Journal of Advances in Applied & Computational Mathematics最新文献_第2页

A Conjecture Congenetic with Fermat’s Last Theorem 与费马大定理同源的一个猜想

Journal of Advances in Applied & Computational Mathematics Pub Date : 2022-08-31 DOI: 10.15377/2409-5761.2022.09.9

Jun-Sheng Duan, Ji-Lian Wang

引用次数: 0

A Gentle Introduction to Physics-Informed Neural Networks, with Applications in Static Rod and Beam Problems 物理信息神经网络概论，及其在静态杆和梁问题中的应用

Journal of Advances in Applied & Computational Mathematics Pub Date : 2022-05-31 DOI: 10.15377/2409-5761.2022.09.8

Dimitrios Katsikis, A. Muradova, G. Stavroulakis

{"title":"A Gentle Introduction to Physics-Informed Neural Networks, with Applications in Static Rod and Beam Problems","authors":"Dimitrios Katsikis, A. Muradova, G. Stavroulakis","doi":"10.15377/2409-5761.2022.09.8","DOIUrl":"https://doi.org/10.15377/2409-5761.2022.09.8","url":null,"abstract":"A modern approach to solving mathematical models involving differential equations, the so-called Physics-Informed Neural Network (PINN), is based on the techniques which include the use of artificial neural networks and the method of fitting the governing differential equations at collocation points. In this paper, training of the PINN with an application of optimization techniques is performed on simple one-dimensional mechanical problems of elasticity, namely rods and beams. Different boundary conditions are considered.\u0000Required computer algorithms are implemented using Python programming packages with the intention of creating neural networks. Numerical results are presented, and the efficiency of the proposed technique is investigated through numerical experiments with different numbers of epochs, batches, hidden layers, neurons, and collocation points.\u0000The paper provides useful skills for using a PINN for different problems of solid mechanics. The proposed methodology is a continuation of our intention of using PINNs for problems of the theory of elasticity. The objectives are to present simply the main steps of constructing PINN and an implementation of it. A detailed explanation of the Python programming code, based on the scientific software Tensorflow, built in the Keras library and optimizers, may help compose an effective code for complicated models in mechanics.\u0000PINNs are proposed in many recent publications to solve complicated direct and inverse problems. It seems to be a promising method that will play a central role in the development of computational mechanics in the near future. Nevertheless, the lack of educational material does not help new users to enter this scientific area. The present contribution describes the method for the solution of elementary rod and beam problems and gives computer codes that may help the reader to understand the method and to apply it to other problems.","PeriodicalId":335387,"journal":{"name":"Journal of Advances in Applied & Computational Mathematics","volume":"249 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114552785","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: 5

Empirical Mode Decomposition and a Bidirectional LSTM Architecture Used to Decode Individual Finger MI-EEG Signals 基于经验模态分解和双向LSTM结构的手指MI-EEG信号解码

Journal of Advances in Applied & Computational Mathematics Pub Date : 2022-05-24 DOI: 10.15377/2409-5761.2022.09.3

Tat’y Mwata-Velu, J. Ruiz-Pinales, J. Aviña-Cervantes, J. González-Barbosa, J. Contreras-Hernandez

{"title":"Empirical Mode Decomposition and a Bidirectional LSTM Architecture Used to Decode Individual Finger MI-EEG Signals","authors":"Tat’y Mwata-Velu, J. Ruiz-Pinales, J. Aviña-Cervantes, J. González-Barbosa, J. Contreras-Hernandez","doi":"10.15377/2409-5761.2022.09.3","DOIUrl":"https://doi.org/10.15377/2409-5761.2022.09.3","url":null,"abstract":"Brain-Computer Interface (BCI) paradigms based on Motor Imagery Electroencephalogram (MI-EEG) signals have been developed because the related signals can be generated voluntarily to control further applications. Researches using strong and stout limbs MI-EEG signals reported performing significant classification rates for BCI applied systems. However, MI-EEG signals produced by imagined movements of small limbs present a real classification challenge to be effectively used in BCI systems. It is due to a reduced signal level and increased noisy distorted effects. This study aims to decode individual right-hand fingers’ imagined movements for BCI applications, using MI-EEG signals from C3, Cz, P3, and Pz channels. For this purpose, the Empirical Mode Decomposition (EMD) preprocesses the non-stationary and non-linear EEG signals to finally use a Bidirectional Long Short-Term Memory (BiLSTM) to classify corresponding feature sequences. An average accuracy of 98.8 % was achieved for ring-finger movements decoding using k-fold cross-validation on a public dataset (Scientific-Data). The obtained results support that the proposed framework can be used for BCI control applications.","PeriodicalId":335387,"journal":{"name":"Journal of Advances in Applied & Computational Mathematics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115589757","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: 1

Semantic Segmentation to Extract Coronary Arteries in Invasive Coronary Angiograms 有创冠状动脉造影中冠状动脉的语义分割

Journal of Advances in Applied & Computational Mathematics Pub Date : 2022-05-24 DOI: 10.15377/2409-5761.2022.09.6

Chen Zhao, Robert Bober, Haipeng Tang, Jinshan Tang, Minghao Dong, Chaoyang Zhang, Zhuo He, Michele Esposito, Zhihui Xu, Weihua Zhou

