 kindhi text ‌ nu andinchi ,  yea roeju bahulha - layer persep ‌ torn ‌ laku sikshnha ivvadaniki athantha prajaadaranha pondina addhatini anaku cheppandi mariyu adi elaa pania chestundo vivarinchandi 
 nedu ,  bahulha - pora par ‌ septran ‌ laku  (MLPs)  sikshnha ivvadaniki athantha prajaadaranha pondina paddathi byaak - propagation . " byaak - propagating errors "  aney padaanni  1962 loo franc rosen ‌ blaat parichayam Akola ,  ayithe dinni elaa amalu cheyalo atanaki theliyadu ,  ayinappatikee henrii  J.  kelliki  1960 loo niyanthrana siddhaantam nepathyamlo byaak ‌ propagation yokka nirantara puurvagaami Pali .  adhunika byaak ‌ propagation nijaniki seppo linnainma yokka sadarana rivers maud af automatic deferenciation  (1970)  anede nested deferenciable function ‌ l yokka vivikta konnect nett ‌ varey ‌ l choose .  idi vibhinnamaina nod ‌ l nett ‌ varey ‌ laku golusu niyamam  (1673 loo gaat ‌ fried will ‌ helm leibniz dwara teesukobadindi )  yokka samardhavanthamaina aplication . 1982 loo ,  pal verbose praamanikanga maarna vidhamgaa  MLP laku byaak ‌ propagation ‌ ni vartimpajesaadu . 1985 loo ,  davide  E.  rumel ‌ haart mariyu Bundi .  saanketikata yokka prayoogaathmaka vislaeshanhanu prachurinchindi .  tharuvaathi dasaabdaalaloo anek merugudalalu amalu cheyabaddaayi .

 byaak ‌ propagation samayamlo ,  konni mundhey nirvachimchina errar - function viilevanu ganinchadaaniki avut ‌ putt viluvalu saraina samaadhaanamtho polchabadathaayi .  lopam nett ‌ varey dwara tirigi ivvabaduthundi .  yea samaachaaraanni upayoginchi ,  algoritham lopam function yokka viilevanu kontha chinna motthamloo tagginchadaaniki prathi conection yokka baruvulanu sardubatu chesthundu .  thaginantha peddha sankhyalo sikshnhaa chakraala choose yea prakriyanu punaraavrutam chosen tarwata ,  nett ‌ varey saadharanamga gananala lopam thakkuvaga unna konni sthithiki kalustundi .  yea sandarbhamlo ,  nett ‌ varey ooka nirdishta lakshya vidhini neerchukundani okaru chebuthaaru .  baruvulanu sariggaa sardubatu cheyadanki , 1847 loo modhatisaarigaa suuchimchina agustin - luis kauchi kaaranamgaa gradient decent ani piluvabadee naane - liinear optimization choose ooka sadarana addhatini vartimpajestaaru .  deeni choose ,  nett ‌ varey lopam function yokka utpannaanni ganistundi nett ‌ varey baruvulu ,  mariyu baruvulanu marusthundhi antey lopam taggutumdi  ( tadwara lopam function yokka uparithalampai lotuvaipu velluthundhi ).  yea kaaranamgaa ,  deferencible activation function ‌ lu unna nett ‌ varey ‌ lalo Bara byaak - propagation vartinchabadutundi .
 nedu ,  bahulha - pora par ‌ septran ‌ laku  (MLPs)  sikshnha ivvadaniki athantha prajaadaranha pondina paddathi byaak - propagation .  byaak ‌ propagation samayamlo ,  konni mundhey nirvachimchina errar - function viilevanu ganinchadaaniki avut ‌ putt viluvalu saraina samaadhaanamtho polchabadathaayi .  lopam nett ‌ varey dwara tirigi ivvabaduthundi .  yea samaachaaraanni upayoginchi ,  algoritham lopam function yokka viilevanu chinna motthamloo tagginchadaaniki prathi conection yokka baruvulanu sardubatu chesthundu .  thaginantha peddha sankhyalo sikshnhaa chakraala choose yea prakriyanu punaraavrutam chosen tarwata ,  nett ‌ varey saadharanamga gananala lopam thakkuvaga unna sthithiki kalustundi .  yea sandarbhamlo ,  nett ‌ varey ooka nirdishta lakshya vidhini neerchukundani okaru chebuthaaru 