{"id":97860,"date":"2026-09-23T02:58:35","date_gmt":"2026-09-22T23:58:35","guid":{"rendered":"https:\/\/twodots.gr\/?p=97860"},"modified":"2026-09-23T02:58:37","modified_gmt":"2026-09-22T23:58:37","slug":"synthetika-dedomena-kanones-egkyro-oxi-panta-realistiko","status":"publish","type":"post","link":"https:\/\/twodots.gr\/bg\/synthetika-dedomena-kanones-egkyro-oxi-panta-realistiko\/","title":{"rendered":"\u03a3\u03c5\u03bd\u03b8\u03b5\u03c4\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03bc\u03b5 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b5\u03c2: \u03b3\u03b9\u03b1\u03c4\u03af \u03c4\u03bf \u00ab\u03ad\u03b3\u03ba\u03c5\u03c1\u03bf\u00bb \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03ac\u03bd\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c1\u03b5\u03b1\u03bb\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc"},"content":{"rendered":"<div class=\"td-article-lede\">\n<p><strong>\u0391\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7 \u03c0\u03c1\u03ce\u03c4\u03b1:<\/strong> \u03ad\u03bd\u03b1 \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03c3\u03c5\u03bd\u03b8\u03b5\u03c4\u03b9\u03ba\u03ce\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03be\u03b9\u03cc\u03c0\u03b9\u03c3\u03c4\u03bf \u03bc\u03cc\u03bd\u03bf \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \u03ba\u03ac\u03b8\u03b5 \u03b5\u03b3\u03b3\u03c1\u03b1\u03c6\u03ae \u03c0\u03b5\u03c1\u03bd\u03ac \u03c4\u03bf\u03c5\u03c2 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b5\u03c2 \u03b5\u03b3\u03ba\u03c5\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2. \u0391\u03bd \u03bf \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03cc\u03c2 \u03b4\u03b9\u03cc\u03c1\u03b8\u03c9\u03c3\u03b7\u03c2 \u03c3\u03c0\u03c1\u03ce\u03c7\u03bd\u03b5\u03b9 \u03c0\u03bf\u03bb\u03bb\u03ad\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03b1\u03ba\u03c1\u03b9\u03b2\u03ce\u03c2 \u03c0\u03ac\u03bd\u03c9 \u03c3\u03c4\u03bf \u03b5\u03c0\u03b9\u03c4\u03c1\u03b5\u03c0\u03c4\u03cc \u03cc\u03c1\u03b9\u03bf, \u03c4\u03bf dataset \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 100% valid \u03ba\u03b1\u03b9 \u03c4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b1 \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03c7\u03ac\u03c3\u03b5\u03b9 \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03c5\u03c0\u03ae\u03c1\u03c7\u03b5 \u03c3\u03c4\u03b1 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1.<\/p>\n<p>\u0397 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03bf FSG-LTN-GAN \u03b4\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u03c0\u03ce\u03c2 \u03c4\u03bf constraint margin, \u03bf resolution ratio \u03ba\u03b1\u03b9 \u03b7 \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03ae \u03bc\u03ad\u03c3\u03b1 \u03c3\u03b5 \u03ad\u03bd\u03b1 chart \u03c4\u03bf\u03c5 \u03b5\u03c6\u03b9\u03ba\u03c4\u03bf\u03cd \u03c7\u03ce\u03c1\u03bf\u03c5 \u03b1\u03c0\u03bf\u03ba\u03b1\u03bb\u03cd\u03c0\u03c4\u03bf\u03c5\u03bd \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03ba\u03b5\u03bd\u03cc. \u0393\u03b9\u03b1 \u03bc\u03b9\u03b1 \u03b5\u03c0\u03b9\u03c7\u03b5\u03af\u03c1\u03b7\u03c3\u03b7, \u03c4\u03bf \u03c0\u03c1\u03b1\u03ba\u03c4\u03b9\u03ba\u03cc \u03bc\u03ac\u03b8\u03b7\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03b1\u03c6\u03ad\u03c2: \u03b5\u03bb\u03ad\u03b3\u03be\u03c4\u03b5 \u03cc\u03c7\u03b9 \u03bc\u03cc\u03bd\u03bf \u03b1\u03bd \u03c4\u03b7\u03c1\u03b5\u03af\u03c4\u03b1\u03b9 \u03bf \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1\u03c2, \u03b1\u03bb\u03bb\u03ac \u03ba\u03b1\u03b9 \u03b1\u03bd \u03b4\u03b9\u03b1\u03c4\u03b7\u03c1\u03b5\u03af\u03c4\u03b1\u03b9 \u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03c4\u03b7\u03c2 \u03b1\u03c0\u03cc\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf \u03cc\u03c1\u03b9\u03cc \u03c4\u03bf\u03c5.<\/p>\n<\/div>\n<div class=\"td-article-toc\">\n<div class=\"td-toc-title\">\u0421\u044a\u0434\u044a\u0440\u0436\u0430\u043d\u0438\u0435<\/div>\n<ul>\n<li><a href=\"#egkyrotita-kai-realismos\">\u03a4\u03bf \u03ba\u03b5\u03bd\u03cc \u03b1\u03bd\u03ac\u03bc\u03b5\u03c3\u03b1 \u03c3\u03c4\u03b7\u03bd \u03b5\u03b3\u03ba\u03c5\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03bd \u03c1\u03b5\u03b1\u03bb\u03b9\u03c3\u03bc\u03cc<\/a><\/li>\n<li><a href=\"#constraint-margin\">\u03a4\u03bf constraint margin \u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c7\u03b1\u03b8\u03b5\u03af<\/a><\/li>\n<li><a href=\"#resolution-ratio\">\u039f resolution ratio \u03c0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc \u03c4\u03bf training<\/a><\/li>\n<li><a href=\"#clamping-sto-boundary\">\u0393\u03b9\u03b1\u03c4\u03af \u03c4\u03bf clamping \u03b3\u03b5\u03bc\u03af\u03b6\u03b5\u03b9 \u03c4\u03bf boundary<\/a><\/li>\n<li><a href=\"#function-symbol-grounding\">Function-symbol grounding \u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03bf\u03bd \u03b5\u03c6\u03b9\u03ba\u03c4\u03cc \u03c7\u03ce\u03c1\u03bf<\/a><\/li>\n<li><a href=\"#hybrid-epilogi\">\u0393\u03b9\u03b1\u03c4\u03af \u03c7\u03c1\u03b5\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c5\u03b2\u03c1\u03b9\u03b4\u03b9\u03ba\u03ae \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae<\/a><\/li>\n<li><a href=\"#peiramata-kai-metrikes\">\u03a4\u03b9 \u03ad\u03b4\u03b5\u03b9\u03be\u03b1\u03bd \u03c4\u03b1 \u03c0\u03b5\u03b9\u03c1\u03ac\u03bc\u03b1\u03c4\u03b1<\/a><\/li>\n<li><a href=\"#audit-framework\">Audit framework \u03b3\u03b9\u03b1 data \u03ba\u03b1\u03b9 AI governance<\/a><\/li>\n<li><a href=\"#epicheirimatikes-metrikes\">\u039f\u03b9 \u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ad\u03c2 \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b5\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03b5\u03c0\u03b9\u03c7\u03b5\u03af\u03c1\u03b7\u03c3\u03b7<\/a><\/li>\n<li><a href=\"#epta-vimata\">\u0395\u03c0\u03c4\u03ac \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b3\u03b9\u03b1 \u03b1\u03be\u03b9\u03cc\u03c0\u03b9\u03c3\u03c4\u03b1 synthetic-data pipelines<\/a><\/li>\n<li><a href=\"#oria-erevnas\">\u03a4\u03b1 \u03cc\u03c1\u03b9\u03b1 \u03c4\u03b7\u03c2 \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1\u03c2<\/a><\/li>\n<li><a href=\"#symperasma\">\u0391\u03c0\u03cc \u03c4\u03bf 100% valid \u03c3\u03b5 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03b9\u03c2 \u03c0\u03bf\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2<\/a><\/li>\n<\/ul>\n<\/div>\n<h2 id=\"egkyrotita-kai-realismos\">\u03a4\u03bf \u03ba\u03b5\u03bd\u03cc \u03b1\u03bd\u03ac\u03bc\u03b5\u03c3\u03b1 \u03c3\u03c4\u03b7\u03bd \u03b5\u03b3\u03ba\u03c5\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03bd \u03c1\u03b5\u03b1\u03bb\u03b9\u03c3\u03bc\u03cc<\/h2>\n<p>\u039f\u03b9 \u03b4\u03bf\u03bc\u03b7\u03bc\u03ad\u03bd\u03b5\u03c2 \u03b5\u03b3\u03b3\u03c1\u03b1\u03c6\u03ad\u03c2 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03bf\u03cd\u03bd \u03ba\u03b1\u03bd\u03cc\u03bd\u03b5\u03c2. \u0397 \u03ce\u03c1\u03b1 \u03b1\u03c0\u03bf\u03b2\u03af\u03b2\u03b1\u03c3\u03b7\u03c2 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b5\u03c4\u03b1\u03b3\u03b5\u03bd\u03ad\u03c3\u03c4\u03b5\u03c1\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03c0\u03b9\u03b2\u03af\u03b2\u03b1\u03c3\u03b7\u03c2, \u03b7 \u03b4\u03b9\u03ac\u03c1\u03ba\u03b5\u03b9\u03b1 \u03bc\u03b9\u03b1\u03c2 \u03b4\u03b9\u03b1\u03b4\u03c1\u03bf\u03bc\u03ae\u03c2 \u03b8\u03b5\u03c4\u03b9\u03ba\u03ae \u03ba\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03c4\u03b1\u03c5\u03c4\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b1\u03ba\u03c1\u03b9\u03b2\u03ae\u03c2. \u0388\u03bd\u03b1 generative model \u03c0\u03bf\u03c5 \u03b1\u03b3\u03bd\u03bf\u03b5\u03af \u03b1\u03c5\u03c4\u03ad\u03c2 \u03c4\u03b9\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b5\u03b9\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03ae\u03c3\u03b5\u03b9 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c0\u03bf\u03c5 \u03c6\u03b1\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c0\u03b9\u03b8\u03b1\u03bd\u03ad\u03c2 \u03b1\u03bd\u03ac \u03c3\u03c4\u03ae\u03bb\u03b7 \u03b1\u03bb\u03bb\u03ac \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03b4\u03cd\u03bd\u03b1\u03c4\u03b5\u03c2 \u03c9\u03c2 \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf.<\/p>\n<p>\u039f\u03b9 soft constraints \u03c0\u03c1\u03bf\u03c3\u03b8\u03ad\u03c4\u03bf\u03c5\u03bd \u03c0\u03bf\u03b9\u03bd\u03ae \u03c3\u03c4\u03bf training loss \u03cc\u03c4\u03b1\u03bd \u03c0\u03b1\u03c1\u03b1\u03b2\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03ad\u03bd\u03b1\u03c2 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1\u03c2. \u0392\u03b5\u03bb\u03c4\u03b9\u03ce\u03bd\u03bf\u03c5\u03bd \u03c4\u03b7 \u03c3\u03c5\u03bc\u03bc\u03cc\u03c1\u03c6\u03c9\u03c3\u03b7, \u03b1\u03bb\u03bb\u03ac \u03b4\u03b5\u03bd \u03c4\u03b7\u03bd \u03b5\u03b3\u03b3\u03c5\u03ce\u03bd\u03c4\u03b1\u03b9, \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \u03c4\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03bd\u03c4\u03b1\u03bb\u03bb\u03ac\u03be\u03b5\u03b9 \u03c4\u03b7\u03bd \u03c0\u03bf\u03b9\u03bd\u03ae \u03bc\u03b5 \u03ac\u03bb\u03bb\u03bf\u03c5\u03c2 \u03c3\u03c4\u03cc\u03c7\u03bf\u03c5\u03c2 \u03b5\u03ba\u03c0\u03b1\u03af\u03b4\u03b5\u03c5\u03c3\u03b7\u03c2. \u039f\u03b9 hard constraints \u03b5\u03bd\u03c3\u03c9\u03bc\u03b1\u03c4\u03ce\u03bd\u03bf\u03c5\u03bd \u03c4\u03bf\u03bd \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1 \u03c3\u03c4\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03ae\u03c2, \u03ce\u03c3\u03c4\u03b5 \u03ad\u03bd\u03b1 \u03c0\u03b1\u03c1\u03ac\u03bd\u03bf\u03bc\u03bf \u03b4\u03b5\u03af\u03b3\u03bc\u03b1 \u03bd\u03b1 \u03bc\u03b7\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03be\u03ad\u03bb\u03b8\u03b5\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf.<\/p>\n<p>\u0397 \u03b5\u03b3\u03b3\u03cd\u03b7\u03c3\u03b7 \u03cc\u03bc\u03c9\u03c2 \u03b4\u03b5\u03bd \u03b1\u03c1\u03ba\u03b5\u03af. \u0391\u03bd \u03ad\u03bd\u03b1\u03c2 constraint layer \u03bc\u03b5\u03c4\u03b1\u03ba\u03b9\u03bd\u03b5\u03af \u03ba\u03ac\u03b8\u03b5 \u03bc\u03b7 \u03ad\u03b3\u03ba\u03c5\u03c1\u03b7 \u03c4\u03b9\u03bc\u03ae \u03c3\u03c4\u03bf \u03ba\u03bf\u03bd\u03c4\u03b9\u03bd\u03cc\u03c4\u03b5\u03c1\u03bf \u03b5\u03c0\u03b9\u03c4\u03c1\u03b5\u03c0\u03c4\u03cc \u03cc\u03c1\u03b9\u03bf, \u03c0\u03bf\u03bb\u03bb\u03ad\u03c2 \u03b5\u03b3\u03b3\u03c1\u03b1\u03c6\u03ad\u03c2 \u03c3\u03c5\u03c3\u03c3\u03c9\u03c1\u03b5\u03cd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03af\u03b4\u03b9\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf. \u03a4\u03bf \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 100% valid, \u03b1\u03bb\u03bb\u03ac \u03b1\u03c0\u03bf\u03ba\u03c4\u03ac \u03bc\u03b9\u03b1 \u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae \u03bc\u03ac\u03b6\u03b1 \u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c3\u03c4\u03b1 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1. \u03a4\u03bf paper \u03c4\u03c9\u03bd Nijesh Upreti \u03ba\u03b1\u03b9 Vaishak Belle \u03b4\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03bf\u03b9 \u03c3\u03c5\u03bd\u03b7\u03b8\u03b9\u03c3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ad\u03c2 \u03b1\u03bd\u03ac \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bc\u03b7\u03bd \u03b5\u03bd\u03c4\u03bf\u03c0\u03af\u03c3\u03bf\u03c5\u03bd \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03bc\u03cc\u03c1\u03c6\u03c9\u03c3\u03b7.