{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T10:28:51Z","timestamp":1761560931414},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Patt. Recogn. Artif. Intell."],"published-print":{"date-parts":[[1992,12]]},"abstract":"<jats:p> This paper presents a new method for computing the discriminant vectors of the Foley\u2013Sammon optimal set. First, an equivalent criterion is presented to replace the Fisher criterion; then, the problem of computing the discriminant vectors in R<jats:sup>n<\/jats:sup> is transformed into the maximum problem in a subspace. Several theorems relating to the method are also presented. Experimental results show that the present method is superior to the positive pseudoinverse method, and the perturbation method in terms of correct classification rate. <\/jats:p>","DOI":"10.1142\/s0218001492000412","type":"journal-article","created":{"date-parts":[[2004,11,25]],"date-time":"2004-11-25T00:50:24Z","timestamp":1101343824000},"page":"817-829","source":"Crossref","is-referenced-by-count":88,"title":["AN EFFICIENT ALGORITHM FOR FOLEY\u2013SAMMON OPTIMAL SET OF DISCRIMINANT VECTORS BY ALGEBRAIC METHOD"],"prefix":"10.1142","volume":"06","author":[{"given":"KE","family":"LIU","sequence":"first","affiliation":[{"name":"Department of Computer Science, East China Institute of Technology, Nanjing 210014, China"}]},{"given":"YONG-QING","family":"CHENG","sequence":"additional","affiliation":[{"name":"Department of Computer Science, East China Institute of Technology, Nanjing 210014, China"}]},{"given":"JING-YU","family":"YANG","sequence":"additional","affiliation":[{"name":"Department of Computer Science, East China Institute of Technology, Nanjing 210014, China"}]},{"given":"XIAO","family":"LIU","sequence":"additional","affiliation":[{"name":"Department of Automatic Control, Nanjing Aeronautic Institute, Nanjing 210016, China"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"container-title":["International Journal of Pattern Recognition and Artificial Intelligence"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218001492000412","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T16:47:43Z","timestamp":1565196463000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218001492000412"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,12]]},"references-count":0,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[1992,12]]}},"alternative-id":["10.1142\/S0218001492000412"],"URL":"https:\/\/doi.org\/10.1142\/s0218001492000412","relation":{},"ISSN":["0218-0014","1793-6381"],"issn-type":[{"value":"0218-0014","type":"print"},{"value":"1793-6381","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,12]]}}}