{"id":37955,"date":"2019-10-31T22:20:47","date_gmt":"2019-10-31T19:20:47","guid":{"rendered":"https:\/\/prohoster.info\/blog\/linejnaya-regressiya-i-metody-eyo-vosstanovleniya\/"},"modified":"2019-10-31T22:20:47","modified_gmt":"2019-10-31T19:20:47","slug":"linejnaya-regressiya-i-metody-eyo-vosstanovleniya","status":"publish","type":"post","link":"https:\/\/prohoster.info\/sq\/blog\/administrirovanie\/linejnaya-regressiya-i-metody-eyo-vosstanovleniya","title":{"rendered":"Regresioni linear dhe metodat e tij t\u00eb rikthimit","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

\"Regresioni
\nBurimi: xkcd<\/a><\/noindex><\/i><\/p>\n

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\n<\/a><\/noindex><\/p>\n

P\u00ebr \u00e7far\u00eb b\u00ebhet fjal\u00eb?<\/h3>\n

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\"Regresioni<\/p>\n

\n\u0422\u0435\u043f\u0435\u0440\u044c, \u0440\u0430\u0437 \u0443\u0436 \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u0430\u0433\u0430\u0435\u0442\u0441\u044f \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u044c, \u0434\u0430 \u043a \u0442\u043e\u043c\u0443 \u0436\u0435 \u0435\u0449\u0435 \u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f, \u0437\u0430\u043f\u0438\u0448\u0435\u043c \u043d\u0430\u0448\u0435 \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0432 \u0432\u0438\u0434\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u043c\u0430\u0442\u0440\u0438\u0446 (\u0434\u043b\u044f \u0443\u043f\u0440\u043e\u0449\u0435\u043d\u0438\u044f \u0437\u0430\u043f\u0438\u0441\u0438 \u0437\u0434\u0435\u0441\u044c \u0438 \u0434\u0430\u043b\u0435\u0435 \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u0430\u0433\u0430\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u044b\u0439 \u0447\u043b\u0435\u043d \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0441\u043a\u0440\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0437\u0430 \"Regresioni, \u0430 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \"Regresioni \u0441\u043e\u0434\u0435\u0440\u0436\u0438\u0442 \u0435\u0434\u0438\u043d\u0438\u0446\u044b):<\/p>\n

\"Regresioni<\/p>\n

\n\u041e\u0447\u0435\u043d\u044c \u043f\u043e\u0445\u043e\u0436\u0435 \u043d\u0430 \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439, \u043d\u0435 \u0442\u0430\u043a \u043b\u0438? \u041f\u043e\u0445\u043e\u0436\u0435, \u043d\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u0439 \u0443 \u0442\u0430\u043a\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441\u043a\u043e\u0440\u0435\u0435 \u0432\u0441\u0435\u0433\u043e \u043d\u0435 \u0431\u0443\u0434\u0435\u0442. \u041f\u0440\u0438\u0447\u0438\u043d\u043e\u0439 \u0442\u043e\u043c\u0443 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0448\u0443\u043c, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043f\u0440\u0438\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043f\u0440\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0432 \u043b\u044e\u0431\u044b\u0445 \u0440\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445. \u0422\u0430\u043a \u0436\u0435 \u043f\u0440\u0438\u0447\u0438\u043d\u043e\u0439 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043e\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0438\u0435 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u043a\u0430\u043a \u0442\u0430\u043a\u043e\u0432\u043e\u0439, \u0441 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043c\u043e\u0436\u043d\u043e \u043f\u044b\u0442\u0430\u0442\u044c\u0441\u044f \u0431\u043e\u0440\u043e\u0442\u044c\u0441\u044f \u0432\u0432\u0435\u0434\u0435\u043d\u0438\u0435\u043c \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445, \u043d\u0435\u043b\u0438\u043d\u0435\u0439\u043d\u043e \u0437\u0430\u0432\u0438\u0441\u044f\u0449\u0438\u0445 \u043e\u0442 \u0438\u0441\u0445\u043e\u0434\u043d\u044b\u0445. \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043f\u0440\u0438\u043c\u0435\u0440:
\n\"Regresioni
\nBurimi: Wikipedia<\/a><\/noindex><\/i><\/p>\n

