Mathematical foundations of computing最新文献_第3页

Study on the well-posedness of stochastic Boussinesq equations with Navier boundary conditions 具有Navier边界条件的随机Boussinesq方程的适定性研究

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023033

Chengfeng Sun, Shan Jiang, Hui Liu

引用次数: 0

Generalized interval AOR method for solving interval linear equations 求解区间线性方程的广义区间AOR方法

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023035

Jahnabi Chakravarty, M. Saha

引用次数: 0

Approximation by Durrmeyer variant of Cheney-Sharma Chlodovsky operators Cheney-Sharma Chlodovsky算子的Durrmeyer变式逼近

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022034

Chandra Prakash, D. K. Verma, N. Deo

引用次数: 0

Learning and approximating piecewise smooth functions by deep sigmoid neural networks 基于深度s型神经网络的分段光滑函数学习与逼近

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023039

Xia Liu

引用次数: 0

Autism spectrum disorder (ASD) classification with three types of correlations based on ABIDE Ⅰ data 基于ABIDEⅠ数据的自闭症谱系障碍(ASD)三种类型相关性分类

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023042

Donglin Wang, Xin Yang, Wandi Ding

{"title":"Autism spectrum disorder (ASD) classification with three types of correlations based on ABIDE Ⅰ data","authors":"Donglin Wang, Xin Yang, Wandi Ding","doi":"10.3934/mfc.2023042","DOIUrl":"https://doi.org/10.3934/mfc.2023042","url":null,"abstract":"Autism spectrum disorder (ASD) is a type of mental health disorder, and its prevalence worldwide is estimated at about one in 100 children. Accurate diagnosis of ASD as early as possible is very important for the treatment of patients in clinical applications. ABIDE Ⅰ dataset as a repository of ASD is used much for developing classifiers for ASD from typical controls. In this paper, we mainly consider three types of correlations including Pearson correlation, partial correlation, and tangent correlation together based on different numbers of regions of interest (ROIs) from only one atlas, and then twelve deep neural network models are used to train 884 subjects with 5, 10, 15, 20-fold cross-validation on two types of split methods including stratified and non-stratified methods. We first consider six metrics to compare the model performance among the split methods. The six metrics are F1-Score, precision, recall, accuracy, and specificity, area under the precision-recall curve (PRAUC), and area under the Receiver Characteristic Operator curve (ROCAUC). The study achieved the highest accuracy rate of 71.94% for 5-fold cross-validation, 72.64% for 10-fold cross-validation, 72.96% for 15-fold cross-validation, and 73.43% for 20-fold cross-validation.","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136367263","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

Convergence theorems in Orlicz and Bögel continuous functions spaces by means of Kantorovich discrete type sampling operators 用Kantorovich离散型抽样算子研究Orlicz和Bögel连续函数空间中的收敛定理

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022056

Serkan Ayan, N. Ispir

引用次数: 1

Adaptive attitude determination of bionic polarization integrated navigation system based on reinforcement learning strategy 基于强化学习策略的仿生极化组合导航系统自适应姿态确定

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022014

HuiYi Bao, Tao Du, Luyue Sun

{"title":"Adaptive attitude determination of bionic polarization integrated navigation system based on reinforcement learning strategy","authors":"HuiYi Bao, Tao Du, Luyue Sun","doi":"10.3934/mfc.2022014","DOIUrl":"https://doi.org/10.3934/mfc.2022014","url":null,"abstract":"The bionic polarization integrated navigation system includes three-axis gyroscopes, three-axis accelerometers, three-axis magnetometers, and polarization sensors, which provide pitch, roll, and yaw. When the magnetometers are interfered or the polarization sensors are obscured, the accuracy of attitude will be decreased due to abnormal measurement. To improve the accuracy of attitude of the integrated navigation system under these complex environments, an adaptive complementary filter based on DQN (Deep Q-learning Network) is proposed. The complementary filter is first designed to fuse the measurements from the gyroscopes, accelerometers, magnetometers, and polarization sensors. Then, a reward function of the bionic polarization integrated navigation system is defined as the function of the absolute value of the attitude angle error. The action-value function is introduced by a fully-connected network obtained by historical sensor data training. The strategy can be calculated by the deep Q-learning network and the action that optimal action-value function is obtained. Based on the optimized action, three types of integration are switched automatically to adapt to the different environments. Three cases of simulations are conducted to validate the effectiveness of the proposed algorithm. The results show that the adaptive attitude determination of bionic polarization integrated navigation system based on DQN can improve the accuracy of the attitude estimation.","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"96 1","pages":"161-177"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82211802","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: 2

Revisiting Mazur separable quotient problem (1932) 再论Mazur可分离商问题(1932)

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022063

M. López-Pellicer, S. López-Alfonso, S. Moll-López

引用次数: 0

Output feedback control of interval type-2 T-S fuzzy fractional order systems subject to actuator saturation 区间2型T-S模糊分数阶系统致动器饱和下的输出反馈控制

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023025

Taoqi Deng, Xuefeng Zhang, Zhe Wang

引用次数: 0

Starlike functions associated with $ tanh z $ and Bernardi integral operator 星形函数关联$ tanh z $和Bernardi积分算子

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022032

Pratima Rai, A. Çetinkaya, Sushil Kumar

引用次数: 1