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Applied Mathematics and Sciences An International Journal (MathSJ)最新文献

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Optimization of Weight Function for (3+1)d Phonon Propagation in Weyl Fermion Sea Expressed by Clifford Algebra Using Elman Rnn and Echo State Network 利用埃尔曼 Rnn 和回声态网络，优化用克利福德代数表达的韦尔费米子海中 (3+1)d 光子传播的权重函数
Applied Mathematics and Sciences An International Journal (MathSJ) Pub Date : 2024-07-13 DOI: 10.5121/mathsj.2024.11301
S. Furui, Serge Dos Santos
{"title":"Optimization of Weight Function for (3+1)d Phonon Propagation in Weyl Fermion Sea Expressed by Clifford Algebra Using Elman Rnn and Echo State Network","authors":"S. Furui, Serge Dos Santos","doi":"10.5121/mathsj.2024.11301","DOIUrl":"https://doi.org/10.5121/mathsj.2024.11301","url":null,"abstract":"We modify the lattice simulation of (3+1)D Quantum Chromo Dynamics using fixed point actions by replacing Dirac fermions to Weyl fermions expressed by biquaternions. Paths of phonons are described by the weight function of eigenfunctions. The optimization is performed by using Elman Recurrent Neural Network and the Echo State Networks. Numerical results of the two optimizations are compared. We compare in lower dimensional systems the Time-Reversal based Nonlinear Elastic Wave Spectroscopy and the theory based on Quaternion Field Theory.","PeriodicalId":276601,"journal":{"name":"Applied Mathematics and Sciences An International Journal (MathSJ)","volume":" 48","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141833902","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: 0
OPTIMIZING SIMILARITY THRESHOLD FOR ABSTRACT SIMILARITY METRIC IN SPEECH DIARIZATION SYSTEMS: A MATHEMATICAL FORMULATION 语音化系统中抽象相似度度量的相似度阈值优化:一个数学公式
Applied Mathematics and Sciences An International Journal (MathSJ) Pub Date : 2023-06-26 DOI: 10.5121/mathsj.2023.10201
Jagat Chaitanya Prabhala, Venkatnareshbabu K, R. Ravi
{"title":"OPTIMIZING SIMILARITY THRESHOLD FOR ABSTRACT SIMILARITY METRIC IN SPEECH DIARIZATION SYSTEMS: A MATHEMATICAL FORMULATION","authors":"Jagat Chaitanya Prabhala, Venkatnareshbabu K, R. Ravi","doi":"10.5121/mathsj.2023.10201","DOIUrl":"https://doi.org/10.5121/mathsj.2023.10201","url":null,"abstract":"Speaker diarization is a critical task in speech processing that aims to identify \"who spoke when?\" in an audio or video recording that contains unknown amounts of speech from unknown speakers and unknown number of speakers. Diarization has numerous applications in speech recognition, speaker identification, and automatic captioning. Supervised and unsupervised algorithms are used to address speaker diarization problems, but providing exhaustive labeling for the training dataset can become costly in supervised learning, while accuracy can be compromised when using unsupervised approaches. This paper presents a novel approach to speaker diarization, which defines loosely labeled data and employs x-vector embedding and a formalized approach for threshold searching with a given abstract similarity metric to cluster temporal segments into unique user segments. The proposed algorithm uses concepts of graph theory, matrix algebra, and genetic algorithm to formulate and solve the optimization problem. Additionally, the algorithm is applied to English, Spanish, and Chinese audios, and the performance is evaluated using wellknown similarity metrics. The results demonstrate that the robustness of the proposed approach. The findings of this research have significant implications for speech processing, speaker identification including those with tonal differences. The proposed method offers a practical and efficient solution for speaker diarization in real-world scenarios where there are labeling time and cost constraints","PeriodicalId":276601,"journal":{"name":"Applied Mathematics and Sciences An International Journal (MathSJ)","volume":"135 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128100362","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: 0
Moving Target Detection Using CA, SO and GO-CFAR detectors in Nonhomogeneous Environment 基于CA、SO和GO-CFAR的非均匀环境下运动目标检测
Applied Mathematics and Sciences An International Journal (MathSJ) Pub Date : 2023-06-26 DOI: 10.5121/mathsj.2023.10202
Abdel Hamid Mbouombouo Mboungam, Zhi Yongfeng, Wilfried Andre Tiako Youani
{"title":"Moving Target Detection Using CA, SO and GO-CFAR detectors in Nonhomogeneous Environment","authors":"Abdel Hamid Mbouombouo Mboungam, Zhi Yongfeng, Wilfried Andre Tiako Youani","doi":"10.5121/mathsj.2023.10202","DOIUrl":"https://doi.org/10.5121/mathsj.2023.10202","url":null,"abstract":"Modernization of radar technology and improved signal processing techniques are necessary to improve detection systems in complex situations. A fundamental problem in radar systems is to automatically detect targets while maintaining a desired constant false alarm probability. This work studies two detection approaches, the first with a fixed threshold and the other with an adaptive one. In the latter, we have learned the three types of detectors CA, SO, and GO-CFAR. This research aims to apply intelligent techniques to improve detection performance in a nonhomogeneous environment using standard CFAR detectors. The objective is to maintain the false alarm probability and enhance target detection by combining intelligent techniques. With these objectives in mind, implementing standard CFAR detectors is applied to nonhomogeneous environment data. The primary focus is understanding the reason for the false detection when applying standard CFAR detectors in a nonhomogeneous environment and how to avoid it using intelligent approaches","PeriodicalId":276601,"journal":{"name":"Applied Mathematics and Sciences An International Journal (MathSJ)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128976908","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: 0
