首页 > 最新文献

Frontiers in Applied Mathematics and Statistics最新文献

英文 中文
Convergence analysis of particle swarm optimization algorithms for different constriction factors 不同收缩因子下粒子群优化算法的收敛性分析
Pub Date : 2024-02-14 DOI: 10.3389/fams.2024.1304268
Dereje Tarekegn Nigatu, Tekle Gemechu Dinka, Surafel Luleseged Tilahun
Particle swarm optimization (PSO) algorithm is an optimization technique with remarkable performance for problem solving. The convergence analysis of the method is still in research. This article proposes a mechanism for controlling the velocity by applying a method involving constriction factor in standard swarm optimization algorithm, that is called CSPSO. In addition, the mathematical CSPSO model with the time step attractor is presented to study the convergence condition and the corresponding stability. As a result, constriction standard particle swarm optimization that we consider has a higher potential to balance exploration and exploitation. To avoid the PSO premature convergence, CSPSO modifies all terms of the PSO velocity equation. We test the effectiveness of the CSPSO algorithm based on constriction coefficient with some benchmark functions and compare it with other basic PSO variant algorithms. The theoretical convergence and experimental analyses results are also demonstrated in tables and graphically.
粒子群优化(PSO)算法是一种优化技术,在解决问题方面具有显著的性能。该方法的收敛性分析仍在研究之中。本文提出了一种控制速度的机制,即在标准蜂群优化算法中应用一种涉及收缩因子的方法,称为 CSPSO。此外,还提出了具有时间步长吸引子的 CSPSO 数学模型,以研究收敛条件和相应的稳定性。因此,我们所考虑的收缩标准粒子群优化算法在平衡探索和开发方面具有更高的潜力。为了避免 PSO 过早收敛,CSPSO 修改了 PSO 速度方程的所有项。我们用一些基准函数测试了基于收缩系数的 CSPSO 算法的有效性,并将其与其他基本 PSO 变体算法进行了比较。我们还用表格和图形展示了理论收敛和实验分析结果。
{"title":"Convergence analysis of particle swarm optimization algorithms for different constriction factors","authors":"Dereje Tarekegn Nigatu, Tekle Gemechu Dinka, Surafel Luleseged Tilahun","doi":"10.3389/fams.2024.1304268","DOIUrl":"https://doi.org/10.3389/fams.2024.1304268","url":null,"abstract":"Particle swarm optimization (PSO) algorithm is an optimization technique with remarkable performance for problem solving. The convergence analysis of the method is still in research. This article proposes a mechanism for controlling the velocity by applying a method involving constriction factor in standard swarm optimization algorithm, that is called CSPSO. In addition, the mathematical CSPSO model with the time step attractor is presented to study the convergence condition and the corresponding stability. As a result, constriction standard particle swarm optimization that we consider has a higher potential to balance exploration and exploitation. To avoid the PSO premature convergence, CSPSO modifies all terms of the PSO velocity equation. We test the effectiveness of the CSPSO algorithm based on constriction coefficient with some benchmark functions and compare it with other basic PSO variant algorithms. The theoretical convergence and experimental analyses results are also demonstrated in tables and graphically.","PeriodicalId":507585,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139779497","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 analysis of particle swarm optimization algorithms for different constriction factors 不同收缩因子下粒子群优化算法的收敛性分析
Pub Date : 2024-02-14 DOI: 10.3389/fams.2024.1304268
Dereje Tarekegn Nigatu, Tekle Gemechu Dinka, Surafel Luleseged Tilahun
Particle swarm optimization (PSO) algorithm is an optimization technique with remarkable performance for problem solving. The convergence analysis of the method is still in research. This article proposes a mechanism for controlling the velocity by applying a method involving constriction factor in standard swarm optimization algorithm, that is called CSPSO. In addition, the mathematical CSPSO model with the time step attractor is presented to study the convergence condition and the corresponding stability. As a result, constriction standard particle swarm optimization that we consider has a higher potential to balance exploration and exploitation. To avoid the PSO premature convergence, CSPSO modifies all terms of the PSO velocity equation. We test the effectiveness of the CSPSO algorithm based on constriction coefficient with some benchmark functions and compare it with other basic PSO variant algorithms. The theoretical convergence and experimental analyses results are also demonstrated in tables and graphically.
