{"id":2583,"date":"2026-09-10T14:49:38","date_gmt":"2026-09-10T11:49:38","guid":{"rendered":"https:\/\/newsroomin.eu\/lt\/?p=2583"},"modified":"2026-09-14T12:07:32","modified_gmt":"2026-09-14T09:07:32","slug":"tukstantmecio-problemos-openai-skandalas","status":"publish","type":"post","link":"https:\/\/newsroomin.eu\/lt\/tukstantmecio-problemos-openai-skandalas\/","title":{"rendered":"Kyla skandalas: T\u016bkstantme\u010dio problemos ir DI lenktyn\u0117s"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/newsroomin.eu\/wp-content\/uploads\/2026\/09\/navier_Stokes.jpg\" alt=\"\" class=\"wp-image-20427\"\/><figcaption class=\"wp-element-caption\">Iliustracija: <a href=\"https:\/\/newsroomin.eu\/\"><strong>NEWSROOM IN<\/strong><\/a><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">XXI am\u017eiuje matematika i\u0161gyvena formato kriz\u0119: romanti\u0161kus vieni\u0161us genijus, tokius kaip <strong><a href=\"https:\/\/ru.wikipedia.org\/wiki\/%D0%9F%D0%B5%D1%80%D0%B5%D0%BB%D1%8C%D0%BC%D0%B0%D0%BD,_%D0%93%D1%80%D0%B8%D0%B3%D0%BE%D1%80%D0%B8%D0%B9_%D0%AF%D0%BA%D0%BE%D0%B2%D0%BB%D0%B5%D0%B2%D0%B8%D1%87\" target=\"_blank\" rel=\"noopener\">Grigorijus Perelmanas<\/a><\/strong>, kei\u010dia t\u016bkstan\u010diai galingiausi\u0173 pasaulio technologij\u0173 korporacij\u0173 dirbtinio intelekto (DI) agent\u0173. Bendrov\u0117s \u201eOpenAI\u201c parei\u0161kimas, jog i\u0161spr\u0119sta viena i\u0161 septyni\u0173 garsi\u0173j\u0173 T\u016bkstantme\u010dio premijos problem\u0173 \u2013 Navier ir Stokeso lyg\u010di\u0173 singuliarumo klausimas, \u2013 i\u0161 mokslo triumfo akimirksniu virto did\u017eiuliu skandalu.<\/p>\n\n\n\n<h5 class=\"wp-block-heading has-pale-ocean-gradient-background has-background\">Dvi vienos premijos epochos: nuo G. Perelmano talento iki algoritm\u0173 armijos<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">2000 metais Clay matematikos institutas paskelb\u0117 <a href=\"https:\/\/ru.wikipedia.org\/wiki\/%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B8_%D1%82%D1%8B%D1%81%D1%8F%D1%87%D0%B5%D0%BB%D0%B5%D1%82%D0%B8%D1%8F\" target=\"_blank\" rel=\"noopener\">septynias fundamentalias T\u016bkstantme\u010dio problemas<\/a>, u\u017e kiekvienos j\u0173 i\u0161sprendim\u0105 skirdamas po milijon\u0105 JAV doleri\u0173. Iki \u0161iol \u012fveikta vos viena \u2013 <strong>Poincar\u00e9 hipotez\u0117<\/strong>, kuri\u0105 \u012frod\u0117 G. Perelmanas. Rus\u0173 matematikui prireik\u0117 ilg\u0173 vienatv\u0117je praleisto darbo met\u0173, o si\u016blomo milijono dolerio apdovanojimo jis atsisak\u0117.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Spar\u010diai tobul\u0117jant dirbtiniam intelektui, toki\u0173 u\u017edavini\u0173 sprendimo laikas, regis, sutrump\u0117jo iki keli\u0173 dien\u0173. Ta\u010diau kokia kaina?