\u042d\u0442\u043e \u043f\u0440\u043e\u0441\u0442\u043e\u0439 \u043f\u0440\u0438\u043c\u0435\u0440 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u0443\u0435\u0442 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u044c \u043e\u0434\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 (\u043f\u043e \u043e\u0441\u0438 \"Regresioni) \u043e\u0442 \u0434\u0440\u0443\u0433\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 (\u043f\u043e \u043e\u0441\u0438 \"Regresioni). \u0427\u0442\u043e\u0431\u044b \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0430\u044f \u0434\u0430\u043d\u043d\u043e\u043c\u0443 \u043f\u0440\u0438\u043c\u0435\u0440\u0443 \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0438\u043c\u0435\u043b\u0430 \u0440\u0435\u0448\u0435\u043d\u0438\u0435, \u0432\u0441\u0435 \u0442\u043e\u0447\u043a\u0438 \u0434\u043e\u043b\u0436\u043d\u044b \u043b\u0435\u0436\u0430\u0442\u044c \u0442\u043e\u0447\u043d\u043e \u043d\u0430 \u043e\u0434\u043d\u043e\u0439 \u043f\u0440\u044f\u043c\u043e\u0439. \u041d\u043e \u044d\u0442\u043e \u043d\u0435 \u0442\u0430\u043a. \u0410 \u043d\u0435 \u043b\u0435\u0436\u0430\u0442 \u043e\u043d\u0438 \u043d\u0430 \u043e\u0434\u043d\u043e\u0439 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438\u043c\u0435\u043d\u043d\u043e \u0438\u0437-\u0437\u0430 \u0448\u0443\u043c\u0430 (\u0438\u043b\u0438 \u0438\u0437-\u0437\u0430 \u0442\u043e\u0433\u043e \u0447\u0442\u043e \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043e \u043d\u0430\u043b\u0438\u0447\u0438\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u0431\u044b\u043b\u043e \u043e\u0448\u0438\u0431\u043e\u0447\u043d\u044b\u043c). \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0447\u0442\u043e\u0431\u044b \u0432\u043e\u0441\u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u044c \u043b\u0438\u043d\u0435\u0439\u043d\u0443\u044e \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u044c \u043f\u043e \u0440\u0435\u0430\u043b\u044c\u043d\u044b\u043c \u0434\u0430\u043d\u043d\u044b\u043c \u043e\u0431\u044b\u0447\u043d\u043e \u0442\u0440\u0435\u0431\u0443\u0435\u0442\u0441\u044f \u0432\u0432\u0435\u0441\u0442\u0438 \u0435\u0449\u0435 \u043e\u0434\u043d\u043e \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435: \u0432\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435 \u0441\u043e\u0434\u0435\u0440\u0436\u0430\u0442 \u0448\u0443\u043c \u0438 \u044d\u0442\u043e\u0442 \u0448\u0443\u043c \u0438\u043c\u0435\u0435\u0442 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435<\/a><\/noindex>. \u041c\u043e\u0436\u043d\u043e \u0434\u0435\u043b\u0430\u0442\u044c \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0438 \u043e \u0434\u0440\u0443\u0433\u0438\u0445 \u0442\u0438\u043f\u0430\u0445 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0448\u0443\u043c\u0430, \u043d\u043e \u0432 \u043f\u043e\u0434\u0430\u0432\u043b\u044f\u044e\u0449\u0435\u043c \u0431\u043e\u043b\u044c\u0448\u0438\u043d\u0441\u0442\u0432\u0435 \u0441\u043b\u0443\u0447\u0430\u0435\u0432 \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u044e\u0442 \u0438\u043c\u0435\u043d\u043d\u043e \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435, \u043e \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u0434\u0430\u043b\u0435\u0435 \u0438 \u043f\u043e\u0439\u0434\u0435\u0442 \u0440\u0435\u0447\u044c.<\/p>\n

