International Journal of Applied Mathematics and Computer Sciences最新文献_第3页

Robust observer design for Sugeno systems with incremental quadratic nonlinearity in the consequent 带增量二次非线性的Sugeno系统鲁棒观测器设计

International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-12-01 DOI: 10.2478/amcs-2013-0053

H. Moodi, M. Farrokhi

引用次数: 19

Application of the partitioning method to specific Toeplitz matrices 分划方法在特定Toeplitz矩阵中的应用

International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-12-01 DOI: 10.2478/amcs-2013-0061

P. Stanimirović, M. Miladinovic, I. Stojanovic, S. Miljkovic

引用次数: 4

A method of constructing the frame of a directed graph 构造有向图框架的一种方法

International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-12-01 DOI: 10.2478/amcs-2013-0062

Ichiro Hofuku, K. Oshima

引用次数: 0

A verified method for solving piecewise smooth initial value problems 一种求解分段光滑初值问题的验证方法

International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-12-01 DOI: 10.2478/amcs-2013-0055

E. Auer, S. Kiel, A. Rauh

{"title":"A verified method for solving piecewise smooth initial value problems","authors":"E. Auer, S. Kiel, A. Rauh","doi":"10.2478/amcs-2013-0055","DOIUrl":"https://doi.org/10.2478/amcs-2013-0055","url":null,"abstract":"Abstract In many applications, there is a need to choose mathematical models that depend on non-smooth functions. The task of simulation becomes especially difficult if such functions appear on the right-hand side of an initial value problem. Moreover, solution processes from usual numerics are sensitive to roundoff errors so that verified analysis might be more useful if a guarantee of correctness is required or if the system model is influenced by uncertainty. In this paper, we provide a short overview of possibilities to formulate non-smooth problems and point out connections between the traditional non-smooth theory and interval analysis. Moreover, we summarize already existing verified methods for solving initial value problems with non-smooth (in fact, even not absolutely continuous) right-hand sides and propose a way of handling a certain practically relevant subclass of such systems. We implement the approach for the solver VALENCIA-IVP by introducing into it a specialized template for enclosing the first-order derivatives of non-smooth functions. We demonstrate the applicability of our technique using a mechanical system model with friction and hysteresis. We conclude the paper by giving a perspective on future research directions in this area.","PeriodicalId":253470,"journal":{"name":"International Journal of Applied Mathematics and Computer Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122231987","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}

引用次数: 8

A practical application of kernel-based fuzzy discriminant analysis 基于核的模糊判别分析的实际应用

International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-12-01 DOI: 10.2478/amcs-2013-0066

Jianqiang Gao, L. Fan, Li Li, Lizhong Xu

{"title":"A practical application of kernel-based fuzzy discriminant analysis","authors":"Jianqiang Gao, L. Fan, Li Li, Lizhong Xu","doi":"10.2478/amcs-2013-0066","DOIUrl":"https://doi.org/10.2478/amcs-2013-0066","url":null,"abstract":"Abstract A novel method for feature extraction and recognition called Kernel Fuzzy Discriminant Analysis (KFDA) is proposed in this paper to deal with recognition problems, e.g., for images. The KFDA method is obtained by combining the advantages of fuzzy methods and a kernel trick. Based on the orthogonal-triangular decomposition of a matrix and Singular Value Decomposition (SVD), two different variants, KFDA/QR and KFDA/SVD, of KFDA are obtained. In the proposed method, the membership degree is incorporated into the definition of between-class and within-class scatter matrices to get fuzzy between-class and within-class scatter matrices. The membership degree is obtained by combining the measures of features of samples data. In addition, the effects of employing different measures is investigated from a pure mathematical point of view, and the t-test statistical method is used for comparing the robustness of the learning algorithm. Experimental results on ORL and FERET face databases show that KFDA/QR and KFDA/SVD are more effective and feasible than Fuzzy Discriminant Analysis (FDA) and Kernel Discriminant Analysis (KDA) in terms of the mean correct recognition rate.","PeriodicalId":253470,"journal":{"name":"International Journal of Applied Mathematics and Computer Sciences","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121865297","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}

