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Pro zhurnal div Machine Learning zhurnal Zapit Statistichne navchannya perenapravlyaye syudi pro statistichne navchannya v lingvistici div statistichne navchannya v opanovuvanni mov Mashi nne navcha nnya MN angl machine learning ML ce uzagalnyuvalnij termin stosovno rozv yazuvannya zadach dlya yakih rozrobka algoritmiv programistami lyudmi bula bi zanadto vitratnoyu i yaki natomist rozv yazuyut dopomagayuchi mashinam vidkrivati svoyi vlasni algoritmi 1 bez potrebi yavno vkazuvati yim sho robiti za dopomogoyu algoritmiv rozroblenih lyudmi 2 Neshodavno porodzhuvalni shtuchni nejronni merezhi zmogli perevershiti rezultati bagatoh poperednih pidhodiv 3 4 Pidhodi mashinnogo navchannya zastosovuvali do velikih movnih modelej komp yuternogo bachennya rozpiznavannya movlennya filtruvannya elektronnoyi poshti silskogo gospodarstva ta medicini de rozrobka algoritmiv dlya vikonannya neobhidnih zavdan bula bi zanadto vitratnoyu 5 6 Matematichni osnovi MN zabezpechuyut metodi matematichnoyi optimizaciyi Dobuvannya danih angl data mining ce pov yazane paralelne pole doslidzhen zoseredzhene na rozviduvalnomu analizi danih cherez nekerovane navchannya 8 9 MN vidome u svoyemu zastosuvanni v komercijnih zadachah pid nazvoyu peredbachuvalna analitika en Hoch i ne vse mashinne navchannya gruntuyetsya na statistici obchislyuvalna statistika en ye vazhlivim dzherelom metodiv ciyeyi galuzi Zmist 1 Bazove pripushennya 2 Istoriya ta zv yazki z inshimi galuzyami 2 1 Shtuchnij intelekt 2 2 Dobuvannya danih 2 3 Uzagalnyuvannya 2 4 Statistika 2 5 Fizika 3 Teoriya 4 Pidhodi 4 1 Kerovane navchannya 4 2 Nekerovane navchannya 4 3 Napivkerovane navchannya 4 4 Navchannya z pidkriplennyam 4 5 Znizhuvannya rozmirnosti 4 6 Inshi vidi 4 6 1 Samonavchannya 4 6 2 Navchannya oznak 4 6 3 Navchannya rozridzhenih slovnikiv 4 6 4 Viyavlyannya anomalij 4 6 5 Navchannya robotiv 4 6 6 Asociativni pravila 4 7 Modeli 4 7 1 Shtuchni nejronni merezhi 4 7 2 Dereva rishen 4 7 3 Opornovektorni mashini 4 7 4 Regresijnij analiz 4 7 5 Bayesovi merezhi 4 7 6 Gaussovi procesi 4 7 7 Genetichni algoritmi 4 8 Trenuvannya modelej 4 8 1 Federativne navchannya 5 Zastosuvannya 6 Obmezhennya 6 1 Uperedzhennya 6 2 Poyasnennist 6 3 Perenavchannya 6 4 Inshi obmezhennya ta vrazlivosti 7 Ocinyuvannya modelej 8 Etika 9 Aparatne zabezpechennya 9 1 Nejromorfni fizichni nejronni merezhi 9 2 Vbudovuvane mashinne navchannya 10 Programne zabezpechennya 10 1 Vilne ta vidkrite programne zabezpechennya 10 2 Vlasnicke programne zabezpechennya z vilnimi abo vidkritimi redakciyami 10 3 Vlasnicke programne zabezpechennya 11 Zhurnali 12 Konferenciyi 13 Div takozh 14 Primitki 15 Dzherela 16 Literatura 17 PosilannyaBazove pripushennya RedaguvatiBazove pripushennya sho lezhit v osnovi mashinnogo navchannya polyagaye v tomu sho vse sho pracyuvalo v minulomu tobto strategiyi algoritmi ta visnovuvannya najimovirnishe prodovzhuvatime pracyuvati j u majbutnomu Ochevidnij priklad oskilki sonce shodilo kozhnogo ranku protyagom ostannih 10 000 dniv imovirno vono zijde j zavtra vranci Tonshij priklad v X rodin isnuyut geografichno vidokremleni vidi z riznimi variantami koloriv otzhe isnuye Y shansiv sho neviyavleni chorni lebedi isnuyut 10 Istoriya ta zv yazki z inshimi galuzyami RedaguvatiDiv takozh Hronologiya rozvitku mashinnogo navchannya Termin mashinne navchannya angl machine learning zaprovadiv 1959 roku Artur Semyuel pracivnik IBM ta pioner u galuzi komp yuternih igor ta shtuchnogo intelektu 11 12 V cej period takozh vikoristovuvali j sinonim samonavchalni komp yuteri angl self teaching computers 13 14 Na pochatku 1960 h rokiv kompaniya Raytheon rozrobila eksperimentalnu samonavchalnu mashinu angl learning machine z pam yattyu na perfostrichci pid nazvoyu Kibertron angl Cybertron dlya analizu gidroakustichnih signaliv elektrokardiogram ta zrazkiv movlennya za dopomogoyu rudimentarnogo navchannya z pidkriplennyam Lyudina operator vchitel ciklichno trenuvala yiyi rozpiznavati zakonomirnosti za dopomogoyu knopki lyap angl goof shobi zmushuvati pereocinyuvati nepravilni rishennya 15 Reprezentativnoyu knigoyu pro doslidzhennya mashinnogo navchannya v 1960 h rokah bula kniga Nilssona pro samonavchalni mashini prisvyachena perevazhno mashinnomu navchannyu dlya klasifikuvannya obraziv 16 Zacikavlennya pov yazane z rozpiznavannyam obraziv trivalo i v 1970 h rokah yak opisano Dudoyu ta Gartom 1973 roku 17 1981 roku bulo zrobleno dopovid pro vikoristannya strategij navchannya shobi nejronna merezha navchilasya rozpiznavati 40 simvoliv 26 liter 10 cifr ta 4 specialni simvoli z komp yuternogo terminalu 18 Tom Mitchell nadav shiroko citovane formalnishe viznachennya algoritmiv doslidzhuvanih u galuzi mashinnogo navchannya Kazhut sho komp yuterna programa vchitsya z dosvidu E shodo deyakogo klasu zavdan T ta miri produktivnosti P yaksho yiyi produktivnist u zavdannyah z T vimiryuvana P pokrashuyetsya z dosvidom E 19 Ce viznachennya zavdan sho stosuyutsya mashinnogo navchannya proponuye principovo operacijne viznachennya zamist viznachannya ciyeyi galuzi v kognitivnih terminah Ce vidpovidaye propoziciyi Alana Tyuringa v jogo statti Obchislyuvalni mashini ta rozum en v yakij pitannya Chi mozhut mashini misliti zaminyuyetsya zapitannyam Chi mozhut mashini robiti te sho mozhemo robiti mi yak mislyachi istoti 20 Suchasne mashinne navchannya maye dvi meti odna klasifikuvati dani na osnovi rozroblenih modelej insha peredbachuvati majbutni rezultati na osnovi cih modelej Gipotetichnij algoritm dlya klasifikuvannya danih mozhe vikoristovuvati bachennya komp yuterom rodimok u poyednanni z kerovanim navchannyam shobi navchiti jogo klasifikuvati rakovi rodimki Algoritm mashinnogo navchannya dlya birzhovoyi torgivli mozhe informuvati trejdera pro majbutni potencijni prognozi 21 Shtuchnij intelekt Redaguvati nbsp Mashinne navchannya yak pidgaluz ShI 22 Yak naukovij napryam mashinne navchannya viroslo z poshukiv shtuchnogo intelektu ShI angl artificial intelligence AI V chasi yunosti ShI yak akademichnoyi disciplini deyaki doslidniki buli zacikavleni v tomu shobi mashini navchalisya z danih Voni namagalisya pidijti do ciyeyi zadachi riznimi simvolnimi metodami a takozh tim sho zgodom nazvali nejronnimi merezhami ce buli zdebilshogo perceptroni ta inshi modeli yaki piznishe viyavilisya perevinahodami uzagalnenih linijnih modelej en statistiki 23 Zastosovuvali takozh i jmovirnisne mirkuvannya osoblivo v avtomatizovanomu medichnomu diagnostuvanni en 24 488Prote posilennya akcentu na logichnomu pidhodi sho gruntuyetsya na znannyah en sprichinilo rozriv mizh ShI ta mashinnim navchannyam Imovirnisni sistemi strazhdali na teoretichni ta praktichni problemi zbirannya ta podannya danih 24 488 Blizko 1980 roku prijshli ekspertni sistemi shobi dominuvati nad ShI a statistika bula v nemilosti 25 Robota nad navchannyam na osnovi simvoliv znan taki prodovzhuvalasya v mezhah ShI veduchi do induktivnogo logichnogo programuvannya en ale bilsh statistichna liniya doslidzhen bula teper za mezhami oblasti spravzhnogo ShI u rozpiznavanni obraziv ta informacijnomu poshuku 24 708 710 755 Priblizno v cej zhe chas ShI ta informatikoyu bulo oblisheno doslidzhennya nejronnih merezh Cyu liniyu takozh bulo prodovzheno za mezhami oblasti ShI informatiki yak konekcionizm doslidnikami z inshih disciplin vklyuchno z Gopfildom Rumelhartom en ta Gintonom Yihnij golovnij uspih prijshov u seredini 1980 h rokiv iz povtornim vinajdennyam zvorotnogo poshirennya 24 25Mashinne navchannya MN reorganizovane ta viznane yak okrema galuz pochalo procvitati v 1990 h rokah Cya galuz zminila svoyu metu z dosyagnennya shtuchnogo intelektu na rozv yazannya rozv yaznih zadach praktichnogo harakteru Vona zmistila fokus iz simvolnih pidhodiv en uspadkovanih neyu vid ShI v bik metodiv ta modelej zapozicheni zi statistiki nechitkoyi logiki