{"id":76,"date":"2021-12-13T10:02:07","date_gmt":"2021-12-13T10:02:07","guid":{"rendered":"https:\/\/stage.embibe.com\/in-hi\/?post_type=ai&p=76"},"modified":"2022-06-06T13:21:56","modified_gmt":"2022-06-06T13:21:56","slug":"1pl-%e0%a4%86%e0%a4%87%e0%a4%9f%e0%a4%ae-%e0%a4%b0%e0%a4%bf%e0%a4%b8%e0%a5%8d%e0%a4%aa%e0%a5%89%e0%a4%a8%e0%a5%8d%e0%a4%b8-%e0%a4%a5%e0%a5%8d%e0%a4%af%e0%a5%8b%e0%a4%b0%e0%a5%80-%e0%a4%95%e0%a5%87","status":"publish","type":"ai","link":"https:\/\/www.embibe.com\/in-hi\/artificial-intelligence-ai-in-education\/1pl-%e0%a4%86%e0%a4%87%e0%a4%9f%e0%a4%ae-%e0%a4%b0%e0%a4%bf%e0%a4%b8%e0%a5%8d%e0%a4%aa%e0%a5%89%e0%a4%a8%e0%a5%8d%e0%a4%b8-%e0%a4%a5%e0%a5%8d%e0%a4%af%e0%a5%8b%e0%a4%b0%e0%a5%80-%e0%a4%95%e0%a5%87\/","title":{"rendered":"1PL \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u092e\u093e\u0928\u0915\u0940\u0915\u0943\u0924 \u091f\u0947\u0938\u094d\u091f \u092e\u0947\u0902 \u091b\u093e\u0924\u094d\u0930 \u0915\u0947 \u0938\u094d\u0915\u094b\u0930 \u0915\u093e \u092a\u0942\u0930\u094d\u0935\u093e\u0928\u0941\u092e\u093e\u0928"},"content":{"rendered":"\n

1PL \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u092e\u093e\u0928\u0915\u0940\u0915\u0943\u0924 \u091f\u0947\u0938\u094d\u091f \u092e\u0947\u0902 \u091b\u093e\u0924\u094d\u0930 \u0915\u0947 \u0938\u094d\u0915\u094b\u0930 \u0915\u093e \u092a\u0942\u0930\u094d\u0935\u093e\u0928\u0941\u092e\u093e\u0928<\/h2>\n\n\n\n

Embibe \u092e\u0947\u0902, \u0939\u092e \u0932\u0930\u094d\u0928\u093f\u0902\u0917 \u0925\u094d\u092f\u094b\u0930\u0940 \u0914\u0930 \u090f\u091c\u0941\u0915\u0947\u0936\u0928 \u0930\u093f\u0938\u0930\u094d\u091a \u0915\u0940 \u0938\u0939\u093e\u092f\u0924\u093e \u0938\u0947 \u0907\u0928\u0938\u093e\u0907\u091f \u0914\u0930 \u092e\u0949\u0921\u0932 \u0915\u094b \u0936\u093e\u092e\u093f\u0932 \u0915\u0930\u0915\u0947, \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u0915\u094b \u092e\u093e\u0928\u0915\u0940\u0915\u0943\u0924 \u091f\u0947\u0938\u094d\u091f \u092e\u0947\u0902 \u0909\u0928\u0915\u0947 \u0938\u094d\u0915\u094b\u0930 \u0915\u094b \u092c\u0947\u0939\u0924\u0930 \u092c\u0928\u093e\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n\n\n\n

\u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940[1, 2]<\/sup> \u0928\u093e\u092e\u0915 \u090f\u0915 \u0910\u0938\u093e \u0935\u094d\u092f\u093e\u092a\u0915 \u0930\u0942\u092a \u0938\u0947 \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u093e \u092e\u0949\u0921\u0932, \u091b\u093e\u0924\u094d\u0930 \u0915\u0947 \u0915\u094c\u0936\u0932 \u092f\u093e \u0915\u094d\u0937\u092e\u0924\u093e \u0938\u094d\u0924\u0930 \u0915\u0947 \u0938\u093e\u0925-\u0938\u093e\u0925 \u092a\u094d\u0930\u092f\u093e\u0938 \u0915\u093f\u090f \u091c\u093e \u0930\u0939\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u0947 \u0915\u0920\u093f\u0928\u093e\u0908 \u0938\u094d\u0924\u0930 \u0915\u093e \u0905\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e\u0915\u0930 \u0915\u093f\u0938\u0940 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0938\u0939\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u093e \u092a\u0942\u0930\u094d\u0935\u093e\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0947 \u092a\u0939\u0932\u0940 \u092c\u093e\u0930 1960 \u0915\u0947 \u0926\u0936\u0915 \u092e\u0947\u0902 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0925\u093e \u0914\u0930 \u0907\u0938\u0915\u0947 \u0915\u0908 \u0930\u0942\u092a \u0906\u091c \u092d\u0940 \u0909\u092a\u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902, \u091c\u0948\u0938\u0947 \u0915\u093f 1PL \u092e\u0949\u0921\u0932[2, 3]<\/sup> \u0914\u0930 2PL \u092e\u0949\u0921\u0932[2]<\/sup>\u0964<\/p>\n\n\n\n