引用次数: 19

Learning the naive Bayes classifier with optimization models 学习朴素贝叶斯分类器的优化模型

International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-12-01 DOI: 10.2478/amcs-2013-0059

S. Taheri, M. Mammadov

{"title":"Learning the naive Bayes classifier with optimization models","authors":"S. Taheri, M. Mammadov","doi":"10.2478/amcs-2013-0059","DOIUrl":"https://doi.org/10.2478/amcs-2013-0059","url":null,"abstract":"Abstract Naive Bayes is among the simplest probabilistic classifiers. It often performs surprisingly well in many real world applications, despite the strong assumption that all features are conditionally independent given the class. In the learning process of this classifier with the known structure, class probabilities and conditional probabilities are calculated using training data, and then values of these probabilities are used to classify new observations. In this paper, we introduce three novel optimization models for the naive Bayes classifier where both class probabilities and conditional probabilities are considered as variables. The values of these variables are found by solving the corresponding optimization problems. Numerical experiments are conducted on several real world binary classification data sets, where continuous features are discretized by applying three different methods. The performances of these models are compared with the naive Bayes classifier, tree augmented naive Bayes, the SVM, C4.5 and the nearest neighbor classifier. The obtained results demonstrate that the proposed models can significantly improve the performance of the naive Bayes classifier, yet at the same time maintain its simple structure.","PeriodicalId":253470,"journal":{"name":"International Journal of Applied Mathematics and Computer Sciences","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132725469","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}

引用次数: 116

Comparison of speaker dependent and speaker independent emotion recognition 依赖说话人与独立说话人情绪识别的比较

International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-12-01 DOI: 10.2478/amcs-2013-0060

John S. Rybka, A. Janicki

{"title":"Comparison of speaker dependent and speaker independent emotion recognition","authors":"John S. Rybka, A. Janicki","doi":"10.2478/amcs-2013-0060","DOIUrl":"https://doi.org/10.2478/amcs-2013-0060","url":null,"abstract":"Abstract This paper describes a study of emotion recognition based on speech analysis. The introduction to the theory contains a review of emotion inventories used in various studies of emotion recognition as well as the speech corpora applied, methods of speech parametrization, and the most commonly employed classification algorithms. In the current study the EMO-DB speech corpus and three selected classifiers, the k-Nearest Neighbor (k-NN), the Artificial Neural Network (ANN) and Support Vector Machines (SVMs), were used in experiments. SVMs turned out to provide the best classification accuracy of 75.44% in the speaker dependent mode, that is, when speech samples from the same speaker were included in the training corpus. Various speaker dependent and speaker independent configurations were analyzed and compared. Emotion recognition in speaker dependent conditions usually yielded higher accuracy results than a similar but speaker independent configuration. The improvement was especially well observed if the base recognition ratio of a given speaker was low. Happiness and anger, as well as boredom and neutrality, proved to be the pairs of emotions most often confused.","PeriodicalId":253470,"journal":{"name":"International Journal of Applied Mathematics and Computer Sciences","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131021251","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}

引用次数: 30

Exact boundary controllability of coupled hyperbolic equations 耦合双曲型方程的精确边界可控性

International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-12-01 DOI: 10.2478/amcs-2013-0052

S. Avdonin, A. C. Rivero, L. Teresa

引用次数: 9

Cooperative driving at isolated intersections based on the optimal minimization of the maximum exit time 基于最大出口时间最优最小化的孤立交叉口协同驾驶

International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-12-01 DOI: 10.2478/amcs-2013-0058

Jia Wu, A. Abbas-Turki, Florent Perronnet

引用次数: 6

Using a graph grammar system in the finite element method 在有限元法中使用图语法系统

International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-12-01 DOI: 10.2478/amcs-2013-0063

B. Strug, A. Paszyńska, M. Paszyński, E. Grabska

引用次数: 16