粒子群优化(PSO)算法是一种优化技术,在解决问题方面具有显著的性能。该方法的收敛性分析仍在研究之中。本文提出了一种控制速度的机制,即在标准蜂群优化算法中应用一种涉及收缩因子的方法,称为 CSPSO。此外,还提出了具有时间步长吸引子的 CSPSO 数学模型,以研究收敛条件和相应的稳定性。因此,我们所考虑的收缩标准粒子群优化算法在平衡探索和开发方面具有更高的潜力。为了避免 PSO 过早收敛,CSPSO 修改了 PSO 速度方程的所有项。我们用一些基准函数测试了基于收缩系数的 CSPSO 算法的有效性,并将其与其他基本 PSO 变体算法进行了比较。我们还用表格和图形展示了理论收敛和实验分析结果。
{"title":"Convergence analysis of particle swarm optimization algorithms for different constriction factors","authors":"Dereje Tarekegn Nigatu, Tekle Gemechu Dinka, Surafel Luleseged Tilahun","doi":"10.3389/fams.2024.1304268","DOIUrl":"https://doi.org/10.3389/fams.2024.1304268","url":null,"abstract":"Particle swarm optimization (PSO) algorithm is an optimization technique with remarkable performance for problem solving. The convergence analysis of the method is still in research. This article proposes a mechanism for controlling the velocity by applying a method involving constriction factor in standard swarm optimization algorithm, that is called CSPSO. In addition, the mathematical CSPSO model with the time step attractor is presented to study the convergence condition and the corresponding stability. As a result, constriction standard particle swarm optimization that we consider has a higher potential to balance exploration and exploitation. To avoid the PSO premature convergence, CSPSO modifies all terms of the PSO velocity equation. We test the effectiveness of the CSPSO algorithm based on constriction coefficient with some benchmark functions and compare it with other basic PSO variant algorithms. The theoretical convergence and experimental analyses results are also demonstrated in tables and graphically.","PeriodicalId":507585,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139839373","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
Comparative analysis of machine learning algorithms for predicting Dubai property prices 预测迪拜房地产价格的机器学习算法比较分析
Pub Date : 2024-02-13 DOI: 10.3389/fams.2024.1327376
Abdulsalam Elnaeem Balila, A. Shabri
Predicting property prices is a crucial task in the real estate market, and machine learning algorithms offer valuable tools for accurate predictions. In this study, we introduce a comprehensive comparison of eight well-known machine learning algorithms, namely, ensemble empirical mode decomposition (EEMD)–stochastic (S) + deterministic (D)–support vector machine (EEMD-SD-SVM), support vector machine (SVM), gradient boosting, random forest, K-nearest neighbors (KNN), linear regression, artificial neural networks (ANN), and decision trees. The focus is on predicting property prices in Dubai, with the primary objective of assessing the predictive performance of these algorithms within this specific market context.The evaluation is based on four key performance metrics: R-squared (R2), mean squared error (MSE), root mean squared error (RMSE), and mean absolute percentage error (MAPE). These metrics provide insights into prediction errors, accuracy in percentage terms, and the proportion of variance in property prices explained by independent variables. The study compares the strengths and limitations of each algorithm for predicting property prices in Dubai, highlighting scenarios where certain algorithms excel based on the nature of decision boundaries, handling complex data, capturing localized patterns, and offering interpretability.Findings from the comparative analysis shed light on the performance of each algorithm in predicting property prices in Dubai. EEMD-SD-SVM and SVM excel in scenarios requiring precise decision boundaries, while gradient boosting and random forests demonstrate robust performance with complex and noisy property price data. KNN captures localized patterns effectively, linear regression is suitable for straightforward regression tasks, ANN excels with extensive datasets, and decision trees offer interpretability in understanding factors influencing property prices.The study emphasizes the significance of model tuning, feature selection, and data pre-processing to enhance predictive power. Additionally, practical aspects such as computational efficiency, model interpretability, and scalability in real-world applications are discussed. The comparative analysis provides valuable guidance for stakeholders, including real estate professionals, data scientists, and stakeholders interested in selecting the most suitable machine learning algorithm for predicting property prices in Dubai, with a focus on the essential evaluation metrics of MSE, RMSE, MAPE, and R2. This study offers insights into the applicability and performance of different machine learning algorithms for predicting property prices in Dubai. Stakeholders such as real estate agents, buyers, sellers, or investors can leverage these insights to make informed decisions in the Dubai real estate market.
