{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:51:46Z","timestamp":1747191106381,"version":"3.40.5"},"reference-count":31,"publisher":"Wiley","license":[{"start":{"date-parts":[[2022,5,28]],"date-time":"2022-05-28T00:00:00Z","timestamp":1653696000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational and Mathematical Methods"],"published-print":{"date-parts":[[2022,5,28]]},"abstract":"<jats:p>We propose a discrete data classification method of scattered data in <jats:inline-formula>\n                     <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\">\n                        <a:mi>N<\/a:mi>\n                     <\/a:math>\n                  <\/jats:inline-formula>-dimensional by solving the minimax problem for a set of points. The current research is extended from 2-dimensional and 3-dimensional to <jats:inline-formula>\n                     <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\">\n                        <c:mi>N<\/c:mi>\n                     <\/c:math>\n                  <\/jats:inline-formula>-dimensional. The problem can be applied to artificial intelligence classification problems (machine learning, deep learning), point data analysis problems (data science problem), the optimized design of nanoscale circuits, and the location of facility problems, circle detection on 2D image, or sphere detection on depth image. We generalized the discrete data classification methodology in <jats:inline-formula>\n                     <e:math xmlns:e=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\">\n                        <e:mi>N<\/e:mi>\n                     <\/e:math>\n                  <\/jats:inline-formula>-dimensional. Finally, we resolved to find an exact solution of the location of a manifold for our suggested problem in <jats:inline-formula>\n                     <g:math xmlns:g=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\">\n                        <g:mi>N<\/g:mi>\n                     <\/g:math>\n                  <\/jats:inline-formula>-dimensional.<\/jats:p>","DOI":"10.1155\/2022\/8199872","type":"journal-article","created":{"date-parts":[[2022,5,28]],"date-time":"2022-05-28T19:20:06Z","timestamp":1653765606000},"page":"1-8","source":"Crossref","is-referenced-by-count":3,"title":["An Optimized Discrete Data Classification Method in <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\">\n                     <a:mi>N<\/a:mi>\n                  <\/a:math>-Dimensional"],"prefix":"10.1155","volume":"2022","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4628-6895","authenticated-orcid":true,"given":"Dongyung","family":"Kim","sequence":"first","affiliation":[{"name":"Department of Mathematics, Phoenix College, Phoenix, AZ 85013, USA"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.image.2020.115931"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.36227\/techrxiv.13650059.v1"},{"first-page":"1236","article-title":"Support vector machine based on half-suppressed fuzzy c-means clustering","author":"Q.-H. 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