<\/p>\n<p>\u03a4\u03bf \u03af\u03b4\u03b9\u03bf \u03b5\u03bb\u03b5\u03b3\u03ba\u03c4\u03b9\u03ba\u03cc \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03b5\u03ba\u03c4\u03cc\u03c2 constraints: \u03b7 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03b3\u03b9\u03b1 \u03c4\u03bf <a href=\"https:\/\/twodots.gr\/model-collapse-ai-synthetic-data\/\">model collapse \u03b1\u03c0\u03cc \u03b5\u03c0\u03b1\u03bd\u03b1\u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c3\u03c5\u03bd\u03b8\u03b5\u03c4\u03b9\u03ba\u03ce\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd<\/a> \u03c5\u03c0\u03b5\u03bd\u03b8\u03c5\u03bc\u03af\u03b6\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03ad\u03bd\u03b1 dataset \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b4\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u03b5\u03cd\u03bb\u03bf\u03b3\u03bf \u03c4\u03bf\u03c0\u03b9\u03ba\u03ac, \u03b5\u03bd\u03ce \u03b7 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03ae \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03b9\u03b1\u03ba\u03ae \u03c4\u03bf\u03c5 \u03b4\u03bf\u03bc\u03ae \u03c6\u03c4\u03c9\u03c7\u03b1\u03af\u03bd\u03b5\u03b9.<\/p>\n<h2 id=\"constraint-margin\">\u03a4\u03bf constraint margin \u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c7\u03b1\u03b8\u03b5\u03af<\/h2>\n<p>\u039f\u03b9 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03ad\u03c2 \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03bf\u03c5\u03bd <em>constraint margin<\/em> \u03c4\u03b7\u03bd \u03b1\u03c0\u03cc\u03c3\u03c4\u03b1\u03c3\u03b7 \u03bc\u03b9\u03b1\u03c2 \u03b5\u03b3\u03b3\u03c1\u03b1\u03c6\u03ae\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf \u03cc\u03c1\u03b9\u03bf \u03c4\u03bf\u03c5 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1. \u0391\u03bd \u03bf \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u00ab\u03b7 \u03b1\u03c0\u03bf\u03b2\u03af\u03b2\u03b1\u03c3\u03b7 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5\u03c4\u03ac \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03b2\u03af\u03b2\u03b1\u03c3\u03b7\u00bb, \u03c4\u03bf margin \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03b4\u03b9\u03ac\u03c1\u03ba\u03b5\u03b9\u03b1 \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03b4\u03c1\u03bf\u03bc\u03ae\u03c2. \u0391\u03bd \u03bf \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 b&gt;a, \u03c4\u03bf margin \u03b5\u03af\u03bd\u03b1\u03b9 b\u2212a. \u0394\u03b5\u03bd \u03b1\u03c1\u03ba\u03b5\u03af \u03cc\u03bb\u03b5\u03c2 \u03bf\u03b9 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ad\u03c2 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b8\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2\u0387 \u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03c4\u03bf\u03c5\u03c2 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03bd\u03b1 \u03bc\u03bf\u03b9\u03ac\u03b6\u03b5\u03b9 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae.<\/p>\n<p>\u0397 \u03b4\u03b9\u03ac\u03ba\u03c1\u03b9\u03c3\u03b7 \u03ad\u03c7\u03b5\u03b9 \u03ac\u03bc\u03b5\u03c3\u03b7 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae \u03b1\u03be\u03af\u03b1. \u03a3\u03b5 \u03bc\u03b9\u03b1 \u03c1\u03bf\u03ae \u03c0\u03b1\u03c1\u03b1\u03b3\u03b3\u03b5\u03bb\u03b9\u03ce\u03bd, \u03b7 \u03c7\u03c1\u03bf\u03bd\u03b9\u03ba\u03ae \u03b1\u03c0\u03cc\u03c3\u03c4\u03b1\u03c3\u03b7 \u03b1\u03bd\u03ac\u03bc\u03b5\u03c3\u03b1 \u03c3\u03b5 \u03b4\u03cd\u03bf \u03b5\u03c0\u03b9\u03c4\u03c1\u03b5\u03c0\u03c4\u03ac \u03b3\u03b5\u03b3\u03bf\u03bd\u03cc\u03c4\u03b1 \u03b5\u03c0\u03b7\u03c1\u03b5\u03ac\u03b6\u03b5\u03b9 capacity planning \u03ba\u03b1\u03b9 SLA. \u03a3\u03b5 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03c4\u03b9\u03bc\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7\u03c2, \u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03b4\u03cd\u03bf \u03c3\u03c5\u03bd\u03b4\u03b5\u03b4\u03b5\u03bc\u03ad\u03bd\u03c9\u03bd \u03c0\u03bf\u03c3\u03ce\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03bb\u03bb\u03ac\u03be\u03b5\u03b9 margin analysis \u03ae \u03ba\u03b1\u03bd\u03cc\u03bd\u03b5\u03c2 \u03b5\u03bb\u03ad\u03b3\u03c7\u03bf\u03c5. \u03a4\u03bf paper \u03b4\u03b5\u03bd \u03b1\u03be\u03b9\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03c4\u03ad\u03c4\u03bf\u03b9\u03b1 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae, \u03b1\u03bb\u03bb\u03ac \u03b7 \u03b1\u03c1\u03c7\u03ae \u03bc\u03b5\u03c4\u03b1\u03c6\u03ad\u03c1\u03b5\u03c4\u03b1\u03b9: \u03b7 \u03b1\u03c0\u03cc\u03c3\u03c4\u03b1\u03c3\u03b7 \u03b1\u03c0\u03cc \u03c4\u03bf \u03cc\u03c1\u03b9\u03bf \u03c3\u03c5\u03c7\u03bd\u03ac \u03bc\u03b5\u03c4\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b7 \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b1 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03b1\u03c0\u03bb\u03cc true\/false.<\/p>\n<p>\u0397 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03c4\u03b7\u03bd \u03b1\u03c0\u03cc\u03c3\u03c4\u03b1\u03c3\u03b7 Kolmogorov\u2013Smirnov, \u03ae margin KS, \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c3\u03c5\u03b3\u03ba\u03c1\u03af\u03bd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03c3\u03c5\u03bd\u03b8\u03b5\u03c4\u03b9\u03ba\u03ae \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03c4\u03bf\u03c5 margin. \u039c\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b7 \u03c4\u03b9\u03bc\u03ae \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03c3\u03c5\u03bc\u03c6\u03c9\u03bd\u03af\u03b1. \u0397 \u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ae \u03b4\u03b5\u03bd \u03b1\u03bd\u03c4\u03b9\u03ba\u03b1\u03b8\u03b9\u03c3\u03c4\u03ac \u03cc\u03bb\u03bf\u03c5\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03c5\u03c0\u03cc\u03bb\u03bf\u03b9\u03c0\u03bf\u03c5\u03c2 \u03b5\u03bb\u03ad\u03b3\u03c7\u03bf\u03c5\u03c2, \u03b1\u03bb\u03bb\u03ac \u03c6\u03c9\u03c4\u03af\u03b6\u03b5\u03b9 \u03ad\u03bd\u03b1 failure mode \u03c0\u03bf\u03c5 \u03bf\u03b9 \u03bc\u03ad\u03c3\u03bf\u03b9 \u03cc\u03c1\u03bf\u03b9 \u03b1\u03bd\u03ac \u03c3\u03c4\u03ae\u03bb\u03b7 \u03b1\u03c6\u03ae\u03bd\u03bf\u03c5\u03bd \u03b1\u03cc\u03c1\u03b1\u03c4\u03bf.<\/p>\n<aside class=\"td-article-note\"><strong>\u039a\u03c1\u03af\u03c3\u03b9\u03bc\u03b7 \u03b4\u03b9\u03ac\u03ba\u03c1\u03b9\u03c3\u03b7:<\/strong> validity \u03bc\u03b5\u03c4\u03c1\u03ac \u03b1\u03bd \u03ad\u03bd\u03b1 \u03b4\u03b5\u03af\u03b3\u03bc\u03b1 \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7 \u03c3\u03c9\u03c3\u03c4\u03ae \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac \u03c4\u03bf\u03c5 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1. Margin fidelity \u03bc\u03b5\u03c4\u03c1\u03ac \u03b1\u03bd \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03b5\u03ba\u03b5\u03af \u03bc\u03b5 \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03b1\u03c0\u03bf\u03c3\u03c4\u03ac\u03c3\u03b5\u03c9\u03bd \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03b5\u03af\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b1 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1.<\/aside>\n<h2 id=\"resolution-ratio\">\u039f resolution ratio \u03c0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc \u03c4\u03bf training<\/h2>\n<p>\u0397 \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03b7 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ae \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf <em>resolution ratio<\/em> R. \u039f\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c9\u03c2 \u03bf \u03bb\u03cc\u03b3\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7\u03c2 \u03c4\u03c5\u03c0\u03b9\u03ba\u03ae\u03c2 \u03b1\u03c0\u03cc\u03ba\u03bb\u03b9\u03c3\u03b7\u03c2 \u03c4\u03c9\u03bd \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ce\u03bd \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b7\u03bd \u03c4\u03c5\u03c0\u03b9\u03ba\u03ae \u03b1\u03c0\u03cc\u03ba\u03bb\u03b9\u03c3\u03b7 \u03c4\u03bf\u03c5 margin, \u03c0\u03ac\u03bd\u03c9 \u03c3\u03c4\u03b1 \u03b1\u03ba\u03b1\u03c4\u03ad\u03c1\u03b3\u03b1\u03c3\u03c4\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03ba\u03b1\u03b9 \u03c0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b5\u03ba\u03c0\u03b1\u03af\u03b4\u03b5\u03c5\u03c3\u03b7. \u038c\u03c4\u03b1\u03bd \u03c4\u03bf R \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03ba\u03c1\u03cc, \u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03c0\u03bf\u03c5 \u03b5\u03bd\u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03c1\u03b1\u03c4\u03ae \u03c3\u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1 \u03bc\u03b5 \u03c4\u03b1 \u03c0\u03b5\u03b4\u03af\u03b1. \u038c\u03c4\u03b1\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf, \u03c4\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03bc\u03ac\u03b8\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03c0\u03bf\u03bb\u03cd \u03bc\u03b9\u03ba\u03c1\u03ae \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03b1\u03bd\u03ac\u03bc\u03b5\u03c3\u03b1 \u03c3\u03b5 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b5\u03c2, \u03c3\u03c7\u03b5\u03b4\u03cc\u03bd \u03af\u03c3\u03b5\u03c2 \u03c0\u03bf\u03c3\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2.<\/p>\n<p>\u03a3\u03c4\u03b1 \u03b8\u03b5\u03c1\u03bc\u03bf\u03c7\u03b7\u03bc\u03b9\u03ba\u03ac \u03c0\u03b1\u03c1\u03b1\u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03b1 \u03c4\u03b7\u03c2 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2, \u03bc\u03b9\u03b1 \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03b7 \u03b5\u03bd\u03b5\u03c1\u03b3\u03b5\u03b9\u03b1\u03ba\u03ae \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03ad\u03bd\u03c4\u03b5 \u03c4\u03ac\u03be\u03b5\u03b9\u03c2 \u03bc\u03b5\u03b3\u03ad\u03b8\u03bf\u03c5\u03c2 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b7 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03af\u03b4\u03b9\u03b5\u03c2 \u03c4\u03b9\u03c2 \u03b5\u03bd\u03b5\u03c1\u03b3\u03b5\u03b9\u03b1\u03ba\u03ad\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2. \u039f discriminator \u03b4\u03c5\u03c3\u03ba\u03bf\u03bb\u03b5\u03cd\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03b4\u03b9\u03b1\u03ba\u03c1\u03af\u03bd\u03b5\u03b9 \u03c4\u03bf margin, \u03b5\u03bd\u03ce \u03c4\u03bf predicate \u03c0\u03bf\u03c5 \u03b4\u03af\u03bd\u03b5\u03b9 \u03c4\u03bf \u03c3\u03ae\u03bc\u03b1 \u03b9\u03ba\u03b1\u03bd\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03ad\u03c7\u03b5\u03b9 \u03c7\u03c1\u03ae\u03c3\u03b9\u03bc\u03bf gradient \u03bc\u03cc\u03bd\u03bf \u03c3\u03b5 \u03c3\u03c4\u03b5\u03bd\u03ae \u03b6\u03ce\u03bd\u03b7. \u0397 \u03b8\u03b5\u03c9\u03c1\u03b7\u03c4\u03b9\u03ba\u03ae \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03c0\u03b5\u03c1\u03b9\u03b3\u03c1\u03ac\u03c6\u03b5\u03b9 \u03c4\u03bf \u03c0\u03bf\u03c3\u03bf\u03c3\u03c4\u03cc \u03b4\u03b5\u03b9\u03b3\u03bc\u03ac\u03c4\u03c9\u03bd \u03bc\u03b5 \u03c7\u03c1\u03ae\u03c3\u03b9\u03bc\u03bf gradient \u03c9\u03c2 \u03c4\u03ac\u03be\u03b7\u03c2 1\/R.