预测房地产价格是房地产市场的一项重要任务,而机器学习算法为准确预测提供了宝贵的工具。在本研究中,我们全面比较了八种著名的机器学习算法,即集合经验模式分解(EEMD)-随机(S)+确定性(D)-支持向量机(EEMD-SD-SVM)、支持向量机(SVM)、梯度提升、随机森林、K-近邻(KNN)、线性回归、人工神经网络(ANN)和决策树。重点是预测迪拜的房地产价格,主要目的是评估这些算法在这一特定市场背景下的预测性能:评估基于四个关键性能指标:R 方 (R2)、均方误差 (MSE)、均方根误差 (RMSE) 和平均绝对百分比误差 (MAPE)。这些指标有助于深入了解预测误差、以百分比表示的准确性以及自变量解释的物业价格变异比例。本研究比较了每种算法在预测迪拜房地产价格方面的优势和局限性,并根据决策边界的性质、复杂数据的处理、局部模式的捕捉以及可解释性,强调了某些算法的优势所在。EEMD-SD-SVM 和 SVM 在需要精确决策边界的情况下表现出色,而梯度提升和随机森林在处理复杂和高噪声的房产价格数据时表现稳健。KNN 能有效捕捉局部模式,线性回归适用于简单的回归任务,ANN 在处理大量数据集时表现出色,而决策树在理解影响房地产价格的因素时具有可解释性。此外,还讨论了实际应用中的计算效率、模型可解释性和可扩展性等实际问题。比较分析为利益相关者提供了有价值的指导,包括房地产专业人士、数据科学家以及对选择最适合预测迪拜房地产价格的机器学习算法感兴趣的利益相关者,重点关注 MSE、RMSE、MAPE 和 R2 等基本评估指标。本研究深入探讨了不同机器学习算法在预测迪拜房地产价格方面的适用性和性能。房地产中介、买家、卖家或投资者等利益相关者可以利用这些见解,在迪拜房地产市场上做出明智的决策。
{"title":"Comparative analysis of machine learning algorithms for predicting Dubai property prices","authors":"Abdulsalam Elnaeem Balila, A. Shabri","doi":"10.3389/fams.2024.1327376","DOIUrl":"https://doi.org/10.3389/fams.2024.1327376","url":null,"abstract":"Predicting property prices is a crucial task in the real estate market, and machine learning algorithms offer valuable tools for accurate predictions. In this study, we introduce a comprehensive comparison of eight well-known machine learning algorithms, namely, ensemble empirical mode decomposition (EEMD)–stochastic (S) + deterministic (D)–support vector machine (EEMD-SD-SVM), support vector machine (SVM), gradient boosting, random forest, K-nearest neighbors (KNN), linear regression, artificial neural networks (ANN), and decision trees. The focus is on predicting property prices in Dubai, with the primary objective of assessing the predictive performance of these algorithms within this specific market context.The evaluation is based on four key performance metrics: R-squared (R2), mean squared error (MSE), root mean squared error (RMSE), and mean absolute percentage error (MAPE). These metrics provide insights into prediction errors, accuracy in percentage terms, and the proportion of variance in property prices explained by independent variables. The study compares the strengths and limitations of each algorithm for predicting property prices in Dubai, highlighting scenarios where certain algorithms excel based on the nature of decision boundaries, handling complex data, capturing localized patterns, and offering interpretability.Findings from the comparative analysis shed light on the performance of each algorithm in predicting property prices in Dubai. EEMD-SD-SVM and SVM excel in scenarios requiring precise decision boundaries, while gradient boosting and random forests demonstrate robust performance with complex and noisy property price data. KNN captures localized patterns effectively, linear regression is suitable for straightforward regression tasks, ANN excels with extensive datasets, and decision trees offer interpretability in understanding factors influencing property prices.The study emphasizes the significance of model tuning, feature selection, and data pre-processing to enhance predictive power. Additionally, practical aspects such as computational efficiency, model interpretability, and scalability in real-world applications are discussed. The comparative analysis provides valuable guidance for stakeholders, including real estate professionals, data scientists, and stakeholders interested in selecting the most suitable machine learning algorithm for predicting property prices in Dubai, with a focus on the essential evaluation metrics of MSE, RMSE, MAPE, and R2. This study offers insights into the applicability and performance of different machine learning algorithms for predicting property prices in Dubai. Stakeholders such as real estate agents, buyers, sellers, or investors can leverage these insights to make informed decisions in the Dubai real estate market.","PeriodicalId":507585,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139780477","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
Comparative analysis of machine learning algorithms for predicting Dubai property prices 预测迪拜房地产价格的机器学习算法比较分析
Pub Date : 2024-02-13 DOI: 10.3389/fams.2024.1327376
Abdulsalam Elnaeem Balila, A. Shabri