\u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u0915\u093e 1PL \u092e\u0949\u0921\u0932<\/strong><\/h3>\n\n\n\n

1PL \u092f\u093e 1 \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u0930 \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u092e\u0949\u0921\u0932, \u091c\u093f\u0938\u0947 \u0930\u0948\u0936 \u092e\u0949\u0921\u0932[ 3]<\/sup> \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092d\u0940 \u091c\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0915\u094b \u0928\u093f\u092e\u094d\u0928\u093e\u0928\u0941\u0938\u093e\u0930 \u0935\u0930\u094d\u0923\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948 –<\/p>\n\n\n\n

\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f i \u090f\u0915 \u0932\u0930\u094d\u0928\u0930 \u092f\u093e \u091b\u093e\u0924\u094d\u0930 \u0939\u0948 \u0914\u0930 j \u090f\u0915 \u092a\u094d\u0930\u0936\u094d\u0928 \u0939\u0948, \u03b8i \u0932\u0930\u094d\u0928\u0930 \u0915\u0940 \u0915\u094d\u0937\u092e\u0924\u093e \u0939\u0948 \u0914\u0930 \u03b2j \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0915\u0920\u093f\u0928\u093e\u0908 \u0938\u094d\u0924\u0930 \u0939\u0948\u0964 \u0924\u092c, 1PL \u092e\u0949\u0921\u0932 \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930, i \u0932\u0930\u094d\u0928\u0930 \u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e j \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0938\u0939\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094b logit(Pij) = i – j \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u0939\u093e\u0901 logit \u092b\u0902\u0915\u094d\u0936\u0928 logit(x) =(1+(-x))-1 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n\n\n\n

1PL \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u092e\u0949\u0921\u0932 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947, \u0939\u092e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u092f\u093e\u0938 \u0915\u093f\u090f \u0917\u090f \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u0947 \u0932\u093f\u090f \u0932\u0930\u094d\u0928\u0930 \u0915\u0947 \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0921\u093e\u091f\u093e \u0915\u094b \u0926\u0947\u0916\u0924\u0947 \u0939\u0941\u090f, \u0909\u0938\u0915\u0947 \u0915\u094d\u0937\u092e\u0924\u093e \u0938\u094d\u0924\u0930 \u03b8i \u0915\u093e \u0905\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n\n\n\n

1PL \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0921\u0940\u092a \u0932\u0930\u094d\u0928\u093f\u0902\u0917 \u0906\u0930\u094d\u0915\u093f\u091f\u0947\u0915\u094d\u091a\u0930<\/strong><\/h3>\n\n\n\n

\u0939\u092e \u0926\u0947\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f 1PL \u092e\u0949\u0921\u0932 \u0935\u093e\u0938\u094d\u0924\u0935 \u092e\u0947\u0902 \u090f\u0915 \u0921\u094b\u092e\u0947\u0928-\u0935\u093f\u0936\u093f\u0937\u094d\u091f \u092e\u093e\u0928\u0915\u0940\u0915\u0930\u0923 \u0915\u0947 \u0938\u093e\u0925 \u0932\u0949\u091c\u093f\u0938\u094d\u091f\u093f\u0915 \u0930\u093f\u0917\u094d\u0930\u0947\u0936\u0928 \u0939\u0948\u0964 \u092b\u0932\u0938\u094d\u0935\u0930\u0942\u092a, \u0939\u092e \u0915\u093f\u0938\u0940 \u092d\u0940 \u0921\u0940\u092a \u0932\u0930\u094d\u0928\u093f\u0902\u0917 \u0906\u0930\u094d\u0915\u093f\u091f\u0947\u0915\u094d\u091a\u0930 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0910\u0938\u0947 \u092e\u0949\u0921\u0932 \u0915\u094b \u0938\u092e\u091d \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 1PL \u092e\u0949\u0921\u0932 \u0915\u0947 \u0932\u093f\u090f \u0921\u0940\u092a \u0932\u0930\u094d\u0928\u093f\u0902\u0917 \u0906\u0930\u094d\u0915\u093f\u091f\u0947\u0915\u094d\u091a\u0930 \u0915\u094b \u091a\u093f\u0924\u094d\u0930 – 1 \u092e\u0947\u0902 \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964<\/p>\n\n\n\n