A Possible Resolution to Hilbert’s first Problem by Applying Cantor’s Diagonal Argument with Conditioned Subsets of R, With That of (N,R) 用(N,R)的条件子集与(N,R)的对角论证应用Cantor对角论证对Hilbert第一问题的可能解
Applied Mathematics and Sciences An International Journal (MathSJ) Pub Date : 2023-05-27 DOI: 10.5121/mathsj.2023.10203
Rajah Iyer
{"title":"A Possible Resolution to Hilbert’s first Problem by Applying Cantor’s Diagonal Argument with Conditioned Subsets of R, With That of (N,R)","authors":"Rajah Iyer","doi":"10.5121/mathsj.2023.10203","DOIUrl":"https://doi.org/10.5121/mathsj.2023.10203","url":null,"abstract":"We present herein a new approach to the Continuum hypothesis CH. We will employ a string conditioning, a technique that limits the range of a string over some of its sub-domains for forming subsets K of R. We will prove that these are well defined and in fact proper subsets of R by making use of Cantor’s Diagonal argument in its original form to establish the cardinality of K between that of (N,R) respectively","PeriodicalId":276601,"journal":{"name":"Applied Mathematics and Sciences An International Journal (MathSJ)","volume":"121 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131575840","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: 0
The Impact of Allee Effect on a Predator-Prey Model with Holling Type II Functional Response 狭道效应对Holling II型功能反应的捕食-食饵模型的影响
Applied Mathematics and Sciences An International Journal (MathSJ) Pub Date : 2023-05-27 DOI: 10.5121/mathsj.2023.10204
T. Al-Karkhi
{"title":"The Impact of Allee Effect on a Predator-Prey Model with Holling Type II Functional Response","authors":"T. Al-Karkhi","doi":"10.5121/mathsj.2023.10204","DOIUrl":"https://doi.org/10.5121/mathsj.2023.10204","url":null,"abstract":"There is currently much interest in predator–prey models across a variety of bioscientific disciplines. The focus is on quantifying predator–prey interactions, and this quantification is being formulated especially as regards climate change. In this article, a stability analysis is used to analyse the behaviour of a general two-species model with respect to the Allee effect (on the growth rate and nutrient limitation level of the prey population). We present a description of the local and non-local interaction stability of the model and detail the types of bifurcation which arise, proving that there is a Hopf bifurcation in the Allee effect module. A stable periodic oscillation was encountered which was due to the Allee effect on the prey species. As a result of this, the positive equilibrium of the model could change from stable to unstable and then back to stable, as the strength of the Allee effect (or the ‘handling’ time taken by predators when predating) increased continuously from zero. Hopf bifurcation has arose yield some complex patterns that have not been observed previously in predator-prey models, and these, at the same time, reflect long term behaviours. These findings have significant implications for ecological studies, not least with respect to examining the mobility of the two species involved in the non-local domain using Turing instability. A spiral generated by local interaction (reflecting the instability that forms even when an infinitely large carrying capacity is assumed) is used in the model.","PeriodicalId":276601,"journal":{"name":"Applied Mathematics and Sciences An International Journal (MathSJ)","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122451534","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: 0
A Probabilistic Algorithm for Computation of Polynomial Greatest Common with Smaller Factors 一种计算小因子多项式最大公项的概率算法
Applied Mathematics and Sciences An International Journal (MathSJ) Pub Date : 2022-09-30 DOI: 10.5121/mathsj.2022.9301
Yang Zhang, Xin Qian, Qidi You, Xuan Zhou, Xiyong Zhang, Yang Wang
{"title":"A Probabilistic Algorithm for Computation of Polynomial Greatest Common with Smaller Factors","authors":"Yang Zhang, Xin Qian, Qidi You, Xuan Zhou, Xiyong Zhang, Yang Wang","doi":"10.5121/mathsj.2022.9301","DOIUrl":"https://doi.org/10.5121/mathsj.2022.9301","url":null,"abstract":"In the earlier work, Knuth present an algorithm to decrease the coefficient growth in the Euclidean algorithm of polynomials called subresultant algorithm. However, the output polynomials may have a small factor which can be removed. Then later, Brown of Bell Telephone Laboratories showed the subresultant in another way by adding a variant called 𝜏 and gave a way to compute the variant. Nevertheless, the way failed to determine every𝜏 correctly. In this paper, we will give a probabilistic algorithm to determine the variant 𝜏 correctly in most cases by adding a few steps instead of computing 𝑡(𝑥) when given 𝑓(𝑥) and𝑔(𝑥) ∈ ℤ[𝑥], where 𝑡(𝑥) satisfies that 𝑠(𝑥)𝑓(𝑥) + 𝑡(𝑥)𝑔(𝑥) = 𝑟(𝑥), here 𝑡(𝑥), 𝑠(𝑥) ∈ ℤ[𝑥]","PeriodicalId":276601,"journal":{"name":"Applied Mathematics and Sciences An International Journal (MathSJ)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123786325","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: 0