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Skandalinga istorija prasid\u0117jo <strong>2025 m. rugs\u0117j\u012f<\/strong>, kai matematikai <strong>Tristanas Buckmasteris ir Leventas Alpege<\/strong> \u0117m\u0117si spr\u0119sti vien\u0105 i\u0161 T\u016bkstantme\u010dio problem\u0173 \u2013 Navier ir Stokeso lygtis. Tikslo link jie jud\u0117jo pasitelkdami paprastesnius skys\u010di\u0173 modelius bei DI asistentus \u201eClaude\u201c ir \u201eCodex\u201c. Jau 2026 m. rugpj\u016b\u010dio 15 d. tyr\u0117jai pasiek\u0117 prover\u017e\u012f \u2013 \u012frod\u0117 singuliarum\u0105 Eulerio lygtims, kurios laikomos supaprastinta Navier ir Stokeso lyg\u010di\u0173 versija be klampos.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2026 m. rugs\u0117jo 1 d. \u201eOpenAI\u201c vadovyb\u0119 pasiek\u0117 \u017einios, jog konkurent\u0173 komandos \u201eAnthropic\u201c tyr\u0117jai, naudodami model\u012f \u201eClaude\u201c, netrukus gali i\u0161spr\u0119sti i\u0161kart dvi T\u016bkstantme\u010dio problemas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Kaip v\u0117liau <a href=\"https:\/\/dailypioneer.com\/news\/slug-lite\/openai-says-its-ai-has-solved-the-navier-stokes-millennium-prize-problem?year=2026\" target=\"_blank\" rel=\"noopener\">pripa\u017eino<\/a> \u201eOpenAI\u201c tyr\u0117jas <strong>Noamas Brownas<\/strong>, bendrov\u0117 reagavo \u017eaibi\u0161kai ir nusprend\u0117 savo nauj\u0105 nevie\u0161\u0105 model\u012f nukreipti i\u0161kart \u012f likusius \u0161e\u0161is u\u017edavinius. Vis d\u0117lto pagrindine prie\u017eastimi, kod\u0117l \u201eOpenAI\u201c DI agentai rado teising\u0105 keli\u0105 b\u016btent Navier ir Stokeso lyg\u010di\u0173 atveju, T. Buckmasteris <a href=\"https:\/\/cims.nyu.edu\/~tristanb\/statement.pdf\" target=\"_blank\" rel=\"noopener\">laiko<\/a> u\u017eklausas ir programin\u012f kod\u0105, kuriuos jiedu su L. Alpege i\u0161tisus m\u0117nesius k\u0117l\u0117 \u012f \u201eOpenAI\u201c programavimo \u012frank\u012f \u201eCodex\u201c. Nors \u201eOpenAI\u201c neigia tur\u0117jusi tiesiogin\u0119 prieig\u0105 prie naudotoj\u0173 byl\u0173, bendrov\u0117 pripa\u017e\u012fsta, jog nuasmeninti duomenys i\u0161 \u201eCodex\u201c gal\u0117jo spontani\u0161kai apmokyti model\u012f. Bet kuriuo atveju iki tol \u201eOpenAI\u201c T\u016bkstantme\u010dio problem\u0173 tyrimais apskritai neu\u017esi\u0117m\u0117.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0160i\u0173 lenktyni\u0173 baigtis virto absurdu: \u017emogaus ir DI duetui (T. Buckmasteriui, L. Alpege ir \u201eClaude\u201c) fundamentaliai id\u0117jai rasti prireik\u0117 <strong>vieneri\u0173 met\u0173<\/strong>, o 10 000 \u201eOpenAI\u201c DI agent\u0173 armija, pasinaudojusi svetima tyrim\u0173 kryptimi, galutin\u012f sprendim\u0105 sugeneravo per <strong>105 valandas<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mokslininkai prabilo apie plagijavim\u0105. T. Buckmasterio teigimu, \u201eOpenAI\u201c atstovai jam netgi si\u016bl\u0117 atmesti \u201eAnthropic\u201c tyr\u0117jo ind\u0117l\u012f, pasiimti milijono doleri\u0173 premij\u0105 sau ir tapti pirmuoju autoriumi \u2013 svarbiausia, kad naujien\u0173 antra\u0161t\u0117se skamb\u0117t\u0173 \u201eOpenAI\u201c vardas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0160is incidentas sudav\u0117 rimt\u0105 sm\u016bg\u012f \u201eOpenAI\u201c reputacijai ir i\u0161k\u0117l\u0117 a\u0161tr\u0173 klausim\u0105: ar DI asistentai netaps priemone legaliai savintis intelektin\u0119 nuosavyb\u0119 t\u0173 naudai, kurie disponuoja didesniais serveri\u0173 paj\u0117gumais?