Metoda e maksimalit t\u00eb mund\u00ebsis\u00eb<\/h3>\n

\n\u0418\u0442\u0430\u043a, \u043c\u044b \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0438\u043b\u0438 \u043d\u0430\u043b\u0438\u0447\u0438\u0435 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0433\u043e \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0433\u043e \u0448\u0443\u043c\u0430. \u041a\u0430\u043a \u0436\u0435 \u0431\u044b\u0442\u044c \u0432 \u0442\u0430\u043a\u043e\u0439 \u0441\u0438\u0442\u0443\u0430\u0446\u0438\u0438? \u041d\u0430 \u044d\u0442\u043e\u0442 \u0441\u043b\u0443\u0447\u0430\u0439 \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0438 \u0448\u0438\u0440\u043e\u043a\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f metoda e maksimumit t\u00eb mund\u00ebsis\u00eb<\/a><\/noindex>. \u0415\u0441\u043b\u0438 \u043a\u0440\u0430\u0442\u043a\u043e, \u0435\u0433\u043e \u0441\u0443\u0442\u044c \u0437\u0430\u043a\u043b\u044e\u0447\u0430\u0435\u0442\u0441\u044f \u0432 \u0432\u044b\u0431\u043e\u0440\u0435 funksionin e mund\u00ebsis\u00eb<\/a><\/noindex> \u0438 \u043f\u043e\u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0435\u0451 \u043c\u0430\u043a\u0441\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438.<\/p>\n

\u0412\u043e\u0437\u0432\u0440\u0430\u0449\u0430\u0435\u043c\u0441\u044f \u043a \u0432\u043e\u0441\u0441\u0442\u0430\u043d\u043e\u0432\u043b\u0435\u043d\u0438\u044e \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u043f\u043e \u0434\u0430\u043d\u043d\u044b\u043c \u0441 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u044b\u043c \u0448\u0443\u043c\u043e\u043c. \u0417\u0430\u043c\u0435\u0442\u0438\u043c, \u0447\u0442\u043e \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u0430\u0433\u0430\u0435\u043c\u0430\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u044c \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u043e\u0436\u0438\u0434\u0430\u043d\u0438\u0435\u043c \"Regresioni \u0438\u043c\u0435\u044e\u0449\u0435\u0433\u043e\u0441\u044f \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f. \u0412 \u0442\u043e \u0436\u0435 \u0432\u0440\u0435\u043c\u044f, \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \"Regresioni \u043f\u0440\u0438\u043d\u0438\u043c\u0430\u0435\u0442 \u0442\u043e \u0438\u043b\u0438 \u0438\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435, \u043f\u0440\u0438 \u0443\u0441\u043b\u043e\u0432\u0438\u0438 \u043d\u0430\u043b\u0438\u0447\u0438\u044f \u043d\u0430\u0431\u043b\u044e\u0434\u0430\u0435\u043c\u044b\u0445 \"Regresioni, \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n

\"Regresioni<\/p>\n

\n\u041f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0442\u0435\u043f\u0435\u0440\u044c \u0432\u043c\u0435\u0441\u0442\u043e \"Regresioni dhe \"Regresioni \u043d\u0443\u0436\u043d\u044b\u0435 \u043d\u0430\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435:<\/p>\n

\"Regresioni<\/p>\n

\n\u041e\u0441\u0442\u0430\u043b\u043e\u0441\u044c \u0442\u043e\u043b\u044c\u043a\u043e \u043d\u0430\u0439\u0442\u0438 \u0432\u0435\u043a\u0442\u043e\u0440 \"Regresioni, \u043f\u0440\u0438 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u044d\u0442\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0430. \u0427\u0442\u043e\u0431\u044b \u043c\u0430\u043a\u0441\u0438\u043c\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0442\u0430\u043a\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0443\u0434\u043e\u0431\u043d\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0435\u0451 \u043f\u0440\u043e\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c\u0438\u0440\u043e\u0432\u0430\u0442\u044c (\u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0431\u0443\u0434\u0435\u0442 \u0434\u043e\u0441\u0442\u0438\u0433\u0430\u0442\u044c \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c\u0430 \u0432 \u0442\u043e\u0439 \u0436\u0435 \u0442\u043e\u0447\u043a\u0435, \u0447\u0442\u043e \u0438 \u0441\u0430\u043c\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u044f):<\/p>\n

