{"id":1175,"date":"2023-07-27T09:50:11","date_gmt":"2023-07-27T09:50:11","guid":{"rendered":"https:\/\/statorials.org\/my\/k-cross-validation-%e1%80%80%e1%80%ad%e1%80%af-%e1%80%81%e1%80%b1%e1%80%ab%e1%80%80%e1%80%ba%e1%80%95%e1%80%ab%e1%81%8b\/"},"modified":"2023-07-27T09:50:11","modified_gmt":"2023-07-27T09:50:11","slug":"k-cross-validation-%e1%80%80%e1%80%ad%e1%80%af-%e1%80%81%e1%80%b1%e1%80%ab%e1%80%80%e1%80%ba%e1%80%95%e1%80%ab%e1%81%8b","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/k-cross-validation-%e1%80%80%e1%80%ad%e1%80%af-%e1%80%81%e1%80%b1%e1%80%ab%e1%80%80%e1%80%ba%e1%80%95%e1%80%ab%e1%81%8b\/","title":{"rendered":"K-fold cross-validation \u1021\u1010\u103d\u1000\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c\u101c\u1019\u103a\u1038\u100a\u103d\u103e\u1014\u103a"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1015\u1031\u102b\u103a\u101b\u103e\u102d \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u104f\u1005\u103d\u1019\u103a\u1038\u1006\u1031\u102c\u1004\u103a\u101b\u100a\u103a\u1000\u102d\u102f \u1021\u1000\u1032\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103e\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u1014\u103e\u1004\u1037\u103a \u1019\u100a\u103a\u1019\u103b\u103e\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u1000\u102d\u102f\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101b\u1014\u103a\u1021\u101e\u102f\u1036\u1038\u1021\u1019\u103b\u102c\u1038\u1006\u102f\u1036\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a mean square error (MSE) \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">MSE = (1\/n)*\u03a3(y <sub>i<\/sub> \u2013 f(x <sub>i<\/sub> )) <sup>\u1042<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n-<\/strong> \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>y <sub>i<\/sub> :<\/strong> <sup>IT<\/sup> Observation \u104f \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>f(x <sub>i<\/sub> ):<\/strong> i <sup>th<\/sup> observation \u104f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1014\u102e\u1038\u1000\u1015\u103a\u101c\u1031\u104a MSE \u101e\u100a\u103a \u1014\u102d\u1019\u1037\u103a\u101c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f\u104f MSE \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101c\u102f\u1015\u103a\u1004\u1014\u103a\u1038\u1005\u1009\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> \u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u1000\u102d\u102f \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1021\u1005\u102f\u1036\u1014\u103e\u1004\u1037\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u1005\u102f\u1036\u101e\u102d\u102f\u1037 \u1001\u103d\u1032\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1019\u103e\u102f\u1021\u1005\u102f\u1036\u1019\u103e \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u101e\u102c \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a\u1015\u1010\u103a\u101e\u1000\u103a\u1015\u103c\u102e\u1038 \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101b\u1014\u103a\u1014\u103e\u1004\u1037\u103a \u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u104f MSE \u1000\u102d\u102f\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101b\u1014\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">MSE \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u101a\u1001\u1004\u103a\u1000\u1019\u1019\u103c\u1004\u103a\u1016\u1030\u1038\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a \u1019\u100a\u103a\u1019\u103b\u103e \u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103d\u1014\u103a\u1005\u103d\u102c \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1021\u1000\u103c\u1036\u1025\u102c\u100f\u103a\u1015\u1031\u1038\u101e\u100a\u103a\u104b \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u104a \u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038\u101e\u1031\u102c\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u1005\u102f\u1036\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u104f\u1021\u102c\u1038\u1014\u100a\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103e\u102c MSE \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101e\u100a\u103a\u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1014\u103e\u1004\u1037\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u1005\u102f\u1036\u1010\u103d\u1004\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u1031\u102c\u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u103a\u1019\u1030\u1010\u100a\u103a\u1015\u103c\u102e\u1038\u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1015\u103c\u103f\u1014\u102c\u1000\u102d\u102f \u101b\u103e\u1031\u102c\u1004\u103a\u101b\u103e\u102c\u1038\u101b\u1014\u103a \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u1021\u102c\u1038 \u1021\u1000\u103c\u102d\u1019\u103a\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1005\u1031\u101b\u1014\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038\u104a \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f MSE \u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1016\u103c\u1005\u103a MSE \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101a\u1031\u1018\u1030\u101a\u103b\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1000\u102d\u102f cross-validation \u101f\u102f\u1001\u1031\u102b\u103a\u1015\u103c\u102e\u1038 \u104e\u1004\u103a\u1038\u104f \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f <b>k-fold cross-validation<\/b> \u101f\u102f\u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>K-Fold \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1021\u1010\u100a\u103a\u1015\u103c\u102f\u1001\u103b\u1000\u103a<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>K-fold cross-validation \u101e\u100a\u103a<\/strong> \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1021\u1000\u1032\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1001\u103b\u1009\u103a\u1038\u1000\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 1- \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103c\u1031 \u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u101b\u103e\u102d\u101e\u1031\u102c <em>k<\/em> \u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a &#8220; folds&#8221;  \u1010\u103d\u1004\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1000\u103b\u1015\u1014\u103a\u1038\u1001\u103d\u1032\u1015\u102b\u104b<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11712 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kfold1.png\" alt=\"\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1000\u102d\u102f k \u1001\u1031\u102b\u1000\u103a\u1019\u103b\u102c\u1038 \u1001\u103d\u1032\u1015\u102b\u104b\" width=\"530\" height=\"133\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2- \u101e\u1004\u103a\u104f\u1000\u102d\u102f\u1004\u103a\u1006\u1031\u102c\u1004\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u1021\u1016\u103c\u1005\u103a \u1001\u1031\u102b\u1000\u103a\u1019\u103b\u102c\u1038\u1011\u1032\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101b\u103d\u1031\u1038\u1015\u102b\u104b \u1014\u1019\u1030\u1014\u102c\u1000\u102d\u102f \u1000\u103b\u1014\u103a k-1 \u1001\u1031\u102b\u1000\u103a\u101e\u102d\u102f\u1037 \u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1015\u102b\u104b \u1010\u1004\u103a\u1038\u1019\u102c\u1014\u1031\u101e\u1031\u102c \u1021\u1011\u1015\u103a\u1010\u103d\u1004\u103a \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f MSE \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11713 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kfold2.png\" alt=\"k-fold \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1021\u1010\u100a\u103a\u1015\u103c\u102f\u1001\u103b\u1000\u103a\" width=\"550\" height=\"174\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- \u1024\u101c\u102f\u1015\u103a\u1004\u1014\u103a\u1038\u1005\u1009\u103a <em>k<\/em> \u1000\u103c\u102d\u1019\u103a\u1000\u102d\u102f \u1016\u101a\u103a\u1011\u102f\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u1021\u1016\u103c\u1005\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1005\u102f\u1036\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u103c\u102e\u1038\u1010\u102d\u102f\u1004\u103a\u1038\u104a \u1021\u1000\u103c\u102d\u1019\u103a\u1010\u102d\u102f\u1004\u103a\u1038 \u1015\u103c\u1014\u103a\u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11714 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kfold3.png\" alt=\"k-fold cross-validation \u1014\u1019\u1030\u1014\u102c\" width=\"618\" height=\"234\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 4- \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u104f <em>k<\/em> MSE \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1016\u103c\u1005\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u104f \u1021\u101c\u102f\u1036\u1038\u1005\u102f\u1036 MSE \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038 MSE = (1\/k)*\u03a3MSE <sub>i<\/sub><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>k:<\/strong> \u1001\u1031\u102b\u1000\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MSE <sub>i<\/sub><\/strong> : <sup>iteration<\/sup> \u1010\u103d\u1004\u103a MSE \u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1015\u102b\u104b<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>K \u1000\u102d\u102f\u1018\u101a\u103a\u101c\u102d\u102f\u101b\u103d\u1031\u1038\u1019\u101c\u1032\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u101a\u1031\u1018\u1030\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a k-fold cross-validation \u1010\u103d\u1004\u103a\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u1031\u102c folds \u1019\u103b\u102c\u1038\u101c\u1031\u104a MSE test bias \u1014\u100a\u103a\u1038\u1015\u102b\u1038\u101c\u1031\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1015\u102d\u102f\u1019\u103b\u102c\u1038\u101c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u1031\u102c \u1021\u1001\u1031\u102b\u1000\u103a\u1019\u103b\u102c\u1038\u1014\u100a\u103a\u1038\u101c\u1031\u104a \u1018\u1000\u103a\u101c\u102d\u102f\u1000\u103a\u1019\u103e\u102f \u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1014\u100a\u103a\u1038\u1015\u102b\u1038\u101c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1005\u1000\u103a\u101e\u1004\u103a\u101a\u1030\u1019\u103e\u102f\u1010\u103d\u1004\u103a <a href=\"https:\/\/statorials.org\/my\/\u1018\u1000\u103a\u101c\u102d\u102f\u1000\u103a\u1019\u103e\u102f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f-\u1021\u1015\u1031\u1038\u1021\u101a\u1030\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1018\u1000\u103a\u101c\u102d\u102f\u1000\u103a\u1019\u103e\u102f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1016\u101c\u103e\u101a\u103a\u1019\u103e\u102f\u104f<\/a> \u1002\u1014\u1039\u1010\u101d\u1004\u103a\u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101a\u1031\u1018\u1030\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a 5 \u1014\u103e\u1004\u1037\u103a 10 pies \u1021\u1000\u103c\u102c\u1038\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a\u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u101e\u100a\u103a\u104b <a href=\"https:\/\/www.ime.unicamp.br\/~dias\/Intoduction%20to%20Statistical%20Learning.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><em>\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101c\u1031\u1037\u101c\u102c\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1014\u102d\u1012\u102b\u1014\u103a\u1038<\/em> \u1010\u103d\u1004\u103a \u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u1037\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u104a<\/a> \u1024\u1021\u1000\u103c\u102d\u1019\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u101e\u100a\u103a \u1018\u1000\u103a\u101c\u102d\u102f\u1000\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u103c\u102c\u1038 \u1021\u1000\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1036\u1038\u1001\u103b\u102d\u1014\u103a\u1001\u103d\u1004\u103a\u101c\u103b\u103e\u102c\u1000\u102d\u102f \u1015\u1031\u1038\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1015\u103c\u101e\u1011\u102c\u1038\u1015\u103c\u102e\u1038 \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u104f MSE \u104f \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u101b\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u1038\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\">\u1021\u1014\u103e\u1005\u103a\u1001\u103b\u102f\u1015\u103a\u101b\u101b\u1014\u103a\u104a k-fold \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1010\u101b\u102c\u1038\u101d\u1004\u103a\u1005\u1005\u103a\u1006\u1031\u1038\u1001\u103c\u1004\u103a\u1038\u1010\u103d\u1004\u103a k \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u1031\u102c \u1018\u1000\u103a\u101c\u102d\u102f\u1000\u103a\u1019\u103e\u102f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1016\u101c\u103e\u101a\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f \u101b\u103e\u102d\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1024\u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u1005\u1009\u103a\u1038\u1005\u102c\u1038\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u104a \u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a k = 5 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a k = 10 \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d k-fold \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1021\u1010\u100a\u103a\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u104a \u1021\u1018\u101a\u103a\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u1006\u102d\u102f\u101e\u1031\u102c\u103a \u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1018\u1000\u103a\u101c\u102d\u102f\u1000\u103a\u1019\u103e\u102f\u1019\u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u1018\u1032 \u1021\u101c\u103d\u1014\u103a\u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101e\u1031\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u1001\u1036\u1005\u102c\u1038\u101b\u101e\u100a\u1037\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u1019\u103e\u102c\u1038\u1021\u101a\u103d\u1004\u103a\u1038\u1014\u103e\u102f\u1014\u103a\u1038\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u101c\u1012\u103a\u1021\u1016\u103c\u1005\u103a \u1019\u103b\u1000\u103a\u1019\u103c\u1004\u103a\u1000\u102d\u102f\u101a\u103a\u1010\u103d\u1031\u1037\u1015\u103c\u101e\u1011\u102c\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1005\u102c\u1019\u103b\u1000\u103a\u1014\u103e\u102c 184\u104a <em>\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101c\u1031\u1037\u101c\u102c\u1001\u103c\u1004\u103a\u1038 \u1014\u102d\u1012\u102b\u1014\u103a\u1038<\/em><\/span><\/p>\n<\/blockquote>\n<h3> <span style=\"color: #000000;\"><strong>K-Fold Cross-Validation \u104f\u1021\u1000\u103b\u102d\u102f\u1038\u1000\u103b\u1031\u1038\u1007\u1030\u1038\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1021\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038\u101e\u1031\u102c\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1021\u1016\u103c\u1005\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1021\u1005\u102f\u1036\u101b\u103e\u102d \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c MSE \u101e\u100a\u103a \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101e\u1004\u103a\u1000\u103c\u102c\u1038\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u103a\u1019\u1030\u1010\u100a\u103a\u104d \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">k-fold cross validation \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u1005\u102f\u1036\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d MSE \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u102c\u1038 \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u104f MSE \u104f \u1018\u1000\u103a\u1019\u101c\u102d\u102f\u1000\u103a\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f \u101b\u101b\u103e\u102d\u101b\u1014\u103a \u1021\u1001\u103d\u1004\u1037\u103a\u1021\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1000\u102d\u102f \u1015\u1031\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">K-fold cross-validation \u101e\u100a\u103a <a href=\"https:\/\/statorials.org\/my\/\u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038\u101e\u1031\u102c-cross-validation-\u1011\u102c\u1038\u1001\u1032\u1037\u1015\u102b\u104b\/\" target=\"_blank\" rel=\"noopener noreferrer\">Leave-One-Out Cross-Validation (LOOCV)<\/a> \u104f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1019\u103e\u102f\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1021\u102c\u1038\u101e\u102c\u1001\u103b\u1000\u103a\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u1015\u1031\u1038\u1005\u103d\u1019\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u101e\u100a\u103a <em>n<\/em> \u1021\u1019\u103c\u103e\u1031\u102c\u1000\u103a\u1021\u1005\u102c\u1038 \u1019\u1031\u102c\u103a\u1012\u101a\u103a <em>k<\/em> \u1014\u103e\u1004\u1037\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1014\u1031\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101b\u1014\u103a \u1021\u1001\u103b\u102d\u1014\u103a\u1000\u103c\u102c\u1019\u103c\u1004\u1037\u103a\u101e\u1031\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a\u104a k-fold cross-validation \u101e\u100a\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f MSE \u1000\u102d\u102f LOOCV \u1011\u1000\u103a \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1015\u102d\u102f\u1019\u102d\u102f\u1019\u103c\u1014\u103a\u1006\u1014\u103a\u1005\u103d\u102c \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038 \u1021\u1019\u103b\u102c\u1038\u1021\u1015\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1001\u103b\u1009\u103a\u1038\u1000\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1019\u103e \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c MSE \u101e\u100a\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u1031\u102c \u1001\u1031\u102b\u1000\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u1000 \u1021\u101c\u103d\u1014\u103a\u1006\u1004\u103a\u1010\u1030\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>K-Fold Cross-Validation \u1010\u102d\u102f\u1038\u1001\u103b\u1032\u1037\u1019\u103e\u102f\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">k-fold cross-validation \u1021\u1010\u103d\u1000\u103a extension \u1019\u103b\u102c\u1038\u1005\u103d\u102c \u101b\u103e\u102d\u101e\u100a\u103a\u104a\u104a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 k-fold cross-validation-<\/strong> \u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a k-fold cross-validation \u1000\u102d\u102f \u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038 <em>n<\/em> \u1021\u1000\u103c\u102d\u1019\u103a\u1021\u1016\u103c\u1005\u103a \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032\u101c\u102f\u1015\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1014\u103e\u1004\u1037\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u1005\u102f\u1036\u1019\u103b\u102c\u1038 \u101b\u1031\u102c\u1014\u103e\u1031\u102c\u101e\u100a\u1037\u103a\u1021\u1001\u102b\u1010\u102d\u102f\u1004\u103a\u1038\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u101e\u102c\u1019\u102c\u1014\u103a k-fold \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1005\u1005\u103a\u1006\u1031\u1038\u1001\u103c\u1004\u103a\u1038\u1011\u1000\u103a \u1015\u103c\u102e\u1038\u1019\u103c\u1031\u102c\u1000\u103a\u101b\u1014\u103a \u1015\u102d\u102f\u1000\u103c\u102c\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f MSE \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1010\u103d\u1004\u103a \u1018\u1000\u103a\u101c\u102d\u102f\u1000\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1015\u102d\u102f\u1019\u102d\u102f\u101c\u103b\u103e\u1031\u102c\u1037\u1001\u103b\u1015\u1031\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Leave-One-Out Cross-Validation-<\/strong> \u104e\u1004\u103a\u1038\u101e\u100a\u103a <em>k<\/em> = <em>n<\/em> \u1016\u103c\u1005\u103a\u101e\u100a\u1037\u103a k-fold \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1005\u1005\u103a\u1006\u1031\u1038\u1001\u103c\u1004\u103a\u1038\u104f \u1021\u1011\u1030\u1038\u1000\u102d\u1005\u1039\u1005\u101b\u1015\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1000\u102d\u102f <a href=\"https:\/\/statorials.org\/my\/\u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038\u101e\u1031\u102c-cross-validation-\u1011\u102c\u1038\u1001\u1032\u1037\u1015\u102b\u104b\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a<\/a> \u101e\u1004\u103a\u1015\u102d\u102f\u1019\u102d\u102f\u101c\u1031\u1037\u101c\u102c\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Stratified k-fold cross-validation-<\/strong> \u1024\u101e\u100a\u103a k-fold cross-validation \u1017\u102c\u1038\u101b\u103e\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1021\u102c\u1038 fold \u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f\u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a\u1015\u102f\u1036\u1005\u1036\u1016\u103c\u1004\u1037\u103a \u1015\u103c\u1014\u103a\u101c\u100a\u103a\u1005\u102e\u1005\u1009\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a\u1015\u102f\u1036\u1005\u1036\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b <a href=\"https:\/\/www.researchgate.net\/publication\/2352264_A_Study_of_Cross-Validation_and_Bootstrap_for_Accuracy_Estimation_and_Model_Selection\" target=\"_blank\" rel=\"noopener noreferrer\">Kohavi<\/a> \u1019\u103e \u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u100a\u1037\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u104a \u1024\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u101e\u100a\u103a \u101e\u102c\u1019\u1014\u103a k-fold cross-validation \u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u1000 \u1018\u1000\u103a\u101c\u102d\u102f\u1000\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1000\u103c\u102c\u1038 \u1015\u102d\u102f\u1019\u102d\u102f\u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103d\u1014\u103a\u101e\u1031\u102c \u1021\u1015\u1031\u1038\u1021\u101a\u1030\u1000\u102d\u102f \u1015\u1031\u1038\u1005\u103d\u1019\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Nested Cross-Validation-<\/strong> \u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a k-fold \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a validation \u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1000\u1032\u1016\u103c\u1010\u103a\u1005\u1009\u103a\u1021\u1010\u103d\u1004\u103a\u1038 \u101f\u102d\u102f\u1000\u103a\u1015\u102b\u1015\u102b\u101b\u102c\u1019\u102e\u1010\u102c \u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1019\u1000\u103c\u102c\u1001\u100f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1015\u1031\u102b\u103a\u101b\u103e\u102d \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u104f\u1005\u103d\u1019\u103a\u1038\u1006\u1031\u102c\u1004\u103a\u101b\u100a\u103a\u1000\u102d\u102f \u1021\u1000\u1032\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103e\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u1014\u103e\u1004\u1037\u103a \u1019\u100a\u103a\u1019\u103b\u103e\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u1000\u102d\u102f\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101b\u1014\u103a\u1021\u101e\u102f\u1036\u1038\u1021\u1019\u103b\u102c\u1038\u1006\u102f\u1036\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a mean square error (MSE) 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