\"\"\/
\u091a\u093f\u0924\u094d\u0930 – 1 : 1PL IRT \u092e\u0949\u0921\u0932 \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u0930 \u0915\u0947 \u0906\u0915\u0932\u0928 \u0915\u0947 \u0932\u093f\u090f \u0928\u094d\u092f\u0942\u0930\u0932 \u0928\u0947\u091f\u0935\u0930\u094d\u0915 \u0906\u0930\u094d\u0915\u093f\u091f\u0947\u0915\u094d\u091a\u0930<\/strong><\/figcaption><\/figure>\n\n\n\n

\u0939\u092e\u093e\u0930\u093e \u092e\u0949\u0921\u0932 \u0915\u0947\u0930\u0938[4]<\/sup> \u092e\u0947\u0902 \u090f\u0915 \u0921\u0940\u092a \u0928\u094d\u092f\u0942\u0930\u0932 \u0928\u0947\u091f\u0935\u0930\u094d\u0915 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0932\u093e\u0917\u0942 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u094b \u090f\u0915 \u0928\u094d\u092f\u0942\u0930\u0932 \u0928\u0947\u091f\u0935\u0930\u094d\u0915 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092e\u0949\u0921\u0932\u093f\u0902\u0917 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093e\u092d \u0939\u0948\u0902 :<\/p>\n\n\n\n

  • \u0907\u0928\u092a\u0941\u091f \u092e\u0947\u0902 \u0905\u0928\u0941\u092a\u0938\u094d\u0925\u093f\u0924 \u092e\u093e\u0928\u094b\u0902 \u0915\u094b \u0939\u0948\u0902\u0921\u0932 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0915\u094d\u0937\u092e\u0924\u093e — \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092f\u0942\u091c\u0930 \u0915\u094b \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u094b \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u0940 \u0939\u0948<\/li>
  • \u092c\u0921\u093c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092e\u0947\u0902 \u092f\u0942\u091c\u0930 \u0914\u0930 \u0906\u0907\u091f\u092e \u0915\u094b \u0938\u094d\u0915\u0947\u0932 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0915\u094d\u0937\u092e\u0924\u093e <\/li>
  • \u0905\u0927\u093f\u0915 \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u0930 \u0915\u0947 \u0938\u093e\u0925 2PL, 3PL \u0914\u0930 \u0905\u0928\u094d\u092f \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u092e\u0949\u0921\u0932 \u0915\u0947 \u0932\u093f\u090f \u092b\u094d\u0930\u0947\u092e\u0935\u0930\u094d\u0915 \u0915\u093e \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0915\u094d\u0937\u092e\u0924\u093e<\/li><\/ul>\n\n\n\n

    \u0939\u092e \u0907\u0938 \u092e\u0949\u0921\u0932 \u0915\u094b 1PL \u0921\u0940\u092a \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u092e\u0949\u0921\u0932 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0938\u0902\u0926\u0930\u094d\u092d\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n\n\n\n

    \u0935\u0948\u0932\u093f\u0921\u0947\u0936\u0928<\/strong><\/h3>\n\n\n\n

    \u092e\u0949\u0921\u0932\u093f\u0902\u0917 \u0930\u0923\u0928\u0940\u0924\u093f \u0915\u094b \u092c\u0947\u0902\u091a\u092e\u093e\u0930\u094d\u0915 \u0914\u0930 \u0935\u0948\u0932\u093f\u0921\u0947\u091f \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0939\u092e \u0928\u093f\u092e\u094d\u0928\u093e\u0928\u0941\u0938\u093e\u0930 \u0938\u093f\u092e\u094d\u092f\u0941\u0932\u0947\u091f\u0947\u0921 \u0921\u093e\u091f\u093e \u0924\u0948\u092f\u093e\u0930 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902:<\/p>\n\n\n\n