Predicting property prices is a crucial task in the real estate market, and machine learning algorithms offer valuable tools for accurate predictions. In this study, we introduce a comprehensive comparison of eight well-known machine learning algorithms, namely, ensemble empirical mode decomposition (EEMD)–stochastic (S) + deterministic (D)–support vector machine (EEMD-SD-SVM), support vector machine (SVM), gradient boosting, random forest, K-nearest neighbors (KNN), linear regression, artificial neural networks (ANN), and decision trees. The focus is on predicting property prices in Dubai, with the primary objective of assessing the predictive performance of these algorithms within this specific market context.The evaluation is based on four key performance metrics: R-squared (R2), mean squared error (MSE), root mean squared error (RMSE), and mean absolute percentage error (MAPE). These metrics provide insights into prediction errors, accuracy in percentage terms, and the proportion of variance in property prices explained by independent variables. The study compares the strengths and limitations of each algorithm for predicting property prices in Dubai, highlighting scenarios where certain algorithms excel based on the nature of decision boundaries, handling complex data, capturing localized patterns, and offering interpretability.Findings from the comparative analysis shed light on the performance of each algorithm in predicting property prices in Dubai. EEMD-SD-SVM and SVM excel in scenarios requiring precise decision boundaries, while gradient boosting and random forests demonstrate robust performance with complex and noisy property price data. KNN captures localized patterns effectively, linear regression is suitable for straightforward regression tasks, ANN excels with extensive datasets, and decision trees offer interpretability in understanding factors influencing property prices.The study emphasizes the significance of model tuning, feature selection, and data pre-processing to enhance predictive power. Additionally, practical aspects such as computational efficiency, model interpretability, and scalability in real-world applications are discussed. The comparative analysis provides valuable guidance for stakeholders, including real estate professionals, data scientists, and stakeholders interested in selecting the most suitable machine learning algorithm for predicting property prices in Dubai, with a focus on the essential evaluation metrics of MSE, RMSE, MAPE, and R2. This study offers insights into the applicability and performance of different machine learning algorithms for predicting property prices in Dubai. Stakeholders such as real estate agents, buyers, sellers, or investors can leverage these insights to make informed decisions in the Dubai real estate market.
预测房地产价格是房地产市场的一项重要任务,而机器学习算法为准确预测提供了宝贵的工具。在本研究中,我们全面比较了八种著名的机器学习算法,即集合经验模式分解(EEMD)-随机(S)+确定性(D)-支持向量机(EEMD-SD-SVM)、支持向量机(SVM)、梯度提升、随机森林、K-近邻(KNN)、线性回归、人工神经网络(ANN)和决策树。重点是预测迪拜的房地产价格,主要目的是评估这些算法在这一特定市场背景下的预测性能:评估基于四个关键性能指标:R 方 (R2)、均方误差 (MSE)、均方根误差 (RMSE) 和平均绝对百分比误差 (MAPE)。这些指标有助于深入了解预测误差、以百分比表示的准确性以及自变量解释的物业价格变异比例。本研究比较了每种算法在预测迪拜房地产价格方面的优势和局限性,并根据决策边界的性质、复杂数据的处理、局部模式的捕捉以及可解释性,强调了某些算法的优势所在。EEMD-SD-SVM 和 SVM 在需要精确决策边界的情况下表现出色,而梯度提升和随机森林在处理复杂和高噪声的房产价格数据时表现稳健。KNN 能有效捕捉局部模式,线性回归适用于简单的回归任务,ANN 在处理大量数据集时表现出色,而决策树在理解影响房地产价格的因素时具有可解释性。此外,还讨论了实际应用中的计算效率、模型可解释性和可扩展性等实际问题。比较分析为利益相关者提供了有价值的指导,包括房地产专业人士、数据科学家以及对选择最适合预测迪拜房地产价格的机器学习算法感兴趣的利益相关者,重点关注 MSE、RMSE、MAPE 和 R2 等基本评估指标。本研究深入探讨了不同机器学习算法在预测迪拜房地产价格方面的适用性和性能。房地产中介、买家、卖家或投资者等利益相关者可以利用这些见解,在迪拜房地产市场上做出明智的决策。
{"title":"Comparative analysis of machine learning algorithms for predicting Dubai property prices","authors":"Abdulsalam Elnaeem Balila, A. Shabri","doi":"10.3389/fams.2024.1327376","DOIUrl":"https://doi.org/10.3389/fams.2024.1327376","url":null,"abstract":"Predicting property prices is a crucial task in the real estate market, and machine learning algorithms offer valuable tools for accurate predictions. In this study, we introduce a comprehensive comparison of eight well-known machine learning algorithms, namely, ensemble empirical mode decomposition (EEMD)–stochastic (S) + deterministic (D)–support vector machine (EEMD-SD-SVM), support vector machine (SVM), gradient boosting, random forest, K-nearest neighbors (KNN), linear regression, artificial neural networks (ANN), and decision trees. The focus is on predicting property prices in Dubai, with the primary objective of assessing the predictive performance of these algorithms within this specific market context.The evaluation is based on four key performance metrics: R-squared (R2), mean squared error (MSE), root mean squared error (RMSE), and mean absolute percentage error (MAPE). These metrics provide insights into