<\/p>\n<p>\u03a4\u03bf R \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03c9\u03c2 \u03b4\u03b9\u03b1\u03b3\u03bd\u03c9\u03c3\u03c4\u03b9\u03ba\u03cc conditioning \u03ba\u03b1\u03b9 \u03cc\u03c7\u03b9 \u03c9\u03c2 \u03ba\u03b1\u03b8\u03bf\u03bb\u03b9\u03ba\u03ae \u03b5\u03c4\u03b9\u03ba\u03ad\u03c4\u03b1 \u00ab\u03ba\u03b1\u03bb\u03bf\u03cd\u00bb \u03ae \u00ab\u03ba\u03b1\u03ba\u03bf\u03cd\u00bb dataset. \u0394\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u03b1\u03bd \u03b7 \u03b5\u03c0\u03b9\u03bb\u03b5\u03b3\u03bc\u03ad\u03bd\u03b7 \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03ba\u03ac\u03bd\u03b5\u03b9 \u03c4\u03bf\u03bd \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03bf \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1 \u03b5\u03cd\u03ba\u03bf\u03bb\u03bf \u03ae \u03b5\u03be\u03b1\u03b9\u03c1\u03b5\u03c4\u03b9\u03ba\u03ac \u03b4\u03cd\u03c3\u03ba\u03bf\u03bb\u03bf \u03bd\u03b1 \u03bc\u03b1\u03b8\u03b5\u03c5\u03c4\u03b5\u03af. \u0393\u03b9\u03b1 \u03bc\u03b9\u03b1 \u03bf\u03bc\u03ac\u03b4\u03b1 data science, \u03bf \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2 constraints \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03bd\u03b1 \u03be\u03b5\u03ba\u03b9\u03bd\u03ac \u03ba\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1 \u03c4\u03c9\u03bd margins, \u03cc\u03c7\u03b9 \u03bc\u03cc\u03bd\u03bf \u03b1\u03c0\u03cc \u03bc\u03b9\u03b1 \u03bb\u03af\u03c3\u03c4\u03b1 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ce\u03bd \u03ba\u03b1\u03bd\u03cc\u03bd\u03c9\u03bd.<\/p>\n<h2 id=\"clamping-sto-boundary\">\u0393\u03b9\u03b1\u03c4\u03af \u03c4\u03bf clamping \u03b3\u03b5\u03bc\u03af\u03b6\u03b5\u03b9 \u03c4\u03bf boundary<\/h2>\n<p>\u039f constraint layer \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03b6\u03b5\u03b9 \u03b5\u03c0\u03b9\u03c4\u03c1\u03b5\u03c0\u03c4\u03ac \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03bc\u03ad\u03c3\u03c9 Fourier\u2013Motzkin reduction \u03ba\u03b1\u03b9 \u03bc\u03b5\u03c4\u03b1\u03ba\u03b9\u03bd\u03b5\u03af \u03ba\u03ac\u03b8\u03b5 \u03c4\u03b9\u03bc\u03ae \u03c0\u03bf\u03c5 \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03b5\u03ba\u03c4\u03cc\u03c2 \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03c3\u03c4\u03bf \u03c0\u03bb\u03b7\u03c3\u03b9\u03ad\u03c3\u03c4\u03b5\u03c1\u03bf \u03cc\u03c1\u03b9\u03bf. \u0388\u03c4\u03c3\u03b9 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03b3\u03b3\u03c5\u03b7\u03b8\u03b5\u03af \u03b5\u03b3\u03ba\u03c5\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b3\u03b9\u03b1 \u03c3\u03c5\u03b6\u03b5\u03cd\u03be\u03b5\u03b9\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ce\u03bd \u03b1\u03bd\u03b9\u03c3\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd. \u0391\u03bd \u03cc\u03bc\u03c9\u03c2 \u03bf \u03b5\u03bb\u03b5\u03cd\u03b8\u03b5\u03c1\u03bf\u03c2 generator \u03c0\u03b1\u03c1\u03b1\u03b2\u03b9\u03ac\u03b6\u03b5\u03b9 \u03c3\u03c5\u03c7\u03bd\u03ac \u03c4\u03bf\u03bd \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1, \u03c0\u03bf\u03bb\u03bb\u03ad\u03c2 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03b5\u03b9\u03c2 \u03ba\u03b1\u03c4\u03b1\u03bb\u03ae\u03b3\u03bf\u03c5\u03bd \u03b1\u03ba\u03c1\u03b9\u03b2\u03ce\u03c2 \u03c3\u03c4\u03bf \u03af\u03b4\u03b9\u03bf boundary.<\/p>\n<div class=\"td-comparison td-comparison-cards td-comparison-cards--horizontal\">\n<div class=\"td-comparison-grid td-comparison-grid--three\">\n<div class=\"td-platform-card\">\n<p class=\"td-comparison-title\">Soft constraint<\/p>\n<p>\u03a4\u03bf predicate \u03b2\u03b1\u03b8\u03bc\u03bf\u03bb\u03bf\u03b3\u03b5\u03af \u03c0\u03cc\u03c3\u03bf \u03ba\u03b1\u03bb\u03ac \u03b9\u03ba\u03b1\u03bd\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03bf \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03c1\u03bf\u03c3\u03b8\u03ad\u03c4\u03b5\u03b9 \u03c0\u03bf\u03b9\u03bd\u03ae \u03c3\u03c4\u03bf loss. \u03a0\u03c1\u03bf\u03c3\u03c6\u03ad\u03c1\u03b5\u03b9 gradient, \u03b1\u03bb\u03bb\u03ac \u03b4\u03b5\u03bd \u03b5\u03b3\u03b3\u03c5\u03ac\u03c4\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03ba\u03ac\u03b8\u03b5 \u03b4\u03b5\u03af\u03b3\u03bc\u03b1 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03b3\u03ba\u03c5\u03c1\u03bf.<\/p>\n<div class=\"td-badge-row\"><span class=\"td-badge\">\u039c\u03b1\u03bb\u03b1\u03ba\u03ae \u03c0\u03bf\u03b9\u03bd\u03ae<\/span><span class=\"td-badge\">\u03a7\u03c9\u03c1\u03af\u03c2 \u03b5\u03b3\u03b3\u03cd\u03b7\u03c3\u03b7<\/span><\/div>\n<\/div>\n<div class=\"td-platform-card\">\n<p class=\"td-comparison-title\">Constraint layer<\/p>\n<p>\u0394\u03b9\u03bf\u03c1\u03b8\u03ce\u03bd\u03b5\u03b9 \u03c4\u03b7 \u03bc\u03b7 \u03ad\u03b3\u03ba\u03c5\u03c1\u03b7 \u03c4\u03b9\u03bc\u03ae \u03bc\u03b5 clamp \u03c3\u03c4\u03bf \u03b5\u03c0\u03b9\u03c4\u03c1\u03b5\u03c0\u03c4\u03cc \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1. \u0395\u03b3\u03b3\u03c5\u03ac\u03c4\u03b1\u03b9 validity, \u03b1\u03bb\u03bb\u03ac \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03ae\u03c3\u03b5\u03b9 \u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae \u03bc\u03ac\u03b6\u03b1 \u03c0\u03ac\u03bd\u03c9 \u03c3\u03c4\u03bf \u03cc\u03c1\u03b9\u03bf.<\/p>\n<div class=\"td-badge-row\"><span class=\"td-badge\">100% validity<\/span><span class=\"td-badge\">Boundary pile-up<\/span><\/div>\n<\/div>\n<div class=\"td-platform-card td-platform-card--navy\">\n<p class=\"td-comparison-title\">FSG chart<\/p>\n<p>\u03a0\u03b1\u03c1\u03ac\u03b3\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ad\u03bd\u03b7 \u03c4\u03b9\u03bc\u03ae \u03b1\u03c0\u03cc \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03bf\u03bd \u03b5\u03c6\u03b9\u03ba\u03c4\u03cc \u03c7\u03ce\u03c1\u03bf. \u039f \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1\u03c2 \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 by construction \u03ba\u03b1\u03b9 \u03c4\u03bf margin \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 learnable coordinate.<\/p>\n<div class=\"td-badge-row\"><span class=\"td-badge\">Valid by construction<\/span><span class=\"td-badge\">Margin fidelity<\/span><\/div>\n<\/div>\n<\/div>\n<\/div>\n<p>\u03a3\u03c4\u03b1 \u03c4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b1 high-resolution datasets \u03c4\u03b7\u03c2 \u03ba\u03cd\u03c1\u03b9\u03b1\u03c2 \u03b1\u03be\u03b9\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7\u03c2 \u2014Alchemy, tmQM, Transition1x \u03ba\u03b1\u03b9 Taxi\u2014 \u03c4\u03cc\u03c3\u03bf \u03c4\u03bf C-DGM \u03bc\u03b5 constraint layer \u03cc\u03c3\u03bf \u03ba\u03b1\u03b9 \u03c4\u03bf FSG-LTN-GAN \u03ae\u03c4\u03b1\u03bd 100% \u03ad\u03b3\u03ba\u03c5\u03c1\u03b1. \u03a9\u03c3\u03c4\u03cc\u03c3\u03bf, \u03c4\u03bf \u03bc\u03ad\u03c3\u03bf margin KS \u03b1\u03bd\u03ac dataset \u03c4\u03bf\u03c5 constraint layer \u03ba\u03c5\u03bc\u03ac\u03bd\u03b8\u03b7\u03ba\u03b5 \u03b1\u03c0\u03cc 0,574 \u03ad\u03c9\u03c2 1,000, \u03b5\u03bd\u03ce \u03c4\u03bf\u03c5 FSG-LTN-GAN \u03b1\u03c0\u03cc 0,040 \u03ad\u03c9\u03c2 0,099. \u03a4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03b4\u03ad\u03ba\u03b1 seeds \u03ba\u03b1\u03b9 \u03b7 paired Wilcoxon \u03c3\u03cd\u03b3\u03ba\u03c1\u03b9\u03c3\u03b7 \u03ae\u03c4\u03b1\u03bd p&lt;0,01.<\/p>\n<p>\u03a3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03bb\u03b5\u03c0\u03c4\u03bf\u03bc\u03ad\u03c1\u03b5\u03b9\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03b1 per-property moment errors \u03ae\u03c4\u03b1\u03bd \u03c3\u03c5\u03b3\u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03c3\u03b5 tmQM \u03ba\u03b1\u03b9 Transition1x \u03b5\u03c5\u03bd\u03bf\u03bf\u03cd\u03c3\u03b1\u03bd \u03c4\u03bf constraint layer. \u0386\u03c1\u03b1 \u03bc\u03b9\u03b1 \u03b1\u03be\u03b9\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03ba\u03bf\u03b9\u03c4\u03ac \u03ba\u03ac\u03b8\u03b5 \u03c3\u03c4\u03ae\u03bb\u03b7 \u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03ac \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03b3\u03ba\u03c1\u03af\u03bd\u03b5\u03b9 \u03ad\u03bd\u03b1 dataset \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03ad\u03c7\u03b5\u03b9 \u03c7\u03ac\u03c3\u03b5\u03b9 \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03c4\u03b7\u03c2 \u03bf\u03c5\u03c3\u03b9\u03b1\u03c3\u03c4\u03b9\u03ba\u03ae\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b7\u03c2.<\/p>\n<h2 id=\"function-symbol-grounding\">Function-symbol grounding \u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03bf\u03bd \u03b5\u03c6\u03b9\u03ba\u03c4\u03cc \u03c7\u03ce\u03c1\u03bf<\/h2>\n<p>\u03a4\u03bf Logic Tensor Network \u03c0\u03bb\u03b1\u03af\u03c3\u03b9\u03bf \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b3\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9 \u03ad\u03bd\u03b1\u03bd \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1 \u03c9\u03c2 predicate, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03c9\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03b2\u03b1\u03b8\u03bc\u03bf\u03bb\u03bf\u03b3\u03b5\u03af \u03ad\u03bd\u03b1 \u03b4\u03b5\u03af\u03b3\u03bc\u03b1, \u03ae \u03c9\u03c2 function symbol, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03c9\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c4\u03b9\u03bc\u03ae. \u0397 FSG \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7 \u03b5\u03c0\u03b9\u03bb\u03ad\u03b3\u03b5\u03b9 \u03c4\u03bf \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03bf \u03b3\u03b9\u03b1 \u03b4\u03bf\u03bc\u03b9\u03ba\u03bf\u03cd\u03c2 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b5\u03c2. \u0393\u03b9\u03b1 b&gt;a, \u03bf generator \u03b4\u03b5\u03bd \u03c0\u03b1\u03c1\u03ac\u03b3\u03b5\u03b9 \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf b. \u03a0\u03b1\u03c1\u03ac\u03b3\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03b5\u03bb\u03b5\u03cd\u03b8\u03b5\u03c1\u03b7 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b7 z \u03ba\u03b1\u03b9 \u03c4\u03bf b \u03c3\u03c5\u03bd\u03b1\u03c1\u03bc\u03bf\u03bb\u03bf\u03b3\u03b5\u03af\u03c4\u03b1\u03b9 \u03c9\u03c2 a \u03c3\u03c5\u03bd \u03ad\u03bd\u03b1 \u03b8\u03b5\u03c4\u03b9\u03ba\u03cc, \u03bf\u03bc\u03b1\u03bb\u03ac \u03c0\u03b1\u03c1\u03b1\u03bc\u03b5\u03c4\u03c1\u03bf\u03c0\u03bf\u03b9\u03b7\u03bc\u03ad\u03bd\u03bf increment.