    • i N(0,1) : \u092e\u093e\u0927\u094d\u092f 0 \u0914\u0930 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 1 \u0915\u0947 \u0938\u093e\u0925 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0935\u093f\u0924\u0930\u0923 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0932\u0930\u094d\u0928\u093f\u0902\u0917 \u0915\u094d\u0937\u092e\u0924\u093e \u091c\u0928\u0930\u0947\u091f \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948<\/li>
    • j U(-1,1) : \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u0920\u093f\u0928\u093e\u0908 \u092e\u093e\u0928 -1 \u0914\u0930 1 \u0915\u0947 \u092c\u0940\u091a \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947  \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948<\/li>
    • Pij= i – j : \u092f\u0942\u091c\u0930 \u0915\u0940 \u0915\u094d\u0937\u092e\u0924\u093e \u0914\u0930 \u0906\u0907\u091f\u092e \u0915\u0920\u093f\u0928\u093e\u0908 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0938\u0939\u0940 \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0940 \u0917\u0923\u0928\u093e (1PL \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947) \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948<\/li>
    • yijk Bern(Pij) : \u0938\u0915\u094d\u0938\u0947\u0938 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0947 \u0938\u093e\u0925 \u092c\u0930\u094d\u0928\u094c\u0932\u0940 \u0935\u093f\u0924\u0930\u0923 \u0938\u0947 \u092c\u093e\u0907\u0928\u0930\u0940 \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 (\u0938\u0939\u0940, \u0917\u0932\u0924) \u0915\u093e \u0938\u0948\u0902\u092a\u0932 \u0932\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948<\/li>
    • \u0938\u0915\u094d\u0938\u0947\u0938 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0947 \u0938\u093e\u0925 \u092c\u0930\u094d\u0928\u094c\u0932\u0940 \u0935\u093f\u0924\u0930\u0923 \u0938\u0947 \u092c\u093e\u0907\u0928\u0930\u0940 \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 (\u0938\u0939\u0940, \u0917\u0932\u0924) \u0932\u093f\u090f \u091c\u093e\u0924\u0947 \u0939\u0948\u0902, \u091c\u0939\u093e\u0902 \u092a\u094d\u0930\u0924\u093f \u0932\u0930\u094d\u0928\u0930 \u092a\u094d\u0930\u0924\u093f \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0949\u0928\u094d\u092b\u093c\u093f\u0917\u0930\u0947\u092c\u094d\u0932 \u0939\u0948\u0964<\/li><\/ul>\n\n\n\n

      \u0939\u092e\u0928\u0947 100 \u092a\u094d\u0930\u0936\u094d\u0928, 100 \u0932\u0930\u094d\u0928\u0930 \u0914\u0930 \u092a\u094d\u0930\u0924\u093f \u0932\u0930\u094d\u0928\u0930 \u092a\u094d\u0930\u0924\u093f \u092a\u094d\u0930\u0936\u094d\u0928 \u090f\u0915 \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0938\u093f\u092e\u094d\u092f\u0941\u0932\u0947\u091f \u0915\u093f\u092f\u093e \u0939\u0948\u0964<\/p>\n\n\n\n

      \u0939\u092e \u0938\u093f\u092e\u094d\u092f\u0941\u0932\u0947\u091f\u0947\u0921 \u0921\u093e\u091f\u093e\u0938\u0947\u091f \u0915\u0947 \u0932\u093f\u090f 1PL \u0921\u0940\u092a \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u092e\u0949\u0921\u0932 \u092b\u093f\u091f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0928\u094d\u092f\u0942\u0930\u0932 \u0928\u0947\u091f\u0935\u0930\u094d\u0915 \u0915\u0947 \u0907\u0928\u092a\u0941\u091f \u092f\u0942\u091c\u0930 \u0935\u0947\u0915\u094d\u091f\u0930 (\u090f\u0915-\u0939\u0949\u091f \u090f\u0928\u094d\u0915\u094b\u0921\u0947\u0921) \u0914\u0930 \u092a\u094d\u0930\u0936\u094d\u0928 \u0935\u0947\u0915\u094d\u091f\u0930 (\u090f\u0915-\u0939\u0949\u091f \u090f\u0928\u094d\u0915\u094b\u0921\u0947\u0921) \u0939\u0948\u0902 \u0914\u0930 \u0906\u0909\u091f\u092a\u0941\u091f \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u092e\u0949\u0921\u0932 \u0915\u0947 \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u0930 \u0939\u0948\u0902, \u091c\u093f\u0938\u092e\u0947\u0902 \u0906\u0907\u091f\u092e \u0915\u0920\u093f\u0928\u093e\u0908, \u0932\u0930\u094d\u0928\u0930 \u0915\u094d\u0937\u092e\u0924\u093e \u0914\u0930 \u092a\u0942\u0930\u094d\u0935\u093e\u0928\u0941\u092e\u093e\u0928 \u0936\u093e\u092e\u093f\u0932 \u0939\u0948 \u0915\u093f \u0915\u094d\u092f\u093e \u0932\u0930\u094d\u0928\u0930 \u0938\u0939\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0917\u093e \u092f\u093e \u0928\u0939\u0940\u0902\u0964 \u0928\u094d\u092f\u0942\u0930\u0932 \u0928\u0947\u091f\u0935\u0930\u094d\u0915 \u092a\u0942\u0930\u0940 \u0924\u0930\u0939 \u0938\u0947 \u091c\u0941\u0921\u093c\u093e \u0939\u0941\u0906 \u0939\u0948\u0964 \u0907\u0938\u092e\u0947\u0902 \u0926\u094b \u0907\u0928\u092a\u0941\u091f \u0932\u0947\u092f\u0930 \u0939\u0948\u0902, \u0915\u0920\u093f\u0928\u093e\u0908 \u0914\u0930 \u0915\u094d\u0937\u092e\u0924\u093e \u0915\u0947 \u0932\u093f\u090f \u0907\u0902\u091f\u0930\u092e\u0940\u0921\u093f\u090f\u091f \u0932\u0947\u092f\u0930 \u0914\u0930 \u092a\u0942\u0930\u094d\u0935\u093e\u0928\u0941\u092e\u093e\u0928 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0906\u0909\u091f\u092a\u0941\u091f \u0932\u0947\u092f\u0930\u0964<\/p>\n\n\n\n