prediction errors, accuracy in percentage terms, and the proportion of variance in property prices explained by independent variables. The study compares the strengths and limitations of each algorithm for predicting property prices in Dubai, highlighting scenarios where certain algorithms excel based on the nature of decision boundaries, handling complex data, capturing localized patterns, and offering interpretability.Findings from the comparative analysis shed light on the performance of each algorithm in predicting property prices in Dubai. EEMD-SD-SVM and SVM excel in scenarios requiring precise decision boundaries, while gradient boosting and random forests demonstrate robust performance with complex and noisy property price data. KNN captures localized patterns effectively, linear regression is suitable for straightforward regression tasks, ANN excels with extensive datasets, and decision trees offer interpretability in understanding factors influencing property prices.The study emphasizes the significance of model tuning, feature selection, and data pre-processing to enhance predictive power. Additionally, practical aspects such as computational efficiency, model interpretability, and scalability in real-world applications are discussed. The comparative analysis provides valuable guidance for stakeholders, including real estate professionals, data scientists, and stakeholders interested in selecting the most suitable machine learning algorithm for predicting property prices in Dubai, with a focus on the essential evaluation metrics of MSE, RMSE, MAPE, and R2. This study offers insights into the applicability and performance of different machine learning algorithms for predicting property prices in Dubai. Stakeholders such as real estate agents, buyers, sellers, or investors can leverage these insights to make informed decisions in the Dubai real estate market.","PeriodicalId":507585,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139840409","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
Khalouta transform and applications to Caputo-fractional differential equations 卡鲁塔变换及其在卡普托微分方程中的应用
Pub Date : 2024-02-06 DOI: 10.3389/fams.2024.1351526
Nikita Kumawat, Akanksha Shukla, M. Mishra, Rahul Sharma, Ravi Shanker Dubey
The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both Riemann-Liouville and Caputo fractional derivative. We discuss some results and the existence of this integral transform. In addition, we also discuss the duality between Shehu transform and Khalouta transform. The numerical examples are provided to confirm the applicability and correctness of the proposed method for solving fractional differential equations.Primary 92B05, 92C60; Secondary 26A33.
本文旨在利用一种积分变换,特别是 Khalouta 变换(各种积分变换的抽象),来处理使用黎曼-刘维尔和卡普托分数导数的分数微分方程。我们讨论了这种积分变换的一些结果和存在性。此外,我们还讨论了 Shehu 变换和 Khalouta 变换之间的对偶性。我们提供了一些数值示例,以证实所提出的分数微分方程求解方法的适用性和正确性。
{"title":"Khalouta transform and applications to Caputo-fractional differential equations","authors":"Nikita Kumawat, Akanksha Shukla, M. Mishra, Rahul Sharma, Ravi Shanker Dubey","doi":"10.3389/fams.2024.1351526","DOIUrl":"https://doi.org/10.3389/fams.2024.1351526","url":null,"abstract":"The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both Riemann-Liouville and Caputo fractional derivative. We discuss some results and the existence of this integral transform. In addition, we also discuss the duality between Shehu transform and Khalouta transform. The numerical examples are provided to confirm the applicability and correctness of the proposed method for solving fractional differential equations.Primary 92B05, 92C60; Secondary 26A33.","PeriodicalId":507585,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139798395","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
Khalouta transform and applications to Caputo-fractional differential equations 卡鲁塔变换及其在卡普托微分方程中的应用
Pub Date : 2024-02-06 DOI: 10.3389/fams.2024.1351526
Nikita Kumawat, Akanksha Shukla, M. Mishra, Rahul Sharma, Ravi Shanker Dubey
The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both Riemann-Liouville and Caputo fractional derivative. We discuss some results and the existence of this integral transform. In addition, we also discuss the duality between Shehu transform and Khalouta transform. The numerical examples are provided to confirm the applicability and correctness of the proposed method for solving fractional differential equations.Primary 92B05, 92C60; Secondary 26A33.