\"Regresioni<\/p>\n

\n\u0427\u0442\u043e, \u0432 \u0441\u0432\u043e\u044e \u043e\u0447\u0435\u0440\u0435\u0434\u044c, \u0441\u0432\u043e\u0434\u0438\u0442\u0441\u044f \u043a \u043c\u0438\u043d\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/p>\n

\"Regresioni<\/p>\n

\n\u041a\u0441\u0442\u0430\u0442\u0438, \u044d\u0442\u043e \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043c\u0435\u0442\u043e\u0434\u043e\u043c \u043d\u0430\u0438\u043c\u0435\u043d\u044c\u0448\u0438\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432<\/a><\/noindex>. \u0417\u0430\u0447\u0430\u0441\u0442\u0443\u044e \u0432\u0441\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u044b\u0435 \u0432\u044b\u0448\u0435 \u0440\u0430\u0441\u0441\u0443\u0436\u0434\u0435\u043d\u0438\u044f \u043e\u043f\u0443\u0441\u043a\u0430\u044e\u0442\u0441\u044f \u0438 \u043f\u0440\u043e\u0441\u0442\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u044d\u0442\u043e\u0442 \u043c\u0435\u0442\u043e\u0434.<\/p>\n

QR \u0440\u0430\u0437\u043b\u043e\u0436\u0435\u043d\u0438\u0435<\/h3>\n

\n\u041c\u0438\u043d\u0438\u043c\u0443\u043c \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0439 \u0432\u044b\u0448\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043c\u043e\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438, \u0435\u0441\u043b\u0438 \u043d\u0430\u0439\u0442\u0438 \u0442\u043e\u0447\u043a\u0443 \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0433\u0440\u0430\u0434\u0438\u0435\u043d\u0442 \u044d\u0442\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e. \u0410 \u0433\u0440\u0430\u0434\u0438\u0435\u043d\u0442 \u0431\u0443\u0434\u0435\u0442 \u0437\u0430\u043f\u0438\u0441\u0430\u043d \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n

\"Regresioni<\/p>\n

\nQR \u0440\u0430\u0437\u043b\u043e\u0436\u0435\u043d\u0438\u0435<\/a><\/noindex> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043c\u0430\u0442\u0440\u0438\u0447\u043d\u044b\u043c \u043c\u0435\u0442\u043e\u0434\u043e\u043c \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0437\u0430\u0434\u0430\u0447\u0438 \u043c\u0438\u043d\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u043e\u043c \u0432 \u043c\u0435\u0442\u043e\u0434\u0435 \u043d\u0430\u0438\u043c\u0435\u043d\u044c\u0448\u0438\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432. \u0412 \u0441\u0432\u044f\u0437\u0438 \u0441 \u044d\u0442\u0438\u043c \u043f\u0435\u0440\u0435\u043f\u0438\u0448\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0432 \u043c\u0430\u0442\u0440\u0438\u0447\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0435:<\/p>\n

\"Regresioni<\/p>\n

\n\u0418\u0442\u0430\u043a, \u043c\u044b \u0440\u0430\u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0435\u043c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \"Regresioni \u043d\u0430 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \"Regresioni dhe \"Regresioni \u0438 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u043c \u0440\u044f\u0434 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0439 (\u0441\u0430\u043c \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c QR \u0440\u0430\u0437\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0437\u0434\u0435\u0441\u044c \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0435 \u0431\u0443\u0434\u0435\u0442, \u0442\u043e\u043b\u044c\u043a\u043e \u0435\u0433\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043a \u043f\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0435):<\/p>\n