<\/p>\n<p>\u039f\u03b9 function symbols \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03b6\u03bf\u03c5\u03bd \u03ad\u03bd\u03b1 <em>chart<\/em>, \u03ad\u03bd\u03b1 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03c9\u03bd \u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03bf\u03bd \u03b5\u03c6\u03b9\u03ba\u03c4\u03cc \u03c7\u03ce\u03c1\u03bf. \u0393\u03b9\u03b1 \u03bc\u03bf\u03bd\u03cc\u03c0\u03bb\u03b5\u03c5\u03c1\u03b1 \u03cc\u03c1\u03b9\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 softplus \u03ae \u03b7 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03c1\u03bf\u03c6\u03b7 \u03bc\u03bf\u03c1\u03c6\u03ae \u03c4\u03bf\u03c5, \u03b3\u03b9\u03b1 \u03b4\u03b9\u03c0\u03bb\u03ac \u03cc\u03c1\u03b9\u03b1 logistic \u03b1\u03c0\u03b5\u03b9\u03ba\u03cc\u03bd\u03b9\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 identities \u03b7 \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ad\u03bd\u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2. \u039f discriminator \u03b2\u03bb\u03ad\u03c0\u03b5\u03b9 chart coordinates \u03cc\u03c0\u03bf\u03c5 \u03c4\u03b1 margins \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1 \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bc\u03ac\u03b8\u03b5\u03b9, \u03ba\u03b1\u03b9 \u03b7 \u03b1\u03c0\u03bf\u03ba\u03c9\u03b4\u03b9\u03ba\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03b5\u03c0\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03b5\u03b9 \u03b5\u03c0\u03b9\u03c4\u03c1\u03b5\u03c0\u03c4\u03ac \u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03b1.<\/p>\n<p>\u0397 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03c5\u03c3\u03b9\u03b1\u03c3\u03c4\u03b9\u03ba\u03ae: \u03c4\u03bf clamping \u03b4\u03b9\u03bf\u03c1\u03b8\u03ce\u03bd\u03b5\u03b9 \u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03b1\u03c6\u03bf\u03cd \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b7\u03b8\u03b5\u03af \u03ad\u03be\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03c7\u03ce\u03c1\u03bf, \u03b5\u03bd\u03ce \u03c4\u03bf chart \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03b5\u03b9 \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03ae \u03bc\u03cc\u03bd\u03bf \u03c3\u03c4\u03bf \u03b5\u03c3\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03cc. \u0397 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03ba\u03bd\u03cd\u03b5\u03b9 validity by construction \u03b3\u03b9\u03b1 \u03c0\u03b5\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ad\u03bd\u03b1, \u03c3\u03c5\u03bd\u03b5\u03c0\u03ae \u03c3\u03cd\u03bd\u03bf\u03bb\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ce\u03bd \u03b1\u03bd\u03b9\u03c3\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd \u03ba\u03b1\u03b9 \u03b5\u03be\u03b7\u03b3\u03b5\u03af \u03b3\u03b9\u03b1\u03c4\u03af \u03bf\u03b9 definitional identities, \u03c0\u03bf\u03c5 \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03b6\u03bf\u03c5\u03bd \u03c3\u03cd\u03bd\u03bf\u03bb\u03b1 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03bf\u03cd \u03bc\u03ad\u03c4\u03c1\u03bf\u03c5 \u03c3\u03c4\u03bf\u03bd ambient \u03c7\u03ce\u03c1\u03bf, \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03cc\u03c7\u03b9 \u03b1\u03c0\u03bb\u03ce\u03c2 \u03bd\u03b1 \u03b5\u03bd\u03b8\u03b1\u03c1\u03c1\u03cd\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 loss.<\/p>\n<div class=\"td-decision-band\">\n<p class=\"td-decision-kicker\">\u039a\u03b1\u03bd\u03cc\u03bd\u03b1\u03c2 \u03b1\u03be\u03b9\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7\u03c2<\/p>\n<p class=\"td-decision-title\">\u039c\u03b7\u03bd \u03b5\u03b3\u03ba\u03c1\u03af\u03bd\u03b5\u03c4\u03b5 synthetic data \u03bc\u03cc\u03bd\u03bf \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \u03bf validator \u03b5\u03c0\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03b5\u03b9 100%<\/p>\n<p>\u039f\u03c1\u03af\u03c3\u03c4\u03b5 \u03c4\u03bf \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ac \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc margin, \u03bc\u03b5\u03c4\u03c1\u03ae\u03c3\u03c4\u03b5 \u03c4\u03bf R \u03c0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc \u03c4\u03bf training, \u03c3\u03c5\u03b3\u03ba\u03c1\u03af\u03bd\u03b5\u03c4\u03b5 real \u03ba\u03b1\u03b9 synthetic quantiles \u03ba\u03b1\u03b9 \u03b5\u03bb\u03ad\u03b3\u03be\u03c4\u03b5 \u03b1\u03bd \u03b7 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03c0\u03b1\u03c1\u03ac\u03b3\u03b5\u03b9 \u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03bf\u03bd \u03b5\u03c6\u03b9\u03ba\u03c4\u03cc \u03c7\u03ce\u03c1\u03bf \u03ae \u03bc\u03b5\u03c4\u03b1\u03ba\u03b9\u03bd\u03b5\u03af \u03bc\u03b1\u03b6\u03b9\u03ba\u03ac \u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03b1 \u03c0\u03ac\u03bd\u03c9 \u03c3\u03c4\u03bf boundary.<\/p>\n<\/div>\n<h2 id=\"hybrid-epilogi\">\u0393\u03b9\u03b1\u03c4\u03af \u03c7\u03c1\u03b5\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c5\u03b2\u03c1\u03b9\u03b4\u03b9\u03ba\u03ae \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae<\/h2>\n<p>\u039f\u03b9 \u03c3\u03c5\u03b3\u03b3\u03c1\u03b1\u03c6\u03b5\u03af\u03c2 \u03b4\u03b5\u03bd \u03c5\u03c0\u03bf\u03c3\u03c4\u03b7\u03c1\u03af\u03b6\u03bf\u03c5\u03bd \u03cc\u03c4\u03b9 \u03ba\u03ac\u03b8\u03b5 constraint \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 chart coordinate. \u0388\u03bd\u03b1 \u03c3\u03c5\u03bd\u03b5\u03c7\u03ad\u03c2 softplus increment \u03b4\u03b5\u03bd \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03b9\u03c3\u03c4\u03ac \u03ba\u03b1\u03bb\u03ac \u03ad\u03bd\u03b1 margin \u03bc\u03b5 \u03b4\u03b9\u03b1\u03ba\u03c1\u03b9\u03c4\u03ae \u03c3\u03b7\u03bc\u03b5\u03b9\u03b1\u03ba\u03ae \u03bc\u03ac\u03b6\u03b1, \u03cc\u03c0\u03c9\u03c2 \u03ad\u03bd\u03b1\u03bd \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03ae \u03bc\u03b9\u03b1 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae \u03bc\u03b5 \u03bb\u03af\u03b3\u03b5\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2. \u0393\u03b9\u03b1 \u03b1\u03c5\u03c4\u03cc \u03c0\u03c1\u03bf\u03c4\u03b5\u03af\u03bd\u03bf\u03c5\u03bd hybrid procedure: chart \u03b3\u03b9\u03b1 \u03c3\u03c5\u03c7\u03bd\u03ac \u03c0\u03b1\u03c1\u03b1\u03b2\u03b9\u03b1\u03b6\u03cc\u03bc\u03b5\u03bd\u03b5\u03c2 \u03c3\u03c5\u03bd\u03b5\u03c7\u03b5\u03af\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03ba\u03b1\u03b9 in-loop clamp \u03b3\u03b9\u03b1 \u03c4\u03b9\u03c2 \u03c5\u03c0\u03cc\u03bb\u03bf\u03b9\u03c0\u03b5\u03c2.<\/p>\n<p>\u0397 \u03b1\u03c0\u03cc\u03c6\u03b1\u03c3\u03b7 \u03b2\u03b1\u03c3\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03c3\u03cd\u03bd\u03c4\u03bf\u03bc\u03bf pre-run \u03b5\u03bd\u03cc\u03c2 \u03b5\u03bb\u03b5\u03cd\u03b8\u03b5\u03c1\u03bf\u03c5 generator. \u03a4\u03bf s<sub>i<\/sub> \u03bc\u03b5\u03c4\u03c1\u03ac \u03c4\u03bf \u03c0\u03bf\u03c3\u03bf\u03c3\u03c4\u03cc \u03c4\u03c9\u03bd \u03b4\u03b5\u03b9\u03b3\u03bc\u03ac\u03c4\u03c9\u03bd \u03c0\u03bf\u03c5 \u03ae\u03b4\u03b7 \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03b5\u03c0\u03b9\u03c4\u03c1\u03b5\u03c0\u03c4\u03cc \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1, \u03b5\u03bd\u03ce \u03c4\u03bf d<sub>i<\/sub> \u03b1\u03c0\u03bf\u03c4\u03c5\u03c0\u03ce\u03bd\u03b5\u03b9 \u03c4\u03b7 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03bc\u03af\u03b1\u03c2 \u03c4\u03b9\u03bc\u03ae\u03c2 \u03c3\u03c4\u03bf binding margin. \u03a3\u03c4\u03bf \u03c0\u03b5\u03af\u03c1\u03b1\u03bc\u03b1, \u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 charted \u03cc\u03c4\u03b1\u03bd s<sub>i<\/sub>&lt;0,9 \u03ba\u03b1\u03b9 d<sub>i<\/sub>\u22640,2\u0387 \u03b1\u03bb\u03bb\u03b9\u03ce\u03c2 \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03b6\u03b5\u03c4\u03b1\u03b9 clamp. \u0391\u03c5\u03c4\u03ac \u03b5\u03af\u03bd\u03b1\u03b9 thresholds \u03c4\u03b7\u03c2 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b7\u03c2 \u03bc\u03b5\u03b8\u03cc\u03b4\u03bf\u03c5, \u03cc\u03c7\u03b9 \u03ba\u03b1\u03b8\u03bf\u03bb\u03b9\u03ba\u03ac industry standards.<\/p>\n<p>\u03a3\u03c4\u03bf six-dataset benchmark \u03c4\u03bf\u03c5 constraint layer, \u03b7 hybrid \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03b5\u03af\u03c7\u03b5 \u03c4\u03c1\u03b5\u03b9\u03c2 \u03bd\u03af\u03ba\u03b5\u03c2, \u03c4\u03c1\u03b5\u03b9\u03c2 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b9\u03c3\u03bf\u03c0\u03b1\u03bb\u03af\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03ba\u03b1\u03bc\u03af\u03b1 \u03ae\u03c4\u03c4\u03b1, \u03bc\u03b5 100% validity. \u03a4\u03bf ablation \u03c0\u03bf\u03c5 \u03ad\u03ba\u03b1\u03bd\u03b5 chart \u03ba\u03ac\u03b8\u03b5 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae \u03ae\u03c4\u03b1\u03bd \u03c7\u03b5\u03b9\u03c1\u03cc\u03c4\u03b5\u03c1\u03bf \u03b1\u03c0\u03cc \u03c4\u03bf clamp \u03c3\u03b5 \u03cc\u03bb\u03b1 \u03c4\u03b1 datasets \u03b5\u03ba\u03c4\u03cc\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf high-R faults. \u03a4\u03bf \u03b5\u03cd\u03c1\u03b7\u03bc\u03b1 \u03b5\u03bd\u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03c4\u03b7 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ae \u03b1\u03c1\u03c7\u03ae: \u03bf \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03cc\u03c2 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c4\u03b1\u03b9\u03c1\u03b9\u03ac\u03b6\u03b5\u03b9 \u03c3\u03c4\u03b7 \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7 \u03b4\u03b9\u03b1\u03ba\u03c1\u03b9\u03c4\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 constraint.<\/p>\n<h2 id=\"peiramata-kai-metrikes\">\u03a4\u03b9 \u03ad\u03b4\u03b5\u03b9\u03be\u03b1\u03bd \u03c4\u03b1 \u03c0\u03b5\u03b9\u03c1\u03ac\u03bc\u03b1\u03c4\u03b1<\/h2>\n<p>\u0397 \u03ba\u03cd\u03c1\u03b9\u03b1 \u03c3\u03cd\u03b3\u03ba\u03c1\u03b9\u03c3\u03b7 \u03ad\u03b3\u03b9\u03bd\u03b5 \u03c3\u03c4\u03b1 Alchemy, tmQM, Transition1x \u03ba\u03b1\u03b9 Taxi. \u03a4\u03bf \u03b5\u03cd\u03c1\u03bf\u03c2 \u03c4\u03bf\u03c5 R \u03ae\u03c4\u03b1\u03bd \u03b1\u03c0\u03cc 3,6 \u03ad\u03c9\u03c2 7\u00d710<sup>6<\/sup>. \u039a\u03b1\u03b9 \u03bf\u03b9 \u03b4\u03cd\u03bf constrained \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03c0\u03ad\u03c4\u03c5\u03c7\u03b1\u03bd \u03b1\u03ba\u03c1\u03b9\u03b2\u03ae validity, \u03b1\u03bb\u03bb\u03ac \u03bc\u03cc\u03bd\u03bf \u03b7 FSG \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03ae\u03b3\u03b1\u03b3\u03b5 \u03ba\u03bf\u03bd\u03c4\u03ac \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03c4\u03bf\u03c5 margin \u03c3\u03c4\u03b1 high-resolution constraints.<\/p>\n<div class=\"td-chart td-chart--metrics\">\n<div class=\"td-chart-head\">\n<p class=\"td-chart-kicker\">FSG-LTN-GAN \u03ad\u03bd\u03b1\u03bd\u03c4\u03b9 constraint layer<\/p>\n<p class=\"td-chart-title\">\u03a4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b1 \u03c4\u03b5\u03ba\u03bc\u03b7\u03c1\u03b9\u03c9\u03bc\u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac\u03c2<\/p>\n<p class=\"td-chart-intro\">\u039f\u03b9 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b7\u03c2 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 \u03c3\u03b5 \u03b4\u03ad\u03ba\u03b1 seeds \u03ba\u03b1\u03b9 \u03b4\u03b5\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03bf\u03cd\u03bd \u03b5\u03b3\u03b3\u03cd\u03b7\u03c3\u03b7 \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 dataset \u03ae production pipeline.