      \u0939\u092e \u0928\u094d\u092f\u0942\u0930\u0932 \u0928\u0947\u091f\u0935\u0930\u094d\u0915 \u0938\u0947 1PL \u0921\u0940\u092a \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u0906\u0909\u091f\u092a\u0941\u091f \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u0938\u093f\u092e\u094d\u092f\u0941\u0932\u0947\u091f\u0947\u0921 \u0921\u093e\u091f\u093e \u0938\u0947 \u0938\u0939\u0940 \u0906\u0909\u091f\u092a\u0941\u091f \u0915\u0947 \u0938\u093e\u0925 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n\n\n\n

      \u0907\u092e\u094d\u092a\u094d\u0932\u0940\u092e\u0947\u0902\u091f\u0947\u0936\u0928<\/strong><\/h3>\n\n\n\n

      \u092e\u0949\u0921\u0932<\/strong>: 1PL \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u0915\u0947 \u0906\u0930\u094d\u0915\u093f\u091f\u0947\u0915\u094d\u091f\u0930 \u0915\u094b \u0915\u0947\u0930\u0938 \u092b\u0902\u0915\u094d\u0936\u0928\u0932 API \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f NN \u0915\u0940 \u0938\u0902\u0930\u091a\u0928\u093e \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0938\u092e\u0917\u094d\u0930 \u092e\u0949\u0921\u0932 \u0938\u0918\u0928 \u0932\u0947\u092f\u0930 \u0915\u094b \u0938\u094d\u091f\u0948\u0915 \u0915\u0930\u0915\u0947 \u0938\u0902\u0930\u091a\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948 – \u092f\u0939\u093e\u0902, 1PL \u092e\u0949\u0921\u0932 \u0915\u0947 \u0932\u093f\u090f 2 \u0938\u0918\u0928 \u0932\u0947\u092f\u0930 \u0939\u0948\u0902, \u091c\u093f\u0938\u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u093f\u0938\u0940 \u092f\u0942\u091c\u0930 \u092f\u093e \u0906\u0907\u091f\u092e \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u0930 \u0915\u093e \u0930\u093f\u092a\u094d\u0930\u0947\u091c\u0947\u0928\u094d\u091f\u0947\u091f\u093f\u0935 \u0939\u0948, \u091c\u094b \u0915\u093f\u0938\u0940 \u0906\u0907\u091f\u092e (j) \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0926\u0947\u0928\u0947 \u0935\u093e\u0932\u0947 \u092f\u0942\u091c\u0930 (i) \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e (Pij) \u0915\u094b \u0921\u094d\u0930\u093e\u0907\u0935 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n\n\n\n

      \u0939\u093e\u0907\u092a\u0930 \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u0930: <\/strong> \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0918\u0928 \u0932\u0947\u092f\u0930 \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0921\u093f\u092b\u093c\u0949\u0932\u094d\u091f \u0938\u0947\u091f\u093f\u0902\u0917\u094d\u0938 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948-<\/p>\n\n\n\n

      • \u0915\u0930\u094d\u0928\u0947\u0932 \u0914\u0930 \u092c\u093e\u092f\u0938 \u0907\u0928\u0940\u0936\u093f\u090f\u0932\u093e\u0907\u091c\u0930 : \u0928\u0949\u0930\u094d\u092e\u0932 (0,1)<\/li>
      • l1\/l2 \u0930\u0947\u0917\u094d\u092f\u0941\u0932\u0930\u093e\u0907\u091c\u0947\u0936\u0928 : l_1=0, l_2=0<\/li>
      • \u090f\u0915\u094d\u091f\u093f\u0935\u093f\u091f\u0940 \u0930\u0947\u0917\u094d\u092f\u0941\u0932\u0930\u093e\u0907\u091c\u093c\u0930 : l_1=0, l_2=0<\/li><\/ul>\n\n\n\n