\"Regresioni<\/p>\n

\n\u041c\u0430\u0442\u0440\u0438\u0446\u0430 \"Regresioni \u00ebsht\u00eb ortogonale. Kjo na lejon t\u00eb heqim dor\u00eb nga produkti \"Regresioni:<\/p>\n

\"Regresioni<\/p>\n

\nDhe n\u00ebse z\u00ebvend\u00ebsojm\u00eb \"Regresioni n\u00eb \"Regresioni, at\u00ebher\u00eb do t\u00eb dal\u00eb \"Regresioni. Duke marr\u00eb parasysh se \"Regresioni \u00ebsht\u00eb nj\u00eb matric\u00eb e sip\u00ebrme trek\u00ebndore, duket k\u00ebshtu:<\/p>\n

\"Regresioni<\/p>\n

\nKjo mund t\u00eb zgjidhet me metod\u00ebn e z\u00ebvend\u00ebsimit. Elementi \"Regresioni gjehet si \"Regresioni, elementi paraprak \"Regresioni gjehet si \"Regresioni etj.<\/p>\n

K\u00ebtu duhet t\u00eb theksohet se kompleksiteti i algoritmit t\u00eb rezultuar p\u00ebr shkak t\u00eb p\u00ebrdorimit t\u00eb ndarjes QR \u00ebsht\u00eb i barabart\u00eb me \"Regresioni. Megjithat\u00eb, pavar\u00ebsisht se operacioni i shumzimit t\u00eb matricave \u00ebsht\u00eb mir\u00eb i ndar\u00eb n\u00eb m\u00ebnyr\u00eb paralele, t\u00eb shkruash nj\u00eb version efektiv t\u00eb shp\u00ebrndar\u00eb t\u00eb k\u00ebtij algoritmi nuk duket se \u00ebsht\u00eb e mundur.<\/p>\n

R\u00ebnia gradiente<\/h3>\n

\nDuke folur p\u00ebr minimizimin e nj\u00eb funksioni t\u00eb caktuar, gjithmon\u00eb duhet t\u00eb kujtojm\u00eb metod\u00ebn e (stohastik) shpimit t\u00eb gradienteve. Kjo \u00ebsht\u00eb nj\u00eb metod\u00eb e thjesht\u00eb dhe efektive p\u00ebr minimizimin, e cila bazohet n\u00eb llogaritjen iteruese t\u00eb gradienteve t\u00eb funksionit n\u00eb nj\u00eb pik\u00eb dhe m\u00eb pas zhvendosjen e saj n\u00eb drejtim t\u00eb kund\u00ebrt me gradientin. \u00c7do hap i till\u00eb afron zgjidhjen me minimumin. Gradienti k\u00ebtu duket gjithashtu k\u00ebshtu:<\/p>\n

\"Regresioni<\/p>\n

Gjithashtu, kjo metod\u00eb \u00ebsht\u00eb mir\u00eb e ndar\u00eb dhe shp\u00ebrndar\u00eb p\u00ebr shkak t\u00eb pronarive lineare t\u00eb operatorit t\u00eb gradienteve. V\u00ebrejm\u00eb se n\u00eb formul\u00ebn e m\u00ebsip\u00ebrme n\u00ebn shenj\u00ebn e shum\u00ebs jan\u00eb terma t\u00eb pavarur. N\u00eb fjal\u00eb t\u00eb tjera, ne mund t\u00eb llogaritim gradientin pavar\u00ebsisht p\u00ebr t\u00eb gjitha indekset \"Regresioni nga i pari deri n\u00eb \"Regresioni, paralelisht me k\u00ebt\u00eb llogaritim gradientin p\u00ebr indekset nga \"Regresioni deri te \"Regresioni. Pastaj do t\u00eb mbledhim gradientet e marra. Rezultati i mbledhjes do t\u00eb jet\u00eb i nj\u00ebjt\u00eb si n\u00ebse do t\u00eb llogaritnim menj\u00ebher\u00eb gradientin p\u00ebr indekset nga i pari deri n\u00eb \"Regresioni. Pra, n\u00ebse t\u00eb dh\u00ebnat jan\u00eb t\u00eb shp\u00ebrndara midis disa pjes\u00ebve t\u00eb t\u00eb dh\u00ebnave, gradienti mund t\u00eb llogaritet pavar\u00ebsisht n\u00eb secil\u00ebn pjes\u00eb, dhe m\u00eb pas rezultatet e k\u00ebtyre llogaritjeve mund t\u00eb mblidhen p\u00ebr t\u00eb marr\u00eb rezultatin p\u00ebrfundimtar:<\/p>\n