ta teoriyi jmovirnostej 25 Dobuvannya danih Redaguvati Mashinne navchannya ta dobuvannya danih chasto vikoristovuyut odni j ti zh metodi i znachno perekrivayutsya ale v toj chas yak mashinne navchannya zoseredzhuyetsya na peredbachuvanni na osnovi vidomih vlastivostej vivchenih iz trenuvalnih danih dobuvannya danih zoseredzhuyetsya na vidkrivanni nevidomih ranishe vlastivostej v danih ce krok analizu vidkrivannya znan u bazah danih Dobuvannya danih vikoristovuye bagato metodiv mashinnogo navchannya ale z inshimi cilyami z inshogo boku mashinne navchannya takozh vikoristovuye metodi dobuvannya danih yak nekerovane navchannya abo yak krok poperednoyi obrobki dlya pokrashennya tochnosti mehanizmu navchannya Velika chastina plutanini mizh cimi dvoma doslidnickimi spilnotami yaki chasto mayut okremi konferenciyi ta okremi zhurnali z ECML PKDD en yak osnovnim vinyatkom vihodit z osnovnih pripushen z yakimi voni pracyuyut u mashinnomu navchanni produktivnist zazvichaj ocinyuyut z oglyadu na zdatnist vidtvoryuvati vidomi znannya todi yak u vidkrivanni znan ta dobuvanni danih angl knowledge discovery and data mining KDD klyuchovim zavdannyam ye vidkrittya ranishe nevidomih znan Pri ocinci po vidnoshennyu do vidomih znan neinformovanij nekerovanij metod legko progravatime inshim kerovanim metodam todi yak u tipovomu zavdanni KDD vikoristovuvati kerovani metodi nemozhlivo v silu vidsutnosti trenuvalnih danih Mashinne navchannya takozh maye tisni zv yazki z optimizaciyeyu bagato zadach navchannya formulyuyut yak minimizaciyu deyakoyi funkciyi vtrat na trenuvalnomu nabori prikladiv Funkciyi vtrat virazhayut rozbizhnist mizh peredbachennyami trenovanoyi modeli ta dijsnimi primirnikami zadachi napriklad u klasifikaciyi potribno priznachuvati mitki zrazkam i modeli trenuyutsya pravilno peredbachuvati poperedno priznacheni mitki naboru prikladiv 26 Uzagalnyuvannya Redaguvati Vidminnist mizh optimizaciyeyu ta mashinnim navchannyam postaye cherez metu uzagalnyuvannya en v toj chas yak algoritmi optimizaciyi mozhut minimizuvati vtrati na trenuvalnomu nabori mashinne navchannya zajmayetsya minimizuvannyam vtrat na nebachenih zrazkah Harakteristika uzagalnyuvannya riznih algoritmiv navchannya ce aktivna tema potochnih doslidzhen osoblivo dlya algoritmiv glibokogo navchannya Statistika Redaguvati Mashinne navchannya ta statistika ce tisno pov yazani galuzi z poglyadu metodiv ale vidminni u svoyij golovnij meti statistika robit visnovki pro generalnu sukupnist iz vibirki todi yak mashinne navchannya znahodit uzagalnyuvalni peredbachuvalni shemi 27 Za slovami Majkla I Dzhordana en ideyi mashinnogo navchannya vid metodologichnih principiv do teoretichnih instrumentiv mali dovgu peredistoriyu v statistici 28 Vin takozh zaproponuvav termin nauka pro dani angl data science dlya poznachennya zagalnoyi oblasti 28 Tradicijnij statistichnij analiz vimagaye apriornogo viboru modeli yaka najbilshe pidhodit dlya naboru danih doslidzhennya Krim togo do analizu zaluchayut lishe suttyevi ta teoretichno dorechni zminni na osnovi poperednogo dosvidu Mashinne navchannya navpaki ne buduyetsya na poperedno strukturovanij modeli skorishe ce dani formuyut model viyavlyayuchi zakonomirnosti sho lezhat u yihnij osnovi Sho bilshe zminnih vhodiv vikoristovuyut dlya trenuvannya modeli to tochnishoyu bude ostatochna model 29 Leo Brejman en vidiliv dvi paradigmi statistichnogo modelyuvannya model danih ta algoritmichnu model 30 de algoritmichna model angl algorithmic model oznachaye bilsh mensh algoritmi mashinnogo navchannya taki yak vipadkovij lis Deyaki fahivci statistiki perejnyali metodi z mashinnogo navchannya sho prizvelo do ob yednanoyi oblasti yaku voni nazivayut statistichnim navchannyam angl statistical learning 31 Fizika Redaguvati Analitichni ta obchislyuvalni metodiki sho pohodyat z gliboko vkorinenoyi fiziki nevporyadkovanih sistem mozhlivo poshiryuvati na velikomasshtabni zadachi vklyuchno z mashinnim navchannyam napriklad dlya analizu prostoru vag glibokih nejronnih merezh 32 Statistichna fizika vidtak znahodit zastosuvannya v galuzi medichnoyi diagnostiki 33 Teoriya RedaguvatiDokladnishe Teoriya obchislyuvalnogo navchannya en ta Teoriya statistichnogo navchannyaOsnovna meta sistemi yaka navchayetsya ce robiti uzagalnennya zi svogo dosvidu 7 34 Uzagalnennya v comu konteksti ce zdatnist mashini sho vchitsya pracyuvati tochno na novih nebachenih prikladah zavdannyah pislya otrimannya dosvidu navchalnogo naboru danih Trenuvalni prikladi pohodyat z yakogos zagalom nevidomogo rozpodilu jmovirnosti yakij vvazhayut predstavnickim dlya prostoru vipadkiv i sistema sho vchitsya maye pobuduvati zagalnu model cogo prostoru yaka dozvolyaye yij viroblyati dostatno tochni peredbachennya v novih vipadkah Obchislyuvalnij analiz algoritmiv mashinnogo navchannya ta yihnoyi produktivnosti ce rozdil teoretichnoyi informatiki vidomij yak teoriya obchislyuvalnogo navchannya en cherez model imovirno priblizno korektnogo navchannya angl Probably Approximately Correct Learning PAC Oskilki trenuvalni nabori skinchenni a majbutnye nepevne teoriya navchannya zazvichaj ne daye garantij produktivnosti algoritmiv Natomist dovoli poshireni jmovirnisni ramki produktivnosti Odnim zi sposobiv kilkisnogo ocinyuvannya pohibki uzagalnyuvannya ye rozklad na zmishennya ta dispersiyu angl bias variance decomposition Dlya najkrashoyi produktivnosti v konteksti uzagalnyuvannya skladnist gipotezi povinna vidpovidati skladnosti funkciyi sho lezhit v osnovi danih Yaksho gipoteza mensh skladna nizh cya funkciya to model nedostatno dopasuvalasya do danih Yaksho u vidpovid skladnist modeli pidvishuvati to pohibka trenuvannya znizhuvatimetsya Ale yaksho gipoteza zanadto skladna to model piddayetsya perenavchannyu j uzagalnennya bude girshim 35 Na dodachu do ramok produktivnosti teoretiki navchannya doslidzhuyut chasovu skladnist ta zdijsnennist navchannya V teoriyi obchislyuvalnogo navchannya obchislennya vvazhayut zdijsnennim yaksho jogo mozhlivo vikonati za polinomialnij chas Isnuye dva vidi rezultativ chasovoyi skladnosti Pozitivni rezultati pokazuyut sho pevnogo klasu funkcij mozhe buti navcheno za polinomialnij chas Negativni rezultati pokazuyut sho pevnih klasiv ne mozhe buti navcheno za polinomialnij chas Pidhodi RedaguvatiPidhodi mashinnogo navchannya tradicijno podilyayut na tri veliki kategoriyi yaki vidpovidayut paradigmam navchannya zalezhno vid prirodi signalu abo zvorotnogo zv yazku dostupnogo sistemi navchannya Kerovane navchannya 36 37 38 angl supervised learning komp yuter znajomlyat zi zrazkami vhodiv ta yihnih bazhanih vihodiv nadanih vchitelem a metoyu ye navchitisya zagalnogo pravila yake vidobrazhuye en vhodi na vihodi Nekerovane navchannya 36 37 39 38 angl unsupervised learning algoritmovi navchannya ne nadayut mitok zalishayuchi jomu samostijno znahoditi strukturu u vhodi Nekerovane navchannya mozhe buti metoyu same po sobi viyavlyannya prihovanih zakonomirnostej u danih abo zasobom dosyagnennya meti navchannya oznak Navchannya z pidkriplennyam 40 angl reinforcement learning komp yuterna programa vzayemodiye z dinamichnim seredovishem u yakomu vona musit vikonuvati pevnu metu napriklad keruvati transportnim zasobom abo grati u gru proti supernika Z peremishennyam u prostori zadachi programi nadayut zvorotnij zv yazok analogichnij vinagorodam yaki vona namagayetsya maksimizuvati 7 Hocha perevagi ta obmezhennya maye kozhen z algoritmiv zhoden algoritm ne pracyuye dlya vsih zadach 41 42 43 Kerovane navchannya Redaguvati Dokladnishe Kerovane navchannya nbsp Opornovektorna mashina ce model kerovanogo navchannya yaka podilyaye dani na oblasti rozdileni linijnoyu mezheyu Tut linijna mezha viddilyaye chorni kola vid bilih Algoritmi kerovanogo navchannya 36 37 38 angl supervised learning buduyut matematichnu model naboru danih yakij mistit yak vhodi tak i bazhani vihodi 44 Taki dani