        \u0909\u092a\u0930\u094b\u0915\u094d\u0924 \u0938\u0947\u091f\u093f\u0902\u0917\u094d\u0938 \u0915\u094b \u090f\u0915 \u0921\u0947\u0935\u0932\u092a\u0930 \u0926\u094d\u0935\u093e\u0930\u093e \u0913\u0935\u0930\u0930\u093e\u0907\u0921 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u092f\u093e \u0915\u0949\u0928\u094d\u092b\u093c\u093f\u0917\u0930\u0947\u0936\u0928 \u0915\u0947 \u0938\u094d\u0925\u093e\u0928 \u092a\u0930 \u0938\u0930\u094d\u091a \u0915\u0930\u0915\u0947 \u0938\u0930\u094d\u0935\u094b\u0924\u094d\u0924\u092e \u0915\u0949\u0928\u094d\u092b\u093c\u093f\u0917\u0930\u0947\u0936\u0928 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u0924\u0930\u0939 \u0915\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0906\u0917\u093e\u092e\u0940 \u092c\u094d\u0932\u0949\u0917 \u092e\u0947\u0902 \u091c\u093e\u090f\u0917\u0940\u0964 \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u092e\u0949\u0921\u0932 \u0926\u094b \u092f\u093e \u0924\u0940\u0928 \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u0930 \u0915\u0947 \u0932\u093f\u090f \u0907\u0938\u0915\u0947 \u0909\u092a\u092f\u094b\u0917 \u0915\u093e \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0930\u0942\u092a \u0938\u0947 \u092b\u094d\u0932\u0947\u0915\u094d\u0938\u093f\u092c\u0932 \u0939\u0948, \u0905\u0930\u094d\u0925\u093e\u0924 \u0921\u093f\u0915\u094d\u0930\u093f\u092e\u093f\u0928\u0947\u0936\u0928 \u0914\u0930 \u0917\u0947\u0938\u0947\u092c\u093f\u0932\u093f\u091f\u0940, \u0914\u0930 \u0907\u0938\u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u0938\u094d\u0935\u0930\u0942\u092a, \u0930\u0947\u091f\u094d\u0930\u094b\u0938\u094d\u092a\u0947\u0915\u094d\u091f \u092e\u0947\u0902, \u0928\u094d\u092f\u0942\u0930\u0932 \u0906\u0930\u094d\u0915\u093f\u091f\u0947\u0915\u094d\u091a\u0930 \u0938\u0930\u094d\u091a \u0915\u094d\u0937\u092e\u0924\u093e \u0915\u0947 \u0938\u093e\u0925 \u090f\u0915 \u0935\u093f\u0938\u094d\u0924\u093e\u0930\u093f\u0924 \u092e\u0949\u0921\u0932 1 \u092f\u093e 2PL \u092e\u0949\u0921\u0932 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u0928 \u0915\u0930 \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/p>\n\n\n\n

        \u092a\u094d\u0930\u092f\u094b\u0917\u093e\u0924\u094d\u092e\u0915 \u092a\u0930\u093f\u0923\u093e\u092e<\/strong><\/h3>\n\n\n\n

        \u0926\u093f\u090f \u0917\u090f \u0917\u094d\u0930\u093e\u092b \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0902\u092c\u0902\u0927 \u0926\u0930\u094d\u0936\u093e\u0924\u0947 \u0939\u0948\u0902:<\/p>\n\n\n\n

        • \u092a\u093f\u092f\u0930\u094d\u0938\u0928 \u0938\u0939\u0938\u0902\u092c\u0902\u0927 \u0917\u0941\u0923\u093e\u0902\u0915 0.9857 \u0915\u0947 \u0938\u093e\u0925, \u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u0915\u0920\u093f\u0928\u093e\u0908 \u092c\u0928\u093e\u092e \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0915\u0920\u093f\u0928\u093e\u0908 \u0938\u094d\u0924\u0930<\/li>
        • \u092a\u093f\u092f\u0930\u094d\u0938\u0928 \u0938\u0939\u0938\u0902\u092c\u0902\u0927 \u0917\u0941\u0923\u093e\u0902\u0915 0.9954 \u0915\u0947 \u0938\u093e\u0925, \u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u0915\u094d\u0937\u092e\u0924\u093e \u092c\u0928\u093e\u092e \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0915\u094d\u0937\u092e\u0924\u093e \u0938\u094d\u0924\u0930,<\/li>
        • \u092a\u093f\u092f\u0930\u094d\u0938\u0928 \u0938\u0939\u0938\u0902\u092c\u0902\u0927 \u0917\u0941\u0923\u093e\u0902\u0915 0.9926 \u0915\u0947 \u0938\u093e\u0925, \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0938\u0939\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0940 \u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092c\u0928\u093e\u092e \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e <\/li><\/ul>\n\n\n\n