\"Regresioni<\/p>\n

Nga pik\u00ebpamja e realizimit, kjo p\u00ebrputhet me paradigmat MapReduce<\/a><\/noindex>. N\u00eb \u00e7do hap t\u00eb shpimit t\u00eb gradienteve, n\u00eb \u00e7do nyje t\u00eb dh\u00ebnave d\u00ebrgohet nj\u00eb detyr\u00eb p\u00ebr llogaritjen e gradienteve, pastaj gradientet e llogaritura mblidhen bashk\u00eb dhe rezultati i shumimit t\u00eb tyre p\u00ebrdoret p\u00ebr t\u00eb p\u00ebrmir\u00ebsuar rezultatin.<\/p>\n

Megjith\u00ebse \u00ebsht\u00eb e thjesht\u00eb p\u00ebr t'u realizuar dhe mund t\u00eb ekzekutohet n\u00eb paradigm\u00ebn MapReduce, shpimi i gradienteve ka gjithashtu disavantazhet e tij. N\u00eb ve\u00e7anti, numri i hapave t\u00eb nevojsh\u00ebm p\u00ebr t\u00eb arritur konvergjenc\u00ebn \u00ebsht\u00eb duksh\u00ebm m\u00eb i lart\u00eb n\u00eb krahasim me metoda t\u00eb tjera m\u00eb t\u00eb specializuara.<\/p>\n

LSQR<\/h3>\n

\nLSQR<\/a><\/noindex> \u2014 \u00ebsht\u00eb nj\u00eb metod\u00eb tjet\u00ebr p\u00ebr zgjidhjen e problemit t\u00eb caktuar, e cila \u00ebsht\u00eb e p\u00ebrshtatshme si p\u00ebr rikthimin e regresionit linear, ashtu edhe p\u00ebr zgjidhjen e sistemeve t\u00eb ekuacioneve lineare. Karakteristika e saj kryesore \u00ebsht\u00eb se ajo kombinon avantazhet e metodave matriciale dhe qasjes iteruese. Realizimet e k\u00ebsaj metode mund t\u00eb gjenden si n\u00eb bibliotekat SciPy<\/a><\/noindex>, si dhe n\u00eb MATLAB<\/a><\/noindex>. P\u00ebrshkrimi i k\u00ebsaj metode nuk do t\u00eb paraqitet k\u00ebtu (mund t\u00eb gjendet n\u00eb artikullin LSQR: An algorithm for sparse linear equations and sparse least squares<\/a><\/noindex>). N\u00eb vend t\u00eb k\u00ebsaj, do t\u00eb demonstrohet nj\u00eb qasje q\u00eb lejon adaptimin e LSQR p\u00ebr ekzekutim n\u00eb nj\u00eb mjedis t\u00eb shp\u00ebrndar\u00eb.<\/p>\n