本文旨在利用一种积分变换,特别是 Khalouta 变换(各种积分变换的抽象),来处理使用黎曼-刘维尔和卡普托分数导数的分数微分方程。我们讨论了这种积分变换的一些结果和存在性。此外,我们还讨论了 Shehu 变换和 Khalouta 变换之间的对偶性。我们提供了一些数值示例,以证实所提出的分数微分方程求解方法的适用性和正确性。
{"title":"Khalouta transform and applications to Caputo-fractional differential equations","authors":"Nikita Kumawat, Akanksha Shukla, M. Mishra, Rahul Sharma, Ravi Shanker Dubey","doi":"10.3389/fams.2024.1351526","DOIUrl":"https://doi.org/10.3389/fams.2024.1351526","url":null,"abstract":"The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both Riemann-Liouville and Caputo fractional derivative. We discuss some results and the existence of this integral transform. In addition, we also discuss the duality between Shehu transform and Khalouta transform. The numerical examples are provided to confirm the applicability and correctness of the proposed method for solving fractional differential equations.Primary 92B05, 92C60; Secondary 26A33.","PeriodicalId":507585,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139858505","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
Optimized repetitive sampling X-bar control chart: performance evaluation and comparison with Shewhart control chart 优化的重复采样 X 杆控制图:性能评估及与 Shewhart 控制图的比较
Pub Date : 2023-11-27 DOI: 10.3389/fams.2023.1285023
J. J. Muñoz, Muhammad Aslam, Manuel J. Campuzano
When initial sample information falls short of enabling industrial engineers to confidently make decisions about lot quality assessment, repetitive sampling emerges as a solution. In this study, we present an optimized repetitive sampling control chart for X-bar values. Through meticulous analysis, we determined the optimal control chart coefficients. Additionally, we established the control chart parameters for scenarios where the sample size equals the average sample number, encompassing both in-control and out-of-control processes. To underscore the effectiveness of our proposed chart compared to the traditional Shewhart control chart, we provide comprehensive tables across various sample sizes. By meticulously examining these tables alongside the corresponding control charts, the chart's efficacy in relation to the Shewhart alternative becomes evident.
当初始样本信息不足以让工业工程师对批量质量评估做出有把握的决策时,重复取样就成为了一种解决方案。在本研究中,我们提出了一种针对 X 柱值的优化重复抽样控制图。通过细致的分析,我们确定了最佳控制图系数。此外,我们还为样本量等于平均样本数的情况建立了控制图参数,包括控制内和控制外流程。为了强调我们提出的控制图与传统 Shewhart 控制图相比的有效性,我们提供了各种样本量的综合表格。通过仔细研究这些表格和相应的控制图,该控制图相对于 Shewhart 控制图的功效就显而易见了。
{"title":"Optimized repetitive sampling X-bar control chart: performance evaluation and comparison with Shewhart control chart","authors":"J. J. Muñoz, Muhammad Aslam, Manuel J. Campuzano","doi":"10.3389/fams.2023.1285023","DOIUrl":"https://doi.org/10.3389/fams.2023.1285023","url":null,"abstract":"When initial sample information falls short of enabling industrial engineers to confidently make decisions about lot quality assessment, repetitive sampling emerges as a solution. In this study, we present an optimized repetitive sampling control chart for X-bar values. Through meticulous analysis, we determined the optimal control chart coefficients. Additionally, we established the control chart parameters for scenarios where the sample size equals the average sample number, encompassing both in-control and out-of-control processes. To underscore the effectiveness of our proposed chart compared to the traditional Shewhart control chart, we provide comprehensive tables across various sample sizes. By meticulously examining these tables alongside the corresponding control charts, the chart's efficacy in relation to the Shewhart alternative becomes evident.","PeriodicalId":507585,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139235088","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
Mathematical modeling of cerebral oxygen transport from capillaries to tissue 从毛细血管到组织的脑氧运输数学建模
Pub Date : 2023-11-22 DOI: 10.3389/fams.2023.1257066
A. Kovtanyuk, A. Chebotarev, Reneé Lampe
A non-linear model of oxygen transport from a capillary to tissue is considered. The model takes into account the convection of oxygen in the blood, its diffusion transfer through the capillary wall, and the diffusion and consumption of oxygen in tissue. In the current work, a boundary value problem for the oxygen transport model is studied. The existence theorem is proved and a numerical algorithm is constructed and implemented. The numerical experiments studying the effect of low hematocrit and reduced blood flow rate on cerebral hypoxia in preterm infants are conducted.