vidomi yak trenuvalni dani j skladayutsya z naboru trenuvalnih prikladiv Kozhen trenuvalnij priklad maye odin abo kilka vhodiv ta bazhanij vihid vidomij takozh yak kerivnij signal angl supervisory signal U matematichnij modeli kozhen trenuvalnij priklad podano masivom abo vektorom yakij inodi nazivayut vektorom oznak a trenuvalni dani podano matriceyu Zavdyaki iteracijnij optimizaciyi cilovoyi funkciyi algoritmi kerovanogo navchannya navchayutsya funkciyi yaku mozhlivo vikoristovuvati dlya peredbachuvannya vihodu pov yazanogo z novimi vhodami 45 Optimalna funkciya dozvolyatime algoritmovi pravilno viznachati vihid dlya vhodiv yaki ne buli chastinoyu trenuvalnih danih Kazhut sho algoritm yakij z chasom udoskonalyuye tochnist svoyih vihodiv abo peredbachen navchivsya vikonuvati ce zavdannya 19 Do tipiv algoritmiv kerovanogo navchannya nalezhat aktivne navchannya en klasifikuvannya ta regresiya 46 Algoritmi klasifikuvannya vikoristovuyut koli vihodi obmezheno vuzkim naborom znachen a algoritmi regresiyi vikoristovuyut koli vihodi mozhut mati bud yake chislove znachennya v mezhah yakogos diapazonu Yak priklad dlya algoritmu klasifikuvannya yakij filtruye elektronni listi vhodom bude vhidnij elektronnij list a vihodom nazva teki do yakoyi potribno cej elektronnij list zberegti Navchannya podibnostej en angl similarity learning ce galuz kerovanogo mashinnogo navchannya tisno pov yazana z regresiyeyu ta klasifikuvannyam ale yaka maye na meti vchitisya z prikladiv vikoristovuyuchi funkciyu podibnosti sho vimiryuye naskilki shozhi abo pov yazani dva ob yekti Vono maye zastosuvannya v ranzhuvanni rekomendacijnih sistemah vizualnomu vidstezhuvanni identichnosti perevirci oblich ta perevirci movcya Nekerovane navchannya Redaguvati Dokladnishe Nekerovane navchannyaDiv takozh Klasternij analiz Algoritmi nekerovanogo navchannya 36 37 39 38 angl unsupervised learning berut nabir danih yakij mistit lishe vhidni dani j znahodyat u cih danih strukturu yak ot grupuvannya chi klasteruvannya tochok danih Takim chinom ci algoritmi navchayutsya z viprobuvalnih danih yaki ne bulo micheno klasifikovano chi kategorizovano Zamist togo shobi reaguvati na zvorotnij zv yazok algoritmi nekerovanogo navchannya viyavlyayut spilni risi v danih i reaguyut na nayavnist abo vidsutnist takih spilnih ris u kozhnij novij odinici danih Osnovnim zastosuvannyam nekerovanogo navchannya ye ocinka gustini u statistici napriklad viznachennya funkciyi gustini jmovirnosti 47 Vtim nekerovane navchannya ohoplyuye j inshi oblasti sho vklyuchayut uzagalnyuvannya ta poyasnennya oznak danih Algoritmi nekerovanogo navchannya optimizuvali proces doslidzhennya ta pobudovi velikih gaplotipiv en potribnogo gena z pangenoma en na osnovi indeliv en 48 nbsp Klasteruvannya velikimi indelnimi perestavnimi shilami angl Clustering via Large Indel Permuted Slopes CLIPS peretvoryuye zobrazhennya shikuvannya na zadachu navchannya regresiyi Rizni ocinki nahilu b mizh kozhnoyu paroyu segmentiv DNK dozvolyayut identifikuvati segmenti sho mayut odnakovij nabir indeliv Klasternij analiz angl cluster analysis ce rozpodil naboru sposterezhen na pidmnozhini tak zvani klasteri shobi sposterezhennya v odnomu klasteri buli podibnimi vidpovidno do odnogo abo kilkoh zazdalegid vstanovlenih kriteriyiv todi yak sposterezhennya vzyati z riznih klasteriv buli neshozhimi Rizni metodiki klasteruvannya roblyat rizni pripushennya shodo strukturi danih yaki chasto viznachayut deyakoyu miroyu podibnosti angl similarity metric ta ocinyuyut napriklad za vnutrishnoyu kompaktnistyu angl internal compactness abo podibnistyu chleniv odnogo klastera ta vidokremlenistyu angl separation rizniceyu mizh klasterami Inshi metodi gruntuyutsya na ocinyuvanij gustini angl estimated density ta grafovij zv yaznosti angl graph connectivity Napivkerovane navchannya Redaguvati Dokladnishe Napivkerovane navchannyaNapivkerovane navchannya 36 38 angl semi supervised learning perebuvaye mizh nekerovanim navchannyam bez bud yakih michenih trenuvalnih danih ta kerovanim navchannyam z povnistyu michenimi trenuvalnimi danimi Deyaki trenuvalni prikladi pozbavleni trenuvalnih mitok ale bagato doslidnikiv mashinnogo navchannya viyavili sho nemicheni dani yaksho yih vikoristovuvati razom iz nevelikoyu kilkistyu michenih danih mozhut znachno pidvishuvati tochnist navchannya U slabokerovanim navchanni 49 trenuvalni mitki zashumleni obmezheni abo netochni prote ci mitki chasto deshevshe otrimuvati sho daye bilshi efektivni trenuvalni nabori 50 Navchannya z pidkriplennyam Redaguvati Dokladnishe Navchannya z pidkriplennyamNavchannya z pidkriplennyam 40 angl reinforcement learning ce galuz mashinnogo navchannya pov yazana z tim yak programni agenti povinni vikonuvati diyi v seredovishi shobi maksimizuvati pevne uyavlennya pro sukupnu vinagorodu Zavdyaki yiyi zagalnosti cyu galuz vivchayut u bagatoh inshih disciplinah takih yak teoriya igor teoriya keruvannya doslidzhennya operacij teoriya informaciyi optimizaciya na osnovi modelyuvannya bagatoagentni sistemi rojovij intelekt statistika ta genetichni algoritmi U navchanni z pidkriplennyam seredovishe zazvichaj podayut yak markovskij proces virishuvannya MPV angl markov decision process MDP Bagato algoritmiv navchannya z pidkriplennyam vikoristovuyut metodiki dinamichnogo programuvannya 51 Algoritmi navchannya z pidkriplennyam ne vihodyat zi znannya tochnoyi matematichnoyi modeli MPV i yih vikoristovuyut koli tochni modeli nedosyazhni Algoritmi navchannya z pidkriplennyam vikoristovuyut v avtonomnih transportnih zasobah ta v navchanni gri proti lyudini suprotivnika Znizhuvannya rozmirnosti Redaguvati Znizhuvannya rozmirnosti angl dimensionality reduction ce proces znizhennya kilkosti vipadkovih velichin yaki rozglyadayut shlyahom otrimannya naboru providnih zminnih angl principal variables 52 Inshimi slovami ce proces znizhennya rozmirnosti naboru oznak yaku takozh nazivayut kilkistyu oznak angl number of features Bilshist metodik znizhuvannya rozmirnosti mozhlivo rozglyadati yak usunennya abo vidilyannya oznak Odnim iz populyarnih metodiv znizhuvannya rozmirnosti ye metod golovnih komponent MGK angl principal component analysis PCA MGK vklyuchaye perenesennya danih bilshoyi rozmirnosti napriklad trivimirnih do menshogo prostoru napriklad dvovimirnogo Ce daye menshu rozmirnist danih dvovimirni zamist trivimirnih zberigayuchi vsi pervinni zminni v modeli bez zmini danih 53 Gipoteza mnogovidiv en proponuye ideyu roztashuvannya bagatovimirnih naboriv danih uzdovzh nizkovimirnih mnogovidiv i bagato metodik znizhuvannya rozmirnosti vihodyat iz cogo pripushennya sho vede do oblasti navchannya mnogovidiv en ta mnogovidnoyi regulyarizaciyi en Inshi vidi Redaguvati Bulo rozrobleno j inshi pidhodi yaki ne vpisuyutsya v ci tri kategoriyi j inodi odna sistema mashinnogo navchannya vikoristovuye dekilka z nih Napriklad tematichne modelyuvannya metanavchannya 54 Stanom na 2022 rik gliboke navchannya ye dominantnim pidhodom dlya bagatoh potochnih robit u galuzi mashinnogo navchannya 1 Samonavchannya Redaguvati Samonavchannya angl self learning yak paradigmu mashinnogo navchannya bulo zaproponovano 1982 roku razom iz nejronnoyu merezheyu zdatnoyu do samonavchannya yaka otrimala nazvu poperechinnogo adaptivnogo masivu PAM angl crossbar adaptive array CAA 55 Ce navchannya bez zovnishnih vinagorod i bez zovnishnih porad vchitelya Algoritm samonavchannya PAM obchislyuye poperechinnim chinom yak rishennya shodo dij tak i emociyi pochuttya shodo naslidkovih situacij Cya sistema keruyetsya vzayemodiyeyu mizh piznannyam ta emociyami 56 Algoritm samonavchannya utochnyuye matricyu pam yati W w a s vikonuyuchi v kozhnij iteraciyi nastupnu proceduru mashinnogo navchannya u situaciyi s vikonati diyu a otrimati naslidok situaciyi s obchisliti emociyi perebuvannya v naslidkovij situaciyi v s utochniti poperechinnu pam yat w a s w