:4, 312-326, DOI: 10.1080/0740817X.2011.609872 To link to this article: http://dx.doi.org/10.1080/0740817X.20...

Measured data from most processes are inherently multiscale in nature owing to contributions from events occurring at different locations and with different localization in time and frequency. Consequently, data analysis and modeling methods that represent the measured variables at multiple scales are better suited for extracting information from measured data than methods that represent the va...

Multiscale systems engineering provides a way to integrate models of real-world phenomena that allows a holistic understanding of component interactions at different levels of scale simultaneously. The discipline draws upon information engineering to provide ontological representations that are derived from digital libraries of terms, themselves found at distributed locations around the world. ...