{"title":"Analysis of legendre polynomial kernel in support vector machines","authors":"Naima Djelloul, A. Amir","doi":"10.1504/ijcsm.2019.10025670","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.10025670","url":null,"abstract":"For several types of machines learning problems, the support vector machine is a method of choice. The kernel functions are a basic ingredient in support vector machine theory. Kernels based on the concepts of orthogonal polynomials gave the great satisfaction in practice. In this paper we identify the reproducing kernel Hilbert space of legendre polynomial kernel which allows us to understand its ability to extract more discriminative features. We also show that without being a universal kernel, legendre kernel possesses the same separation properties. The legendre, Gaussian and polynomial kernel performance has been first evaluated on two dimensional illustrative examples in order to give a graphical comparison, then on real world data sets from UCI repository. For nonlinearly separable data, legendre kernel always gives satisfaction regarding classification accuracy and reduction in the number of support vectors.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129989932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A study on spectral methods for linear and nonlinear fractional differential equations","authors":"M. Behroozifar, F. Ahmadpour","doi":"10.1504/ijcsm.2019.10025667","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.10025667","url":null,"abstract":"In this paper, a computational method based on the spectral methods with shifted Jacobi polynomials is applied for the numerical solution of the linear and nonlinear multi-order fractional differential equations. Fractional derivative is described in the Caputo sense. Operational matrix of fractional differential of shifted Jacobi polynomials is stated. This matrix together with the tau method and collocation method are utilised to reduce the linear and nonlinear fractional differential equations to a system of algebraic equations, respectively. The purpose of this paper is to make a comparison between this simple method and other existing methods to show the performance and preciseness of the presented method. Due to this, we used this technique for some illustrative numerical tests which the results demonstrate the validity and efficiency of the method.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"126 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124918535","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Khmer-Chinese bilingual LDA topic model based on dictionary","authors":"Xiaohui Liu, Xin Yan, Guangyi Xu, Zhengtao Yu, Guangshun Qin","doi":"10.1504/ijcsm.2019.10025672","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.10025672","url":null,"abstract":"Multilingual probabilistic topic models have been widely used in topic of mining area in multilingual documents, this paper proposes the Khmer-Chinese bilingual latent Dirichlet allocation (KCB-LDA) model based on the bilingual dictionary. With the bilingual attribute of entries in dictionary, this method first maps the words expressing same semantic meaning to the concept abstract layer, then group concepts into the same topic space. Finally, documents in different languages will share the same latent topics. The same topics can be represented in both Chinese and Khmer jointly when given a bilingual corpus by the introduction of the concept layer. The experimental results show that our topic modelling approach has better predictive power.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"159 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123102826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fuzzy reliability evaluation of linear m-consecutive weighted-k-out-of-r-from-n: F systems","authors":"Seema Negi, S. Singh","doi":"10.1504/ijcsm.2019.10025671","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.10025671","url":null,"abstract":"This paper deals with the introduction and study of fuzzy reliability measures of a linear m-consecutive weighted-k-out-of-r-from-n: F system. The paper provides an algorithm for the evaluation of fuzzy reliability of the proposed system based on application of universal generating function and fuzzy exponential distribution. It is assumed in the study that failure rate follows generalised symmetric trapezoidal fuzzy number in fuzzy exponential distribution. Further, generalised symmetric trapezoidal fuzzy number and its arithmetic operations are defined. Fuzzy mean time to failure and Brinbaum system fuzzy reliability importance is also calculated. A numerical example is also presented to illustrate the proposed approach.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129468512","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Motion image restoration based on sparse representation and guided filter","authors":"Hang Zuo, Liejun Wang","doi":"10.1504/ijcsm.2019.10025674","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.10025674","url":null,"abstract":"When moving objects are present, current low-resolution blurring image reconstruction techniques with considerable noise do not perform well. This paper comes up with a new image reconstruction method based on K-SVD algorithm and guided filter technique. This method uses K-SVD to pre-process the image first and apply canny boundary detector to obtain clear boundaries as prior model, thus we can estimate blurring kernel. Last, we apply guided filter to reconstruct our image. We do the second and third step iteration to obtain clear images. This paper uses simulated degeneration and actual low-resolution blurring image for experiments and our result implies this method has good performance for reconstruction.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134455087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yuriy Turbal, A. Bomba, Mariana Turbal, Anastasiia Sokh, Olena Radoveniuk