<\/p>\n<\/div>\n<div class=\"td-metric-grid\">\n<div class=\"td-metric-card\"><span class=\"td-metric-value\">100%<\/span><span class=\"td-metric-label\">Validity \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 C-DGM \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 FSG \u03c3\u03c4\u03b1 \u03c4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b1 \u03ba\u03cd\u03c1\u03b9\u03b1 datasets<\/span><\/div>\n<div class=\"td-metric-card\"><span class=\"td-metric-value\">0,574\u20131,000<\/span><span class=\"td-metric-label\">Margin KS \u03c4\u03bf\u03c5 constraint layer \u03b1\u03bd\u03ac dataset<\/span><\/div>\n<div class=\"td-metric-card\"><span class=\"td-metric-value\">0,040\u20130,099<\/span><span class=\"td-metric-label\">Margin KS \u03c4\u03bf\u03c5 FSG-LTN-GAN \u03b1\u03bd\u03ac dataset<\/span><\/div>\n<div class=\"td-metric-card\"><span class=\"td-metric-value\">\u03ad\u03c9\u03c2 25\u00d7<\/span><span class=\"td-metric-label\">\u039c\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b7 \u03b1\u03c0\u03cc\u03c3\u03c4\u03b1\u03c3\u03b7 KS \u03c0\u03bf\u03c5 \u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03bf\u03c5\u03bd \u03bf\u03b9 \u03c3\u03c5\u03b3\u03b3\u03c1\u03b1\u03c6\u03b5\u03af\u03c2<\/span><\/div>\n<\/div>\n<p class=\"td-chart-source\">\u03a0\u03b7\u03b3\u03ae: arXiv 2608.21605, Tables 1 \u03ba\u03b1\u03b9 5.<\/p>\n<\/div>\n<p>\u0397 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03b5\u03be\u03ad\u03c4\u03b1\u03c3\u03b5 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 CTGAN \u03ba\u03b1\u03b9 TVAE. \u038c\u03c4\u03b1\u03bd \u03c4\u03b1 unmodified backbones \u03b5\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03cd\u03c4\u03b7\u03ba\u03b1\u03bd \u03c0\u03ac\u03bd\u03c9 \u03c3\u03c4\u03b1 chart-encoded data \u03ba\u03b1\u03b9 \u03b1\u03c0\u03bf\u03ba\u03c9\u03b4\u03b9\u03ba\u03bf\u03c0\u03bf\u03b9\u03ae\u03b8\u03b7\u03ba\u03b1\u03bd \u03bc\u03ad\u03c3\u03c9 \u03c4\u03b7\u03c2 \u03af\u03b4\u03b9\u03b1\u03c2 \u03b1\u03c0\u03b5\u03b9\u03ba\u03cc\u03bd\u03b9\u03c3\u03b7\u03c2, \u03c0\u03b1\u03c1\u03ad\u03bc\u03b5\u03b9\u03bd\u03b1\u03bd 100% valid \u03ba\u03b1\u03b9 \u03b5\u03af\u03c7\u03b1\u03bd margin KS 3,6 \u03ad\u03c9\u03c2 8,6 \u03c6\u03bf\u03c1\u03ad\u03c2 \u03c7\u03b1\u03bc\u03b7\u03bb\u03cc\u03c4\u03b5\u03c1\u03bf \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03c2 \u03b5\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5 constraint layer. \u03a4\u03bf TVAE \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03af\u03b1\u03c3\u03b5 trade-off \u03c3\u03b5 ambient per-property moment error \u03c3\u03c4\u03b1 tmQM \u03ba\u03b1\u03b9 Transition1x, \u03c0\u03b1\u03c1\u03cc\u03c4\u03b9 \u03c4\u03bf margin KS \u03c0\u03b1\u03c1\u03ad\u03bc\u03b5\u03b9\u03bd\u03b5 \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf.<\/p>\n<p>\u03a3\u03b5 \u03c0\u03c1\u03bf\u03b5\u03b3\u03b3\u03b5\u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03bd\u03bf out-of-sample \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf \u03bc\u03b5 nycflights13, \u03bf\u03b9 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03ad\u03c2 \u03c5\u03c0\u03bf\u03bb\u03cc\u03b3\u03b9\u03c3\u03b1\u03bd \u03c0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b5\u03ba\u03c0\u03b1\u03af\u03b4\u03b5\u03c5\u03c3\u03b7 R=3,0\u00d710<sup>3<\/sup>. \u039c\u03b5 \u03b4\u03ad\u03ba\u03b1 seeds, \u03c4\u03bf C-DGM \u03c0\u03ad\u03c4\u03c5\u03c7\u03b5 validity 1,000 \u03ba\u03b1\u03b9 margin KS 1,000, \u03b5\u03bd\u03ce \u03c4\u03bf FSG-LTN-GAN validity 1,000 \u03ba\u03b1\u03b9 margin KS 0,086\u00b10,011. \u039f \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf\u03c2 \u03b5\u03bd\u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03b3\u03bd\u03c9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b1\u03be\u03af\u03b1 \u03c4\u03bf\u03c5 R \u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03b1 \u03cc\u03c1\u03b9\u03b1 \u03c4\u03b7\u03c2 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7\u03c2.<\/p>\n<h2 id=\"audit-framework\">Audit framework \u03b3\u03b9\u03b1 data \u03ba\u03b1\u03b9 AI governance<\/h2>\n<p>\u039c\u03b9\u03b1 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03c0\u03bf\u03c5 \u03b1\u03be\u03b9\u03bf\u03bb\u03bf\u03b3\u03b5\u03af synthetic data \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03c4\u03c1\u03ad\u03c8\u03b5\u03b9 \u03c4\u03bf paper \u03c3\u03b5 \u03b5\u03bb\u03b5\u03b3\u03ba\u03c4\u03b9\u03ba\u03ae \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1. \u03a0\u03c1\u03ce\u03c4\u03b1 \u03ba\u03b1\u03c4\u03b1\u03b3\u03c1\u03ac\u03c6\u03b5\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b5\u03c2: orderings, positivity \u03ba\u03b1\u03b9 definitional identities. \u0388\u03c0\u03b5\u03b9\u03c4\u03b1 \u03bf\u03c1\u03af\u03b6\u03b5\u03b9 \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03b1\u03bd\u03b9\u03c3\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf margin \u03c0\u03bf\u03c5 \u03ad\u03c7\u03b5\u03b9 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae \u03ae \u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03bf\u03bd\u03b9\u03ba\u03ae \u03c3\u03b7\u03bc\u03b1\u03c3\u03af\u03b1 \u03ba\u03b1\u03b9 \u03bc\u03b5\u03c4\u03c1\u03ac \u03c4\u03cc\u03c3\u03bf \u03c4\u03b7 validity \u03cc\u03c3\u03bf \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03bd\u03bf\u03bc\u03ae \u03c4\u03bf\u03c5 margin.<\/p>\n<p>\u03a4\u03bf \u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03bf \u03b2\u03ae\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\u03c2 \u03c4\u03bf\u03c5 R \u03c3\u03c4\u03b1 raw data. \u0388\u03bd\u03b1 \u03c5\u03c8\u03b7\u03bb\u03cc R \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af \u03c3\u03ae\u03bc\u03b1 \u03b3\u03b9\u03b1 \u03b1\u03c5\u03be\u03b7\u03bc\u03ad\u03bd\u03bf \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf, \u03cc\u03c7\u03b9 \u03b1\u03c5\u03c4\u03cc\u03bc\u03b1\u03c4\u03b7 \u03b1\u03c0\u03cc\u03c6\u03b1\u03c3\u03b7 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae\u03c2 \u03ae \u03b1\u03c0\u03cc\u03c1\u03c1\u03b9\u03c8\u03b7\u03c2 \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf\u03c5. \u0397 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03c3\u03c5\u03b3\u03ba\u03c1\u03af\u03bd\u03b5\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bd\u03b8\u03b5\u03c4\u03b9\u03ba\u03ac quantiles, \u03b5\u03bb\u03ad\u03b3\u03c7\u03b5\u03b9 \u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ad\u03c2 \u03bc\u03ac\u03b6\u03b5\u03c2 \u03c3\u03c4\u03bf boundary \u03ba\u03b1\u03b9 \u03ba\u03c1\u03b1\u03c4\u03ac \u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03ac marginal fidelity, coverage, density \u03ba\u03b1\u03b9 downstream utility.<\/p>\n<p>\u03a4\u03ad\u03bb\u03bf\u03c2, \u03c7\u03c1\u03b5\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 traceability: \u03c0\u03bf\u03b9\u03bf\u03c2 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1\u03c2 \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03c3\u03c4\u03b7\u03ba\u03b5, \u03c0\u03bf\u03b9\u03b1 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae \u03ad\u03b3\u03b9\u03bd\u03b5 \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ad\u03bd\u03b7, \u03c0\u03bf\u03b9\u03b1 \u03ae\u03c4\u03b1\u03bd \u03b7 \u03c3\u03b5\u03b9\u03c1\u03ac elimination, \u03c0\u03bf\u03b9\u03bf \u03ae\u03c4\u03b1\u03bd \u03c4\u03bf R \u03ba\u03b1\u03b9 \u03c0\u03bf\u03b9\u03bf\u03c2 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03cc\u03c2 \u03b5\u03c0\u03b9\u03bb\u03ad\u03c7\u03b8\u03b7\u03ba\u03b5. \u0391\u03c5\u03c4\u03ae \u03b7 \u03bb\u03bf\u03b3\u03b9\u03ba\u03ae \u03c3\u03c5\u03bd\u03b4\u03ad\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03b7\u03bd <a href=\"https:\/\/twodots.gr\/data-silos-audit-trail-smart-manufacturing\/\">\u03b1\u03c1\u03c7\u03b9\u03c4\u03b5\u03ba\u03c4\u03bf\u03bd\u03b9\u03ba\u03ae audit trail \u03b1\u03c0\u03cc \u03ba\u03b1\u03c4\u03b1\u03ba\u03b5\u03c1\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03ad\u03bd\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1<\/a> \u03ba\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03b1 <a href=\"https:\/\/twodots.gr\/enterprise-ai-harnesses-diakyvernisi-architektoniki\/\">enterprise AI harnesses \u03c0\u03bf\u03c5 \u03b5\u03bd\u03c3\u03c9\u03bc\u03b1\u03c4\u03ce\u03bd\u03bf\u03c5\u03bd \u03c4\u03b7 \u03b4\u03b9\u03b1\u03ba\u03c5\u03b2\u03ad\u03c1\u03bd\u03b7\u03c3\u03b7 \u03c3\u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03b9\u03c4\u03b5\u03ba\u03c4\u03bf\u03bd\u03b9\u03ba\u03ae<\/a>.<\/p>\n<h2 id=\"epicheirimatikes-metrikes\">\u039f\u03b9 \u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ad\u03c2 \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b5\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03b5\u03c0\u03b9\u03c7\u03b5\u03af\u03c1\u03b7\u03c3\u03b7<\/h2>\n<p>\u0397 validity \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03bd\u03b5\u03b9 \u03b1\u03c0\u03b1\u03c1\u03b1\u03af\u03c4\u03b7\u03c4\u03b7, \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \u03b5\u03c0\u03b9\u03b2\u03b5\u03b2\u03b1\u03b9\u03ce\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03b4\u03b5\u03bd \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c0\u03b1\u03c1\u03ac\u03bd\u03bf\u03bc\u03b5\u03c2 \u03b5\u03b3\u03b3\u03c1\u03b1\u03c6\u03ad\u03c2. \u0394\u03b5\u03bd \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03cc\u03bc\u03c9\u03c2 \u03bd\u03b1 \u03c3\u03c5\u03b3\u03c7\u03c9\u03bd\u03b5\u03cd\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03b1\u03b4\u03b9\u03b1\u03c6\u03b1\u03bd\u03ad\u03c2 \u00abquality score\u00bb \u03bc\u03b5 \u03c4\u03b7 fidelity. \u039f\u03b9 \u03b4\u03cd\u03bf \u03b5\u03c1\u03c9\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2: \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03bf \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1\u03c2 \u03ba\u03b1\u03b9, \u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03ac, \u03b4\u03b9\u03b1\u03c4\u03b7\u03c1\u03b5\u03af\u03c4\u03b1\u03b9 \u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03c4\u03b7\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b7\u03c2 \u03c0\u03bf\u03c5 \u03b5\u03ba\u03c6\u03c1\u03ac\u03b6\u03b5\u03b9;<\/p>\n<p>\u0397 \u03b1\u03be\u03b9\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7 \u03c7\u03c1\u03b5\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 downstream tests. \u0391\u03bd \u03c4\u03b1 synthetic data \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 forecasting, segmentation \u03ae anomaly detection, \u03b7 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c3\u03c5\u03b3\u03ba\u03c1\u03af\u03bd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03c0\u03cc\u03b4\u03bf\u03c3\u03b7 \u03c3\u03b5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc holdout, \u03bd\u03b1 \u03c0\u03b1\u03c1\u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03b5\u03af \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1\u03c4\u03b1 \u03b1\u03bd\u03ac \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03bf segment \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03bb\u03ad\u03b3\u03c7\u03b5\u03b9 \u03b1\u03bd \u03ad\u03bd\u03b1 boundary pile-up \u03b1\u03bb\u03bb\u03ac\u03b6\u03b5\u03b9 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ad\u03c2 \u03b1\u03c0\u03bf\u03c6\u03ac\u03c3\u03b5\u03b9\u03c2. \u039f\u03b9 <a href=\"https:\/\/twodots.gr\/analytics-platforms-data-decisions\/\">analytics \u03c0\u03bb\u03b1\u03c4\u03c6\u03cc\u03c1\u03bc\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03bc\u03b5\u03c4\u03b1\u03c4\u03c1\u03ad\u03c0\u03bf\u03c5\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03c3\u03b5 \u03b1\u03c0\u03bf\u03c6\u03ac\u03c3\u03b5\u03b9\u03c2<\/a> \u03ad\u03c7\u03bf\u03c5\u03bd \u03b1\u03be\u03af\u03b1 \u03bc\u03cc\u03bd\u03bf \u03cc\u03c4\u03b1\u03bd \u03bf\u03b9 \u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ad\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03cd\u03bd \u03c3\u03c4\u03bf \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc use case.