该研究考虑了氧气从毛细血管向组织输送的非线性模型。该模型考虑了氧气在血液中的对流、通过毛细血管壁的扩散转移以及氧气在组织中的扩散和消耗。本文研究了氧输送模型的边界值问题。证明了存在定理,并构建和实现了一种数值算法。通过数值实验研究了低血细胞比容和降低血流量对早产儿脑缺氧的影响。
{"title":"Mathematical modeling of cerebral oxygen transport from capillaries to tissue","authors":"A. Kovtanyuk, A. Chebotarev, Reneé Lampe","doi":"10.3389/fams.2023.1257066","DOIUrl":"https://doi.org/10.3389/fams.2023.1257066","url":null,"abstract":"A non-linear model of oxygen transport from a capillary to tissue is considered. The model takes into account the convection of oxygen in the blood, its diffusion transfer through the capillary wall, and the diffusion and consumption of oxygen in tissue. In the current work, a boundary value problem for the oxygen transport model is studied. The existence theorem is proved and a numerical algorithm is constructed and implemented. The numerical experiments studying the effect of low hematocrit and reduced blood flow rate on cerebral hypoxia in preterm infants are conducted.","PeriodicalId":507585,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139248070","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
Deep learning models/techniques for COVID-19 detection: a survey 用于 COVID-19 检测的深度学习模型/技术:调查
Pub Date : 2023-11-17 DOI: 10.3389/fams.2023.1303714
Kumari Archana, Amandeep Kaur, Yonis Gulzar, Yasir Hamid, Mohammad Shuaib Mir, Arjumand Bano Soomro
The early detection and preliminary diagnosis of COVID-19 play a crucial role in effectively managing the pandemic. Radiographic images have emerged as valuable tool in achieving this objective. Deep learning techniques, a subset of artificial intelligence, have been extensively employed for the processing and analysis of these radiographic images. Notably, their ability to identify and detect patterns within radiographic images can be extended beyond COVID-19 and can be applied to recognize patterns associated with other pandemics or diseases. This paper seeks to provide an overview of the deep learning techniques developed for detection of corona-virus (COVID-19) based on radiological data (X-Ray and CT images). It also sheds some information on the methods utilized for feature extraction and data preprocessing in this field. The purpose of this study is to make it easier for researchers to comprehend various deep learning techniques that are used to detect COVID-19 and to introduce or ensemble those approaches to prevent the spread of corona virus in future.
COVID-19 的早期检测和初步诊断在有效控制该流行病方面发挥着至关重要的作用。放射影像已成为实现这一目标的重要工具。深度学习技术是人工智能的一个子集,已被广泛用于处理和分析这些放射影像。值得注意的是,深度学习技术识别和检测放射影像中模式的能力已超越 COVID-19,可用于识别与其他流行病或疾病相关的模式。本文旨在概述基于放射学数据(X 射线和 CT 图像)开发的用于检测电晕病毒(COVID-19)的深度学习技术。本文还介绍了该领域中用于特征提取和数据预处理的方法。本研究的目的是让研究人员更容易理解用于检测 COVID-19 的各种深度学习技术,并引入或整合这些方法,以防止未来电晕病毒的传播。
{"title":"Deep learning models/techniques for COVID-19 detection: a survey","authors":"Kumari Archana, Amandeep Kaur, Yonis Gulzar, Yasir Hamid, Mohammad Shuaib Mir, Arjumand Bano Soomro","doi":"10.3389/fams.2023.1303714","DOIUrl":"https://doi.org/10.3389/fams.2023.1303714","url":null,"abstract":"The early detection and preliminary diagnosis of COVID-19 play a crucial role in effectively managing the pandemic. Radiographic images have emerged as valuable tool in achieving this objective. Deep learning techniques, a subset of artificial intelligence, have been extensively employed for the processing and analysis of these radiographic images. Notably, their ability to identify and detect patterns within radiographic images can be extended beyond COVID-19 and can be applied to recognize patterns associated with other pandemics or diseases. This paper seeks to provide an overview of the deep learning techniques developed for detection of corona-virus (COVID-19) based on radiological data (X-Ray and CT images). It also sheds some information on the methods utilized for feature extraction and data preprocessing in this field. The purpose of this study is to make it easier for researchers to comprehend various deep learning techniques that are used to detect COVID-19 and to introduce or ensemble those approaches to prevent the spread of corona virus in future.","PeriodicalId":507585,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139264004","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
On the methodological framework of composite index under complex surveys and its application in development of food consumption index for India 论复杂调查下的综合指数方法框架及其在编制印度食品消费指数中的应用
Pub Date : 2023-11-17 DOI: 10.3389/fams.2023.1274530
Deepak Singh, Pradip Basak, Raju Kumar, Tauqueer Ahmad
Indices are created by consolidating multidimensional data into a single representative measure known as an index, using a fundamental mathematical model. Most present indices are essentially the averages or weighted averages of the variables under study, ignoring multicollinearity among the variables, with the exception of the existing Ordinary Least Squares (OLS) estimator based OLS-PCA index methodology. Many existing surveys adopt survey designs that incorporate survey weights, aiming to obtain a representative sample of the population while minimizing costs. Survey weights play a crucial role in addressing the unequal probabilities of selection inherent in complex survey designs, ensuring accurate and representative estimates of population parameters. However, the existing OLS-PCA based index methodology is designed for simple random sampling and is incapable of incorporating survey weights, leading to biased estimates and erroneous rankings that can result in flawed inferences and conclusions for survey data. To address this limitation, we propose a novel Survey Weighted PCA (SW-PCA) based Index methodology, tailored for survey-weighted data. SW-PCA incorporates survey weights, facilitating the development of unbiased and efficient composite indices, improving the quality and validity of survey-based research. Simulation studies demonstrate that the SW-PCA based index outperforms the OLS-PCA based index that neglects survey weights, indicating its higher efficiency. To validate the methodology, we applied it to a Household Consumer Expenditure Survey (HCES), NSS 68th Round survey data to construct a Food Consumption Index for different states of India. The result was significant improvements in state rankings when survey weights were considered. In conclusion, this study highlights the crucial importance of incorporating survey weights in index construction from complex survey data. The SW-PCA based Index provides a valuable solution, enhancing the accuracy and reliability of survey-based research, ultimately contributing to more informed decision-making.
