Archetypal Analysis
Archetypal analysis represents each individual in a data set as a mixture of individuals of pure type or archetypes. The archetypes themselves are restricted to being mixtures of the individuals in the data set. Archetypes are selected by minimizing the squared error in representing each individual...
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| Veröffentlicht in: | Technometrics 1994-11, Vol.36 (4), p.338-347 |
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| container_end_page | 347 |
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| container_issue | 4 |
| container_start_page | 338 |
| container_title | Technometrics |
| container_volume | 36 |
| creator | Cutler, Adele Breiman, Leo |
| description | Archetypal analysis represents each individual in a data set as a mixture of individuals of pure type or archetypes. The archetypes themselves are restricted to being mixtures of the individuals in the data set. Archetypes are selected by minimizing the squared error in representing each individual as a mixture of archetypes. The usefulness of archetypal analysis is illustrated on several data sets. Computing the archetypes is a nonlinear least squares problem, which is solved using an alternating minimizing algorithm. |
| doi_str_mv | 10.1080/00401706.1994.10485840 |
| format | Article |
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The archetypes themselves are restricted to being mixtures of the individuals in the data set. Archetypes are selected by minimizing the squared error in representing each individual as a mixture of archetypes. The usefulness of archetypal analysis is illustrated on several data sets. Computing the archetypes is a nonlinear least squares problem, which is solved using an alternating minimizing algorithm.</description><identifier>ISSN: 0040-1706</identifier><identifier>EISSN: 1537-2723</identifier><identifier>DOI: 10.1080/00401706.1994.10485840</identifier><identifier>CODEN: TCMTA2</identifier><language>eng</language><publisher>Alexandria, VI: Taylor & Francis Group</publisher><subject>Archetypes ; Convex hull ; Datasets ; Exact sciences and technology ; Graphics ; Least squares ; Local minimum ; Magnetic fields ; Mathematical methods in physics ; Mathematical minima ; Mathematical vectors ; Mathematics ; Multivariate analysis ; Nonlinear optimization ; Ozone ; Physics ; Plasma temperature ; Principal components ; Probability and statistics ; Probability theory, stochastic processes, and statistics ; Sciences and techniques of general use ; Statistics ; Tokamak devices</subject><ispartof>Technometrics, 1994-11, Vol.36 (4), p.338-347</ispartof><rights>Copyright Taylor & Francis Group, LLC 1994</rights><rights>Copyright 1994 The American Statistical Association and the American Society for Quality Control</rights><rights>1995 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c315t-b00dd05c9844905d08bf4ef51dcda58ce6fae9e53572a7d38029e7537023a0973</citedby><cites>FETCH-LOGICAL-c315t-b00dd05c9844905d08bf4ef51dcda58ce6fae9e53572a7d38029e7537023a0973</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/1269949$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/1269949$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,777,781,800,829,27905,27906,57998,58002,58231,58235</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=3449494$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Cutler, Adele</creatorcontrib><creatorcontrib>Breiman, Leo</creatorcontrib><title>Archetypal Analysis</title><title>Technometrics</title><description>Archetypal analysis represents each individual in a data set as a mixture of individuals of pure type or archetypes. 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Computing the archetypes is a nonlinear least squares problem, which is solved using an alternating minimizing algorithm.