<\/p>\n<p>\u0397 \u03c0\u03c1\u03bf\u03c3\u03c4\u03b1\u03c3\u03af\u03b1 \u03b9\u03b4\u03b9\u03c9\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03be\u03b5\u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03ae \u03b4\u03b9\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7. \u0388\u03bd\u03b1 dataset \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03ba\u03b1\u03bb\u03ae validity \u03ba\u03b1\u03b9 margin fidelity \u03b1\u03bb\u03bb\u03ac \u03bd\u03b1 \u03b4\u03b9\u03b1\u03c1\u03c1\u03ad\u03b5\u03b9 \u03b5\u03c5\u03b1\u03af\u03c3\u03b8\u03b7\u03c4\u03b1 patterns \u03ae \u03bd\u03b1 \u03bc\u03b7\u03bd \u03c0\u03b1\u03c1\u03ad\u03c7\u03b5\u03b9 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b4\u03b5\u03b9\u03b3\u03bc\u03ad\u03bd\u03b7 privacy guarantee. \u0391\u03bd\u03c4\u03af\u03c3\u03c4\u03c1\u03bf\u03c6\u03b1, \u03b9\u03c3\u03c7\u03c5\u03c1\u03ae privacy \u03c0\u03c1\u03bf\u03c3\u03c4\u03b1\u03c3\u03af\u03b1 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9 utility. \u0397 \u03b1\u03be\u03b9\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03ba\u03c1\u03b1\u03c4\u03ac \u03b1\u03c5\u03c4\u03ac \u03c4\u03b1 trade-offs \u03bf\u03c1\u03b1\u03c4\u03ac, \u03cc\u03c0\u03c9\u03c2 \u03b1\u03ba\u03c1\u03b9\u03b2\u03ce\u03c2 \u03ad\u03bd\u03b1\u03c2 <a href=\"https:\/\/twodots.gr\/dpo-preference-data-audit-llm\/\">\u03ad\u03bb\u03b5\u03b3\u03c7\u03bf\u03c2 \u03c4\u03c9\u03bd training data \u03c0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b5\u03ba\u03c0\u03b1\u03af\u03b4\u03b5\u03c5\u03c3\u03b7<\/a> \u03ba\u03c1\u03b1\u03c4\u03ac \u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03ac \u03c4\u03b7\u03bd \u03c0\u03bf\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1, \u03c4\u03b7\u03bd \u03ba\u03ac\u03bb\u03c5\u03c8\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03bd \u03ba\u03af\u03bd\u03b4\u03c5\u03bd\u03bf.<\/p>\n<h2 id=\"epta-vimata\">\u0395\u03c0\u03c4\u03ac \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b3\u03b9\u03b1 \u03b1\u03be\u03b9\u03cc\u03c0\u03b9\u03c3\u03c4\u03b1 synthetic-data pipelines<\/h2>\n<p>\u0397 \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03b9\u03ba\u03ae \u03c5\u03b9\u03bf\u03b8\u03ad\u03c4\u03b7\u03c3\u03b7 \u03b4\u03b5\u03bd \u03b1\u03c0\u03b1\u03b9\u03c4\u03b5\u03af \u03c4\u03c5\u03c6\u03bb\u03ae \u03b1\u03bd\u03c4\u03b9\u03b3\u03c1\u03b1\u03c6\u03ae \u03c4\u03bf\u03c5 FSG-LTN-GAN. \u0391\u03c0\u03b1\u03b9\u03c4\u03b5\u03af \u03bc\u03b9\u03b1 \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03ae\u03c8\u03b9\u03bc\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03c0\u03bf\u03c5 \u03c3\u03c5\u03bd\u03b4\u03ad\u03b5\u03b9 \u03ba\u03ac\u03b8\u03b5 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1 \u03bc\u03b5 \u03c4\u03b7 \u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ae, \u03c4\u03bf\u03bd \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03cc \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b1\u03c0\u03cc\u03c6\u03b1\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03b5\u03c0\u03b7\u03c1\u03b5\u03ac\u03b6\u03b5\u03b9.<\/p>\n<div class=\"td-step-list\">\n<p class=\"td-step-list-title\">\u0395\u03c0\u03c4\u03ac \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf\u03b9 \u03c0\u03c1\u03b9\u03bd \u03b5\u03bc\u03c0\u03b9\u03c3\u03c4\u03b5\u03c5\u03c4\u03b5\u03af\u03c4\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03c5\u03bd\u03b8\u03b5\u03c4\u03b9\u03ba\u03cc dataset<\/p>\n<ol>\n<li><span class=\"td-step-kicker\">\u0421\u0442\u044a\u043f\u043a\u0430 1<\/span><strong>\u039a\u03b1\u03c4\u03b1\u03b3\u03c1\u03ac\u03c8\u03c4\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03b4\u03bf\u03bc\u03b9\u03ba\u03bf\u03cd\u03c2 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b5\u03c2<\/strong>\n<p>\u039f\u03c1\u03af\u03c3\u03c4\u03b5 orderings, positivity, identities \u03ba\u03b1\u03b9 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ac \u03cc\u03c1\u03b9\u03b1 \u03bc\u03b5 \u03c3\u03b1\u03c6\u03b5\u03af\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2, \u03bc\u03bf\u03bd\u03ac\u03b4\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03b9\u03b4\u03b9\u03bf\u03ba\u03c4\u03ae\u03c4\u03b7 \u03c4\u03bf\u03c5 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1.<\/p>\n<\/li>\n<li><span class=\"td-step-kicker\">\u0421\u0442\u044a\u043f\u043a\u0430 2<\/span><strong>\u039f\u03c1\u03af\u03c3\u03c4\u03b5 \u03c4\u03bf margin \u03ba\u03ac\u03b8\u03b5 \u03b1\u03bd\u03b9\u03c3\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2<\/strong>\n<p>\u039c\u03b5\u03c4\u03b1\u03c4\u03c1\u03ad\u03c8\u03c4\u03b5 \u03c4\u03bf \u00ab\u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03ae \u03cc\u03c7\u03b9\u00bb \u03c3\u03b5 \u03bc\u03b5\u03c4\u03c1\u03ae\u03c3\u03b9\u03bc\u03b7 \u03b1\u03c0\u03cc\u03c3\u03c4\u03b1\u03c3\u03b7 \u03b1\u03c0\u03cc \u03c4\u03bf \u03cc\u03c1\u03b9\u03bf \u03ba\u03b1\u03b9 \u03b5\u03be\u03b7\u03b3\u03ae\u03c3\u03c4\u03b5 \u03c4\u03b9 \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03b1\u03c5\u03c4\u03ae \u03b7 \u03b1\u03c0\u03cc\u03c3\u03c4\u03b1\u03c3\u03b7 \u03b3\u03b9\u03b1 \u03c4\u03bf \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc workflow.<\/p>\n<\/li>\n<li><span class=\"td-step-kicker\">\u0421\u0442\u044a\u043f\u043a\u0430 3<\/span><strong>\u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03bf R \u03c3\u03c4\u03b1 raw data<\/strong>\n<p>\u039c\u03b5\u03c4\u03c1\u03ae\u03c3\u03c4\u03b5 \u03c4\u03b7\u03bd \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1 \u03c4\u03c9\u03bd \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ce\u03bd features \u03c3\u03b5 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03c3\u03c0\u03bf\u03c1\u03ac \u03c4\u03bf\u03c5 margin \u03c0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc standardization \u03ba\u03b1\u03b9 \u03c0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc \u03c4\u03bf training.<\/p>\n<\/li>\n<li><span class=\"td-step-kicker\">\u0421\u0442\u044a\u043f\u043a\u0430 4<\/span><strong>\u0395\u03c0\u03b9\u03bb\u03ad\u03be\u03c4\u03b5 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03cc \u03b1\u03bd\u03ac constraint<\/strong>\n<p>\u0395\u03be\u03b5\u03c4\u03ac\u03c3\u03c4\u03b5 chart \u03b3\u03b9\u03b1 high-R \u03c3\u03c5\u03bd\u03b5\u03c7\u03b5\u03af\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b9 clamp \u03b3\u03b9\u03b1 \u03c7\u03b1\u03bc\u03b7\u03bb\u03bf\u03cd R \u03ae \u03b4\u03b9\u03b1\u03ba\u03c1\u03b9\u03c4\u03ac margins, \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03c4\u03c1\u03ad\u03c0\u03b5\u03c4\u03b5 \u03c4\u03b1 thresholds \u03c4\u03bf\u03c5 paper \u03c3\u03b5 \u03ba\u03b1\u03b8\u03bf\u03bb\u03b9\u03ba\u03cc \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1.<\/p>\n<\/li>\n<li><span class=\"td-step-kicker\">\u0421\u0442\u044a\u043f\u043a\u0430 5<\/span><strong>\u039c\u03b5\u03c4\u03c1\u03ae\u03c3\u03c4\u03b5 validity \u03ba\u03b1\u03b9 fidelity \u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03ac<\/strong>\n<p>\u0391\u03bd\u03b1\u03c6\u03ad\u03c1\u03b5\u03c4\u03b5 constraint validity, margin KS, quantiles \u03ba\u03b1\u03b9 boundary concentration \u03bc\u03b1\u03b6\u03af \u03bc\u03b5 per-feature, density \u03ba\u03b1\u03b9 coverage metrics.<\/p>\n<\/li>\n<li><span class=\"td-step-kicker\">\u0421\u0442\u044a\u043f\u043a\u0430 6<\/span><strong>\u0394\u03bf\u03ba\u03b9\u03bc\u03ac\u03c3\u03c4\u03b5 \u03c4\u03bf downstream use case<\/strong>\n<p>\u03a3\u03c5\u03b3\u03ba\u03c1\u03af\u03bd\u03b5\u03c4\u03b5 forecasting, classification \u03ae analytics \u03c3\u03b5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc holdout \u03ba\u03b1\u03b9 \u03b5\u03bb\u03ad\u03b3\u03be\u03c4\u03b5 \u03c4\u03b1 segments \u03cc\u03c0\u03bf\u03c5 \u03b7 \u03c0\u03b1\u03c1\u03b1\u03bc\u03cc\u03c1\u03c6\u03c9\u03c3\u03b7 \u03c4\u03bf\u03c5 margin \u03b1\u03bb\u03bb\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03c0\u03cc\u03c6\u03b1\u03c3\u03b7.<\/p>\n<\/li>\n<li><span class=\"td-step-kicker\">\u0421\u0442\u044a\u043f\u043a\u0430 7<\/span><strong>\u039a\u03c1\u03b1\u03c4\u03ae\u03c3\u03c4\u03b5 audit trail \u03ba\u03b1\u03b9 rollback<\/strong>\n<p>\u0391\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03cd\u03c3\u03c4\u03b5 dataset version, seeds, constraints, R, transformations, thresholds, \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c5\u03c0\u03b5\u03cd\u03b8\u03c5\u03bd\u03bf \u03ad\u03b3\u03ba\u03c1\u03b9\u03c3\u03b7\u03c2 \u03ce\u03c3\u03c4\u03b5 \u03ba\u03ac\u03b8\u03b5 synthetic release \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03b1\u03b3\u03ce\u03b3\u03b9\u03bc\u03bf.<\/p>\n<\/li>\n<\/ol>\n<\/div>\n<p>\u03a4\u03b1 \u03af\u03b4\u03b9\u03b1 \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b9\u03c3\u03c7\u03cd\u03bf\u03c5\u03bd \u03b5\u03af\u03c4\u03b5 \u03c4\u03bf dataset \u03c4\u03c1\u03bf\u03c6\u03bf\u03b4\u03bf\u03c4\u03b5\u03af scientific model \u03b5\u03af\u03c4\u03b5 business analytics. \u0393\u03b9\u03b1 domain shift \u03ba\u03b1\u03b9 \u03b5\u03bb\u03bb\u03b9\u03c0\u03b5\u03af\u03c2 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03b5\u03b9\u03c2, \u03b7 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7 \u03c4\u03bf\u03c5 <a href=\"https:\/\/twodots.gr\/synthetika-dedomena-doryforiko-internet-gt-gan\/\">GT-GAN \u03c3\u03b5 \u03c3\u03c5\u03bd\u03b8\u03b5\u03c4\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03bc\u03b5 \u03b1\u03c0\u03ce\u03bb\u03b5\u03b9\u03b1 \u03bc\u03b5\u03c4\u03c1\u03ae\u03c3\u03b5\u03c9\u03bd<\/a> \u03b4\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u03b3\u03b9\u03b1\u03c4\u03af \u03b7 \u03b1\u03be\u03b9\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9 \u03c4\u03b7 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b7 \u03c3\u03c5\u03bd\u03b8\u03ae\u03ba\u03b7 \u03c3\u03c4\u03b7\u03bd \u03bf\u03c0\u03bf\u03af\u03b1 \u03b8\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03b5\u03af \u03c4\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf.<\/p>\n<h2 id=\"oria-erevnas\">\u03a4\u03b1 \u03cc\u03c1\u03b9\u03b1 \u03c4\u03b7\u03c2 \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1\u03c2<\/h2>\n<p>\u03a4\u03bf chart \u03c4\u03b7\u03c2 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 \u03ba\u03b1\u03bb\u03cd\u03c0\u03c4\u03b5\u03b9 \u03c4\u03bf \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc fragment, \u03cc\u03c0\u03bf\u03c5 \u03c4\u03bf Fourier\u2013Motzkin reduction \u03b4\u03af\u03bd\u03b5\u03b9 \u03b5\u03c0\u03b9\u03c4\u03c1\u03b5\u03c0\u03c4\u03ac \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1. \u039c\u03b7 \u03ba\u03c5\u03c1\u03c4\u03bf\u03af \u03b5\u03c6\u03b9\u03ba\u03c4\u03bf\u03af \u03c7\u03ce\u03c1\u03bf\u03b9 \u03b1\u03c0\u03cc \u03bc\u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03bf\u03cd\u03c2 \u03ae \u03b4\u03b9\u03b1\u03b6\u03b5\u03c5\u03ba\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 constraints \u03bc\u03ad\u03bd\u03bf\u03c5\u03bd \u03b3\u03b9\u03b1 \u03bc\u03b5\u03bb\u03bb\u03bf\u03bd\u03c4\u03b9\u03ba\u03ae \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1. \u03a4\u03b1 \u03b4\u03b9\u03b1\u03ba\u03c1\u03b9\u03c4\u03ac margins \u03b1\u03bd\u03c4\u03b9\u03bc\u03b5\u03c4\u03c9\u03c0\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 hybrid clamp \u03ba\u03b1\u03b9 \u03cc\u03c7\u03b9 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03c3\u03c5\u03bd\u03b5\u03c7\u03ae \u03b1\u03c0\u03b5\u03b9\u03ba\u03cc\u03bd\u03b9\u03c3\u03b7.<\/p>\n<p>\u03a4\u03b1 \u03c0\u03b5\u03b9\u03c1\u03ac\u03bc\u03b1\u03c4\u03b1 \u03b5\u03c0\u03b9\u03ba\u03b5\u03bd\u03c4\u03c1\u03ce\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b1 tabular \u03ba\u03b1\u03b9 scientific datasets \u03ba\u03b1\u03b9 \u03c3\u03b5 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b5\u03c2 \u03bf\u03b9\u03ba\u03bf\u03b3\u03ad\u03bd\u03b5\u03b9\u03b5\u03c2 generators. \u0394\u03b5\u03bd \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03ba\u03bd\u03cd\u03bf\u03c5\u03bd \u03cc\u03c4\u03b9 \u03ba\u03ac\u03b8\u03b5 \u03b5\u03bc\u03c0\u03bf\u03c1\u03b9\u03ba\u03cc synthetic-data \u03c0\u03c1\u03bf\u03ca\u03cc\u03bd \u03ad\u03c7\u03b5\u03b9 \u03c4\u03bf \u03af\u03b4\u03b9\u03bf failure mode \u03bf\u03cd\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03bf FSG \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03c4\u03bf\u03b9\u03bc\u03b7 \u03b1\u03bd\u03c4\u03b9\u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 production stack. \u0391\u03c0\u03bf\u03b4\u03b5\u03b9\u03ba\u03bd\u03cd\u03bf\u03c5\u03bd \u03cc\u03bc\u03c9\u03c2 \u03cc\u03c4\u03b9 \u03b7 \u03b5\u03b3\u03ba\u03c5\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03c0\u03bf\u03ba\u03c1\u03cd\u03c8\u03b5\u03b9 \u03b1\u03c0\u03ce\u03bb\u03b5\u03b9\u03b1 \u03c4\u03b7\u03c2 margin distribution \u03ba\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03b1\u03c5\u03c4\u03ae \u03b7 \u03b1\u03c0\u03ce\u03bb\u03b5\u03b9\u03b1 \u03bc\u03b5\u03c4\u03c1\u03b9\u03ad\u03c4\u03b1\u03b9.<\/p>\n<aside class=\"td-article-note\"><strong>\u038c\u03c1\u03b9\u03bf \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae\u03c2:<\/strong> \u03c4\u03bf 100% validity \u03c4\u03b7\u03c2 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 \u03b1\u03c6\u03bf\u03c1\u03ac \u03c4\u03bf\u03c5\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03bf\u03cd\u03c2 constraints \u03ba\u03b1\u03b9 \u03c4\u03b9\u03c2 \u03c0\u03b5\u03b9\u03c1\u03b1\u03bc\u03b1\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c5\u03bb\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03be\u03b9\u03bf\u03bb\u03bf\u03b3\u03ae\u03b8\u03b7\u03ba\u03b1\u03bd. \u0394\u03b5\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af \u03c0\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 privacy, fairness, \u03b1\u03c3\u03c6\u03ac\u03bb\u03b5\u03b9\u03b1\u03c2 \u03ae \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae\u03c2 \u03ba\u03b1\u03c4\u03b1\u03bb\u03bb\u03b7\u03bb\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2.<\/aside>\n<p>\u03a4\u03bf NIST AI RMF \u03b1\u03bd\u03c4\u03b9\u03bc\u03b5\u03c4\u03c9\u03c0\u03af\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03be\u03b9\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7 \u03c9\u03c2 \u03c3\u03c5\u03bd\u03b5\u03c7\u03ae \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 governance, mapping, measurement \u03ba\u03b1\u03b9 management. \u03a3\u03b5 synthetic-data pipeline \u03b1\u03c5\u03c4\u03cc \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03bf technical benchmark \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c3\u03c5\u03bd\u03b4\u03ad\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 risk owners, \u03c4\u03b5\u03ba\u03bc\u03b7\u03c1\u03b9\u03c9\u03bc\u03ad\u03bd\u03b5\u03c2 \u03b1\u03c0\u03bf\u03b4\u03bf\u03c7\u03ad\u03c2 \u03ba\u03b9\u03bd\u03b4\u03cd\u03bd\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03ba\u03bf\u03bb\u03bf\u03cd\u03b8\u03b7\u03c3\u03b7 \u03bc\u03b5\u03c4\u03ac \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7.<\/p>\n<h2 id=\"symperasma\">\u0391\u03c0\u03cc \u03c4\u03bf 100% valid \u03c3\u03b5 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03b9\u03c2 \u03c0\u03bf\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2<\/h2>\n<p>\u0397 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03b1\u03be\u03af\u03b1 \u03c4\u03bf\u03c5 FSG-LTN-GAN \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03b1\u03bb\u03bb\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b5\u03c1\u03ce\u03c4\u03b7\u03c3\u03b7. \u0391\u03bd\u03c4\u03af \u03bd\u03b1 \u03c1\u03c9\u03c4\u03ac \u03bc\u03cc\u03bd\u03bf \u03b1\u03bd \u03ba\u03ac\u03b8\u03b5 \u03b4\u03b5\u03af\u03b3\u03bc\u03b1 \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7 \u03c3\u03c9\u03c3\u03c4\u03ae \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac \u03bc\u03b9\u03b1\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae\u03c2, \u03c1\u03c9\u03c4\u03ac \u03b1\u03bd \u03c4\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03ad\u03bc\u03b1\u03b8\u03b5 \u03c0\u03ce\u03c2 \u03ba\u03b1\u03c4\u03b1\u03bd\u03ad\u03bc\u03b5\u03c4\u03b1\u03b9 \u03b7 \u03b1\u03c0\u03cc\u03c3\u03c4\u03b1\u03c3\u03b7 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae. \u03a4\u03bf chart \u03ba\u03ac\u03bd\u03b5\u03b9 \u03c4\u03b7 \u03bc\u03b9\u03ba\u03c1\u03ae \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03bf\u03c1\u03b1\u03c4\u03ae \u03c3\u03c4\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03ba\u03b1\u03b9 \u03c0\u03b1\u03c1\u03ac\u03b3\u03b5\u03b9 \u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03bf\u03bd \u03b5\u03c6\u03b9\u03ba\u03c4\u03cc \u03c7\u03ce\u03c1\u03bf, \u03b5\u03bd\u03ce \u03c4\u03bf R \u03b4\u03af\u03bd\u03b5\u03b9 \u03c0\u03c1\u03bf\u03b5\u03b9\u03b4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c0\u03c1\u03b9\u03bd \u03ba\u03b1\u03c4\u03b1\u03bd\u03b1\u03bb\u03c9\u03b8\u03b5\u03af \u03c4\u03bf training budget.<\/p>\n<p>\u0393\u03b9\u03b1 e-commerce, marketing \u03ba\u03b1\u03b9 business teams \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd synthetic datasets, \u03b7 \u03c0\u03b9\u03bf \u03c7\u03c1\u03ae\u03c3\u03b9\u03bc\u03b7 \u03b1\u03c0\u03b1\u03af\u03c4\u03b7\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 relation-level validation. \u03a0\u03bf\u03b9\u03b1 \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03ae \u03c4\u03b1\u03c5\u03c4\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b4\u03b9\u03b1\u03c4\u03b7\u03c1\u03b5\u03af\u03c4\u03b1\u03b9; \u039c\u03b5 \u03c0\u03bf\u03b9\u03b1 \u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ae; \u03a5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c3\u03c5\u03c3\u03c3\u03ce\u03c1\u03b5\u03c5\u03c3\u03b7 \u03c3\u03c4\u03bf boundary; \u03a0\u03ce\u03c2 \u03b5\u03c0\u03b7\u03c1\u03b5\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c4\u03bf \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc downstream task; \u039f\u03b9 \u03b1\u03c0\u03b1\u03bd\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2 \u03be\u03b5\u03c7\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bd \u03ad\u03bd\u03b1 dataset \u03c0\u03bf\u03c5 \u03b1\u03c0\u03bb\u03ce\u03c2 \u03c0\u03b5\u03c1\u03bd\u03ac \u03ba\u03b1\u03bd\u03cc\u03bd\u03b5\u03c2 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 dataset \u03c0\u03bf\u03c5 \u03b4\u03b9\u03b1\u03c4\u03b7\u03c1\u03b5\u03af \u03c4\u03b7 \u03b4\u03bf\u03bc\u03ae \u03c4\u03b7\u03c2 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c0\u03bf\u03c5 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03b9\u03ce\u03c3\u03b5\u03b9.<\/p>\n<section class=\"td-service-cta\">\n<div class=\"td-service-cta-content\">\n<p class=\"td-service-cta-kicker\">\u0391\u03c0\u03cc \u03c4\u03bf synthetic-data experiment \u03c3\u03b5 \u03b5\u03bb\u03b5\u03b3\u03c7\u03cc\u03bc\u03b5\u03bd\u03b7 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae \u03c1\u03bf\u03ae<\/p>\n<p class=\"td-service-cta-title\">\u03a3\u03c7\u03b5\u03b4\u03b9\u03ac\u03c3\u03c4\u03b5 AI \u03b1\u03c5\u03c4\u03bf\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2 \u03bc\u03b5 \u03bc\u03b5\u03c4\u03c1\u03ae\u03c3\u03b9\u03bc\u03b7 \u03c0\u03bf\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03ba\u03b1\u03b9 audit trail<\/p>\n<p>\u0397 TWO DOTS \u03c7\u03b1\u03c1\u03c4\u03bf\u03b3\u03c1\u03b1\u03c6\u03b5\u03af constraints, data quality checks, downstream acceptance criteria, human approvals \u03ba\u03b1\u03b9 rollback \u03ce\u03c3\u03c4\u03b5 \u03c4\u03b1 \u03c3\u03c5\u03bd\u03b8\u03b5\u03c4\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03bd\u03b1 \u03c5\u03c0\u03bf\u03c3\u03c4\u03b7\u03c1\u03af\u03b6\u03bf\u03c5\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b1\u03c0\u03bf\u03c6\u03ac\u03c3\u03b5\u03b9\u03c2 \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03ba\u03c1\u03cd\u03b2\u03bf\u03c5\u03bd \u03c4\u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03b1\u03bd\u03ac\u03bc\u03b5\u03c3\u03b1 \u03c3\u03b5 validity \u03ba\u03b1\u03b9 fidelity.<\/p>\n<div class=\"td-service-cta-actions\"><a class=\"td-service-cta-button\" href=\"https:\/\/twodots.gr\/aftomatismoi-epicheiriseon-ai\/\">\u03a3\u03c5\u03b6\u03b7\u03c4\u03ae\u03c3\u03c4\u03b5 \u03ad\u03bd\u03b1\u03bd \u03b5\u03bb\u03b5\u03b3\u03c7\u03cc\u03bc\u03b5\u03bd\u03bf AI \u03b1\u03c5\u03c4\u03bf\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc<\/a><\/div>\n<\/div>\n<\/section>\n<section id=\"sychnes-erotiseis\" class=\"td-faq-section\">\n<div class=\"td-faq\">\n<p class=\"td-faq-heading\">\u0427\u0435\u0441\u0442\u043e \u0437\u0430\u0434\u0430\u0432\u0430\u043d\u0438 \u0432\u044a\u043f\u0440\u043e\u0441\u0438<\/p>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 hard constraint \u03c3\u03c4\u03b1 \u03c3\u03c5\u03bd\u03b8\u03b5\u03c4\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u0395\u03af\u03bd\u03b1\u03b9 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1\u03c2 \u03c0\u03bf\u03c5 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03c3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03c0\u03b1\u03c1\u03b1\u03b3\u03cc\u03bc\u03b5\u03bd\u03bf \u03b4\u03b5\u03af\u03b3\u03bc\u03b1, \u03cc\u03c0\u03c9\u03c2 \u03bc\u03b9\u03b1 \u03b4\u03b9\u03ac\u03c4\u03b1\u03be\u03b7 \u03c4\u03b9\u03bc\u03ce\u03bd, \u03b7 \u03b8\u03b5\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1 \u03ae \u03bc\u03b9\u03b1 \u03b1\u03ba\u03c1\u03b9\u03b2\u03ae\u03c2 \u03c4\u03b1\u03c5\u03c4\u03cc\u03c4\u03b7\u03c4\u03b1. \u03a3\u03b5 \u03b1\u03bd\u03c4\u03af\u03b8\u03b5\u03c3\u03b7 \u03bc\u03b5 \u03bc\u03b9\u03b1 soft \u03c0\u03bf\u03b9\u03bd\u03ae, \u03bf \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03cc\u03c2 \u03b4\u03b5\u03bd \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bc\u03b7 \u03ad\u03b3\u03ba\u03c5\u03c1\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1.