Code of a Multidimensional Fractional Quasi-Newton Method with an Order of Convergence at Least Quadratic using Recursive Programming 一种收敛阶至少为二次的多维分数阶拟牛顿方法的递归编程
Applied Mathematics and Sciences An International Journal (MathSJ) Pub Date : 2022-03-31 DOI: 10.5121/mathsj.2022.9103
A. Torres-Hernandez
{"title":"Code of a Multidimensional Fractional Quasi-Newton Method with an Order of Convergence at Least Quadratic using Recursive Programming","authors":"A. Torres-Hernandez","doi":"10.5121/mathsj.2022.9103","DOIUrl":"https://doi.org/10.5121/mathsj.2022.9103","url":null,"abstract":"The following paper presents a way to define and classify a family of fractional iterative methods through a group of fractional matrix operators, as well as a code written in recursive programming to implement a variant of the fractional quasi-Newton method, which through minor modifications, can be implemented in any fractional fixed-point method that allows solving nonlinear algebraic equation systems","PeriodicalId":276601,"journal":{"name":"Applied Mathematics and Sciences An International Journal (MathSJ)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131445870","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: 3
A New Study To Find Out The Best Computational Method For Solving The Nonlinear Equation 寻找求解非线性方程最佳计算方法的新研究
Applied Mathematics and Sciences An International Journal (MathSJ) Pub Date : 2019-09-30 DOI: 10.5121/mathsj.2019.6302
Mir Md. Moheuddin, M. J. Uddin, Md. Kowsher
{"title":"A New Study To Find Out The Best Computational Method For Solving The Nonlinear Equation","authors":"Mir Md. Moheuddin, M. J. Uddin, Md. Kowsher","doi":"10.5121/mathsj.2019.6302","DOIUrl":"https://doi.org/10.5121/mathsj.2019.6302","url":null,"abstract":"","PeriodicalId":276601,"journal":{"name":"Applied Mathematics and Sciences An International Journal (MathSJ)","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129380112","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: 4
Fractional Newton-Raphson Method and Some Variants for the Solution of Nonlinear Systems 非线性系统解的分数阶Newton-Raphson方法及其变体
Applied Mathematics and Sciences An International Journal (MathSJ) Pub Date : 2019-08-05 DOI: 10.5121/mathsj.2020.7102
A. Torres-Hernandez, F. Brambila-Paz
{"title":"Fractional Newton-Raphson Method and Some Variants for the Solution of Nonlinear Systems","authors":"A. Torres-Hernandez, F. Brambila-Paz","doi":"10.5121/mathsj.2020.7102","DOIUrl":"https://doi.org/10.5121/mathsj.2020.7102","url":null,"abstract":"The following document presents some novel numerical methods valid for one and several variables, which using the fractional derivative, allow to find solutions for some non-linear systems in the complex space using real initial conditions. The origin of these methods is the fractional Newton-Raphson method but unlike the latter, the orders of fractional derivatives proposed here are functions. In the first method, a function is used to guarantee an order of convergence (at least) quadratic, and in the others, a function is used to avoid the discontinuity that is generated when the fractional derivative of the constants is used, and with this, it is possible that the methods have at most an order of convergence (at least) linear.","PeriodicalId":276601,"journal":{"name":"Applied Mathematics and Sciences An International Journal (MathSJ)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131339982","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: 20
Fractional Newton-Raphson Method 分数牛顿-拉夫森法
Applied Mathematics and Sciences An International Journal (MathSJ) Pub Date : 2017-10-22 DOI: 10.5121/mathsj.2021.8101
F. Paz, Torres Hernandez Anthony
{"title":"Fractional Newton-Raphson Method","authors":"F. Paz, Torres Hernandez Anthony","doi":"10.5121/mathsj.2021.8101","DOIUrl":"https://doi.org/10.5121/mathsj.2021.8101","url":null,"abstract":"The Newton-Raphson (N-R) method is useful to find the roots of a polynomial of degree n, with n ∈ N. However, this method is limited since it diverges for the case in which polynomials only have complex roots if a real initial condition is taken. In the present work, we explain an iterative method that is created using the fractional calculus, which we will call the Fractional Newton-Raphson (F N-R) Method, which has the ability to enter the space of complex numbers given a real initial condition, which allows us to find both the real and complex roots of a polynomial unlike the classical Newton-Raphson method.","PeriodicalId":276601,"journal":{"name":"Applied Mathematics and Sciences An International Journal (MathSJ)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128150504","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: 25
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