{"id":1245,"date":"2023-07-27T03:54:17","date_gmt":"2023-07-27T03:54:17","guid":{"rendered":"https:\/\/statorials.org\/my\/r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-k-meoids\/"},"modified":"2023-07-27T03:54:17","modified_gmt":"2023-07-27T03:54:17","slug":"r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-k-meoids","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-k-meoids\/","title":{"rendered":"R \u101b\u103e\u102d k-medoids- \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Clustering \u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1004\u103a\u1038 \u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a <a href=\"https:\/\/statorials.org\/my\/\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a-\u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u101c\u1031\u1037\u101c\u102c\u1001\u103c\u1004\u103a\u1038\u104b\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1019\u103e\u102f<\/a> <em>\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f<\/em> \u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a \u1000\u103c\u102d\u102f\u1038\u1005\u102c\u1038\u101e\u100a\u1037\u103a \u1005\u1000\u103a\u101e\u1004\u103a\u101a\u1030\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u1015\u100a\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u100a\u103a\u101b\u103d\u101a\u103a\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1004\u103a\u1038\u101b\u103e\u102d \u101b\u103e\u102f\u1019\u103c\u1004\u103a\u101e\u102f\u1036\u1038\u101e\u1015\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f \u1021\u101c\u103d\u1014\u103a\u1010\u1030\u100a\u102e\u1015\u103c\u102e\u1038 \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u101b\u103e\u102d \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f \u1021\u101c\u103d\u1014\u103a\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u1037\u103a \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">Clustering \u101e\u100a\u103a <a href=\"https:\/\/statorials.org\/my\/\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c-\u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a-\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a<\/a> \u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1019\u100a\u1037\u103a\u1021\u1005\u102c\u1038 \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1004\u103a\u1038 \u1016\u103d\u1032\u1037\u1005\u100a\u103a\u1038\u1015\u102f\u1036\u1000\u102d\u102f\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a \u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101b\u103e\u1004\u103a\u1038\u1000\u103c\u102d\u102f\u1038\u1005\u102c\u1038\u1014\u1031\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a <a href=\"https:\/\/statorials.org\/my\/\u1000\u103c\u102e\u1038\u1000\u103c\u1015\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a-\u1000\u103c\u102e\u1038\u1000\u103c\u1015\u103a\u1019\u1011\u102c\u1038\u101e\u1031\u102c-\u101e\u1004\u103a\u101a\u1030\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1000\u103c\u102e\u1038\u1000\u103c\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1019\u101b\u103e\u102d\u101e\u1031\u102c \u101e\u1004\u103a\u101a\u1030\u1019\u103e\u102f<\/a> \u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101c\u102f\u1015\u103a\u1004\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u1032\u1037\u101e\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u101a\u1030\u101e\u100a\u1037\u103a\u1021\u1001\u102b\u1010\u103d\u1004\u103a \u1005\u103b\u1031\u1038\u1000\u103d\u1000\u103a\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1031\u1038\u1010\u103d\u1004\u103a Clustering \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1019\u103b\u102c\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1021\u102d\u1019\u103a\u1011\u1031\u102c\u1004\u103a\u1005\u102f\u101d\u1004\u103a\u1004\u103d\u1031<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1021\u102d\u1019\u103a\u1011\u1031\u102c\u1004\u103a\u1005\u102f \u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1021\u102d\u1019\u103a\u1011\u1031\u102c\u1004\u103a\u1026\u1038\u1005\u102e\u1038 \u1021\u1010\u1010\u103a\u1015\u100a\u102c<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1021\u1014\u102e\u1038\u1006\u102f\u1036\u1038\u1019\u103c\u102d\u102f\u1037\u1015\u103c\u1027\u101b\u102d\u101a\u102c\u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1024\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1000\u102d\u102f \u101b\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b\u104a \u1021\u101c\u102c\u1038\u1010\u1030\u1021\u102d\u1019\u103a\u1011\u1031\u102c\u1004\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u102c\u1038\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101b\u1014\u103a \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038 \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c\u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101d\u101a\u103a\u101a\u1030\u101b\u1014\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1000\u103c\u1031\u102c\u103a\u1004\u103c\u102c\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u102d\u102f \u1015\u102d\u102f\u1019\u102d\u102f\u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103d\u1014\u103a\u1005\u103d\u102c \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1015\u102d\u102f\u1019\u103b\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1016\u103d\u1032\u1037\u1001\u103c\u1004\u103a\u1038\u104f \u1021\u101e\u102f\u1036\u1038\u1021\u1019\u103b\u102c\u1038\u1006\u102f\u1036\u1038\u1015\u102f\u1036\u1005\u1036\u1019\u103b\u102c\u1038\u1011\u1032\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c <a href=\"https:\/\/statorials.org\/my\/k-\u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c-r-\u1016\u103c\u1004\u1037\u103a-\u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f-\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b\/\" target=\"_blank\" rel=\"noopener noreferrer\">k-means \u1021\u1005\u102f\u1021\u101d\u1031\u1038<\/a> \u101f\u102f \u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u1036\u1019\u1000\u1031\u102c\u1004\u103a\u1038\u1005\u103d\u102c\u1016\u103c\u1004\u1037\u103a\u104a \u1024\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1000\u102d\u102f outliers \u1019\u103b\u102c\u1038\u1019\u103e \u101c\u103d\u103e\u1019\u103a\u1038\u1019\u102d\u102f\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104a \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1021\u101e\u102f\u1036\u1038\u1019\u103b\u102c\u1038\u101e\u1031\u102c \u1021\u1001\u103c\u102c\u1038\u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1005\u101b\u102c\u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c <strong>k-medoids clustering<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>K-Medoids \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u1006\u102d\u102f\u1010\u102c\u1018\u102c\u101c\u1032\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">K-medoids clustering \u101e\u100a\u103a <em>K<\/em> \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103b\u102c\u1038\u1011\u1032\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u101e\u102d\u102f\u1037 \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1004\u103a\u1038 \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1011\u102c\u1038\u101b\u103e\u102d\u1015\u1031\u1038\u101e\u100a\u1037\u103a \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1006\u102f\u1036\u1038\u1015\u1014\u103a\u1038\u1010\u102d\u102f\u1004\u103a\u101e\u100a\u103a \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101b\u103e\u102d \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1004\u103a\u1038 \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f \u1021\u1010\u1031\u102c\u103a\u101c\u1031\u1038\u1006\u1004\u103a\u1010\u1030\u101e\u100a\u1037\u103a <em>K<\/em> \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103b\u102c\u1038 \u101b\u103e\u102d\u101b\u1014\u103a\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 K-Means \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. <em>K<\/em> \u1021\u1010\u103d\u1000\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101b\u103d\u1031\u1038\u1015\u102b\u104b<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1010\u103d\u1004\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101c\u102d\u102f\u101e\u100a\u1037\u103a \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u100a\u103a\u1019\u103b\u103e\u101b\u103e\u102d\u101e\u100a\u103a\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u100a\u103a\u104b \u1019\u1000\u103c\u102c\u1001\u100f\u1006\u102d\u102f\u101e\u101c\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <em>K<\/em> \u1021\u1010\u103d\u1000\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1015\u103c\u102e\u1038 \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u1015\u103c\u103f\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u1021\u101e\u1004\u1037\u103a\u101c\u103b\u1031\u102c\u103a\u1006\u102f\u1036\u1038\u1016\u103c\u1005\u103a\u101f\u1014\u103a\u101b\u103e\u102d\u101e\u100a\u1037\u103a \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f \u101e\u102d\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101b\u1014\u103a \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>2. \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f 1 \u1019\u103e <em>K<\/em> \u1019\u103e \u1000\u1014\u1026\u1038\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u101e\u102d\u102f\u1037 \u1000\u103b\u1015\u1014\u103a\u1038\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. \u1021\u1005\u102f\u1021\u1016\u103d\u1032\u1037\u1010\u102c\u101d\u1014\u103a\u1019\u103b\u102c\u1038 \u1019\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1019\u1001\u103b\u1004\u103a\u1038 \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101c\u102f\u1015\u103a\u1004\u1014\u103a\u1038\u1005\u1009\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><em>K<\/em> \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a\u104a <em>\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u104f \u1006\u103d\u1032\u1004\u1004\u103a\u1021\u102c\u1038\u1017\u101f\u102d\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/em> \u1024\u101e\u100a\u103a\u1019\u103e\u102c <em>k<\/em> th \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u104f \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u1021\u1004\u103a\u1039\u1002\u102b\u101b\u1015\u103a\u1019\u103b\u102c\u1038\u104f <em>p<\/em> <b>medians<\/b> \u104f vector \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038 \u1021\u101c\u101a\u103a\u1017\u101f\u102d\u102f\u1016\u103c\u1004\u1037\u103a \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u101e\u102d\u102f\u1037 \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u1031\u1038\u1015\u102b\u104b \u1024\u1010\u103d\u1004\u103a\u104a <em>\u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038<\/em> \u1000\u102d\u102f <a href=\"https:\/\/en.wikipedia.org\/wiki\/Euclidean_distance#Squared_Euclidean_distance\" target=\"_blank\" rel=\"noopener noreferrer\">Euclidean \u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038\u1000\u102d\u102f<\/a> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>\u1014\u100a\u103a\u1038\u1015\u100a\u102c\u1019\u103e\u1010\u103a\u1005\u102f-<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">k-medoids \u101e\u100a\u103a \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1011\u1000\u103a \u1019\u102e\u1012\u102e\u101a\u1036\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a \u1021\u101c\u101a\u103a\u1010\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a k-\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1011\u1000\u103a \u1021\u1000\u103c\u1019\u103a\u1038\u1016\u103b\u1009\u103a\u1038\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1015\u102d\u102f\u1021\u102c\u1038\u1000\u1031\u102c\u1004\u103a\u1038\u1010\u1010\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 \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u103d\u1004\u103a \u101c\u103d\u1014\u103a\u1000\u1032\u101e\u1031\u102c\u1021\u1005\u103d\u1014\u103a\u1038\u1021\u1011\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1019\u101b\u103e\u102d\u1015\u102b\u1000\u104a k-mean \u1014\u103e\u1004\u1037\u103a k-medoids \u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u101c\u102c\u1038\u1010\u1030\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1011\u102f\u1010\u103a\u1015\u1031\u1038\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<\/blockquote>\n<h3> <span style=\"color: #000000;\"><strong>R \u1010\u103d\u1004\u103a \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a K-Medoids<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a R \u1010\u103d\u1004\u103a k-medoids \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1015\u102f\u1036\u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a\u1000\u102d\u102f \u1025\u1015\u1019\u102c\u1015\u1031\u1038\u1011\u102c\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 1- \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u1031\u102c \u1015\u1000\u103a\u1000\u1031\u1037\u1001\u103a\u103b\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u1004\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1026\u1038\u1005\u103d\u102c\u104a