a s v s Ce sistema lishe z odnim vhodom situaciyeyu ta lishe odnim vihodom diyeyu abo povedinkoyu a Nemaye ani okremogo vvedennya pidkriplennya ani vvedennya poradi vid seredovisha Poshiryuvane zvorotno znachennya vtorinne pidkriplennya angl secondary reinforcement ce emociya shodo naslidkovoyi situaciyi PAM isnuye u dvoh seredovishah odne ce povedinkove seredovishe v yakomu vona povoditsya a inshe ce genetichne seredovishe zvidki vona spochatku j lishe odin raz otrimuye pochatkovi emociyi shodo situacij z yakimi mozhlivo zitknutisya v povedinkovomu seredovishi Pislya otrimannya genomnogo vidovogo vektora z genetichnogo seredovisha PAM navchayetsya cilespryamovanoyi povedinki v seredovishi sho mistit yak bazhani tak i nebazhani situaciyi 57 Navchannya oznak Redaguvati Dokladnishe Navchannya oznakKilka algoritmiv navchannya spryamovano na viyavlyannya krashih podan danih vhodu yaki nadhodyat pid chas trenuvannya 58 Do klasichnih prikladiv nalezhat metod golovnih komponent i klasternij analiz Algoritmi navchannya oznak angl feature learning takozh zvani algoritmami navchannya podan angl representation learning chasto namagayutsya zberigati informaciyu svoyih vhidnih danih ale takozh peretvoryuvati yiyi takim chinom shobi robiti yiyi korisnoyu chasto yak etap poperednoyi obrobki pered vikonannyam klasifikuvannya abo peredbachen Cya metodika umozhlivlyuye vidbudovuvannya danih vhodu sho nadhodyat iz nevidomogo rozpodilu yakij porodzhuye ci dani ne obov yazkovo dotrimuyuchis konfiguracij nepravdopodibnih dlya cogo rozpodilu Ce zaminyuye konstruyuvannya oznak vruchnu ta dozvolyaye mashini yak navchatisya oznak tak i vikoristovuvati yih dlya vikonannya konkretnogo zavdannya Navchannya oznak mozhe buti kerovanim abo nekerovanim U kerovanim navchanni oznak yih navchayut z vikoristannyam michenih danih vhodu Do prikladiv nalezhat shtuchni nejronni merezhi bagatosharovi perceptroni ta kerovane navchannya slovnikiv en Pri nekerovanim navchanni oznak yih navchayut nemichenimi danimi vhodu Do prikladiv nalezhat navchannya slovnikiv metod nezalezhnih komponent en avtokoduvalniki rozkladannya matric 59 ta rizni vidi klasteruvannya 60 61 62 Algoritmi navchannya mnogovidiv en namagayutsya robiti ce za obmezhennya shobi navchene podannya malo nizku rozmirnist Algoritmi rozridzhenogo koduvannya namagayutsya robiti ce za obmezhennya shobi navchene podannya bulo rozridzhenim tobto shobi matematichna model mistila bagato nuliv Algoritmi navchannya polilinijnih pidprostoriv en spryamovano na navchannya podan nizkoyi rozmirnosti bezposeredno z tenzornih podan dlya bagatovimirnih danih bez pereformovuvannya yih u vektori vishoyi rozmirnosti 63 Algoritmi glibokogo navchannya viyavlyayut dekilka rivniv podannya abo iyerarhiyu oznak iz abstraktnishimi oznakami vishogo rivnya viznachenimi v terminah oznak nizhchogo rivnya abo porodzhuvanimi nimi Stverdzhuvali sho rozumna mashina ce taka sho navchayetsya podannya yake rozplutuye chinniki minlivosti angl factors of variation sho lezhit v osnovi danih yaki poyasnyuyut sposterezhuvani dani 64 Navchannya oznak sponukayetsya faktom sho zavdannya mashinnogo navchannya taki yak klasifikuvannya chasto vimagayut danih vhodu matematichno ta obchislyuvalno zruchnih dlya obrobki Prote dani realnogo svitu taki yak zobrazhennya video ta davachevi dani ne piddalisya sprobam viznachiti konkretni oznaki algoritmichno Alternativoyu ye viyavlyati taki oznaki abo podannya shlyahom doslidzhennya ne pokladayuchis na yavni algoritmi Navchannya rozridzhenih slovnikiv Redaguvati Dokladnishe Navchannya rozridzhenih slovnikiv en Navchannya rozridzhenih slovnikiv angl sparse dictionary learning ce metod navchannya oznak u yakomu trenuvalnij priklad podayut linijnoyu kombinaciyeyu bazisnih funkcij i vvazhayut rozridzhenoyu matriceyu Cej metod strogo NP povnij en i jogo vazhko rozv yazuvati nablizheno 65 Populyarnij evristichnij metod navchannya rozridzhenih slovnikiv algoritm K SRM en angl K SVD Navchannya rozridzhenih slovnikiv zastosovuvali v kilkoh kontekstah U klasifikuvanni zadacha polyagaye u viznachenni klasu do yakogo nalezhit ranishe nebachenij trenuvalnij priklad Dlya slovnika de kozhen klas uzhe pobudovano novij trenuvalnij priklad pov yazuyetsya z klasom u slovniku yakogo jogo rozridzheno podano najkrashe Navchannya rozridzhenih slovnikiv takozh zastosovuvali dlya zneshumlyuvannya zobrazhen Klyuchova ideya polyagaye v tomu sho chistij klaptik zobrazhennya mozhe buti rozridzheno podano slovnikom zobrazhen a shum ni 66 Viyavlyannya anomalij Redaguvati Dokladnishe Viyavlyannya anomalijU dobuvanni danih viyavlyannya anomalij angl anomaly detection vidome takozh yak viyavlyannya vikidiv angl outlier detection ce identifikuvannya ridkisnih elementiv podij abo sposterezhen sho viklikayut pidozri znachno vidriznyayuchis vid bilshosti danih 67 Zazvichaj anomalni elementi podayut taki problemi yak bankivske shahrajstvo en strukturnij defekt medichni problemi abo pomilki v teksti Anomaliyi nazivayut vikidami angl outliers noviznoyu angl novelties shumom vidhilennyami ta vinyatkami 68 Zokrema v konteksti viyavlyannya zlovzhivan i merezhnih vtorgnen cikavi ob yekti ce chasto ne ridkisni ob yekti a nespodivani spleski bezdiyalnosti Cya osoblivist povedinki ne vidpovidaye zagalnoprijnyatomu statistichnomu viznachennyu vikidu yak ridkisnogo ob yekta Bagato metodiv viyavlyannya vikidiv zokrema nekerovani algoritmi dadut zbij na takih danih yaksho yih ne agreguvati nalezhnim chinom Natomist algoritm klasternogo analizu mozhe viyaviti mikroklasteri utvoreni cimi osoblivostyami povedinki 69 Isnuye tri veliki kategoriyi metodik viyavlyannya anomalij 70 Metodiki nekerovanogo viyavlyannya anomalij viyavlyayut anomaliyi v nemichenomu nabori viprobuvalnih danih za pripushennya sho bilshist primirnikiv u nabori danih normalni shlyahom poshuku primirnikiv yaki vidayutsya najmensh dopasovanimi do reshti naboru danih Metodiki kerovanogo viyavlyannya anomalij vimagayut naboru danih michenih yak normalno j nenormalno i zaluchayut navchannya klasifikatora klyuchova vidminnist vid bagatoh inshih zadach statistichnogo klasifikuvannya polyagaye v nezbalansovanij prirodi viyavlyannya vikidiv Metodiki napivkerovanogo viyavlyannya anomalij stvoryuyut model sho podaye normalnu povedinku na osnovi zadanogo normalnogo naboru trenuvalnih danih a potim pereviryayut pravdopodibnist stvorennya modellyu viprobuvalnogo primirnika Navchannya robotiv Redaguvati Navchannya robotiv nathneno bezlichchyu metodiv mashinnogo navchannya pochinayuchi vid kerovanogo navchannya navchannya z pidkriplennyam 71 72 i zakinchuyuchi metanavchannyam napriklad modeleagnostichne metanavchannya MAMN angl MAML Asociativni pravila Redaguvati Dokladnishe Navchannya asociativnih pravilDiv takozh Induktivne logichne programuvannya en Navchannya asociativnih pravil angl association rule learning ce metod mashinnogo navchannya na osnovi pravil dlya viyavlyannya vzayemozv yazkiv mizh zminnimi u velikih bazah danih Jogo priznacheno dlya viznachannya silnih pravil viyavlenih u bazah danih z vikoristannyam pevnoyi miri cikavosti angl interestingness 73 Mashinne navchannya na osnovi pravil angl rule based machine learning ce zagalnij termin dlya bud yakogo metodu mashinnogo navchannya yakij viznachaye vivchaye abo vivodit pravila dlya zberigannya manipulyuvannya abo zastosuvannya znan Viznachalnoyu harakteristikoyu algoritmu mashinnogo navchannya na osnovi pravil ye vstanovlyuvannya ta vikoristannya naboru relyacijnih pravil yaki sukupno podayut vlovleni sistemoyu znannya Ce vidminnist vid inshih algoritmiv mashinnogo navchannya yaki zazvichaj viznachayut odinichnu model yaku mozhlivo universalno zastosovuvati do bud yakogo primirnika shobi zrobiti peredbachennya 74 Do pidhodiv mashinnogo navchannya na osnovi pravil nalezhat sistemi navchannya klasifikatoriv en navchannya asociativnih pravil