指数是通过使用基本数学模型,将多维数据合并成一个具有代表性的衡量指标,即指数。目前大多数指数基本上是所研究变量的平均值或加权平均值,忽略了变量之间的多重共线性,但现有的基于普通最小二乘法(OLS)估计的 OLS-PCA 指数方法除外。现有的许多调查都采用了包含调查权重的调查设计,旨在获得具有代表性的人口样本,同时最大限度地降低成本。调查权重在解决复杂调查设计中固有的不平等选择概率方面发挥着至关重要的作用,可确保对人口参数进行准确且具有代表性的估计。然而,现有的基于 OLS-PCA 的指数方法是为简单随机抽样而设计的,无法纳入调查权重,从而导致估计值有偏差,排序错误,从而使调查数据的推论和结论存在缺陷。为解决这一局限性,我们提出了一种基于调查加权 PCA(SW-PCA)的新指数方法,专为调查加权数据定制。SW-PCA 融合了调查加权,有助于开发无偏且高效的综合指数,从而提高基于调查的研究的质量和有效性。模拟研究表明,基于 SW-PCA 的指数优于忽略调查权重的基于 OLS-PCA 的指数,表明其效率更高。为了验证该方法的有效性,我们将其应用于家庭消费支出调查(HCES)、国家统计系统第 68 轮调查数据,以构建印度不同邦的食品消费指数。结果显示,在考虑调查权重的情况下,各邦的排名有了明显改善。总之,本研究强调了在利用复杂的调查数据构建指数时纳入调查权重的重要性。基于 SW-PCA 的指数提供了一个有价值的解决方案,提高了基于调查研究的准确性和可靠性,最终有助于做出更明智的决策。
{"title":"On the methodological framework of composite index under complex surveys and its application in development of food consumption index for India","authors":"Deepak Singh, Pradip Basak, Raju Kumar, Tauqueer Ahmad","doi":"10.3389/fams.2023.1274530","DOIUrl":"https://doi.org/10.3389/fams.2023.1274530","url":null,"abstract":"Indices are created by consolidating multidimensional data into a single representative measure known as an index, using a fundamental mathematical model. Most present indices are essentially the averages or weighted averages of the variables under study, ignoring multicollinearity among the variables, with the exception of the existing Ordinary Least Squares (OLS) estimator based OLS-PCA index methodology. Many existing surveys adopt survey designs that incorporate survey weights, aiming to obtain a representative sample of the population while minimizing costs. Survey weights play a crucial role in addressing the unequal probabilities of selection inherent in complex survey designs, ensuring accurate and representative estimates of population parameters. However, the existing OLS-PCA based index methodology is designed for simple random sampling and is incapable of incorporating survey weights, leading to biased estimates and erroneous rankings that can result in flawed inferences and conclusions for survey data. To address this limitation, we propose a novel Survey Weighted PCA (SW-PCA) based Index methodology, tailored for survey-weighted data. SW-PCA incorporates survey weights, facilitating the development of unbiased and efficient composite indices, improving the quality and validity of survey-based research. Simulation studies demonstrate that the SW-PCA based index outperforms the OLS-PCA based index that neglects survey weights, indicating its higher efficiency. To validate the methodology, we applied it to a Household Consumer Expenditure Survey (HCES), NSS 68th Round survey data to construct a Food Consumption Index for different states of India. The result was significant improvements in state rankings when survey weights were considered. In conclusion, this study highlights the crucial importance of incorporating survey weights in index construction from complex survey data. The SW-PCA based Index provides a valuable solution, enhancing the accuracy and reliability of survey-based research, ultimately contributing to more informed decision-making.","PeriodicalId":507585,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139266033","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
期刊
Frontiers in Applied Mathematics and Statistics
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1