{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T23:58:49Z","timestamp":1740182329716,"version":"3.37.3"},"reference-count":43,"publisher":"IOP Publishing","issue":"4","license":[{"start":{"date-parts":[[2020,10,22]],"date-time":"2020-10-22T00:00:00Z","timestamp":1603324800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2020,10,22]],"date-time":"2020-10-22T00:00:00Z","timestamp":1603324800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"name":"Los Alamos National Laboratory Directed Research and Development","award":["20190020DR"],"award-info":[{"award-number":["20190020DR"]}]},{"name":"U.S. Department of Energy, Office of Science, Biological and Environmental Research","award":["Energy Exascale Earth System (E3SM) project"],"award-info":[{"award-number":["Energy Exascale Earth System (E3SM) project"]}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["Mach. Learn.: Sci. Technol."],"published-print":{"date-parts":[[2020,12,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>A tensor provides a concise way to codify the interdependence of complex data. Treating a tensor as a d-way array, each entry records the interaction between the different indices. Clustering provides a way to parse the complexity of the data into more readily understandable information. Clustering methods are heavily dependent on the algorithm of choice, as well as the chosen hyperparameters of the algorithm. However, their sensitivity to data scales is largely unknown.<\/jats:p>\n               <jats:p>In this work, we apply the discrete wavelet transform to analyze the effects of coarse-graining on clustering tensor data. We are particularly interested in understanding how scale affects clustering of the Earth\u2019s climate system. The discrete wavelet transform allows classification of the Earth\u2019s climate across a multitude of spatial-temporal scales. The discrete wavelet transform is used to produce an ensemble of classification estimates, as opposed to a single classification. Each element of the ensemble is a clustering at a different spatial-temporal scale. Information theoretic approaches are used to identify important scale lengths in clustering the L15 Climate Datset. We also discover a sub-collection of the ensemble that spans the majority of the variance observed, allowing for efficient consensus clustering techniques that can be used to identify climate biomes.<\/jats:p>","DOI":"10.1088\/2632-2153\/abb676","type":"journal-article","created":{"date-parts":[[2020,9,9]],"date-time":"2020-09-09T16:16:04Z","timestamp":1599668164000},"page":"045020","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Coarse-grain cluster analysis of tensors with application to climate biome identification"],"prefix":"10.1088","volume":"1","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7648-7343","authenticated-orcid":false,"given":"Derek","family":"DeSantis","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5971-4241","authenticated-orcid":false,"given":"Phillip J","family":"Wolfram","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2433-8607","authenticated-orcid":false,"given":"Katrina","family":"Bennett","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8636-4603","authenticated-orcid":false,"given":"Boian","family":"Alexandrov","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2020,10,22]]},"reference":[{"year":"2009","author":"Cichocki","key":"mlstabb676bib1"},{"key":"mlstabb676bib2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.95.042317","article-title":"Community detection, link prediction and layer interdependence in multilayer networks","volume":"95","author":"De Bacco","year":"2017","journal-title":"Phys. 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