</description><subject>Archetypes</subject><subject>Convex hull</subject><subject>Datasets</subject><subject>Exact sciences and technology</subject><subject>Graphics</subject><subject>Least squares</subject><subject>Local minimum</subject><subject>Magnetic fields</subject><subject>Mathematical methods in physics</subject><subject>Mathematical minima</subject><subject>Mathematical vectors</subject><subject>Mathematics</subject><subject>Multivariate analysis</subject><subject>Nonlinear optimization</subject><subject>Ozone</subject><subject>Physics</subject><subject>Plasma temperature</subject><subject>Principal components</subject><subject>Probability and statistics</subject><subject>Probability theory, stochastic processes, and statistics</subject><subject>Sciences and techniques of general use</subject><subject>Statistics</subject><subject>Tokamak devices</subject><issn>0040-1706</issn><issn>1537-2723</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1994</creationdate><recordtype>article</recordtype><recordid>eNqFkM1LAzEQxYMoWKsn7-JBvG2dfG2S41KsCgUveg5pksUt6W5Ntsj-92Zpq95kDgPD7715PIRuMMwwSHgAYIAFlDOsFMsnJrlkcIImmFNREEHoKZqMUDFS5-gipTUApkSKCbquov3w_bA14bZqTRhSky7RWW1C8leHPUXvi8e3-XOxfH16mVfLwlLM-2IF4BxwqyRjCrgDuaqZrzl21hkurS9r45XnlAtihKMSiPIiZwJCDShBp-h-77uN3efOp15vmmR9CKb13S5pUnKKFbAMlnvQxi6l6Gu9jc3GxEFj0GMH-tiBHjvQxw6y8O7wwSRrQh1Na5v0o6Y5eJ5fbJ36Lv41JxSExqTMripj1R5r2rqLG_PVxeB0b4bQxaM1_SfRN8OweNU</recordid><startdate>19941101</startdate><enddate>19941101</enddate><creator>Cutler, Adele</creator><creator>Breiman, Leo</creator><general>Taylor & Francis Group</general><general>The American Society for Quality Control and The American Statistical Association</general><general>American Society for Quality Control</general><general>American Statistical Association</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>19941101</creationdate><title>Archetypal Analysis</title><author>Cutler, Adele ; Breiman, Leo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c315t-b00dd05c9844905d08bf4ef51dcda58ce6fae9e53572a7d38029e7537023a0973</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1994</creationdate><topic>Archetypes</topic><topic>Convex hull</topic><topic>Datasets</topic><topic>Exact sciences and technology</topic><topic>Graphics</topic><topic>Least squares</topic><topic>Local minimum</topic><topic>Magnetic fields</topic><topic>Mathematical methods in physics</topic><topic>Mathematical minima</topic><topic>Mathematical vectors</topic><topic>Mathematics</topic><topic>Multivariate analysis</topic><topic>Nonlinear optimization</topic><topic>Ozone</topic><topic>Physics</topic><topic>Plasma temperature</topic><topic>Principal components</topic><topic>Probability and statistics</topic><topic>Probability theory, stochastic processes, and statistics</topic><topic>Sciences and techniques of general use</topic><topic>Statistics</topic><topic>Tokamak devices</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Cutler, Adele</creatorcontrib><creatorcontrib>Breiman, Leo</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Technometrics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Cutler, Adele</au><au>Breiman, Leo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Archetypal Analysis</atitle><jtitle>Technometrics</jtitle><date>1994-11-01</date><risdate>1994</risdate><volume>36</volume><issue>4</issue><spage>338</spage><epage>347</epage><pages>338-347</pages><issn>0040-1706</issn><eissn>1537-2723</eissn><coden>TCMTA2</coden><abstract>Archetypal analysis represents each individual in a data set as a mixture of individuals of pure type or archetypes. 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| fulltext | fulltext |
| identifier | ISSN: 0040-1706 |
| ispartof | Technometrics, 1994-11, Vol.36 (4), p.338-347 |
| issn | 0040-1706 1537-2723 |
| language | eng |
| recordid | cdi_pascalfrancis_primary_3449494 |
| source | JSTOR Mathematics & Statistics; Jstor Complete Legacy |
| subjects | Archetypes Convex hull Datasets Exact sciences and technology Graphics Least squares Local minimum Magnetic fields Mathematical methods in physics Mathematical minima Mathematical vectors Mathematics Multivariate analysis Nonlinear optimization Ozone Physics Plasma temperature Principal components Probability and statistics Probability theory, stochastic processes, and statistics Sciences and techniques of general use Statistics Tokamak devices |
| title | Archetypal Analysis |
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