Proceedings of the 2022 5th International Conference on Mathematics and Statistics最新文献_第2页

Bayesian Approach for Comparing Parameter Estimation of Regression Model for Outlier Data 离群数据回归模型参数估计比较的贝叶斯方法

Proceedings of the 2022 5th International Conference on Mathematics and Statistics Pub Date : 2022-06-17 DOI: 10.1145/3545839.3545841

Autcha Araveeporn, K. Kumnungkit

{"title":"Bayesian Approach for Comparing Parameter Estimation of Regression Model for Outlier Data","authors":"Autcha Araveeporn, K. Kumnungkit","doi":"10.1145/3545839.3545841","DOIUrl":"https://doi.org/10.1145/3545839.3545841","url":null,"abstract":"This research compares and contrasts the simple regression model's parameter estimation methods, which consisted of a dependent variable and one independent variable. Parameter estimation uses the ordinary least square method, Bayesian method, Markov Chain Monte Carlo (MCMC) method, and local weight Markov Chain Monte Carlo (LWMCMC) method. The standard method is the ordinary least square method, which uses the concept of minimum sum square error to estimate parameters for fitting the linear regression model. However, for a set of the parameter relating to the Bayesian approach, the use of prior and posterior distributions may affect the approximation of the Bayesian, MCMC, LWMCMC methods. This paper considers the ordinal least square method and Bayesian approach by estimating the parameter for outlier data while some data points are far from other observations. The independent variable is simulated from the contaminated normal distribution, and the error is simulated from the normal distribution that made the outlier data on dependent and independent variables for the several sample sizes as 20, 50, 100, and 200. The criterion of the best efficiency is considered by the minimum of the average mean square errors. Through simulation data, the Bayesian method presents the minimum of average mean square errors at the sample sizes 20 and 50. However, when the sample size value increases, the MCMC and LWMCMC method are the best efficiency method at the sample sizes 100 and 200, respectively.","PeriodicalId":249161,"journal":{"name":"Proceedings of the 2022 5th International Conference on Mathematics and Statistics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121120745","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 Decentralized Collaborative Strategy for PTZ Camera Network Tracking System using Graph Learning: Assessing strategies for information sharing in a PTZ camera network for improving vehicle tracking, via agent-based simulations 使用图学习的PTZ摄像机网络跟踪系统的分散协作策略:通过基于代理的模拟，评估PTZ摄像机网络中用于改进车辆跟踪的信息共享策略

Proceedings of the 2022 5th International Conference on Mathematics and Statistics Pub Date : 2022-06-17 DOI: 10.1145/3545839.3545849

Shaik Masihullah, Subu Kandaswamy

{"title":"A Decentralized Collaborative Strategy for PTZ Camera Network Tracking System using Graph Learning: Assessing strategies for information sharing in a PTZ camera network for improving vehicle tracking, via agent-based simulations","authors":"Shaik Masihullah, Subu Kandaswamy","doi":"10.1145/3545839.3545849","DOIUrl":"https://doi.org/10.1145/3545839.3545849","url":null,"abstract":"In this paper, we propose a collaborative strategy for an autonomous PTZ (Pan Tilt Zoom) camera network, for improved target vehicle tracking, in real-world traffic. In addition, we explore ways to improve the target-tracking system to adapt itself to unexpected changes in traffic patterns. In the exploration phase, the camera nodes utilize the target identification information shared among themselves in the network to learn a graph. The vertices represent the camera nodes, while edges represent links to immediate neighbors, and edge weights represent the distance between the nodes in terms of the time taken by the target vehicles. In the exploitation phase, once a target vehicle is identified, the camera broadcasts the information to the neighbors. In turn, the neighbors consult the graph to position themselves better for capturing footage of the target vehicle. We carried out two agent-based simulation experiments to test the strategy. In the first experiment, we compare the proposed strategy, which uses the learned graph, to a baseline where the cameras operate independently for scanning traffic. In the second experiment, we compare the strategy to an improved adaptive version of itself, in which the system learns online continuously by observing live traffic. The results show that our cooperative camera network outperforms the baseline and the adaptive strategy outperforms the static one.","PeriodicalId":249161,"journal":{"name":"Proceedings of the 2022 5th International Conference on Mathematics and Statistics","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130857598","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

Convolving Hyper-Erlang with Hyper-Exponential Distributions Using Linear Algebra 用线性代数卷积超erlang与超指数分布

Proceedings of the 2022 5th International Conference on Mathematics and Statistics Pub Date : 2022-06-17 DOI: 10.1145/3545839.3545840

Clemens Neumüller, J. Robert, A. Heuberger

引用次数: 1

Pricing Model of Insurance Product for Autistic Persons 孤独症患者保险产品定价模型研究

Proceedings of the 2022 5th International Conference on Mathematics and Statistics Pub Date : 2022-06-17 DOI: 10.1145/3545839.3545851

