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Proceedings of the 2020 3rd International Conference on Mathematics and Statistics最新文献

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Metrics for Multi-Set-Theoretic Graphs over Fixed Set of Vertices 固定顶点集上的多集论图的度量
Proceedings of the 2020 3rd International Conference on Mathematics and Statistics Pub Date : 2020-06-21 DOI: 10.1145/3409915.3409917
Ray-Ming Chen
{"title":"Metrics for Multi-Set-Theoretic Graphs over Fixed Set of Vertices","authors":"Ray-Ming Chen","doi":"10.1145/3409915.3409917","DOIUrl":"https://doi.org/10.1145/3409915.3409917","url":null,"abstract":"In this article, we show how to define distance functions for multi-edged graphs, either with vertices being labelled or unlabelled. These metrics are constructed mainly based on the minimal matching for multi-sets. In the end, we implement such metrics based on adjacent matrices. These metrics provide some important applications in the real world.","PeriodicalId":114746,"journal":{"name":"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133332156","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
Machine Learning versus Statistical Methods in Demand Planning for Energy-Efficient Supply Chains 节能供应链需求规划中的机器学习与统计方法
Proceedings of the 2020 3rd International Conference on Mathematics and Statistics Pub Date : 2020-06-21 DOI: 10.1145/3409915.3409923
Lucas Schreiber, N. Moroff
{"title":"Machine Learning versus Statistical Methods in Demand Planning for Energy-Efficient Supply Chains","authors":"Lucas Schreiber, N. Moroff","doi":"10.1145/3409915.3409923","DOIUrl":"https://doi.org/10.1145/3409915.3409923","url":null,"abstract":"The research project \"E2-Design\" intends to integrate energy efficiency as a planning parameter in the design of production and logistics networks. In order to achieve this objective, models and methods are developed that enable an appropriate approach in the strategic and tactical planning of supply chains. It was observed that models and methods for designing supply chains are always based on accurate demand forecasting. This is equally true for the design of supply chains with the core objective of energy efficiency. The better and more granular the demand forecast can be performed, the more valid recommendations for action can be provided to improve energy efficiency. To accomplish this, this paper aims at identifying promising models for the selection and implementation of a demand forecasting algorithm. By an initial comparison of statistical methods with machine learning methods, high potentials in the context of machine learning will be identified. Subsequently, several process models for implementing a suitable machine learning algorithm to improve forecasting quality are analyzed and the most suitable procedure will be extracted. In order to validate the individual process phases, the importance and presence of the individual phases will be analyzed with the help of a literature research and the need for further research in the area of the development of a standardized procedure will be formulated.","PeriodicalId":114746,"journal":{"name":"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133059335","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
A Linear Metric for Multivariate Discrete Finite Data Based on Data-derived Analytical Meshes 基于数据导出分析网格的多元离散有限数据线性度量
Proceedings of the 2020 3rd International Conference on Mathematics and Statistics Pub Date : 2020-06-21 DOI: 10.1145/3409915.3409924
Ray-Ming Chen
{"title":"A Linear Metric for Multivariate Discrete Finite Data Based on Data-derived Analytical Meshes","authors":"Ray-Ming Chen","doi":"10.1145/3409915.3409924","DOIUrl":"https://doi.org/10.1145/3409915.3409924","url":null,"abstract":"In this article, we show how to define a metric on a fixed interval I ⊆ R. This metric measures the degree of overlap of two groups of linear data. Then we extend this metric to multivariate discrete data via linearization of the data via the data-based analytical meshes, which is uniquely determined by the given data. We also demonstrate how to apply this metric. This metric is novel and could be applied further in dealing with high-dimension data and could also be used in the real world problems.","PeriodicalId":114746,"journal":{"name":"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114338197","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 Unified Proof for Finding a Minimal Spanning Tree 寻找最小生成树的一个统一证明
Proceedings of the 2020 3rd International Conference on Mathematics and Statistics Pub Date : 2020-06-21 DOI: 10.1145/3409915.3409925
Ray-Ming Chen