ta shtuchni imunni sistemi Gruntuyuchis na ponyatti silnih pravil Rakesh Agraval en Tomash Imelinskij en ta Arun Svami zaprovadili asociativni pravila dlya viyavlyannya zakonomirnostej mizh produktami u velikomasshtabnih danih tranzakcij zapisanih sistemami tochok prodazhu en u supermarketah 75 Napriklad pravilo o n i o n s p o t a t o e s b u r g e r displaystyle mathrm onions potatoes Rightarrow mathrm burger nbsp znajdene v danih pro prodazhi supermarketu vkazuvatime na te sho yaksho kliyent kupuye razom cibulyu ta kartoplyu vin imovirno kupit takozh i m yaso dlya gamburgeriv Taku informaciyu mozhlivo vikoristovuvati yak osnovu dlya uhvalennya rishen shodo marketingovih zahodiv takih yak reklamni cini chi rozmishennya produkciyi Na dodachu do analizu rinkovogo koshika en asociativni pravila sogodni zastosovuyut u takih sferah zastosuvannya yak rozroblennya veb koristuvannya angl web usage mining viyavlyannya vtorgnen bezperervne virobnictvo ta bioinformatika Na vidminu vid rozroblennya poslidovnostej en angl sequence mining navchannya asociativnih pravil zazvichaj ne vrahovuye poryadok elementiv u tranzakciyi chi mizh tranzakciyami Sistemi navchannya klasifikatoriv angl learning classifier systems LCS ce simejstvo algoritmiv mashinnogo navchannya na osnovi pravil yaki poyednuyut vidkrivalnu skladovu zazvichaj genetichnij algoritm z navchalnoyu skladovoyu sho vikonuye kerovane navchannya navchannya z pidkriplennyam abo nekerovane navchannya Voni pragnut viznachiti nabir kontekstnozalezhnih pravil yaki sukupno zberigayut ta zastosovuyut znannya kuskovim chinom shob robiti peredbachennya 76 Induktivne logichne programuvannya en ILP angl Inductive logic programming ILP ce pidhid do navchannya pravil iz zastosuvannyam logichnogo programuvannya yak universalnogo podannya vhidnih prikladiv bazovih znan ta gipotez Mayuchi koduvannya vidomih bazovih znan ta naboru prikladiv podanih yak logichna baza danih faktiv sistema ILP vivoditime gipotetichnu logichnu programu yaka maye naslidkami vsi pozitivni prikladi j zhodnogo z negativnih Induktivne programuvannya en angl inductive programming ce sporidnena galuz u yakij dlya podannya gipotez rozglyadayut bud yaki movi programuvannya a ne lishe logichne programuvannya napriklad funkcijni programi Induktivne logichne programuvannya osoblivo korisne v bioinformatici ta obrobci prirodnoyi movi Gordon Plotkin en ta Ehud Shapiro en zaklali pochatkovu teoretichnu osnovu dlya induktivnogo mashinnogo navchannya v logichnij postanovci 77 78 79 1981 roku Shapiro stvoriv svoye pershe vtilennya sistemu visnovuvannya modelej angl Model Inference System programu movoyu Prolog yaka induktivno visnovuvala logichni programi z pozitivnih ta negativnih prikladiv 80 Termin induktivnij tut vidnositsya do filosofskoyi indukciyi sho proponuye teoriyu dlya poyasnennya sposterezhuvanih faktiv a ne do matematichnoyi indukciyi sho dovodit vlastivist dlya vsih chleniv dobre vporyadkovanoyi mnozhini Modeli Redaguvati Vikonannya mashinnogo navchannya mozhe peredbachuvati stvorennya modeli yaka trenuyetsya na deyakih trenuvalnih danih a potim mozhe obroblyati dodatkovi dani dlya peredbachuvannya Dlya sistem mashinnogo navchannya vikoristovuvali ta doslidzhuvali rizni tipi modelej Shtuchni nejronni merezhi Redaguvati Dokladnishe Shtuchna nejronna merezhaDiv takozh Gliboke navchannya nbsp Shtuchna nejronna merezha ce vzayemoz yednana grupa vuzliv podibna do velicheznoyi merezhi nejroniv u mozku Tut kozhen kruglij vuzol poznachuye shtuchnij nejron a strilka poznachuye z yednannya vid vihodu odnogo shtuchnogo nejrona do vhodu inshogo Shtuchni nejronni merezhi ShNM angl artificial neural networks ANN abo konekcionistski sistemi ce obchislyuvalni sistemi desho nathnenni biologichnimi nejronnimi merezhami yaki skladayut mozok tvarin Taki sistemi vchatsya vikonuvati zavdannya rozglyadayuchi prikladi yak pravilo bez programuvannya bud yakimi specifichnimi dlya zavdan pravilami ShNM ce model sho gruntuyetsya na sukupnosti z yednanih vuzliv zvanih shtuchnimi nejronami angl artificial neurons yaki priblizno modelyuyut nejroni biologichnogo mozku Kozhne z yednannya yak sinapsi v biologichnomu mozku mozhe peredavati informaciyu signal vid odnogo shtuchnogo nejrona do inshogo Shtuchnij nejron yakij otrimuye signal mozhe obrobiti jogo a potim signalizuvati dodatkovim shtuchnim nejronam z yakimi jogo z yednano U zvichajnih vtilennyah ShNM signal na z yednanni mizh shtuchnimi nejronami ce dijsne chislo a vihid kozhnogo shtuchnogo nejrona obchislyuyetsya deyakoyu nelinijnoyu funkciyeyu sumi jogo vhodiv Z yednannya mizh shtuchnimi nejronami nazivayut rebrami angl edges Shtuchni nejroni ta rebra zazvichaj mayut vagu en angl weight yaka pidlashtovuyetsya v perebigu navchannya Vaga pidvishuye abo znizhuye silu signalu na z yednanni Shtuchni nejroni mozhut mati porig takij sho signal nadsilayetsya lishe todi koli sukupnij signal dolaye cej porig Yak pravilo shtuchni nejroni vporyadkovuyut u shari angl layers Rizni shari mozhut vikonuvati rizni vidi peretvoren svoyih vhodiv Signali prohodyat vid pershogo sharu riven vhodu do ostannogo riven vihodu mozhlivo pislya kilkarazovogo prohodzhennya shariv Pervinna meta pidhodu ShNM polyagala v rozv yazuvanni zadach tak samo yak ce robiv bi lyudskij mozok Prote z chasom uvaga peremistilasya na vikonannya konkretnih zavdan sho prizvelo do vidhilen vid biologiyi Shtuchni nejronni merezhi vikoristovuvali dlya bagatoh zavdan vklyuchno z komp yuternim bachennyam rozpiznavannyam movlennya mashinnim perekladom filtruvannyam socialnih merezh nastilnimi ta videoigrami en ta medichnim diagnostuvannyam Gliboke navchannya angl deep learning skladayetsya z chislennih prihovanih shariv u shtuchnij nejronnij merezhi Cej pidhid namagayetsya zmodelyuvati te yak lyudskij mozok peretvoryuye svitlo ta zvuk u bachennya ta sluh Sered uspishnih zastosuvan glibokogo navchannya komp yuterne bachennya ta rozpiznavannya movlennya 81 Dereva rishen Redaguvati Dokladnishe Navchannya derev rishen nbsp Derevo rishen yake pokazuye jmovirnist vizhivannya pasazhiriv na TitanikuNavchannya derev rishen angl decision tree learning vikoristovuye derevo rishen yak peredbachuvalnu model dlya perehodu vid sposterezhen pro ob yekt podanih u gilkah do visnovkiv shodo cilovogo znachennya dlya ob yekta podanogo u listkah Ce odin iz pidhodiv do peredbauvalnogo modelyuvannya yakij vikoristovuyut u statistici dobuvanni danih ta mashinnomu navchanni Derevni modeli de cilova zminna mozhe nabuvati diskretnogo naboru znachen nazivayut klasifikacijnimi derevami angl classification trees u cih derevnih strukturah listki podayut mitki klasiv a gilki podayut kon yunkciyi oznak yaki vedut do cih mitok klasiv Dereva rishen de cilova zminna mozhe nabuvati neperervnih znachen zazvichaj dijsnih chisel nazivayut regresijnimi derevami angl regression trees V analizi rishen derevo rishen mozhlivo vikoristovuvati dlya vizualnogo ta yavnogo podannya rishen ta uhvalennya rishen V dobuvanni danih derevo rishen opisuye dani ale otrimane klasifikacijne derevo mozhe buti vhodom dlya uhvalyuvannya rishen Opornovektorni mashini Redaguvati Dokladnishe Opornovektorna mashinaOpornovektorni mashini OVM angl support vector machines SVM takozh vidomi yak opornovektorni merezhi angl support vector networks ta metod opornih vektoriv ce nabir pov yazanih metodiv kerovanogo navchannya yaki vikoristovuyut dlya klasifikuvannya ta regresiyi Mayuchi nabir trenuvalnih prikladiv kozhen z yakih poznacheno yak nalezhnij do odniyeyi z dvoh kategorij algoritm trenuvannya OVM buduye model yaka peredbachuye chi nalezhit novij priklad do odniyeyi kategoriyi 82 Algoritm trenuvannya OVM nejmovirnisnij binarnij linijnij klasifikator hocha isnuyut taki metodi yak masshtabuvannya Platta en dlya vikoristannya OVM u postanovci jmovirnisnogo klasifikuvannya Na dodachu do vikonannya linijnogo