R \u1010\u103d\u1004\u103a k-medoids \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1021\u1010\u103d\u1000\u103a \u1021\u101e\u102f\u1036\u1038\u101d\u1004\u103a\u101e\u1031\u102c\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1015\u1000\u103a\u1000\u1031\u1037\u1001\u103a\u103b\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1010\u1004\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #993300;\">library<\/span> (factoextra)\n<span style=\"color: #993300;\">library<\/span> (cluster)<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2: \u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1010\u1004\u103a\u1015\u103c\u102e\u1038 \u1015\u103c\u1004\u103a\u1006\u1004\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1021\u1010\u103d\u1000\u103a\u104a <em>\u101c\u1030\u101e\u1010\u103a\u1019\u103e\u102f<\/em> \u104a <em>\u1001\u103b\u1031\u1019\u103e\u102f\u1014\u103a\u1038\u101b\u1031\u1038<\/em> \u1014\u103e\u1004\u1037\u103a <em>\u1019\u102f\u1012\u102d\u1019\u103a\u1038\u1019\u103e\u102f\u1019\u103b\u102c\u1038<\/em> \u1021\u1010\u103d\u1000\u103a 1973 \u1001\u102f\u1014\u103e\u1005\u103a\u1010\u103d\u1004\u103a \u1021\u1019\u1031\u101b\u102d\u1000\u1014\u103a\u1015\u103c\u100a\u103a\u1014\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101b\u103e\u102d \u101c\u1030 100,000 \u1010\u1005\u103a\u1026\u1038\u101c\u103b\u103e\u1004\u103a \u1016\u1019\u103a\u1038\u1006\u102e\u1038\u1001\u1036\u101b\u1019\u103e\u102f \u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1015\u102b\u101d\u1004\u103a\u101e\u100a\u1037\u103a R \u1010\u103d\u1004\u103a\u1010\u100a\u103a\u1006\u1031\u102c\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c <em>USArrests<\/em> \u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038\u104a \u1019\u103c\u102d\u102f\u1037\u1015\u103c\u1010\u103d\u1004\u103a\u1014\u1031\u1011\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1015\u103c\u100a\u103a\u1014\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f \u101c\u1030\u1026\u1038\u101b\u1031\u101b\u102c\u1001\u102d\u102f\u1004\u103a\u1014\u103e\u102f\u1014\u103a\u1038 \u1012\u1031\u101e\u1019\u103b\u102c\u1038\u104b \u104a <em>UrbanPop<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b \u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a \u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><em>USArrests<\/em> \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1000\u102d\u102f \u1010\u1004\u103a\u1015\u102b\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1015\u103b\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1014\u1031\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u1010\u1014\u103a\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1000\u102d\u102f \u1016\u101a\u103a\u101b\u103e\u102c\u1038\u1015\u102b\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">0 mean of 0 \u1014\u103e\u1004\u1037\u103a standard deviation \u1000\u102d\u102f 1 \u101b\u103e\u102d\u101b\u1014\u103a dataset \u1021\u1010\u103d\u1004\u103a\u1038\u101b\u103e\u102d variable \u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c<\/span><\/li>\n<\/ul>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load data<\/span>\ndf &lt;-USArrests\n\n<span style=\"color: #008080;\">#remove rows with missing values<\/span><\/strong>\n<strong>df &lt;- na. <span style=\"color: #3366ff;\">omitted<\/span> (df)\n\n<span style=\"color: #008080;\">#scale each variable to have a mean of 0 and sd of 1<\/span><\/strong>\n<strong>df &lt;- scale(df)\n\n<span style=\"color: #008080;\">#view first six rows of dataset<\/span>\nhead(df)\n\n               Murder Assault UrbanPop Rape\nAlabama 1.24256408 0.7828393 -0.5209066 -0.003416473\nAlaska 0.50786248 1.1068225 -1.2117642 2.484202941\nArizona 0.07163341 1.4788032 0.9989801 1.042878388\nArkansas 0.23234938 0.2308680 -1.0735927 -0.184916602\nCalifornia 0.27826823 1.2628144 1.7589234 2.067820292\nColorado 0.02571456 0.3988593 0.8608085 1.864967207\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- \u1021\u1000\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1036\u1038\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f \u101b\u103e\u102c\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R \u1010\u103d\u1004\u103a k-medoid \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u201c\u1019\u102e\u1012\u102e\u101a\u1036\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u201d \u1021\u1010\u103d\u1000\u103a \u1021\u1010\u102d\u102f\u1000\u1031\u102c\u1000\u103a\u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u1037\u103a <strong>pam()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038 \u1021\u1031\u102c\u1000\u103a\u1015\u102b syntax \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>pam(\u1012\u1031\u1010\u102c\u104a k\u104a \u1019\u1000\u103a\u1011\u101b\u1005\u103a = &#8220; \u101a\u1030\u1000\u101c\u1005\u103a&#8221; \u104a \u101b\u1015\u103a\u1010\u100a\u103a\u1001\u103b\u1000\u103a = FALSE)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u1012\u1031\u1010\u102c-<\/strong> \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1021\u1019\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>k-<\/strong> \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u1019\u1000\u103a\u1011\u101b\u1005\u103a-<\/strong> \u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u1019\u1000\u103a\u1011\u101b\u1005\u103a\u104b \u1015\u102f\u1036\u101e\u1031\u101e\u100a\u103a <em>\u101a\u1030\u1000\u101c\u102d\u1012\u103a<\/em> \u1016\u103c\u1005\u103a\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u101e\u1004\u103a\u101e\u100a\u103a <em>\u1019\u1014\u103a\u101f\u1000\u103a\u1010\u1014\u103a\u1000\u102d\u102f<\/em> \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u101b\u1015\u103a\u1010\u100a\u103a\u1001\u103b\u1000\u103a-<\/strong> \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u101b\u103e\u102d \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1005\u103a\u1005\u1031\u101b\u1014\u103a\u104a \u1019\u1030\u101b\u1004\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1019\u103e\u102c\u1038\u1014\u1031\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1018\u101a\u103a\u1021\u1005\u102f\u1021\u1016\u103d\u1032\u1037 \u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000 \u1021\u1000\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1036\u1038\u1016\u103c\u1005\u103a\u1019\u101c\u1032\u1006\u102d\u102f\u1010\u102c \u1000\u103c\u102d\u102f\u1019\u101e\u102d\u101e\u1031\u1038\u1010\u1032\u1037\u1021\u1010\u103d\u1000\u103a\u104a \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u102c\u1019\u103e\u102c \u1000\u1030\u100a\u102e\u1015\u1031\u1038\u1014\u102d\u102f\u1004\u103a\u1010\u1032\u1037 \u1019\u1010\u1030\u100a\u102e\u1010\u1032\u1037 \u1002\u101b\u1015\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1015\u1031\u1038\u1019\u103e\u102c\u1016\u103c\u1005\u103a\u1015\u102b\u1010\u101a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u102f\u1001\u103c\u1004\u103a\u1038 \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u101e\u1031\u102c \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <strong>fviz_nbclust()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u104f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1021\u1010\u103d\u1004\u103a\u1038\u101b\u103e\u102d \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1021\u1005\u102f\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u101b\u1014\u103a\u104b<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>fviz_nbclust(df, pam, method = \u201c <span style=\"color: #008000;\">wss<\/span> \u201d)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12327 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kmedoide1.png\" alt=\"k-medoids \u1021\u1010\u103d\u1000\u103a \u1021\u1000\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1036\u1038 \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103b\u102c\u1038\" width=\"462\" height=\"449\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f \u1010\u102d\u102f\u1038\u101c\u102c\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u1021\u1019\u103b\u103e \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u104f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u101e\u100a\u103a \u101a\u1031\u1018\u1030\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u1019\u103c\u1032\u1010\u102d\u102f\u1038\u1014\u1031\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1024\u1007\u102c\u1010\u103a\u1000\u103d\u1000\u103a\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u101e\u100a\u103a \u201c\u1000\u103d\u1031\u1038\u101e\u100a\u103a\u201d \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1021\u1006\u1004\u1037\u103a\u1019\u103e\u1005\u1010\u1004\u103a\u101e\u100a\u1037\u103a &#8220; \u1012\u1030\u1038&#8221;  \u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u1014\u1031\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103d\u1000\u103a\u1000\u103d\u1000\u103a\u104f \u1000\u103d\u1031\u1038\u1000\u1031\u102c\u1000\u103a\u101e\u1031\u102c\u1021\u1019\u103e\u1010\u103a\u101e\u100a\u103a \u101a\u1031\u1018\u102f\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u1000\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1036\u1038\u1021\u1005\u102f\u1021\u1005\u100a\u103a\u1038\u1019\u103b\u102c\u1038\u104f \u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u1024\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1011\u1000\u103a <a href=\"https:\/\/statorials.org\/my\/\u1005\u1000\u103a\u101e\u1004\u103a\u101a\u1030\u1019\u103e\u102f-\u1021\u101c\u103d\u1014\u103a\u1021\u1000\u103b\u103d\u1036\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u101c\u103d\u1014\u103a\u1000\u1032\u1005\u103d\u102c \u101d\u1010\u103a\u1006\u1004\u103a<\/a> \u1014\u102d\u102f\u1004\u103a\u1016\u103d\u101a\u103a\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1002\u101b\u1015\u103a\u1021\u1010\u103d\u1000\u103a\u104a k = 4 \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u103d\u1004\u103a \u101e\u1031\u1038\u1004\u101a\u103a\u101e\u1031\u102c \u1021\u1000\u103d\u1031\u1038\u1021\u1000\u1031\u102c\u1000\u103a\u1010\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a &#8220; \u1000\u103d\u1031\u1038&#8221;  \u101b\u103e\u102d\u101e\u100a\u103a\u1000\u102d\u102f \u1010\u103d\u1031\u1037\u101b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1000\u103d\u102c\u101f\u1001\u103b\u1000\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103b\u102c\u1038\u104f \u1021\u1000\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1036\u1038\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1021\u1001\u103c\u102c\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103e\u102c \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1019\u101b\u103e\u102d\u1018\u1032 \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u104f\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c k \u104f \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1021\u1010\u103d\u1004\u103a\u1038\u1021\u1005\u102f\u1021\u1005\u100a\u103a\u1038\u1021\u1000\u103d\u1032\u1000\u103d\u1032\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101e\u100a\u1037\u103a <a style=\"color: #000000;\" href=\"https:\/\/web.stanford.edu\/~hastie\/Papers\/gap.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">deviation statistic<\/a> \u101f\u102f\u1001\u1031\u102b\u103a\u101e\u1031\u102c \u1019\u1000\u103a\u1011\u101b\u1005\u103a\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;\"><strong>fviz_gap_stat()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d <em>\u1021\u1005\u102f<\/em> \u1021\u101d\u1031\u1038\u1019\u103e <strong>clusGap(<\/strong> ) \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1021\u1005\u102f\u1021\u1005\u100a\u103a\u1038\u1019\u103b\u102c\u1038\u104f \u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1000\u103d\u102c\u101f\u1001\u103b\u1000\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate gap statistic based on number of clusters\n<\/span>gap_stat &lt;- clusGap(df,\n                    FUN = pam,\n                    K.max = 10, <span style=\"color: #008080;\">#max clusters to consider<\/span>\n                    B = 50) <span style=\"color: #008080;\">#total bootstrapped iterations<\/span>\n\n<span style=\"color: #008080;\">#plot number of clusters vs. gap statistic\n<\/span>fviz_gap_stat(gap_stat)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12328 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kmedoide2.png\" alt=\"K-medoids R \u1010\u103d\u1004\u103a \u1021\u1000\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1036\u1038\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\" width=\"443\" height=\"441\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1002\u101b\u1015\u103a\u1016\u103a\u1019\u103e\u104a \u1000\u103d\u102c\u101f\u1001\u103b\u1000\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u101e\u100a\u103a k = 4 \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u103d\u1004\u103a \u1021\u1019\u103c\u1004\u1037\u103a\u1006\u102f\u1036\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u101a\u1001\u1004\u103a\u1000 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u1032\u1037\u101e\u1031\u102c \u1010\u1036\u1010\u1031\u102c\u1004\u103a\u1006\u1005\u103a\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 4- Optimal <em>K<\/em> \u1016\u103c\u1004\u1037\u103a K-Medoids \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <em>k<\/em> \u104f \u1021\u1000\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1036\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a k-medoids \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<span style=\"color: #000000;\">set.seed(1)<\/span>\n\n#perform k-medoids clustering with k = 4 clusters\n<\/span>kmed &lt;- pam(df, k = 4)\n\n<span style=\"color: #008080;\">#view results\n<\/span>kmed\n\n              ID Murder Assault UrbanPop Rape\nAlabama 1 1.2425641 0.7828393 -0.5209066 -0.003416473\nMichigan 22 0.9900104 1.0108275 0.5844655 1.480613993\nOklahoma 36 -0.2727580 -0.2371077 0.1699510 -0.131534211\nNew Hampshire 29 -1.3059321 -1.3650491 -0.6590781 -1.252564419\nVector clustering:\n       Alabama Alaska Arizona Arkansas California \n             1 2 2 1 2 \n      Colorado Connecticut Delaware Florida Georgia \n             2 3 3 2 1 \n        Hawaii Idaho Illinois Indiana Iowa \n             3 4 2 3 4 \n        Kansas Kentucky Louisiana Maine Maryland \n             3 3 1 4 2 \n Massachusetts Michigan Minnesota Mississippi Missouri \n             3 2 4 1 3 \n       Montana Nebraska Nevada New Hampshire New Jersey \n             3 3 2 4 3 \n    New Mexico New York North Carolina North Dakota Ohio \n             2 2 1 4 3 \n      Oklahoma Oregon Pennsylvania Rhode Island South Carolina \n             3 3 3 3 1 \n  South Dakota Tennessee Texas Utah Vermont \n             4 1 2 3 4 \n      Virginia Washington West Virginia Wisconsin Wyoming \n             3 3 4 4 3 \nObjective function:\n   build swap \n1.035116 1.027102 \n\nAvailable components:\n [1] \"medoids\" \"id.med\" \"clustering\" \"objective\" \"isolation\" \n [6] \"clusinfo\" \"silinfo\" \"diss\" \"call\" \"data\"          \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1021\u1005\u102f\u1021\u101d\u1031\u1038 \u101c\u1031\u1038\u1001\u102f\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1021\u1010\u103d\u1004\u103a\u1038 \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b \u1021\u1011\u103d\u1000\u103a\u104f\u1011\u102d\u1015\u103a\u1021\u1014\u102e\u1038\u1010\u103d\u1004\u103a \u1021\u101c\u101a\u103a\u1017\u101f\u102d\u102f\u101c\u1031\u1038\u1001\u102f\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1015\u103c\u100a\u103a\u1014\u101a\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1018\u102c\u1038\u1019\u102c\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1019\u102e\u101b\u103e\u102e\u1002\u1014\u103a<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u101f\u102d\u102f\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\">New Hampshire<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>fivz_cluster()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d axes \u1015\u1031\u102b\u103a\u101b\u103e\u102d \u1015\u1011\u1019\u1021\u1013\u102d\u1000\u1021\u1005\u102d\u1010\u103a\u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f\u1015\u103c\u101e\u101e\u100a\u1037\u103a scatterplot \u1010\u103d\u1004\u103a \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u103c\u1004\u103a\u101a\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#plot results of final k-medoids model\n<span style=\"color: #000000;\">fviz_cluster(kmed, data = df)\n<\/span><\/span><\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12329 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kmedoide3.png\" alt=\"R \u1010\u103d\u1004\u103a k-medoid \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u1005\u102e\u1021\u1005\u1009\u103a\u1006\u103d\u1032\u1001\u103c\u1004\u103a\u1038\u104b\" width=\"497\" height=\"500\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u103c\u100a\u103a\u1014\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u102c\u101d\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u1030\u101b\u1004\u103a\u1038\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u101e\u102d\u102f\u1037\u101c\u100a\u103a\u1038 \u1011\u100a\u1037\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#add cluster