          1PL \u0921\u0947\u091f\u093e \u092a\u0930 \u092a\u094d\u0930\u0936\u093f\u0915\u094d\u0937\u093f\u0924 \u0921\u0940\u092a \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u092e\u0949\u0921\u0932 \u0938\u0947, 1PL DIRT \u092e\u0949\u0921\u0932 \u0915\u0940 log \u0938\u0902\u092d\u093e\u0935\u0928\u093e 0.587 \u0939\u0948\u0964<\/p>\n\n\n\n

          \u091c\u0948\u0938\u093e \u0915\u093f \u0939\u092e \u0926\u0947\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u0939\u092e\u0947\u0902 \u0924\u0940\u0928\u094b\u0902 \u092a\u0930\u093f\u0938\u094d\u0925\u093f\u0924\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u090f\u0915 \u0905\u091a\u094d\u091b\u093e \u0938\u0939\u0938\u0902\u092c\u0902\u0927 \u092e\u093f\u0932\u0924\u093e \u0939\u0948, \u091c\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0939\u092e\u093e\u0930\u093e 1PL \u0921\u0940\u092a \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u092e\u0949\u0921\u0932 \u0938\u091f\u0940\u0915\u0924\u093e \u0915\u0947 \u0938\u093e\u0925 \u0915\u0920\u093f\u0928\u093e\u0908, \u0915\u094d\u0937\u092e\u0924\u093e \u0914\u0930 \u091f\u0947\u0938\u094d\u091f \u0938\u094d\u0915\u094b\u0930 \u0915\u093e \u092a\u0942\u0930\u094d\u0935\u093e\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e\u0928\u0947 \u092e\u0947\u0902 \u0938\u092b\u0932 \u0939\u0948\u0964<\/p>\n\n\n\n

          <\/p>\n\n\n\n


          \u091a\u093f\u0924\u094d\u0930 – 2 : \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092c\u0928\u093e\u092e \u0935\u094d\u092f\u0941\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0947\u0930\u0938 \u092e\u0949\u0921\u0932 \u0915\u0920\u093f\u0928\u093e\u0908 \u0914\u0930 \u0915\u094d\u0937\u092e\u0924\u093e \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u0930 \u0915\u093e  \u0938\u094d\u0915\u0948\u091f\u0930\u092a\u094d\u0932\u0949\u091f<\/strong><\/p>\n\n\n\n


          \u091a\u093f\u0924\u094d\u0930 – 3 : \u0939\u092e\u093e\u0930\u0947 \u092a\u094d\u0930\u0936\u093f\u0915\u094d\u0937\u093f\u0924 \u0915\u0947\u0930\u0938 \u092e\u0949\u0921\u0932 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092c\u0928\u093e\u092e \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u0947 \u0938\u0939\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0940 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u0939\u0947\u0915\u094d\u0938\u092c\u093f\u0928 \u092a\u094d\u0932\u0949\u091f<\/strong><\/p>\n\n\n\n

          \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937<\/strong><\/h3>\n\n\n\n

          \u0939\u092e\u0928\u0947 \u0926\u0947\u0916\u093e \u0915\u093f, \u0938\u093f\u092e\u094d\u092f\u0941\u0932\u0947\u0936\u0928 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930, 1PL \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u092e\u0949\u0921\u0932 \u0915\u094b \u0921\u0940\u092a \u0932\u0930\u094d\u0928\u093f\u0902\u0917 \u092e\u0949\u0921\u0932 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0932\u093e\u0917\u0942 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u0930 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947, \u0939\u092e \u0905\u092a\u0928\u0947 1PL \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u0906\u0927\u093e\u0930\u093f\u0924 \u092e\u0949\u0921\u0932 \u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u0932\u0930\u094d\u0928\u093f\u0902\u0917 \u0915\u094d\u0937\u092e\u0924\u093e \u0914\u0930 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u0947 \u0915\u0920\u093f\u0928\u093e\u0908 \u0938\u094d\u0924\u0930 \u0915\u093e \u0938\u091f\u0940\u0915 \u0905\u0928\u0941\u092e\u093e\u0928 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0928 \u0905\u0928\u0941\u092e\u093e\u0928\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0910\u0921\u0948\u092a\u094d\u091f\u093f\u0935 \u091f\u0947\u0938\u094d\u091f \u091c\u0928\u0930\u0947\u091f \u0915\u0930\u0928\u0947, \u0932\u0915\u094d\u0937\u094d\u092f \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0914\u0930 \u0905\u0928\u094d\u092f \u0921\u093e\u0909\u0928\u0938\u094d\u091f\u094d\u0930\u0940\u092e \u0938\u092e\u0938\u094d\u092f\u093e\u092f\u094b\u0902 \u092e\u0947\u0902 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 <\/p>\n\n\n\n