klasifikuvannya OVM mozhut efektivno vikonuvati nelinijne klasifikuvannya z vikoristannyam tak zvanogo yadrovogo tryuku sho neyavno vidobrazhuye yihni vhodi do prostoriv oznak visokoyi rozmirnosti Regresijnij analiz Redaguvati Dokladnishe Regresijnij analiz nbsp Ilyustraciya linijnoyi regresiyi na nabori danihRegresijnij analiz angl regression analysis ohoplyuye velikij spektr statistichnih metodiv dlya ocinyuvannya zv yazku mizh vhidnimi zminnimi ta pov yazanimi z nimi oznakami Jogo najposhirenishim vidom ye linijna regresiya de malyuyetsya odna liniya yaka najkrashe dopasovuyetsya do zadanih danih vidpovidno do matematichnogo kriteriyu takogo yak zvichajni najmenshi kvadrati en Ostannij chasto rozshiryuyut za dopomogoyu metodiv regulyarizaciyi shobi pom yakshuvati nadmirne dopasovuvannya ta zmishennya yak u grebenevij regresiyi Koli sprava jde z nelinijnimi zadachami do osnovnih modelej nalezhat polinomialna regresiya napriklad vzhivana dlya dopasovuvannya liniyi trendu v Microsoft Excel 83 logistichna regresiya chasto vzhivana u statistichnomu klasifikuvanni abo navit yadrova regresiya en yaka zaprovadzhuye nelinijnist koristuyuchis yadrovim tryukom dlya neyavnogo vidobrazhennya vhidnih zminnih do prostoru vishoyi rozmirnosti Bayesovi merezhi Redaguvati Dokladnishe Bayesova merezha nbsp Prosta bayesova merezha Dosh vplivaye na vmikannya obpriskuvacha i yak dosh tak i obpriskuvach vplivayut na te chi mokra trava Bayesova merezha angl Bayesian network merezha perekonan angl belief network abo oriyentovana aciklichna grafova model angl directed acyclic graphical model ce jmovirnisna grafova model yaka podaye nabir vipadkovih velichin ta yihnih umovnih nezalezhnostej en za dopomogoyu oriyentovanogo aciklichnogo grafa OAG angl directed acyclic graph DAG Napriklad bayesova merezha mozhe podavati jmovirnisni zv yazki mizh zahvoryuvannyami ta simptomami Za nayavnih simptomiv cyu merezhu mozhlivo vikoristovuvati dlya obchislennya jmovirnosti nayavnosti riznih zahvoryuvan Isnuyut efektivni algoritmi yaki vikonuyut visnovuvannya j navchannya Bayesovi merezhi sho modelyuyut poslidovnosti zminnih napriklad signali movlennya abo bilkovi poslidovnosti nazivayut dinamichnimi bayesovimi merezhami Uzagalnennya bayesovih merezh yaki mozhut podavati j rozv yazuvati zadachi uhvalyuvannya rishen v umovah neviznachenosti nazivayut diagramami vplivu en Gaussovi procesi Redaguvati Dokladnishe Gaussiv proces nbsp Priklad regresiyi gaussovogo procesu peredbachennya u porivnyanni z inshimi regresijnimi modelyami 84 Gaussiv proces angl Gaussian process ce stohastichnij proces u yakomu kozhna skinchenna sukupnist vipadkovih zminnih u procesi maye bagatovimirnij normalnij rozpodil i vin gruntuyetsya na poperedno viznachenij kovariacijnij funkciyi en abo yadri angl kernel yake modelyuye yak pari tochok spivvidnosyatsya odna z odnoyu zalezhno vid yihnogo misceznahodzhennya Za zadanogo naboru sposterezhenih tochok abo prikladiv vhodiv vihodiv rozpodil nesposterezhuvanogo vihodu novoyi tochki yak funkciyu yiyi vhidnih danih mozhlivo bezposeredno obchisliti divlyachis na sposterezheni tochki ta kovariaciyi mizh cimi tochkami ta novoyu nebachenoyu tochkoyu Gaussovi procesi ce populyarni surogatni modeli v bayesovij optimizaciyi yaki vikoristovuyut shobi optimizuvati giperparametri Genetichni algoritmi Redaguvati Dokladnishe Genetichnij algoritmGenetichnij algoritm GA angl genetic algorithm GA ce algoritm poshuku ta evristichna metodika yaka imituye proces prirodnogo doboru vikoristovuyuchi taki metodi yak mutaciya en ta shreshuvannya shobi stvoryuvati novi genotipi u nadiyi znajti dobri rozv yazki pevnoyi zadachi U mashinnomu navchanni genetichni algoritmi vikoristovuvali v 1980 1990 h rokah 85 86 I navpaki metodiki mashinnogo navchannya vikoristovuvali shobi pokrashuvati produktivnist genetichnih ta evolyucijnih algoritmiv 87 Trenuvannya modelej Redaguvati Yak pravilo shobi mogti zdijsnyuvati tochni prognozi modeli mashinnogo navchannya vimagayut velikoyi kilkosti nadijnih danih Pri trenuvanni modeli mashinnogo navchannya inzheneram mashinnogo navchannya potribno namititi ta zibrati veliku ta reprezentativnu vibirku danih Dani trenuvalnogo naboru mozhut mati riznij harakter takij yak korpus tekstiv nabir zobrazhen danih davachiv chi danih zibranih z okremih koristuvachiv sluzhbi Pri trenuvanni modeli mashinnogo navchannya slid pilnuvati perenavchannya Natrenovani modeli otrimani z uperedzhenih abo neocinenih danih mozhut prizvoditi do vikrivlenih abo nebazhanih peredbachen Uperedzheni modeli mozhut prizvoditi do shkidlivih rezultativ vidtak posilyuyuchi negativnij vpliv na suspilstvo ta cili Potencijnim rezultatom togo sho dani ne bulo povnistyu pidgotovleno dlya navchannya mozhe stavati algoritmichne uperedzhennya en Etika mashinnogo navchannya staye galuzzyu doslidzhennya pomitno integrovanoyu v komandah inzheneriv mashinnogo navchannya Federativne navchannya Redaguvati Dokladnishe Federativne navchannya en Federativne navchannya angl federated learning ce pristosovana forma rozpodilenogo shtuchnogo intelektu en dlya trenuvannya modelej mashinnogo navchannya yaka decentralizuye proces trenuvannya dozvolyayuchi pidtrimuvati konfidencijnist koristuvachiv ne nadsilayuchi yihni dani do centralizovanogo servera Ce takozh pidvishuye efektivnist zavdyaki decentralizaciyi procesu trenuvannya na bagatoh pristroyah Napriklad Gboard vikoristovuye federativne mashinne navchannya dlya trenuvannya modelej peredbachuvannya poshukovih zapitiv na mobilnih telefonah koristuvachiv bez neobhidnosti nadsilati okremi poshukovi zapiti nazad do Google 88 Zastosuvannya RedaguvatiIsnuye bagato zastosuvan mashinnogo navchannya zokrema Avtomatizovane uhvalyuvannya rishen en Adaptivni vebsajti en Analiz povedinki koristuvachiv Analiz tonalnosti tekstu Analiz finansovih rinkiv 89 Anatomiya en Astronomiya en Bankivska diyalnist Bioinformatika Biheviorizm Viyavlyannya internet shahrajstv en Viyavlyannya shahrajstv iz kreditnimi kartkami Vkladannya grafiv znan en Gromadyanska nauka Dovedennya teorem Ekonomika Emocijni obchislennya en Internet reklama Informacijnij poshuk Keruvannya mashinnogo navchannya en Klasifikuvannya poslidovnostej DNK Klimatologiya Komp yuterne bachennya Komp yuterni merezhi en Kontrol utomnogo poshkodzhennya en Marketing Mashinne chuttya en Mashinnij pereklad Medichne diagnostuvannya en Movoznavstvo Nejrokomp yuterni interfejsi Obrobka prirodnoyi movi Optimizaciya Ohorona zdorov ya en Peresuvannya robotiv en Poshukovi sistemi Prognozuvannya chasovih ryadiv Programna inzheneriya Rekomendacijni sistemi Rozpiznavannya movlennya Rozpiznavannya rukopisnogo vvedennya Rozroblennya poslidovnostej en Rozuminnya prirodnoyi movi Sintaksichne rozpiznavannya obraziv en Silske gospodarstvo Strahuvannya Telekomunikaciyi Universalni igrovi programi en Hemoinformatika Yakist danih en 2006 roku provajder mediaposlug Netflix proviv pershe zmagannya Netflix Prize en shobi znajti programu yaka bi krashe peredbachuvala vpodobannya koristuvachiv ta pidvishila tochnist nayavnogo algoritmu porad filmiv Cinematch shonajmenshe na 10 Spilna komanda sho skladalasya z doslidnikiv z AT amp T Labs Research u spivpraci z komandami Big Chaos ta Pragmatic Theory stvorila ansamblevu model en otrimavshi 2009 roku golovnij priz sumoyu 1 miljon dolariv 90 Nevdovzi pislya vruchennya nagorodi Netflix zrozumili sho ocinki glyadachiv ne najkrashij pokaznik yihnih modelej pereglyadu use ye poradoyu j voni zminili svij mehanizm porad vidpovidnim chinom 91 2010 roku The Wall Street Journal pisala pro firmu Rebellion Research ta yiyi vikoristannya mashinnogo navchannya dlya prognozuvannya finansovoyi krizi 92 2012 roku spivzasnovnik Sun Microsystems Vinod Hosla en zrobiv prognoz sho v najblizhchi dva desyatilittya 80 robochih misc likariv bude vtracheno na korist avtomatizovanogo medichnogo diagnostichnogo