Mathematical foundations of computing最新文献_第2页

Error analysis of kernel regularized pairwise learning with a strongly convex loss 具有强凸损失的核正则化成对学习的误差分析

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022030

Shuhua Wang, B. Sheng

引用次数: 3

Almost sure convergence for the maxima and minima of strongly dependent nonstationary multivariate Gaussian sequences 强相关非平稳多元高斯序列的极大值和极小值的几乎肯定收敛性

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022044

Zhicheng Chen, Hongyun Zhang, Xinsheng Liu

引用次数: 0

Prediction intervals of loan rate for mortgage data based on bootstrapping technique: A comparative study 基于自举技术的抵押贷款数据贷款利率预测区间的比较研究

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022027

Donglin Wang, Rencheng Sun, Lisa Green

引用次数: 1

Fuzzy approximation based on $ tau- mathfrak{K} $ fuzzy open (closed) sets 基于$ tau- mathfrak{K} $模糊开(闭)集的模糊逼近

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023010

Priti, A. Tripathi

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

Rate of convergence of Stancu type modified $ q $-Gamma operators for functions with derivatives of bounded variation 具有有界变分函数的Stancu型修正$ q $-Gamma算子的收敛速度

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022002

H. Karsli, P. Agrawal

{"title":"Rate of convergence of Stancu type modified $ q $-Gamma operators for functions with derivatives of bounded variation","authors":"H. Karsli, P. Agrawal","doi":"10.3934/mfc.2022002","DOIUrl":"https://doi.org/10.3934/mfc.2022002","url":null,"abstract":"<p style='text-indent:20px;'>Recently, Karsli [<xref ref-type=\"bibr\" rid=\"b15\">15</xref>] estimated the convergence rate of the <inline-formula><tex-math id=\"M2\">begin{document}$ q $end{document}</tex-math></inline-formula>-Bernstein-Durrmeyer operators for functions whose <inline-formula><tex-math id=\"M3\">begin{document}$ q $end{document}</tex-math></inline-formula>-derivatives are of bounded variation on the interval <inline-formula><tex-math id=\"M4\">begin{document}$ [0, 1] $end{document}</tex-math></inline-formula>. Inspired by this study, in the present paper we deal with the convergence rate of a <inline-formula><tex-math id=\"M5\">begin{document}$ q $end{document}</tex-math></inline-formula>- analogue of the Stancu type modified Gamma operators, defined by Karsli et al. [<xref ref-type=\"bibr\" rid=\"b17\">17</xref>], for the functions <inline-formula><tex-math id=\"M6\">begin{document}$ varphi $end{document}</tex-math></inline-formula> whose <inline-formula><tex-math id=\"M7\">begin{document}$ q $end{document}</tex-math></inline-formula>-derivatives are of bounded variation on the interval <inline-formula><tex-math id=\"M8\">begin{document}$ [0, infty ). $end{document}</tex-math></inline-formula> We present the approximation degree for the operator <inline-formula><tex-math id=\"M9\">begin{document}$ left( { mathfrak{S}}_{n, ell, q}^{(alpha , beta )} { varphi}right)(mathfrak{z}) $end{document}</tex-math></inline-formula> at those points <inline-formula><tex-math id=\"M10\">begin{document}$ mathfrak{z} $end{document}</tex-math></inline-formula> at which the one sided q-derivatives<inline-formula><tex-math id=\"M11\">begin{document}$ {D}_{q}^{+}{ varphi(mathfrak{z}); and; D} _{q}^{-}{ varphi(mathfrak{z})} $end{document}</tex-math></inline-formula> exist.</p>","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"21 1","pages":"601-615"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75357827","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

Lyapunov type inequalities for nonlinear fractional Hamiltonian systems in the frame of conformable derivatives 适形导数框架下非线性分数阶哈密顿系统的Lyapunov型不等式

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023004

Qi Zhang, J. Shao

引用次数: 0

A review of definitions of fractional differences and sums 分数差和定义的复习

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022013

Qiushuang Wang, R. Xu

引用次数: 3

Shape preserving properties of $ (mathfrak{p}, mathfrak{q}) $ Bernstein Bèzier curves and corresponding results over $ [a, b] $ $ (mathfrak{p}， mathfrak{q}) $ Bernstein b<e:1>曲线的保形性质及其在$ [a, b] $上的结果

Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022041

V. Sharma, Asif Khan, M. Mursaleen

引用次数: 0