用于分类的持久性内核：比较研究

arXiv - MATH - Algebraic Topology Pub Date : 2024-08-09 DOI:arxiv-2408.07090

Cinzia Bandiziol, Stefano De Marchi

{"title":"用于分类的持久性内核：比较研究","authors":"Cinzia Bandiziol, Stefano De Marchi","doi":"arxiv-2408.07090","DOIUrl":null,"url":null,"abstract":"The aim of the present work is a comparative study of different persistence\nkernels applied to various classification problems. After some necessary\npreliminaries on homology and persistence diagrams, we introduce five different\nkernels that are then used to compare their performances of classification on\nvarious datasets. We also provide the Python codes for the reproducibility of\nresults.","PeriodicalId":501119,"journal":{"name":"arXiv - MATH - Algebraic Topology","volume":"42 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Persistence kernels for classification: A comparative study\",\"authors\":\"Cinzia Bandiziol, Stefano De Marchi\",\"doi\":\"arxiv-2408.07090\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of the present work is a comparative study of different persistence\\nkernels applied to various classification problems. After some necessary\\npreliminaries on homology and persistence diagrams, we introduce five different\\nkernels that are then used to compare their performances of classification on\\nvarious datasets. We also provide the Python codes for the reproducibility of\\nresults.\",\"PeriodicalId\":501119,\"journal\":{\"name\":\"arXiv - MATH - Algebraic Topology\",\"volume\":\"42 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Algebraic Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.07090\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Algebraic Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.07090","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

本研究的目的是对应用于各种分类问题的不同持久性内核进行比较研究。在对同源性和持久性图做了一些必要的介绍后，我们引入了五种不同的核，然后用来比较它们在不同数据集上的分类性能。我们还提供了 Python 代码，以保证结果的可重复性。

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

Persistence kernels for classification: A comparative study

The aim of the present work is a comparative study of different persistence kernels applied to various classification problems. After some necessary preliminaries on homology and persistence diagrams, we introduce five different kernels that are then used to compare their performances of classification on various datasets. We also provide the Python codes for the reproducibility of results.

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

arXiv - MATH - Algebraic Topology

自引率

0.00%

发文量