assignment to original data\n<span style=\"color: #000000;\">final_data &lt;- cbind(USArrests, cluster = kmed$cluster)\n<\/span>\n#view final data\n<span style=\"color: #000000;\">head(final_data)\n\n           Murder Assault UrbanPop Rape cluster\nAlabama 13.2 236 58 21.2 1\nAlaska 10.0 263 48 44.5 2\nArizona 8.1 294 80 31.0 2\nArkansas 8.8 190 50 19.5 1\nCalifornia 9.0 276 91 40.6 2\nColorado 7.9 204 78 38.7 2\n<\/span><\/span><\/strong><\/pre>\n<hr>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u1031\u102c R \u1000\u102f\u1012\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u1000\u102d\u102f <a href=\"https:\/\/github.com\/Statorials\/R-Guides\/blob\/main\/k_medoids.R\" target=\"_blank\" rel=\"noopener noreferrer\">\u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a<\/a> \u101b\u103e\u102c\u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Clustering \u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1004\u103a\u1038 \u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1019\u103e\u102f \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a \u1000\u103c\u102d\u102f\u1038\u1005\u102c\u1038\u101e\u100a\u1037\u103a \u1005\u1000\u103a\u101e\u1004\u103a\u101a\u1030\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u1015\u100a\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u101b\u100a\u103a\u101b\u103d\u101a\u103a\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1004\u103a\u1038\u101b\u103e\u102d \u101b\u103e\u102f\u1019\u103c\u1004\u103a\u101e\u102f\u1036\u1038\u101e\u1015\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f \u1021\u101c\u103d\u1014\u103a\u1010\u1030\u100a\u102e\u1015\u103c\u102e\u1038 \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u101b\u103e\u102d \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f \u1021\u101c\u103d\u1014\u103a\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u1037\u103a \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b Clustering \u101e\u100a\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a \u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1019\u100a\u1037\u103a\u1021\u1005\u102c\u1038 \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1004\u103a\u1038 \u1016\u103d\u1032\u1037\u1005\u100a\u103a\u1038\u1015\u102f\u1036\u1000\u102d\u102f\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a \u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101b\u103e\u1004\u103a\u1038\u1000\u103c\u102d\u102f\u1038\u1005\u102c\u1038\u1014\u1031\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103c\u102e\u1038\u1000\u103c\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1019\u101b\u103e\u102d\u101e\u1031\u102c \u101e\u1004\u103a\u101a\u1030\u1019\u103e\u102f \u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u101c\u102f\u1015\u103a\u1004\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u1032\u1037\u101e\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u101a\u1030\u101e\u100a\u1037\u103a\u1021\u1001\u102b\u1010\u103d\u1004\u103a \u1005\u103b\u1031\u1038\u1000\u103d\u1000\u103a\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1031\u1038\u1010\u103d\u1004\u103a Clustering \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1019\u103b\u102c\u1038\u1015\u102b\u101e\u100a\u103a\u104b \u1021\u102d\u1019\u103a\u1011\u1031\u102c\u1004\u103a\u1005\u102f\u101d\u1004\u103a\u1004\u103d\u1031 \u1021\u102d\u1019\u103a\u1011\u1031\u102c\u1004\u103a\u1005\u102f \u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 \u1021\u102d\u1019\u103a\u1011\u1031\u102c\u1004\u103a\u1026\u1038\u1005\u102e\u1038 \u1021\u1010\u1010\u103a\u1015\u100a\u102c \u1021\u1014\u102e\u1038\u1006\u102f\u1036\u1038\u1019\u103c\u102d\u102f\u1037\u1015\u103c\u1027\u101b\u102d\u101a\u102c\u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038 \u1024\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1000\u102d\u102f \u101b\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b\u104a \u1021\u101c\u102c\u1038\u1010\u1030\u1021\u102d\u1019\u103a\u1011\u1031\u102c\u1004\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u102c\u1038\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101b\u1014\u103a \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038 \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c\u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f 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