Zhiheng Jiang, Jiahao Fan, Qiyi Wang

引用次数: 0

Risk Factors Associated with Hospital Unwarned Appointment Absenteeism: A logistic binary regression approach 与医院无预警预约缺勤相关的危险因素:logistic二元回归方法

Proceedings of the 2022 5th International Conference on Mathematics and Statistics Pub Date : 2022-06-17 DOI: 10.1145/3545839.3545848

Miguel Maia, A. Borges, Mariana Cavalho

{"title":"Risk Factors Associated with Hospital Unwarned Appointment Absenteeism: A logistic binary regression approach","authors":"Miguel Maia, A. Borges, Mariana Cavalho","doi":"10.1145/3545839.3545848","DOIUrl":"https://doi.org/10.1145/3545839.3545848","url":null,"abstract":"One of the main problems faced by health institutions is the unwarned absenteeism of patients in medical appointments. Patients’ no-shows, without prior notice, can result in loss of revenue for health centres and increasing waiting lines. Hence, there is a need to predict the non-attendance of patients to improve health institutions’ management performance. In this paper, a brief literature review was carried out to understand which factors can be related to patients’ absenteeism, and which forecasting methods are often applied to discover patterns in health datasets. As the logistic binary regression model has been proved to be effective on that matter, it was applied to a real hospital data set comprising information on 98.511 patients, with a corresponding 645.576 appointments, in a period between 2018 and 2020. Results indicate a significant effect on the chance of appointment attendance of patient age, patient gender, patient Marital Status, number of previous appointments, appointment month, precipitation levels, Lead time, and the number of previous no-show appointments.","PeriodicalId":249161,"journal":{"name":"Proceedings of the 2022 5th International Conference on Mathematics and Statistics","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114796141","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

Performance Improvement of Logistic Regression for Binary Classification by Gauss-Newton Method 高斯-牛顿方法对Logistic回归二分类性能的改进

Proceedings of the 2022 5th International Conference on Mathematics and Statistics Pub Date : 2022-06-17 DOI: 10.1145/3545839.3545842

M. Jamhuri, I. Mukhlash, M. I. Irawan

引用次数: 0

Stock price prediction based on PCA-LSTM model 基于PCA-LSTM模型的股票价格预测

Proceedings of the 2022 5th International Conference on Mathematics and Statistics Pub Date : 2022-06-17 DOI: 10.1145/3545839.3545852

Xinyuan Zheng, Naiping Xiong

引用次数: 1

Research on the Equation of the Magnetic Field Caused by Magnets 磁体磁场方程的研究

Proceedings of the 2022 5th International Conference on Mathematics and Statistics Pub Date : 2022-06-17 DOI: 10.1145/3545839.3545857

Jia Su, Qingfei Shu

引用次数: 0

A Comparative Study of HiCanu and Hifiasm HiCanu和Hifiasm的比较研究

Proceedings of the 2022 5th International Conference on Mathematics and Statistics Pub Date : 2022-06-17 DOI: 10.1145/3545839.3545855

Yuqiu Wang

引用次数: 0

A new proposal of power series method to solve the Navier-Stokes equations: application contexts and perspectives 幂级数法求解Navier-Stokes方程的一种新方法:应用背景与前景

Proceedings of the 2022 5th International Conference on Mathematics and Statistics Pub Date : 2022-06-17 DOI: 10.1145/3545839.3545844

P. Lecca, Angela Re

{"title":"A new proposal of power series method to solve the Navier-Stokes equations: application contexts and perspectives","authors":"P. Lecca, Angela Re","doi":"10.1145/3545839.3545844","DOIUrl":"https://doi.org/10.1145/3545839.3545844","url":null,"abstract":"In this work we investigate the possibility of expressing the solution of the Navier-Stokes equations as a power series. Although there have been many studies on this subject, it is still much debated. The existence of such a solution and its uniqueness are debated, especially in the general case of a non-stationary fluid in two or three dimensions. The greater the complexity of the fluid dynamical phenomenon under consideration, the more controversial and therefore uncertain are the deductions about the existence and uniqueness of the solution as a power series. Here, we ask some crucial questions on the matter and try to give an answer from the point of view of applied mathematics and numerical analysis. In particular, by way of example, we construct the Navier-Stokes equations for a compressible, multicomponent and non-stationary fluid from elementary principles of conservation of mass, momentum and energy, and we introduce a bump function model for the presence of different components and/or different phases in the fluid. The bump function is a function of space, time and physical characteristics of the components (and/or phases) such as density. We present a method to calculate it and discuss about its uniqueness. We show that under certain conditions on the bump function, and the forces acting on and in the fluid, the power series solution is unique. We finally discuss the advantages and the limitations of a solution in power series, concluding that, although plagued by limitations, it is a viable way forward even in highly complex case studies.","PeriodicalId":249161,"journal":{"name":"Proceedings of the 2022 5th International Conference on Mathematics and Statistics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114455114","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