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":"基于数据导出分析网格的多元离散有限数据线性度量","authors":"Ray-Ming Chen","doi":"10.1145/3409915.3409924","DOIUrl":null,"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":0.0000,"publicationDate":"2020-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":null,\"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\":0.0000,\"publicationDate\":\"2020-06-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3409915.3409924\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3409915.3409924","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

在本文中，我们展示了如何在固定区间I≥r上定义一个度量。该度量度量两组线性数据的重叠程度。然后，我们通过基于数据的分析网格对数据进行线性化，将该度量扩展到多元离散数据，这是由给定数据唯一决定的。我们还演示了如何应用这个度量。这个度量是新颖的，可以进一步应用于处理高维数据，也可以用于现实世界的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A Linear Metric for Multivariate Discrete Finite Data Based on Data-derived Analytical Meshes

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

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

自引率

0.00%

发文量