{"id":45,"date":"2020-06-26T19:34:05","date_gmt":"2020-06-26T19:34:05","guid":{"rendered":"https:\/\/eic.cefet-rj.br\/~dal\/?page_id=45"},"modified":"2025-10-21T00:46:19","modified_gmt":"2025-10-21T00:46:19","slug":"stmotif","status":"publish","type":"post","link":"https:\/\/eic.cefet-rj.br\/~dal\/stmotif\/","title":{"rendered":"STMotif"},"content":{"rendered":"<header class=\"entry-header\">\n<blockquote>\n<p class=\"entry-title\"><strong><a title=\"Permalink to Spatial-Time Motifs Discovery\" href=\"https:\/\/eic.cefet-rj.br\/~eogasawara\/csa\/?lang=en\" rel=\"bookmark\">Spatial-Time Motifs Discovery<\/a><\/strong><\/p>\n<\/blockquote>\n<\/header>\n<div class=\"entry-content\">\n<div class=\"gmail_default\">\n<div class=\"gmail_default\" style=\"text-align: justify;\"><strong>Abstract<\/strong>: Discovering motifs in time series data has been widely explored. Various techniques have been developed to tackle this problem. However, when it comes to spatial-time series, a clear gap can be observed according to the literature review. This paper tackles such gap by presenting an approach to discover and rank motifs in spatial-time series, denominated Combined Series Approach (CSA). CSA is based on partitioning the spatial-time series into blocks. Inside each block, subsequences of spatial-time series are combined in a way that hash-based motif discovery algorithm is applied. Motifs are validated according to both temporal and spatial constraints. Later, motifs are ranked according to their entropy, the number of occurrences, and the proximity of their occurrences. The approach was evaluated using both synthetic and seismic datasets. CSA outperforms traditional methods designed only for time series. CSA was also able to prioritize motifs that were meaningful both in the context of synthetic data and also according to seismic specialists.<\/div>\n<\/div>\n<div><\/div>\n<blockquote>\n<div>Synthetic dataset:<\/div>\n<\/blockquote>\n<div><\/div>\n<div>An example with 12 spatial time series. Using a traditional approach only a single motif in ST3 is found.<\/div>\n<div>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"size-medium wp-image-1261 aligncenter\" src=\"https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/figure2-300x255.png\" sizes=\"(max-width: 300px) 100vw, 300px\" srcset=\"https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/figure2-300x255.png 300w, https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/figure2.png 750w\" alt=\"\" width=\"300\" height=\"255\" \/><\/p>\n<p>CSA approach creates some combined series from all the time series, which enables the motif discovery algorithm to discover candidate motifs that explore both spatial and time properties of the time series.<\/p>\n<div><img decoding=\"async\" class=\"size-medium wp-image-1263 aligncenter\" src=\"https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/figure4-300x180.png\" sizes=\"(max-width: 300px) 100vw, 300px\" srcset=\"https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/figure4-300x180.png 300w, https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/figure4.png 750w\" alt=\"\" width=\"300\" height=\"180\" \/><\/div>\n<p>The motifs discovered are mapped into the time series and checked if they are, in fact, spatial-time motifs.<\/p>\n<div>\n<p><img decoding=\"async\" class=\"size-medium wp-image-1264 aligncenter\" src=\"https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/figure5-300x255.png\" sizes=\"(max-width: 300px) 100vw, 300px\" srcset=\"https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/figure5-300x255.png 300w, https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/figure5.png 750w\" alt=\"\" width=\"300\" height=\"255\" \/><\/p>\n<blockquote>\n<div>Seismic dataset:<\/div>\n<\/blockquote>\n<\/div>\n<\/div>\n<div><\/div>\n<div>\n<div>\n<div>Top motifs discovered according to CSA ranking function.<\/div>\n<div><a href=\"https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/seismic-plotRank.