{"title":"Pyramidal method of extrapolation for short time series","authors":"Yuriy Turbal, A. Bomba, Mariana Turbal, Anastasiia Sokh, Olena Radoveniuk","doi":"10.1504/ijcsm.2019.10025669","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.10025669","url":null,"abstract":"The paper proposed a new method of short time series extrapolation, which can be used for predicting of economic, environmental and geophysical parameters. This method is based on the property of the rows of modified finite differences that the best cubic approximation is in the range of convexity. Numerical results show significant advantages of the proposed method in comparison with approaches to extrapolate, based on the use of polynomials, including Newton's extrapolation.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131202765","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Solving nonlinear system of second-order boundary value problems using a newly constructed scaling function","authors":"Yanan Liu","doi":"10.1504/ijcsm.2019.10025673","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.10025673","url":null,"abstract":"In this paper, a scaling function constructed by special filter coefficients is used for solving nonlinear system of second-order boundary value problems. The basis functions in interval originated from the newly constructed scaling function are directly used for function approximation. The Galerkin method and iteration approach are used for solution. Some numerical examples are presented to demonstrate the validity of the numerical technique. Numerical results prove that the new basis functions have good approximation ability and the present method is very efficient and highly accurate in solving nonlinear system of second-order boundary value problems.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133323535","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Meng-Rong Li, D. Miao, Tsung-Jui Chiang-Lin, Yong-Shiuan Lee
{"title":"Modelling DAX by applying parabola approximation method","authors":"Meng-Rong Li, D. Miao, Tsung-Jui Chiang-Lin, Yong-Shiuan Lee","doi":"10.1504/ijcsm.2019.10025668","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.10025668","url":null,"abstract":"Existing studies indicate that the nonlinear phenomenon occurs in the movement of stock prices (or returns) but few models provide the adequate explanations. We apply 'parabola approximation' as an inclusion of nonlinear explanatory variable to model German Deutscher Aktien IndeX (DAX) closing prices during 2 January 2006 to 12 June 2013. The empirical result shows accurate fits which means the model applied characterises DAX appropriately. As a result, the coefficients of the model meaningfully determine the movement of DAX. After examining the coefficients, unusual changes of the coefficients as a sign of approaching fluctuations in the DAX prices display right before the announcement of the bankruptcy of Lehman Brothers. In this way, we provide an instrument to detect the prompt structural changes and risks of the financial market.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125013378","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Equilibrium customers strategies in the Markovian working vacation queue with setup times","authors":"Huining Wang, Xiu-li Xu, Shuo Wang","doi":"10.1504/ijcsm.2019.103680","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.103680","url":null,"abstract":"In this paper, we research the customers' equilibrium behaviour in the single server Markovian queue with setup times and working vacation. In such an M/M/1 queueing system, the arriving customers' decision is whether to enter the system or balk based on the reward-cost structure, which includes their desire for service and their unwillingness to wait. We separately discuss the fully observable and fully unobservable cases. For each of case, we acquire the related equilibrium balking strategies of customers and the expected social benefits per time unit. Finally, we obtain some numerical examples to illustrate the effect of several parameters on the equilibrium and optimal strategy.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134093625","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Computational study of drug delivery in tumorous human airways","authors":"V. Srivastav, A. Paul, Anuj Jain","doi":"10.1504/ijcsm.2019.103676","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.103676","url":null,"abstract":"There is increasing interest in the research of direct drug delivery in respiratory tract because of its attractiveness to produce greater therapeutic benefits for the treatment of pulmonary diseases and systemic diseases. In the present study, airway respiratory model was constructed from CT scan images. A tumour was artificially created in the trachea of the respiratory model for the CFD simulation of the aerosol-particles transport and its deposition on the tumour. The CFD simulation was carried out for three air inhalation flow rates: 20, 40 and 60 L/min, and three particle sizes of 1, 5 and 10 µm to determine the effect of these parameters on the deposition efficiency of the particles on the tumour. The results show that the maximum aerosol deposition on the tumour occurs at 60 L/min inhalation rate for 5-10 µm aerosol-particles size. The findings will be useful to maximise therapeutic benefits of respiratory drug delivery.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133358347","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}