programnogo zabezpechennya z mashinnim navchannyam 93 2014 roku bulo povidomleno sho algoritm mashinnogo navchannya bulo zastosovano v galuzi istoriyi mistectva dlya vivchennya obrazotvorchogo zhivopisu i sho vin mozhlivo viyaviv ranishe neviznani vplivi sered hudozhnikiv 94 2019 roku Springer Nature opublikuvav pershu doslidnicku knigu stvorenu za dopomogoyu mashinnogo navchannya 95 2020 roku tehnologiyu mashinnogo navchannya vikoristovuvali shobi dopomogti doslidnikam staviti diagnozi j rozroblyati liki vid COVID 19 96 Neshodavno mashinne navchannya bulo zastosovano dlya prognozuvannya proekologichnoyi povedinki mandrivnikiv 97 Neshodavno tehnologiyu mashinnogo navchannya bulo takozh zastosovano dlya optimizaciyi produktivnosti ta teplovoyi povedinki smartfoniv na osnovi vzayemodiyi koristuvacha z telefonom 98 99 100 Obmezhennya RedaguvatiNezvazhayuchi na te sho mashinne navchannya zminilo deyaki sferi programi mashinnogo navchannya chasto ne dayut ochikuvanih rezultativ 101 102 103 Prichin dlya cogo bagato brak pridatnih danih brak dostupu do danih uperedzhenist danih problemi konfidencijnosti nepravilno obrani zavdannya ta algoritmi nepravilni instrumenti ta lyudi brak resursiv i problemi z ocinyuvannyam 104 2018 roku bezpilotnij avtomobil vid Uber ne zmig viyaviti pishohoda yakij zaginuv pislya zitknennya 105 Sprobi vikoristati mashinne navchannya v ohoroni zdorov ya za dopomogoyu sistemi IBM Watson ne uvinchalisya uspihom navit pislya bagatoh rokiv i milyardiv dolariv investicij 106 107 Mashinne navchannya vikoristovuvali yak strategiyu dlya utochnennya svidchen pov yazanih iz sistematichnim recenzuvannyam i zbilshennyam navantazhennya na recenzentiv u zv yazku zi zbilshennyam biomedichnoyi literaturi Hocha vono pokrashilosya za dopomogoyu trenuvalnih naboriv vono she ne rozvinuvsya dostatno shobi zmenshiti roboche navantazhennya bez obmezhennya neobhidnoyi chutlivosti dlya samih doslidzhen rezultativ 108 Uperedzhennya Redaguvati Dokladnishe Algoritmichne uperedzhennya en Pidhodi mashinnogo navchannya zokrema mozhut strazhdati vid riznih uperedzhen danih angl data biases Sistema mashinnogo navchannya natrenovana konkretno na potochnih kliyentah mozhe viyavitisya nezdatnoyu peredbachiti potrebi novih grup kliyentiv ne podanih u trenuvalnih danih Pri navchanni na stvorenih lyudmi danih mashinne navchannya shvidshe za vse pidhopit konstitucijni ta nesvidomi uperedzhennya yaki vzhe prisutni v suspilstvi 109 Bulo pokazano sho movni modeli navcheni z danih mistyat lyudski uperedzhennya 110 111 Viyavilosya sho sistemi mashinnogo navchannya yaki vikoristovuyut dlya ocinyuvannya kriminalnogo riziku uperedzheni do temnoshkirih lyudej 112 113 2015 roku Google na fotografiyah chasto poznachuvala temnoshkirih lyudej yak goril 114 i 2018 roku ce vse she ne bulo rozv yazano yak slid a yak bulo povidomleno Google natomist vikoristovuvala obhidnij shlyah usuvayuchi vsih goril iz trenuvalnih danih i tomu bula vzagali nezdatna rozpiznati spravzhnih goril 115 Podibni problemi z rozpiznavannyam nebilih lyudej bulo viyavleno v bagatoh inshih sistemah 116 2016 roku Microsoft protestuvala chat bota yakij navchavsya z Twitter i vin shvidko pidhopiv rasistsku ta seksistsku movu 117 Cherez taki vikliki efektivne vikoristannya mashinnogo navchannya v deyakih oblastyah mozhe zajmati bilshe chasu 118 Zanepokoyennya shodo spravedlivosti en u mashinnomu navchanni tobto zmenshennya uperedzhenosti v mashinnomu navchanni ta spriyannya jogo vikoristannyu dlya blaga lyudini vse chastishe vislovlyuyut naukovci zi shtuchnogo intelektu zokrema Fej Fej Li yaka nagaduye inzheneram sho U ShI nemaye nichogo shtuchnogo Vin nathnennij lyudmi vin stvorenij lyudmi i sho najvazhlivishe vin vplivaye na lyudej Ce potuzhnij instrument yakij mi lishe pochinayemo rozumiti i ce velika vidpovidalnist 119 Poyasnennist Redaguvati Dokladnishe Poyasnennij shtuchnij intelektPoyasne nnij ShI angl Explainable AI XAI abo interpretovnij ShI angl Interpretable AI abo poyasnenne mashinne navchannya angl Explainable Machine Learning XML ce shtuchnij intelekt ShI v yakomu lyudi mozhut rozumiti rishennya abo peredbachennya zrobleni cim ShI 120 Ce kontrastuye z koncepciyeyu chornoyi skrinki v mashinnomu navchanni de navit yiyi rozrobniki ne mozhut poyasniti chomu ShI prijshov do pevnogo rishennya 121 Udoskonalyuyuchi mentalni modeli koristuvachiv sistem na osnovi ShI ta rujnuyuchi yihni hibni uyavlennya poyasnennij ShI obicyaye dopomogti koristuvacham diyati efektivnishe Poyasnennij ShI mozhe buti vtilennyam socialnogo prava na poyasnennya Perenavchannya Redaguvati Dokladnishe Perenavchannya nbsp Sinya liniya mozhe buti prikladom perenavchannya linijnoyi funkciyi cherez vipadkovij shum Shilyannya do poganoyi pereuskladnenoyi teoriyi shiblenoyi takim chinom shobi vidpovidati vsim minulim trenuvalnim danim nazivayut perenavchannyam Bagato sistem namagayutsya znizhuvati perenavchannya vinagorodzhuyuchi teoriyu vidpovidno do togo naskilki dobre vona dopasovuyetsya do danih ale shtrafuyuchi teoriyu vidpovidno do togo naskilki vona skladna 10 Inshi obmezhennya ta vrazlivosti Redaguvati Uchni takozh mozhut rozcharovuvati vivchivshi ne toj urok Igrashkovij priklad klasifikator zobrazhen navchenij lishe na zobrazhennyah korichnevih konej i chornih kotiv mozhe zrobiti visnovok sho vsi korichnevi plyami jmovirno ye kinmi 122 Priklad iz realnogo svitu polyagaye v tomu sho na vidminu vid lyudej suchasni klasifikatori zobrazhen chasto roblyat visnovki ne na osnovi prostorovih vidnosin mizh skladovimi zobrazhennya a navchayutsya zv yazkiv mizh pikselyami yakih lyudi ne pomichayut ale yaki vse odno korelyuyut iz zobrazhennyami okremih vidiv realnih ob yektiv Zmina cih vizerunkiv na zakonnomu zobrazhenni mozhe prizvesti do zmagalnih angl adversarial zobrazhen yaki sistema klasifikuye nepravilno 123 124 Zmagalni vrazlivosti takozh mozhut vinikati v nelinijnih sistemah abo viplivati z neshablonnih zburen Deyaki sistemi nastilki krihki sho zmina odnogo zmagalnogo pikselya peredbachuvano sprichinyuye hibnu klasifikaciyu dzherelo Modeli mashinnogo navchannya chasto vrazlivi do manipulyacij ta abo uhilennya cherez zmagalne mashinne navchannya en 125 Doslidniki prodemonstruvali yak mozhlivo nepomitno rozmishuvati chorni hodi v klasifikuvalnih napriklad dopisiv yak spam ta dobre vidimih ne spam modelej mashinnogo navchannya yaki chasto rozroblyayut ta abo trenuyut treti storoni Storoni mozhut zminiti klasifikaciyu bud yakogo vhodu zokrema u vipadkah dlya yakih zabezpechuyetsya pevnij tip prozorosti danih programnogo zabezpechennya en mozhlivo vklyuchno z dostupom do biloyi skrinki 126 127 128 Ocinyuvannya modelej RedaguvatiKlasifikaciyu modelej mashinnogo navchannya mozhlivo zatverdzhuvati za dopomogoyu metodik ocinyuvannya tochnosti takih yak metod pritrimuvannya angl holdout yakij rozbivaye dani na trenuvalnij ta viprobuvalnij nabori zazvichaj 2 3 trenuvalnogo naboru ta 1 3 viprobuvalnogo j ocinyuye produktivnist trenovanoyi modeli na viprobuvalnomu nabori Dlya porivnyannya metod K kratnogo perehresnogo zatverdzhuvannya angl K fold cross validation vipadkovim chinom rozbivaye dani na K pidmnozhin a potim vikonuye K eksperimentiv kozhen vidpovidno z 1 pidmnozhinoyu dlya ocinyuvannya ta reshtoyu K 1 pidmnozhin dlya trenuvannya modeli Na dodachu do metodiv pritrimuvannya ta perehresnogo zatverdzhuvannya dlya ocinyuvannya tochnosti modeli mozhlivo vikoristovuvati natyazhku angl bootstrap yaka vibiraye z naboru danih n primirnikiv iz zaminoyu 129 Na dodachu do zagalnoyi tochnosti angl accuracy doslidniki chasto povidomlyayut chutlivist ta specifichnist angl sensitivity and specificity sho oznachayut istinnopozitivnij riven IPR angl True Positive Rate TPR ta istinnonegativnij riven INR angl True Negative Rate TNR vidpovidno Analogichno doslidniki inodi povidomlyayut hibnopozitivnij riven HPR angl false