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-1260 aligncenter\" src=\"https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/seismic-plotRank-300x225.png\" sizes=\"(max-width: 300px) 100vw, 300px\" srcset=\"https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/seismic-plotRank-300x225.png 300w, https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/seismic-plotRank.png 640w\" alt=\"\" width=\"300\" height=\"225\" \/><\/a><\/div>\n<div>Top motifs discovered according to the number of occurrences.<\/div>\n<div class=\"gmail_default\">\n<div><a href=\"https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/seismic-plotOccurrences.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-1259 aligncenter\" src=\"https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/seismic-plotOccurrences-300x225.png\" sizes=\"(max-width: 300px) 100vw, 300px\" srcset=\"https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/seismic-plotOccurrences-300x225.png 300w, https:\/\/eic.cefet-rj.br\/~eogasawara\/wp-content\/uploads\/2019\/05\/seismic-plotOccurrences.png 640w\" alt=\"\" width=\"300\" height=\"225\" \/><\/a><\/div>\n<\/div>\n<div><\/div>\n<div class=\"gmail_default\"><\/div>\n<div class=\"gmail_default\">\n<div>Available at CRAN:\u00a0\u00a0<a href=\"https:\/\/cran.r-project.org\/package=STMotif\" target=\"_blank\" rel=\"noopener noreferrer\" data-saferedirecturl=\"https:\/\/www.google.com\/url?q=https:\/\/CRAN.R-project.org\/package%3DSTMotif&amp;source=gmail&amp;ust=1552682119778000&amp;usg=AFQjCNFLg9fhpbIJ9-LfH-gsznZ2SkQA-w\">https:\/\/CRAN.R-project.org\/<wbr \/>package=STMotif<\/a><\/div>\n<div>Code repository at Git-Hub:\u00a0<a href=\"https:\/\/github.com\/eogasawara\/CSA\" target=\"_blank\" rel=\"noopener noreferrer\" data-saferedirecturl=\"https:\/\/www.google.com\/url?q=https:\/\/github.com\/eogasawara\/CSA&amp;source=gmail&amp;ust=1552682119778000&amp;usg=AFQjCNHiX6cIzIwigkqB9t9MBOKDIcM5Ww\">https:\/\/github.com\/eogasawara\/<wbr \/>CSA<\/a><\/div>\n<div><\/div>\n<\/div>\n<\/div>\n<div>\n<div class=\"gmail_default\"><strong>Authors<\/strong>: <a href=\"https:\/\/eic.cefet-rj.br\/~dal\/equipe\/hborges\/\">Heraldo Borges<\/a>,\u00a0Murillo Dutra,\u00a0 Rafaelli~Coutinho, F\u00e1bio Perosi, Amin Bazaz,\u00a0 Florent~Masseglia, Esther Pacitti, F\u00e1bio Porto, Eduardo Ogasawara<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div><\/div>\n<div>\n<div>Acknowledgments: The authors thank CAPES, CNPq, and FAPERJ for partially sponsoring this work.<\/div>\n<div><\/div>\n<\/div>\n<div class=\"entry-content\">\n<div>\n<div>\n<div><\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Spatial-Time Motifs Discovery Abstract: Discovering motifs in time series data has been widely explored. Various techniques have been developed to tackle this problem. However, when it comes to spatial-time series, a clear gap can be observed according to the literature review. This paper tackles such gap by presenting an approach to discover and rank motifs [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"class_list":["post-45","post","type-post","status-publish","format-standard","hentry","category-artefatos","entry"],"_links":{"self":[{"href":"https:\/\/eic.cefet-rj.br\/~dal\/wp-json\/wp\/v2\/posts\/45","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eic.cefet-rj.br\/~dal\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/eic.cefet-rj.br\/~dal\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/eic.cefet-rj.br\/~dal\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/eic.cefet-rj.br\/~dal\/wp-json\/wp\/v2\/comments?post=45"}],"version-history":[{"count":4,"href":"https:\/\/eic.cefet-rj.br\/~dal\/wp-json\/wp\/v2\/posts\/45\/revisions"}],"predecessor-version":[{"id":1791,"href":"https:\/\/eic.cefet-rj.br\/~dal\/wp-json\/wp\/v2\/posts\/45\/revisions\/1791"}],"wp:attachment":[{"href":"https:\/\/eic.cefet-rj.br\/~dal\/wp-json\/wp\/v2\/media?parent=45"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/eic.cefet-rj.br\/~dal\/wp-json\/wp\/v2\/categories?post=45"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/eic.cefet-rj.br\/~dal\/wp-json\/wp\/v2\/tags?post=45"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}