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MATHEMATICAL FOUNDATION OF A NEW complexity measure

Applied Mathematics and Mechanics(English Edition) 2005年第9期26卷 1188-1196页

作者：沈恩华蔡志杰顾凡及 School of Life Science Research Center for Brain Science Institute of Brain Science Fudan University Shanghai 200433 P.R.China School of Mathematical Sciences Research Center for Nonlinear Science Fudan University Shanghai 200433 P.R.China

For many continuous bio-medieal signals with both strong nonlinearity and non-stationarity, two criterions were proposed for their complexity estimation ：（1） Only a short data set is enough for robust estimation; （2） No over-coarse graining preproeessing, such as transferring the original signal into a binary time series, is needed. Co complexity measure proposed by us previously is one of such measures. However, it lacks the solid mathematical foundation and thus its use is limited. A modified version of this measure is proposed, and some important properties are proved rigorously. According to these properties, this measure can be considered as an index of randomness of time series in some senses, and thus also a quantitative index of complexity under the meaning of randomness finding complexity. Compared with other similar measures, this measure seems more suitable for estimating a large quantity of complexity measures for a given task, such as studying the dynamic variation of such measures in sliding windows of a long process, owing to its fast speed for estimation.

关键词： complexity measure randomness finding complexity C0 complexity

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Applying the Shearlet-Based complexity measure for Analyzing Mass Transfer in Continuous-Flow Microchannels

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Fluid Dynamics & Materials Processing 2024年第8期20卷 1743-1758页

作者： Elena Mosheva Ivan Krasnyakov Institute of Continuous Media Mechanics UB RAS Perm614013Russia Department of Applied Physics Perm National Research Polytechnic UniversityPerm614990Russia

Continuous-flow microchannels are widely employed for synthesizing various materials,including nanoparticles,polymers,and metal-organic frameworks(MOFs),to name a *** technology allows precise control over reaction parameters,resulting in purer,more uniform,and structurally stable products due to more effective mass transfer ***,continuous-flow synthesis processes may be accompanied by the emergence of spatial convective structures initiating convective *** the one hand,convection can accelerate reactions by intensifying mass *** the other hand,it may lead to non-uniformity in the final product or defects,especially in MOF microcrystal *** ability to distinguish regions of convective and diffusive mass transfer may be the key to performing higher-quality reactions and obtaining purer *** this study,we investigate,for the first time,the possibility of using the information complexity measure as a criterion for assessing the intensity of mass transfer in microchannels,considering both spatial and temporal non-uniformities of liquid’s distributions resulting from convection *** calculate the complexity using shearlet transform based on a local *** contrast to existing methods for calculating complexity,the shearlet transform based approach provides a more detailed representation of local *** analysis involves experimental images illustrating the mixing process of two non-reactive liquids in a Y-type continuous-flow microchannel under conditions of double-diffusive convection *** obtained complexity fields characterize the mixing process and structure formation,revealing variations in mass transfer intensity along the *** compare the results with cases of liquid mixing via a pure diffusive *** analysis,it was revealed that the complexity measure exhibits sensitivity to variations in the type of mass transfer,establishing its feasibility as an ind

关键词： Shearlet analysis complexity measure entropy measure convection microchannels double-diffusive instability

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Analysis of complexity measure of Air Traffic Flow at Terminal Area Based on Approximate Entropy

Analysis of Complexity Measure of Air Traffic Flow at Termin...

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4th International Conference on Modelling,Identification and Control(ICMIC 2012)

作者： Dong Bing is with School of Traffic and Transportation, Southwest Jiaotong University, Chengdu, Sichuan, 610031, China, he is also with Civil Aviation Flight University of China, Guang Han Sichuan. Du Wen is with School of Traffic and Transportation, Southwest Jiao tong University, Chengdu, Sichuan, 610031, China

In order to quantitatively describe the complexity of air traffic flow system at terminal area, the model of nonlinear dynamics, approximate entropy was introduced. The approximate entropy of two actual time series of air traffic flow at terminal area was calculated. The results show that air traffic flow at terminal area can be applied to effectively measure the randomicity and nonlinearity of a system and resolve the difficult problems of short sequence and comparability in depicting the complexity of a system. They are suitable to measure the complexity of the actual air traffic flow.

关键词： air traffic flow approximate entropy complexity measure terminal area

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Spectral entropy analysis of different alpha band rhythms in relation to hand motor imagery

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Journal of Pharmaceutical Analysis 2008年第3期20卷 202-205页

作者：裴晓梅郑崇勋李人厚 Institute of Biomedical Engineering School of Electronic and information Engineering Xi'an Jiaotong University

The event-related desynchronization/synchronization(ERD/ERS) time courses of lower and upper alpha band rhythms during hand motor imagery are investigated respectively by Fourier Sectral Entropy (FSE) in this paper. By analyzing one group of BCI competition data, it was found that FSE within upper alpha band displays a pronounced increase and decrease over contralateral and ipsilateral brain areas respectively at the onset of hand motor imagery, which is corresponding to the antagonistic ERD/ERS patterns in previous studies. Different from the upper alpha activity pattern, FSE within lower alpha band displays a consistent increase over both two hemispheres hand representative areas. The preliminary results show that FSE could disclose the different behaviors of the upper and lower alpha band rhythms so that a new idea with the complexity measure is provided to characterize functional dissociation of lower and upper frequency alpha rhythms in relation to hand motor imagery.

关键词： Fourier Spectral Entropy (FSE) event-related EEG dsychronization/sychronization (ERD/ERS) complexity measure hand motor imagery

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Video TFRC

Video TFRC

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2008 IEEE International Conference on Communications(ICC 2008)

作者： Evan Tan Sebastien Ardon Emmanuel Lochin University of New South Wales SydneyAustralia

TCP-friendly rate control （TFRC） is a congestion control technique that trade-offs responsiveness to the network conditions for a smoother throughput *** take advantage of this trade-off by calculating the rate gap between the theoretical TCP throughput and the smoothed TFRC *** rate gain from this rate gap is then opportunistically used for video *** define a frame complexity measure to determine the additional rate to be used from the rate gap and then perform a rate negotiation to determine the target rate for the encoder and the final sending *** show that although this method has a more aggressive sending rate compared to TFRC,it is still TCP- friendly,does not contribute too much to network congestion and achieves a reasonable video quality gain over the conventional method.

关键词： complexity measure congestion control cross-layer design H.264/AVC rate control TCP-friendly multimedia streaming

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