N\u00eb thelb t\u00eb metod\u00ebs LSQR q\u00ebndron procedura e bidiagonalizimit<\/a><\/noindex>. Kjo \u00ebsht\u00eb nj\u00eb procedur\u00eb iteruese, e cila p\u00ebrb\u00ebhet nga hapat e m\u00ebposht\u00ebm:
\n\"Regresioni
\n
\nPor n\u00ebse e marrim parasysh se matrica \"Regresioni \u00ebsht\u00eb e ndar\u00eb horizontalisht, at\u00ebher\u00eb \u00e7do iteracion mund t\u00eb paraqitet n\u00eb form\u00ebn e dy hapave MapReduce. K\u00ebshtu arrijm\u00eb t\u00eb minimizojm\u00eb d\u00ebrgimin e t\u00eb dh\u00ebnave gjat\u00eb \u00e7do iteracioni (vet\u00ebm vektor\u00eb me nj\u00eb gjat\u00ebsi t\u00eb barabart\u00eb me numrin e t\u00eb panjohurave):<\/p>\n

\"Regresioni
\n
\nKy \u00ebsht\u00eb pik\u00ebrisht qasja q\u00eb p\u00ebrdoret n\u00eb realizimin e regresionit linear n\u00eb Apache Ignite ML<\/a><\/noindex>.<\/p>\n

P\u00ebrfundimi<\/h3>\n

\nEkzistojn\u00eb shum\u00eb algoritmo p\u00ebr rikthimin e regresionit linear, por jo t\u00eb gjitha prej tyre mund t\u00eb aplikohen n\u00eb \u00e7do kushte. K\u00ebshtu, ndarja QR \u00ebsht\u00eb e p\u00ebrshtatshme p\u00ebr zgjidhje t\u00eb sakt\u00eb n\u00eb grupe t\u00eb vogla t\u00eb t\u00eb dh\u00ebnave. Spimi i gradienteve \u00ebsht\u00eb leht\u00ebsisht i realizuesh\u00ebm dhe lejon gjetjen e nj\u00eb zgjidhjeje t\u00eb p\u00ebraf\u00ebrt me shpejt\u00ebsi. Nd\u00ebrsa LSQR kombinon karakteristikat m\u00eb t\u00eb mira t\u00eb dy algoritmave t\u00eb m\u00ebparsh\u00ebm, pasi ai mund t\u00eb shp\u00ebrndahet, konvergon m\u00eb shpejt krahasuar me shpimin e gradienteve dhe gjithashtu lejon ndaljen e hershme t\u00eb algoritmit n\u00eb kund\u00ebrshtim me ndarjen QR p\u00ebr gjetjen e nj\u00eb zgjidhjeje t\u00eb p\u00ebraf\u00ebrt.
\n
Burimi: habr.com<\/a><\/p>","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"

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Arsyeja p\u00ebr k\u00ebt\u00eb \u00ebsht\u00eb e qart\u00eb. Ky \u00ebsht\u00eb nj\u00eb algorit\u00ebm shum\u00eb i thjesht\u00eb dhe i kuptuesh\u00ebm, q\u00eb kontribuon n\u00eb p\u00ebrdorimin e tij t\u00eb gjer\u00eb p\u00ebr shum\u00eb dekada, n\u00ebse jo qindra, vite. Ideja \u00ebsht\u00eb se ne supozojm\u00eb nj\u00eb var\u00ebsi lineare t\u00eb nj\u00eb variabli nga nj\u00eb grup variablash t\u00eb tjer\u00eb, dhe m\u00eb pas p\u00ebrpiqemi","canonical_url":"https:\/\/prohoster.info\/sq\/blog\/administrirovanie\/linejnaya-regressiya-i-metody-eyo-vosstanovleniya","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":null,"og:locale":"sq_AL","og:site_name":"ProHoster | \u041a\u0443\u043f\u0438\u0442\u044c \u043d\u0430\u0434\u0435\u0436\u043d\u044b\u0439 \u0445\u043e\u0441\u0442\u0438\u043d\u0433 \u0434\u043b\u044f \u0441\u0430\u0439\u0442\u043e\u0432 \u0441 \u0437\u0430\u0449\u0438\u0442\u043e\u0439 \u043e\u0442 DDoS, VPS VDS \u0441\u0435\u0440\u0432\u0435\u0440\u044b","og:type":"article","og:title":"\ud83e\udd47\u041b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u0438 \u043c\u0435\u0442\u043e\u0434\u044b \u0435\u0451 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