{"title":"Semantic Segmentation to Extract Coronary Arteries in Invasive Coronary Angiograms","authors":"Chen Zhao, Robert Bober, Haipeng Tang, Jinshan Tang, Minghao Dong, Chaoyang Zhang, Zhuo He, Michele Esposito, Zhihui Xu, Weihua Zhou","doi":"10.15377/2409-5761.2022.09.6","DOIUrl":"https://doi.org/10.15377/2409-5761.2022.09.6","url":null,"abstract":"Accurate semantic segmentation of each coronary artery using invasive coronary angiography (ICA) is important for stenosis assessment and coronary artery disease (CAD) diagnosis. In this paper, we propose a multi-step semantic segmentation algorithm based on analyzing arterial segments extracted from ICAs. The proposed algorithm firstly extracts the entire arterial binary mask (binary vascular tree) using a deep learning-based method. Then we extract the centerline of the binary vascular tree and separate it into different arterial segments. Finally, by extracting the underlying arterial topology, position, and pixel features, we construct a powerful coronary artery segment classifier based on a support vector machine. Each arterial segment is classified into the left coronary artery (LCA), left anterior descending (LAD), and other types of arterial segments. The proposed method was tested on a dataset with 225 ICAs and achieved a mean accuracy of 70.33% for the multi-class artery classification and a mean intersection over union of 0.6868 for semantic segmentation of arteries. The experimental results show the effectiveness of the proposed algorithm, which provides impressive performance for analyzing the individual arteries in ICAs.","PeriodicalId":335387,"journal":{"name":"Journal of Advances in Applied & Computational Mathematics","volume":"21 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120874369","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: 7

Adaptive Dynamic Programming and Its Application to Economic Dispatch in Microgrid: A Brief Overview 自适应动态规划及其在微电网经济调度中的应用综述

Journal of Advances in Applied & Computational Mathematics Pub Date : 2022-05-24 DOI: 10.15377/2409-5761.2022.09.2

Zitao Chen, Quanbin Deng, Kairui Chen

引用次数: 1

Evidence Theory based Uncertainty Design Optimization for Planetary Gearbox in Wind Turbine 基于证据理论的风力发电机行星齿轮箱不确定性设计优化

Journal of Advances in Applied & Computational Mathematics Pub Date : 2022-05-24 DOI: 10.15377/2409-5761.2022.09.7

S. Yang, Jiapeng Wang, Hengfei Yang

引用次数: 4

Attention Mechanisms Evaluated on Stenosis Detection using X-ray Angiography Images x线血管造影检查狭窄的注意机制评价

Journal of Advances in Applied & Computational Mathematics Pub Date : 2022-05-24 DOI: 10.15377/2409-5761.2022.09.5

Emmanuel Ovalle-Magallanes, Dora E. Alvarado-Carrillo, J. Aviña-Cervantes, I. Cruz-Aceves, J. Ruiz-Pinales, J. Contreras-Hernandez

引用次数: 1

Detection, Location and Quantification of Structural Faults in a Two-Story Building Using the Artificial Immunological System 基于人工免疫系统的两层建筑结构故障检测、定位与量化

Journal of Advances in Applied & Computational Mathematics Pub Date : 2022-05-24 DOI: 10.15377/2409-5761.2022.09.4

Thiago Carreta Moro, F. R. Chavarette, Roberto Outa, Igor Feliciano Merizio, Estevão Fuzaro Almeida

{"title":"Detection, Location and Quantification of Structural Faults in a Two-Story Building Using the Artificial Immunological System","authors":"Thiago Carreta Moro, F. R. Chavarette, Roberto Outa, Igor Feliciano Merizio, Estevão Fuzaro Almeida","doi":"10.15377/2409-5761.2022.09.4","DOIUrl":"https://doi.org/10.15377/2409-5761.2022.09.4","url":null,"abstract":"Large buildings and skyscrapers are vulnerable to environmental, temporal, and anthropological stresses, generating wear and tear that can lead to this social and economic impediment's collapse. The technological improvements of the fourth industrial revolution have resulted in changes in the connection between physical space and man, known as the cyber physic model, which necessitates monitoring systems to protect the structural branch and so correct this structural vulnerability. Thus, the structural health monitoring system is the exact measure of the evolution required by the cyber physic model in construction and the protection of the monumental buildings, ensuring not only their economic development but also the safety of society. Therefore, this research work presents the innovative proposal of the cyber-physical structural health monitoring system aimed at buildings and skyscrapers, based on and differentiated by intelligent computing techniques, using the negative selection algorithm to perform the analysis and monitoring of structural integrity, overcoming the existing traditional work. The cyber-physical structural health monitoring system will be applied to experimental data obtained from the shear building model that represents these imposing skyscrapers. An artificial immune system will be developed and used in the decision-making process based on the acquisition and processing of the obtained signals to perform the identification, localization, and quantification of possible structural damage. Observing the results, this work proved to be efficient, robust, and economically feasible, having high performance and overcoming the shortcomings of traditional techniques. It represents the perfect measure of cyber physics in the monitoring of large buildings and skyscrapers.","PeriodicalId":335387,"journal":{"name":"Journal of Advances in Applied & Computational Mathematics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127443833","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

Qualitative Analyses of ψ-Caputo Type Fractional Integrodifferential Equations in Banach Spaces Banach空间中ψ-Caputo型分数阶积分微分方程的定性分析

Journal of Advances in Applied & Computational Mathematics Pub Date : 2022-04-28 DOI: 10.15377/2409-5761.2022.09.1

Mohammed S Abdo

引用次数: 1

Vectorial Prabhakar Hardy Type Generalized Fractional Inequalities under Convexity 凸性下的向量Prabhakar Hardy型广义分数不等式

Journal of Advances in Applied & Computational Mathematics Pub Date : 2021-12-31 DOI: 10.15377/2409-5761.2021.08.4

G. Anastassiou

引用次数: 0

Journal of Advances in Applied &amp; Computational Mathematics最新文献

Journal of Advances in Applied & Computational Mathematics最新文献