<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading has-black-color has-pale-ocean-gradient-background has-text-color has-background has-link-color wp-elements-1\">\u017dinynas: T\u016bkstantme\u010dio problemos<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/newsroomin.eu\/\"><strong>NEWSROOM IN<\/strong><\/a> primena apie T\u016bkstantme\u010dio premijos u\u017edavinius ir \u0161i\u0173 atradim\u0173 esm\u0119.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Vis\u0173 7 T\u016bkstantme\u010dio problem\u0173 statusas<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list is-style-newscard-hand\">\n<li><strong>Poincar\u00e9 hipotez\u0117<\/strong> \u2013 <strong>I\u0160SPR\u0118STA<\/strong> (Grigorijus Perelmanas, 2002\u20132003 m.).<\/li>\n\n\n\n<li><strong>Navier ir Stokeso lyg\u010di\u0173 egzistavimas ir glotnumas<\/strong> \u2013 <strong>TIKRINAMA<\/strong> (paskelbtas \u201eOpenAI\u201c sprendimas, 2026 m.).<\/li>\n\n\n\n<li><strong>P ir NP klasi\u0173 lygyb\u0117<\/strong> \u2013 <strong>NEI\u0160SPR\u0118STA<\/strong> (pagrindinis kompiuteri\u0173 mokslo klausimas apie skai\u010diavim\u0173 spart\u0105).<\/li>\n\n\n\n<li><strong>Riemanno hipotez\u0117<\/strong> \u2013 <strong>NEI\u0160SPR\u0118STA<\/strong> (pirmini\u0173 skai\u010di\u0173 pasiskirstymo d\u0117sningumas).<\/li>\n\n\n\n<li><strong>Hodge&#8217;o hipotez\u0117<\/strong> \u2013 <strong>NEI\u0160SPR\u0118STA<\/strong> (algebros ir sud\u0117ting\u0173 erdvi\u0173 geometrijos ry\u0161ys).<\/li>\n\n\n\n<li><strong>Yango ir Millso teorija<\/strong> \u2013 <strong>NEI\u0160SPR\u0118STA<\/strong> (elementari\u0173j\u0173 daleli\u0173 fizikos matematinis pagrindimas).<\/li>\n\n\n\n<li><strong>Bircho ir Swinnertono-Dyerio hipotez\u0117<\/strong> \u2013 <strong>NEI\u0160SPR\u0118STA<\/strong> (eliptini\u0173 kreivi\u0173 lygtys).<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>K\u0105 \u012frod\u0117 G. Perelmanas ir k\u0105 atskleid\u0117 Navier ir Stokeso lyg\u010di\u0173 tyrimai?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list is-style-newscard-hand\">\n<li><strong>G. Perelmanas (Poincar\u00e9 hipotez\u0117):<\/strong> \u012frod\u0117, jog trimat\u012f objekt\u0105 be skyli\u0173 (pavyzd\u017eiui, subliu\u0161kus\u012f ar deformuot\u0105 trimat\u012f daikt\u0105) galima be kli\u016b\u010di\u0173 sutraukti \u012f \u012fprast\u0105 trimat\u0119 sfer\u0105. Mokslininkas fakti\u0161kai matemati\u0161kai apra\u0161\u0117 m\u016bs\u0173 Visatos geometrij\u0105.<\/li>\n\n\n\n<li><strong>Mokslininkai ir DI (Navier ir Stokeso lygtys):<\/strong> \u012frod\u0117, jog Navier ir Stokeso matematinis modelis <strong>n\u0117ra idealus<\/strong>. Ekstremaliomis s\u0105lygomis skyst\u012f ar dujas formul\u0117je galima s\u0105lygi\u0161kai \u201e\u012fgreitinti\u201c iki begalinio grei\u010dio ir tankio, o tuomet atsiranda matematinis singuliarumas \u2013 modelis nustoja veikti.