{"title":"A Unified Proof for Finding a Minimal Spanning Tree","authors":"Ray-Ming Chen","doi":"10.1145/3409915.3409925","DOIUrl":"https://doi.org/10.1145/3409915.3409925","url":null,"abstract":"Finding a minimal spanning tree (MST) has attracted a lot of researchers. There are many approaches and ways to find a MST of a network. In this article, we demonstrate a systematic approach based on natural induction over the set of nodes to reach a final MST. The approach is to label the given network and find a MST of it by growing trees based on the induction of labelled nodes.","PeriodicalId":114746,"journal":{"name":"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117106465","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
On the Construction of Multivariate Correlation Coefficients 关于多元相关系数的构造
Proceedings of the 2020 3rd International Conference on Mathematics and Statistics Pub Date : 2020-06-21 DOI: 10.1145/3409915.3409920
J. Merker, Gregor Schuldt
{"title":"On the Construction of Multivariate Correlation Coefficients","authors":"J. Merker, Gregor Schuldt","doi":"10.1145/3409915.3409920","DOIUrl":"https://doi.org/10.1145/3409915.3409920","url":null,"abstract":"A multivariate (un)correlation coefficient maps a vector-valued random variable X = (X1,... XN) to a real number between 0 and 1, which indicates how linearly (un)correlated its components Xi, i = 1,..., N, are. In this paper, we provide a unified framework for multivariate (un)correlation coefficients known in literature, and construct new multivariate (un)correlation coefficients using Rényi entropies, which allow applications in many scientific areas.","PeriodicalId":114746,"journal":{"name":"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics","volume":"136 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121821380","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
Nonlinear Measure of EEG Complexity in the Eker Rat model of Autism Disorder: a Pilot Study 自闭症大鼠Eker模型中脑电复杂性的非线性测量:一项初步研究
Proceedings of the 2020 3rd International Conference on Mathematics and Statistics Pub Date : 2020-06-21 DOI: 10.1145/3409915.3409927
Juliana A. Knocikova, Č. Vejmola, Ondřej Klovrza, T. Petrásek
{"title":"Nonlinear Measure of EEG Complexity in the Eker Rat model of Autism Disorder: a Pilot Study","authors":"Juliana A. Knocikova, Č. Vejmola, Ondřej Klovrza, T. Petrásek","doi":"10.1145/3409915.3409927","DOIUrl":"https://doi.org/10.1145/3409915.3409927","url":null,"abstract":"Tuberous Sclerosis Complex (TSC) is a severe pathological condition often accompanied by Autism Spectrum Disorder (ASD) and epilepsy. Recently, conclusions resulting from exploration of animal models suggested inhibition of mTOR to be a potential effective treatment. The EEG activity in Tsc2+/- (Eker) rat model has never been explored before. In this pilot study, we performed nonlinear EEG analysis to characterize its significant alterations resulting from treatment based on mTORi (inhibition of mammalian target of rapamycin), as well as from induction of developmental status epilepticus (DSE). Our results based of approximate entropy calculations confirmed that Everolimus (mTOR inhibitor) has a different influence on the regularity of EEG oscillations in wild-type and Tsc2+/- individuals. Moreover, we did not observe any alteration of EEG pattern complexity in adult rats with a history of DSE, and conclude that genotype (Tsc2+/-) and DSE state are probably influenced by different mechanisms of mTORi, with potential for clinical practice.","PeriodicalId":114746,"journal":{"name":"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics","volume":"11 12","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132984256","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
Two Inductive Approaches for Exact Wilcoxon Signed-rank Distributions without and with Ties 无和带关系的精确Wilcoxon有符号秩分布的两种归纳方法
Proceedings of the 2020 3rd International Conference on Mathematics and Statistics Pub Date : 2020-06-21 DOI: 10.1145/3409915.3409916
Ray-Ming Chen
{"title":"Two Inductive Approaches for Exact Wilcoxon Signed-rank Distributions without and with Ties","authors":"Ray-Ming Chen","doi":"10.1145/3409915.3409916","DOIUrl":"https://doi.org/10.1145/3409915.3409916","url":null,"abstract":"In this article, we forward two inductive approaches to compute Wilcoxon signed-rank distributions. We take both ties and no-ties into consideration. These methods have merits in easier computation via inductive shifting the distributions. We also give some comparisons between these two approaches.","PeriodicalId":114746,"journal":{"name":"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114724727","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 Knot Selection Algorithm for Splines in Logistic Regression 逻辑回归中样条曲线的结点选择算法
