{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,29]],"date-time":"2024-02-29T10:43:46Z","timestamp":1709203426027},"reference-count":8,"publisher":"University of Zielona G\u00f3ra, Poland","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2007,3,1]]},"abstract":"<jats:title>Data Probes, Vertical Trajectories and Classification: A Tentative Study<\/jats:title><jats:p>In this paper we introduce a method of classification based on data probes. Data points are considered as point masses in space and a probe is simply a particle that is launched into the space. As the probe passes by data clusters, its trajectory will be influenced by the point masses. We use this information to help us to find vertical trajectories. These are trajectories in the input space that are mapped onto the same value in the output space and correspond to the data classes.<\/jats:p>","DOI":"10.2478\/v10006-007-0010-7","type":"journal-article","created":{"date-parts":[[2007,4,11]],"date-time":"2007-04-11T22:05:46Z","timestamp":1176329146000},"page":"107-112","source":"Crossref","is-referenced-by-count":0,"title":["Data Probes, Vertical Trajectories and Classification: A Tentative Study"],"prefix":"10.61822","volume":"17","author":[{"given":"David","family":"Pearson","sequence":"first","affiliation":[]}],"member":"37438","reference":[{"issue":"4","key":"1","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1093\/imaman\/13.4.245","article-title":"Segmentation into predictable classes","volume":"13","author":"T. Benton","year":"2002","journal-title":"IMA J. Manag. Math."},{"issue":"3","key":"2","doi-asserted-by":"crossref","first-page":"267","DOI":"10.3233\/IFS-1994-2306","article-title":"Fuzzy model identification based on cluster estimation","volume":"2","author":"S. Chiu","year":"1994","journal-title":"J. Intell. Fuzzy Syst."},{"issue":"2","key":"3","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1016\/S0167-9473(00)00037-2","article-title":"Supervised classification with structured class definitions","volume":"36","author":"D. Hand","year":"2001","journal-title":"Comput. Stat. Data Anal."},{"issue":"2","key":"4","first-page":"199","article-title":"Cartan connections and the equivalence problem for geometric structures","volume":"III","author":"R. Hermann","year":"1964","journal-title":"Contrib. Diff. Eqns."},{"key":"5","first-page":"189","volume-title":"Listen to your Data: Model-Based Bonification for Data Analysis","author":"T. Hermann","year":"1999"},{"key":"6","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-84628-615-5","volume-title":"Nonlinear Control Systems","author":"A. Isidori","year":"1995"},{"issue":"2","key":"7","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/0893-9659(96)00013-4","article-title":"Approximating vertical vector fields for feedforward neural networks","volume":"9","author":"D. Pearson","year":"1996","journal-title":"Appl. Math. Lett."},{"issue":"4","key":"8","doi-asserted-by":"crossref","first-page":"553","DOI":"10.3166\/jesa.39.553-569","article-title":"Increasing confidence in atmospheric pollution forecasting via vertical vector fields","volume":"39","author":"D. Pearson","year":"2005","journal-title":"Journal Europ\u00e9en des Syst\u00e8mes Automatis\u00e9s"}],"container-title":["International Journal of Applied Mathematics and Computer Science"],"original-title":[],"link":[{"URL":"http:\/\/content.sciendo.com\/view\/journals\/amcs\/17\/1\/article-p107.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/view\/j\/amcs.2007.17.issue-1\/v10006-007-0010-7\/v10006-007-0010-7.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,29]],"date-time":"2024-02-29T10:26:54Z","timestamp":1709202414000},"score":1,"resource":{"primary":{"URL":"https:\/\/content.sciendo.com\/doi\/10.2478\/v10006-007-0010-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,3,1]]},"references-count":8,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.2478\/v10006-007-0010-7","relation":{},"ISSN":["1641-876X"],"issn-type":[{"value":"1641-876X","type":"print"}],"subject":[],"published":{"date-parts":[[2007,3,1]]}}}