          \u0938\u0902\u0926\u0930\u094d\u092d:<\/strong><\/p>\n\n\n\n

          1. Frank B. Baker. \u201cThe basics of item response theory.\u201d ERIC, USA, 2001<\/li>
          2. Wikipedia. Item Response Theory https:\/\/en.wikipedia.org\/wiki\/Item_response_theory<\/li>
          3. Georg Rasch. “Studies in mathematical psychology: I. Probabilistic models for some intelligence and attainment tests.” 1960.<\/li>
          4. Keras Deep Learning framework: Keras<\/li><\/ol>\n","protected":false},"featured_media":318,"template":"","yoast_head":"\n1PL \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u092e\u093e\u0928\u0915\u0940\u0915\u0943\u0924 \u091f\u0947\u0938\u094d\u091f \u092e\u0947\u0902 \u091b\u093e\u0924\u094d\u0930 \u0915\u0947 \u0938\u094d\u0915\u094b\u0930 \u0915\u093e \u092a\u0942\u0930\u094d\u0935\u093e\u0928\u0941\u092e\u093e\u0928 - EMBIBE - The most powerful AI-powered learning platform<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.embibe.com\/in-hi\/artificial-intelligence-ai-in-education\/1pl-\u0906\u0907\u091f\u092e-\u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938-\u0925\u094d\u092f\u094b\u0930\u0940-\u0915\u0947\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"1PL \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u092e\u093e\u0928\u0915\u0940\u0915\u0943\u0924 \u091f\u0947\u0938\u094d\u091f \u092e\u0947\u0902 \u091b\u093e\u0924\u094d\u0930 \u0915\u0947 \u0938\u094d\u0915\u094b\u0930 \u0915\u093e \u092a\u0942\u0930\u094d\u0935\u093e\u0928\u0941\u092e\u093e\u0928 - EMBIBE - The most powerful AI-powered learning platform\" \/>\n<meta property=\"og:description\" content=\"1PL \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940 \u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u092e\u093e\u0928\u0915\u0940\u0915\u0943\u0924 \u091f\u0947\u0938\u094d\u091f \u092e\u0947\u0902 \u091b\u093e\u0924\u094d\u0930 \u0915\u0947 \u0938\u094d\u0915\u094b\u0930 \u0915\u093e \u092a\u0942\u0930\u094d\u0935\u093e\u0928\u0941\u092e\u093e\u0928 Embibe \u092e\u0947\u0902, \u0939\u092e \u0932\u0930\u094d\u0928\u093f\u0902\u0917 \u0925\u094d\u092f\u094b\u0930\u0940 \u0914\u0930 \u090f\u091c\u0941\u0915\u0947\u0936\u0928 \u0930\u093f\u0938\u0930\u094d\u091a \u0915\u0940 \u0938\u0939\u093e\u092f\u0924\u093e \u0938\u0947 \u0907\u0928\u0938\u093e\u0907\u091f \u0914\u0930 \u092e\u0949\u0921\u0932 \u0915\u094b \u0936\u093e\u092e\u093f\u0932 \u0915\u0930\u0915\u0947, \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u0915\u094b \u092e\u093e\u0928\u0915\u0940\u0915\u0943\u0924 \u091f\u0947\u0938\u094d\u091f \u092e\u0947\u0902 \u0909\u0928\u0915\u0947 \u0938\u094d\u0915\u094b\u0930 \u0915\u094b \u092c\u0947\u0939\u0924\u0930 \u092c\u0928\u093e\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0906\u0907\u091f\u092e \u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938 \u0925\u094d\u092f\u094b\u0930\u0940[1, 2] \u0928\u093e\u092e\u0915 \u090f\u0915 \u0910\u0938\u093e \u0935\u094d\u092f\u093e\u092a\u0915 \u0930\u0942\u092a \u0938\u0947 \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u093e \u092e\u0949\u0921\u0932, \u091b\u093e\u0924\u094d\u0930 \u0915\u0947 \u0915\u094c\u0936\u0932 \u092f\u093e \u0915\u094d\u0937\u092e\u0924\u093e \u0938\u094d\u0924\u0930 \u0915\u0947 \u0938\u093e\u0925-\u0938\u093e\u0925 \u092a\u094d\u0930\u092f\u093e\u0938 \u0915\u093f\u090f \u091c\u093e \u0930\u0939\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u0947 \u0915\u0920\u093f\u0928\u093e\u0908 \u0938\u094d\u0924\u0930 \u0915\u093e \u0905\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e\u0915\u0930 \u0915\u093f\u0938\u0940....\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.embibe.com\/in-hi\/artificial-intelligence-ai-in-education\/1pl-\u0906\u0907\u091f\u092e-\u0930\u093f\u0938\u094d\u092a\u0949\u0928\u094d\u0938-\u0925\u094d\u092f\u094b\u0930\u0940-\u0915\u0947\/\" \/>\n<meta property=\"og:site_name\" content=\"EMBIBE - 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