Proceedings of the 2020 3rd International Conference on Mathematics and Statistics Pub Date : 2020-06-21 DOI: 10.1145/3409915.3409921
Tzee-Ming Huang
{"title":"A Knot Selection Algorithm for Splines in Logistic Regression","authors":"Tzee-Ming Huang","doi":"10.1145/3409915.3409921","DOIUrl":"https://doi.org/10.1145/3409915.3409921","url":null,"abstract":"In ordinary logistic regression, the logit of the conditional probability of the response given the covariates is modelled as a linear function of the covariates. In this study, a more general logistic regression model is considered, where linearity is not assumed. Since the linear function of the covariates is replaced by a general function of the covariates, spline approximation is used. A knot selection algorithm is proposed to determine the knot locations in spline approximation. Simulation experiments have been carried out to check the performance of the proposed algorithm. The proposed algorithm performs reasonably well.","PeriodicalId":114746,"journal":{"name":"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130264336","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 Modelling for Circular Prey-Predator Model 圆形猎物-捕食者模型的数学建模
Proceedings of the 2020 3rd International Conference on Mathematics and Statistics Pub Date : 2020-06-21 DOI: 10.1145/3409915.3409926
Apurva Agarwal, Bianchi Sangma, Devasri Lal, S. Singh
{"title":"Mathematical Modelling for Circular Prey-Predator Model","authors":"Apurva Agarwal, Bianchi Sangma, Devasri Lal, S. Singh","doi":"10.1145/3409915.3409926","DOIUrl":"https://doi.org/10.1145/3409915.3409926","url":null,"abstract":"The objective of the paper is to explore a unique concept involving cyclical relationships between prey(s) and predator(s) wherein stakeholders in a dynamic ecosystem can harm one another. The paper intends to highlight the possibility of an organism to shoulder both roles- as a prey and a predator with respect to the same organism(s) and environment, hence forming a cyclical relationship between all stakeholders in a given prey-predator ecosystem. The mathematical model hence developed makes use of conventional models, namely the SIR Epidemic Model and Prey Predator Model to show how two different mathematical models can be used together to model a situation in a more realistic way and gain meaningful inferences from it. The above mentioned conventional models have been clubbed together using basic mathematical modelling tools involving compartmental diagrams, differential equation generator, ODE & PDE solver, stability analysis solver, etc. These inferences drawn from the new model give an insight to theoretical results to combat present and future epidemics and maintain a balance in food webs in an ecosystem. The paper presents mathematical models for special cases (i.e. 2-way and 3-way models) and sums up with a general model (i.e. n+1-way model) to form a basis for future research and development. This will enable researchers to deal with more complex and real time issues like pandemic outbreaks, extinction of species, destabilized ecological cycles etc.","PeriodicalId":114746,"journal":{"name":"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122389796","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
Assessing the Risk of Cancer Prevalence from Lifestyle Activities among Students in Bloemfontein, South Africa 南非布隆方丹学生的生活方式活动对癌症流行风险的评估
Proceedings of the 2020 3rd International Conference on Mathematics and Statistics Pub Date : 2020-06-21 DOI: 10.1145/3409915.3409922
G. Makanda, R. Sypkens, M. Makanda
{"title":"Assessing the Risk of Cancer Prevalence from Lifestyle Activities among Students in Bloemfontein, South Africa","authors":"G. Makanda, R. Sypkens, M. Makanda","doi":"10.1145/3409915.3409922","DOIUrl":"https://doi.org/10.1145/3409915.3409922","url":null,"abstract":"The prevalence of cancer and cardiovascular diseases has caused one of the highest death rates in the world. Research has shown that lifestyle is the major cause of cancers. Cancerous cells develop due what people eat and how they live their lives. This research investigates the risk of cancer occurrence in Bloemfontein in South Africa. The research was carried out by using a questionnaire developed by CANSA South Africa on this assessment. The questionnaire included various lifestyle questions. The data was then analyzed using SPSS and EvaSys (Automated Evaluation Software). The results show that most people do not eat healthy and thereby having a high risk of developing cancers.","PeriodicalId":114746,"journal":{"name":"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131337002","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
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