positive rate FPR a takozh hibnonegativnij riven HNR angl false negative rate FNR Prote ci rivni ce vidnoshennya yaki ne rozkrivayut svoyih chiselnikiv ta znamennikiv Odnim z efektivnih metodiv virazhennya diagnostichnoyi spromozhnosti modeli ye zagalna robocha harakteristika en ZRH angl total operating characteristic TOC ZRH pokazuye chiselniki ta znamenniki zaznachenih vishe rivniv takim chinom ZRH nadaye bilshe informaciyi nizh zagalnovzhivana robocha harakteristika prijmacha RHP angl receiver operating characteristic ROC ta pov yazana z RHP plosha pid ciyeyu krivoyu PPK angl area under the curve AUC 130 Etika RedaguvatiDiv takozh Problema kontrolyu nad ShI en Torontska deklaraciya en ta Etika shtuchnogo intelektu Mashinne navchannya stavit bezlich etichnih pitan Sistemi trenovani na naborah danih zibranih z uperedzhennyami mozhut proyavlyati ci uperedzhennya pri vikoristanni algoritmichne uperedzhennya en ocifrovuyuchi takim chinom kulturni zaboboni 131 Napriklad 1988 roku britanska komisiya z pitan rasovoyi rivnosti viyavila sho medichna shkola sv Georgiya vikoristovuvala komp yuternu programu natrenovanu na osnovi danih poperednogo personalu prijmalnoyi komisiyi j cya programa vidmovila majzhe 60 kandidatam yaki buli abo zhinkami abo mali neyevropejski imena 109 Vikoristannya danih pro najmannya na robotu vid firmi z rasistskoyu politikoyu najmu mozhe prizvesti do togo sho sistema mashinnogo navchannya dublyuvatime cyu uperedzhenist ocinyuyuchi pretendentiv na posadu za shozhistyu z poperednimi uspishnimi kandidatami 132 133 Takim chinom vidpovidalne zbirannya danih ta dokumentuvannya algoritmichnih pravil yaki vikoristovuye sistema ye kritichno vazhlivoyu chastinoyu mashinnogo navchannya ShI mozhe buti dobre osnashenim dlya uhvalyuvannya rishen u tehnichnih sferah yaki znachnoyu miroyu pokladayutsya na dani ta istorichnu informaciyu Ci rishennya spirayutsya na ob yektivnist i logichnu argumentaciyu 134 Oskilki lyudski movi mistyat uperedzhennya mashini navcheni na movnih korpusah tekstiv obov yazkovo takozh navchatsya cih uperedzhen 135 136 Inshi vidi etichnih viklikiv ne pov yazanih z osobistimi uperedzhennyami sposterigayutsya v ohoroni zdorov ya Sered medichnih pracivnikiv ye zanepokoyennya sho ci sistemi mozhe buti rozrobleno ne v interesah suspilstva a yak mashini dlya otrimuvannya dohodu 137 Osoblivo ce stosuyetsya Spoluchenih Shtativ de isnuye davnya etichna dilema shodo pokrashennya ohoroni zdorov ya ale takozh i zbilshennya pributkiv Napriklad algoritmi mozhe buti rozrobleno dlya vipisuvannya paciyentam nepotribnih testiv abo likiv u yakih vlasniki algoritmu mayut chastku V mashinnogo navchannya v ohoroni zdorov ya isnuye potencial nadati fahivcyam dodatkovij instrument dlya diagnostuvannya likuvannya ta planuvannya shlyahiv oduzhannya paciyentiv ale dlya cogo potribno pom yakshuvati ci uperedzhennya 138 Aparatne zabezpechennya RedaguvatiPochinayuchi z 2010 h rokiv progres yak v algoritmah mashinnogo navchannya tak i v komp yuternomu obladnanni prizviv do poyavi efektivnishih metodiv trenuvannya glibokih nejronnih merezh osoblivoyi vuzkoyi pidoblasti mashinnogo navchannya yaki mistyat bagato shariv nelinijnih prihovanih vuzliv 139 Do 2019 roku grafichni procesori GP chasto zi specialnimi vdoskonalennyami dlya ShI vitisnili CP yak panivnij metod trenuvannya velikomasshtabnogo komercijnogo hmarnogo ShI 140 OpenAI ocinila aparatni obchislennya yaki vikoristovuvali v najbilshih proyektah glibokogo navchannya vid AlexNet 2012 i do AlphaZero 2017 i viyavila 300 000 kratne zbilshennya neobhidnogo obsyagu obchislen iz tendenciyeyu podvoyennya chasu kozhni 3 4 misyaci 141 142 Nejromorfni fizichni nejronni merezhi Redaguvati Fizichna nejronna merezha en angl physical neural network abo nejromorfnij komp yuter en angl Neuromorphic computer ce odin iz vidiv shtuchnih nejronnih merezh u yakomu vikoristovuyut elektrichno pidlashtovuvanij material dlya imituvannya funkciyuvannya nejronnogo sinapsa Termin fizichna nejronna merezha vikoristovuyut shobi pidkresliti zalezhnist vid fizichnogo aparatnogo zabezpechennya yake vikoristovuyut dlya imituvannya nejroniv na protivagu do programnih pidhodiv Zagalnishe cej termin zastosovnij i do inshih shtuchnih nejronnih merezh u yakih vikoristovuyut memristor abo inshij elektrichno pidlashtovuvanij opirnij material shob imituvati nejronnij sinaps 143 144 Vbudovuvane mashinne navchannya Redaguvati Vbudovane mashinne navchannya angl Embedded Machine Learning ce pidgaluz mashinnogo navchannya de model mashinnogo navchannya pracyuye na vbudovanih sistemah z obmezhenimi obchislyuvalnimi resursami yak ot nosimih komp yuterah krajovih pristroyah en ta mikrokontrolerah 145 146 147 Ekspluataciya modeli mashinnogo navchannya u vbudovanih pristroyah usuvaye neobhidnist peredavannya j zberigannya danih na hmarnih serverah dlya podalshoyi obrobki vidtak zmenshuyuchi virivannya danih ta protikannya konfidencijnosti sho vidbuvayutsya cherez peredavannya danih a takozh zvodit do minimumu kradizhku intelektualnoyi vlasnosti osobistih danih ta komercijnih tayemnic Vbudovuvane mashinne navchannya mozhlivo zastosovuvati za dopomogoyu kilkoh metodik vklyuchno z aparatnim priskorennyam 148 149 vikoristannyam nablizhenih obchislen en 150 optimizuvannyam modelej mashinnogo navchannya ta bagatma inshimi 151 152 Programne zabezpechennya RedaguvatiDo programnih paketiv sho mistyat riznomanitni algoritmi mashinnogo navchannya nalezhat nastupni Vilne ta vidkrite programne zabezpechennya Redaguvati Caffe Deeplearning4j DeepSpeed en ELKI en Google JAX en Infer NET en Keras Kubeflow en LightGBM en Mahout en Mallet en Microsoft Cognitive Toolkit ML NET en mlpack en MLFlow MXNet OpenNN en Orange en pandas ROOT TMVA z ROOT scikit learn Shogun en Spark MLlib SystemML en TensorFlow Torch PyTorch Weka MOA en XGBoost Yooreeka en Vlasnicke programne zabezpechennya z vilnimi abo vidkritimi redakciyami Redaguvati KNIME en RapidMiner en Vlasnicke programne zabezpechennya Redaguvati Amazon Machine Learning Angoss en KnowledgeSTUDIO Azure Machine Learning Ayasdi IBM Watson Studio en Google Cloud Vertex AI en Google Prediction API en IBM SPSS Modeler en KXEN Modeler LIONsolver en Mathematica MATLAB Neural Designer en NeuroSolutions en Oracle Data Mining en Oracle AI Platform Cloud Service en PolyAnalyst en RCASE en SAS Enterprise Miner en SequenceL en Splunk STATISTICA Data MinerZhurnali Redaguvati Journal of Machine Learning Research Machine Learning Nature Machine Intelligence Neural Computation en IEEE Transactions on Pattern Analysis and Machine Intelligence en Konferenciyi RedaguvatiKonferenciya ARShI zi shtuchnogo intelektu en Asociaciya z obchislyuvalnoyi lingvistiki en angl ACL Yevropejska konferenciya z mashinnogo navchannya ta principiv i praktiki viyavlyannya znan u bazah danih en angl ECML PKDD Mizhnarodna konferenciya z metodiv obchislyuvalnogo intelektu dlya bioinformatiki ta biostatistiki en angl CIBB Mizhnarodna konferenciya z mashinnogo navchannya en angl ICML Mizhnarodna konferenciya z navchannya podan angl ICLR Mizhnarodna konferenciya z intelektualnih robotiv ta sistem en angl IROS Konferenciya z viyavlyannya znan ta dobuvannya danih en angl KDD Konferenciya z nejronnih sistem obrobki informaciyi en angl NeurIPS Div takozh RedaguvatiAvtomatizovane mashinne navchannya proces avtomatizaciyi mashinnogo navchannya Veliki dani informacijni resursi harakterizovani velikim obsyagom shvidkistyu ta riznomanittyam Diferencijovne programuvannya en paradigma programuvannya Perelik vazhlivih publikacij z mashinnogo navchannya en Perelik naboriv danih dlya doslidzhen mashinnogo navchannya OAIS 2 0Primitki Redaguvati a b Ethem Alpaydin 2020 Introduction to Machine Learning angl vid Fourth MIT s xix 1 3 13 18 ISBN 978 0262043793 Viznachennya bez yavnogo programuvannya 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