<\/p>\n<\/div>\n<\/details>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u0393\u03b9\u03b1\u03c4\u03af \u03b4\u03b5\u03bd \u03b1\u03c1\u03ba\u03b5\u03af \u03c4\u03bf 100% validity;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u0395\u03c0\u03b5\u03b9\u03b4\u03ae \u03c0\u03bf\u03bb\u03bb\u03ad\u03c2 \u03bc\u03b7 \u03ad\u03b3\u03ba\u03c5\u03c1\u03b5\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bd \u03b4\u03b9\u03bf\u03c1\u03b8\u03c9\u03b8\u03b5\u03af \u03b1\u03ba\u03c1\u03b9\u03b2\u03ce\u03c2 \u03c0\u03ac\u03bd\u03c9 \u03c3\u03c4\u03bf \u03cc\u03c1\u03b9\u03bf. \u03a4\u03cc\u03c4\u03b5 \u03cc\u03bb\u03bf\u03b9 \u03bf\u03b9 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b5\u03c2 \u03b9\u03c3\u03c7\u03cd\u03bf\u03c5\u03bd, \u03b1\u03bb\u03bb\u03ac \u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03c4\u03b7\u03c2 \u03b1\u03c0\u03cc\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf \u03cc\u03c1\u03b9\u03bf \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03c1\u03b9\u03b6\u03b9\u03ba\u03ac \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae.<\/p>\n<\/div>\n<\/details>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u03a4\u03b9 \u03bc\u03b5\u03c4\u03c1\u03ac \u03c4\u03bf constraint margin;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u039c\u03b5\u03c4\u03c1\u03ac \u03c0\u03cc\u03c3\u03bf \u03b9\u03ba\u03b1\u03bd\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03b1\u03bd\u03b9\u03c3\u03cc\u03c4\u03b7\u03c4\u03b1. \u038c\u03c4\u03b1\u03bd \u03c4\u03bf b \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf \u03b1\u03c0\u03cc \u03c4\u03bf a, \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac b\u2212a. \u0397 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03c4\u03bf\u03c5 margin \u03b1\u03c0\u03bf\u03ba\u03b1\u03bb\u03cd\u03c0\u03c4\u03b5\u03b9 \u03b1\u03bd \u03c4\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03ac\u03b3\u03b5\u03b9 \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03cc\u03c7\u03b9 \u03bc\u03cc\u03bd\u03bf \u03c4\u03bf \u03c0\u03c1\u03cc\u03c3\u03b7\u03bc\u03cc \u03c4\u03b7\u03c2.<\/p>\n<\/div>\n<\/details>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf resolution ratio R;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u0395\u03af\u03bd\u03b1\u03b9 \u03bf \u03bb\u03cc\u03b3\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1\u03c2 \u03c4\u03c9\u03bd \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03c3\u03c0\u03bf\u03c1\u03ac \u03c4\u03bf\u03c5 margin \u03c3\u03c4\u03b1 raw data. \u03a5\u03c8\u03b7\u03bb\u03cc R \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03bf margin \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03ba\u03c1\u03cc \u03c3\u03b5 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5 \u03c4\u03b9\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c0\u03bf\u03c5 \u03c4\u03bf \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03b6\u03bf\u03c5\u03bd \u03ba\u03b1\u03b9 \u03b4\u03cd\u03c3\u03ba\u03bf\u03bb\u03bf \u03bd\u03b1 \u03b4\u03b9\u03b1\u03ba\u03c1\u03b9\u03b8\u03b5\u03af \u03c3\u03c4\u03b7\u03bd ambient \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7.<\/p>\n<\/div>\n<\/details>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u03a0\u03ce\u03c2 \u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03c4\u03bf function-symbol grounding \u03b1\u03c0\u03cc \u03c4\u03bf clamping;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u03a4\u03bf clamping \u03b4\u03b9\u03bf\u03c1\u03b8\u03ce\u03bd\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03c0\u03b1\u03c1\u03b1\u03b3\u03cc\u03bc\u03b5\u03bd\u03b7 \u03c4\u03b9\u03bc\u03ae \u03ce\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03bc\u03c0\u03b5\u03b9 \u03c3\u03c4\u03bf \u03b5\u03c0\u03b9\u03c4\u03c1\u03b5\u03c0\u03c4\u03cc \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1. \u03a4\u03bf function-symbol grounding \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ad\u03bd\u03b7 \u03c4\u03b9\u03bc\u03ae \u03b1\u03c0\u03cc \u03b5\u03bb\u03b5\u03cd\u03b8\u03b5\u03c1\u03b5\u03c2 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b5\u03c2, \u03ce\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af\u03c4\u03b1\u03b9 \u03b5\u03be\u03b1\u03c1\u03c7\u03ae\u03c2 \u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03bf\u03bd \u03b5\u03c6\u03b9\u03ba\u03c4\u03cc \u03c7\u03ce\u03c1\u03bf.<\/p>\n<\/div>\n<\/details>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u039b\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03b7 \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7 \u03bc\u03cc\u03bd\u03bf \u03bc\u03b5 GANs;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u0397 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7 \u03b1\u03be\u03b9\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b5 \u03c4\u03bf FSG-LTN-GAN \u03ba\u03b1\u03b9 \u03bc\u03b5\u03c4\u03ad\u03c6\u03b5\u03c1\u03b5 \u03c4\u03b7\u03bd chart \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c3\u03b5 CTGAN \u03ba\u03b1\u03b9 TVAE \u03c7\u03c9\u03c1\u03af\u03c2 \u03b1\u03bb\u03bb\u03b1\u03b3\u03ae \u03c4\u03c9\u03bd backbones. \u0391\u03c5\u03c4\u03cc \u03b4\u03b5\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7 \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 generative architecture \u03ae dataset.<\/p>\n<\/div>\n<\/details>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u03a0\u03cc\u03c4\u03b5 \u03c0\u03c1\u03bf\u03c4\u03b9\u03bc\u03ac\u03c4\u03b1\u03b9 \u03c4\u03bf hybrid \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u03a3\u03c4\u03bf paper \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 chart \u03b3\u03b9\u03b1 \u03c3\u03c5\u03bd\u03b5\u03c7\u03b5\u03af\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03c0\u03bf\u03c5 \u03bf \u03b5\u03bb\u03b5\u03cd\u03b8\u03b5\u03c1\u03bf\u03c2 generator \u03c0\u03b1\u03c1\u03b1\u03b2\u03b9\u03ac\u03b6\u03b5\u03b9 \u03c3\u03c5\u03c7\u03bd\u03ac \u03ba\u03b1\u03b9 clamp \u03b3\u03b9\u03b1 \u03c7\u03b1\u03bc\u03b7\u03bb\u03bf\u03cd R \u03ae \u03b4\u03b9\u03b1\u03ba\u03c1\u03b9\u03c4\u03ad\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c0\u03c4\u03ce\u03c3\u03b5\u03b9\u03c2. \u03a4\u03b1 thresholds \u03c4\u03b7\u03c2 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7\u03c2 \u03c7\u03c1\u03b5\u03b9\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b4\u03b9\u03ba\u03ae \u03c4\u03bf\u03c5\u03c2 \u03b5\u03c0\u03b9\u03ba\u03cd\u03c1\u03c9\u03c3\u03b7 \u03c0\u03c1\u03b9\u03bd \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03bf\u03cd\u03bd \u03b1\u03bb\u03bb\u03bf\u03cd.<\/p>\n<\/div>\n<\/details>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u03a0\u03bf\u03b9\u03bf\u03bd \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b8\u03ad\u03c3\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03b5\u03c0\u03b9\u03c7\u03b5\u03af\u03c1\u03b7\u03c3\u03b7;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u039d\u03b1 \u03bc\u03b5\u03c4\u03c1\u03ac validity, margin distributions, boundary concentration, per-feature quality \u03ba\u03b1\u03b9 downstream utility \u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03ac. \u0395\u03c0\u03af\u03c3\u03b7\u03c2 \u03bd\u03b1 \u03c4\u03b5\u03ba\u03bc\u03b7\u03c1\u03b9\u03ce\u03bd\u03b5\u03b9 \u03ba\u03ac\u03b8\u03b5 constraint, \u03c4\u03bf R \u03c4\u03bf\u03c5, \u03c4\u03bf\u03bd \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03cc \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03ad\u03ba\u03b4\u03bf\u03c3\u03b7 \u03c4\u03bf\u03c5 dataset.<\/p>\n<\/div>\n<\/details>\n<\/div>\n<\/section>\n<div class=\"td-source-list\">\n<p id=\"piges\" class=\"td-source-list-title\">\u0418\u0437\u0442\u043e\u0447\u043d\u0438\u0446\u0438<\/p>\n<ul>\n<li><a href=\"https:\/\/arxiv.org\/abs\/2608.21605\" target=\"_blank\" rel=\"noopener\">arXiv \u2014 Generate in the Chart, Not on the Boundary: Function-Symbol Grounding for Hard Constraints in LTN-GANs<\/a><\/li>\n<li><a href=\"https:\/\/github.com\/nuuoe\/FSG-LTN-GAN\" target=\"_blank\" rel=\"noopener\">GitHub \u2014 FSG-LTN-GAN code, experiments and preregistration record<\/a><\/li>\n<li><a href=\"https:\/\/www.research.ed.ac.uk\/en\/publications\/generate-in-the-chart-not-on-the-boundary-function-symbol-groundi\/\" target=\"_blank\" rel=\"noopener\">University of Edinburgh \u2014 Research record for Function-Symbol Grounding in LTN-GANs<\/a><\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/2402.04823\" target=\"_blank\" rel=\"noopener\">arXiv \u2014 How Realistic Is Your Synthetic Data? Constraining Deep Generative Models for Tabular Data<\/a><\/li>\n<li><a href=\"https:\/\/www.nist.gov\/itl\/ai-risk-management-framework\" target=\"_blank\" rel=\"noopener\">NIST \u2014 Artificial Intelligence Risk Management Framework<\/a><\/li>\n<\/ul>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u0393\u03b9\u03b1\u03c4\u03af \u03c4\u03bf 100% validity \u03b4\u03b5\u03bd \u03b1\u03c1\u03ba\u03b5\u03af \u03c3\u03c4\u03b1 \u03c3\u03c5\u03bd\u03b8\u03b5\u03c4\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03ba\u03b1\u03b9 \u03c0\u03ce\u03c2 constraint margin, resolution ratio \u03ba\u03b1\u03b9 function-symbol grounding \u03b5\u03bb\u03ad\u03b3\u03c7\u03bf\u03c5\u03bd \u03c4\u03bf\u03bd \u03c1\u03b5\u03b1\u03bb\u03b9\u03c3\u03bc\u03cc.<\/p>","protected":false},"author":1,"featured_media":104461,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_gspb_post_css":"","content-type":"","footnotes":""},"categories":[199],"tags":[9260,17370,7204,20673,18987],"class_list":["post-97860","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-techniti-noimosyni","tag-ai-governance","tag-data-quality","tag-generative-ai","tag-ltn-gan","tag-synthetika-dedomena"],"blocksy_meta":{"styles_descriptor":{"styles":{"desktop":"","tablet":"","mobile":""},"google_fonts":[],"version":8}},"_links":{"self":[{"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/posts\/97860","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/comments?post=97860"}],"version-history":[{"count":1,"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/posts\/97860\/revisions"}],"predecessor-version":[{"id":104462,"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/posts\/97860\/revisions\/104462"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/media\/104461"}],"wp:attachment":[{"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/media?parent=97860"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/categories?post=97860"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/tags?post=97860"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}