Vector Curve Data Rapid Transmission over Internet Based on the Controlled Fractal Interpolation Model

2017 ◽  
Vol 11 (2) ◽  
pp. 202-209
Author(s):  
Jiang Baode ◽  
Chen Zhanlong
2006 ◽  
Vol 09 (03) ◽  
pp. 287-293 ◽  
Author(s):  
TONG ZHANG ◽  
JIANLIN LIU ◽  
ZHUO ZHUANG

Iterated Function System (IFS) models have been used to represent discrete sequences where the attractor of the IFS is piece-wise self-affine in R2 or R3 (R is the set of real numbers). In this paper, the piece-wise self-affine IFS model is extended from R3 to Rn (n is an integer greater than 3), which is called the multi-dimensional piece-wise self-affine fractal interpolation model. This model uses a "mapping partial derivative" and a constrained inverse algorithm to identify the model parameters. The model values depend continuously on all the model parameters, and represent most data which are not multi-dimensional self-affine in Rn. Therefore, the result is very general. Moreover, the multi-dimensional piece-wise self-affine fractal interpolation model in tensor form is more terse than in the usual matrix form.


2018 ◽  
Vol 22 (12) ◽  
pp. 5154-5163 ◽  
Author(s):  
Caiwei Liu ◽  
Chaofeng Liu ◽  
Wenlong Xu ◽  
Xiaobo Zhang ◽  
Yue Lan

Fractals ◽  
2019 ◽  
Vol 27 (04) ◽  
pp. 1950055 ◽  
Author(s):  
HONG-YONG WANG ◽  
HONG LI ◽  
JIN-YE SHEN

Forecasting stock price indexes has been regarded as a challenging task in financial time series analysis. In order to improve the prediction accuracy, a novel hybrid model that integrates fractal interpolation with support vector machine (SVM) models has been developed in this paper to forecast the time series of stock price indexes. For this, a new method to calculate the vertical scaling factors of the fractal interpolation iterated function system is first proposed and an improved fractal interpolation model is then established. The improved fractal interpolation model and the SVM model are integrated to predict the every 5-min high frequency index data of Shanghai Composite Index. The experimental results show that the hybrid model is suitable for forecasting the stock index time series with fractal characteristics. In addition, a comparison of the prediction accuracy is carried out among the hybrid model and other three commonly used models. The results show that the prediction performance of the hybrid model is superior to that of other three models.


2007 ◽  
Vol 52 (1-2) ◽  
pp. 83-87 ◽  
Author(s):  
Tong Zhang ◽  
Jian Lin Liu ◽  
Zhuo Zhuang

2006 ◽  
Vol 09 (01n02) ◽  
pp. 133-146
Author(s):  
TONG ZHANG ◽  
ZHUO ZHUANG

Iterated function system (IFS) models have been explored to represent discrete sequences where the attractor of an IFS is self-affine either in R2 or R3 (R is the set of real numbers). In this paper, the self-affine IFS model is extended from R3 to Rn (n is an integer and greater than 3), which is called the multi-dimensional self-affine fractal interpolation model. This new model is presented by introducing the defined parameter "mapping partial derivative." A constrained inverse algorithm is given for the identification of the model parameters. The values of new model depend continuously on all of the variables. That is, the function is determined by the coefficients of the possibly multi-dimensional affine maps. So the new model is presented as much more general and significant.


2013 ◽  
Vol 33 (2) ◽  
pp. 519-521
Author(s):  
Jidong WANG ◽  
Ruibin ZHAO ◽  
Mingyong PANG

2021 ◽  
Vol 45 (1) ◽  
Author(s):  
Padmalochan Hembram

Abstract Background Coronavirus disease 19 is a viral infection caused by a novel coronavirus, SARS-CoV-2. It was first notified in Wuhan, China, is now spread into numerous part of the world. Thus, the world needs urgent support and encouragement to develop a vaccine or antiviral treatments to combat the atrocious outbreak. Main body of the abstract The origin of this virus is yet unknown; however, rapid transmission from human-to-human “Anthroponosis” has widely confirmed. The world is witnessing a continuous hike in SARS-CoV-2 infection. In light of the outbreak of coronavirus disease 19, we have aimed to highlight the basic and vital information about the novel coronavirus. We provide an overview of SARS-CoV-2 transmission, timeline and its pathophysiological properties which would be an aid for the development of therapeutic molecules and antiviral drugs. Immune system plays a crucial role in virus infection in order to control but may have dark side when becomes uncontrollable. The host and SARS-CoV-2 interaction describe how the virus exploits host machinery and how overactive host immune response can cause disease severity also addressed in this review. Short conclusion Safe and effective vaccines may be the game-changing tools, but in the near future wearing mask, washing hands at regular intervals, avoiding crowed, maintaining physical distancing and hygienic surrounding, must be good practices to reduce and break the transmission chain. Still, research is ongoing not only on how vaccines protect against disease, but also against infection and transmission.


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