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kokia \u0161i\u0173 atradim\u0173 praktin\u0117 nauda kasdieniame gyvenime?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list is-style-newscard-hand\">\n<li><strong>G. Perelmano \u012frodymas<\/strong> padeda astrofizikams geriau suprasti Visatos form\u0105 bei jos evoliucij\u0105, taip pat taikomas kompiuterin\u0117je grafikoje ir sud\u0117ting\u0173 erdvi\u0173 3D modeliavime.<\/li>\n\n\n\n<li><strong>Navier ir Stokeso lyg\u010di\u0173 atradimas<\/strong> in\u017einieriams atskleid\u017eia sen\u0173j\u0173 formuli\u0173 taikymo ribas. Nuo \u0161iol projektuojant hipergarsinius l\u0117ktuvus, meteorologinius superkompiuterius, reaktorius ir erdv\u0117laivius \u017einoma, jog ribin\u0117se situacijose Navier ir Stokeso lygtys klysta, tod\u0117l b\u016btinos naujos skaitmenin\u0117s pataisos, kad skai\u010diavimai nesukelt\u0173 katastrofos.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>XXI am\u017eiuje matematika i\u0161gyvena formato kriz\u0119: romanti\u0161kus vieni\u0161us genijus, tokius kaip Grigorijus Perelmanas, kei\u010dia t\u016bkstan\u010diai galingiausi\u0173 pasaulio technologij\u0173 korporacij\u0173 dirbtinio intelekto (DI) agent\u0173. Bendrov\u0117s \u201eOpenAI\u201c parei\u0161kimas, jog i\u0161spr\u0119sta viena i\u0161 septyni\u0173 garsi\u0173j\u0173 T\u016bkstantme\u010dio premijos problem\u0173 \u2013 Navier ir Stokeso lyg\u010di\u0173 singuliarumo klausimas, \u2013 i\u0161 mokslo triumfo akimirksniu virto did\u017eiuliu skandalu. Dvi vienos premijos epochos: nuo [\u2026]<\/p>\n","protected":false},"author":1,"featured_media":2570,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_newsroomin_seo_keywords":"","_newsroomin_seo_lead_override":"","_newsroomin_disable_ads":false,"_newsroomin_is_archived":"","_newsroomin_tooltips":[],"footnotes":""},"categories":[21,440],"tags":[109,1227,1226,531,1228],"class_list":["post-2583","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-futur","category-verslas","tag-dirbtinis-intelektas","tag-grigorijus-perelmanas","tag-matematika","tag-openai","tag-tukstantmecio-problemos"],"tooltips":[],"newsroomin_tooltips":[],"_links":{"self":[{"href":"https:\/\/newsroomin.eu\/lt\/wp-json\/wp\/v2\/posts\/2583","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/newsroomin.eu\/lt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/newsroomin.eu\/lt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/newsroomin.eu\/lt\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/newsroomin.eu\/lt\/wp-json\/wp\/v2\/comments?post=2583"}],"version-history":[{"count":0,"href":"https:\/\/newsroomin.eu\/lt\/wp-json\/wp\/v2\/posts\/2583\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/newsroomin.eu\/lt\/wp-json\/wp\/v2\/media\/2570"}],"wp:attachment":[{"href":"https:\/\/newsroomin.eu\/lt\/wp-json\/wp\/v2\/media?parent=2583"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/newsroomin.eu\/lt\/wp-json\/wp\/v2\/categories?post=2583"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/newsroomin.eu\/lt\/wp-json\/wp\/v2\/tags?post=2583"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}