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Margin (machine learning)

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There are many hyperplanes that might classify the data. One reasonable choice as the best hyperplane is the one that represents the largest separation, or margin, between the two classes. So we choose the hyperplane so that the distance from it to the nearest data point on each side is maximized. If
81: 139: 35: 361: 288:) as to why maximizing the margin (under some suitable constraints) may be beneficial for machine learning and statistical inferences algorithms. 385: 190: 227: 209: 162: 99: 49: 380: 169: 143: 41: 354: 276:. Note that there are many distances and decision boundaries that may be appropriate for certain datasets and goals. A 176: 128: 158: 147: 132: 294: 347: 281: 327: 183: 240: 301: 277: 273: 331: 265: 374: 280:
is a classifier that explicitly utilizes the margin of each example while learning a
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of a single data point is defined to be the distance from the data point to a
239: 111: 56: 15: 335: 77: 298:and the linear classifier it defines is known as a 284:There are theoretical justifications (based on the 72:
may be too technical for most readers to understand
355: 292:such a hyperplane exists, it is known as the 8: 146:. Unsourced material may be challenged and 50:Learn how and when to remove these messages 362: 348: 228:Learn how and when to remove this message 210:Learn how and when to remove this message 100:Learn how and when to remove this message 84:, without removing the technical details. 260:separates them with the maximum margin. 82:make it understandable to non-experts 7: 316: 314: 144:adding citations to reliable sources 254:does, but only with a small margin. 334:. You can help Knowledge (XXG) by 14: 31:This article has multiple issues. 318: 116: 61: 20: 39:or discuss these issues on the 248:does not separate the classes. 159:"Margin" machine learning 1: 402: 386:Computer programming stubs 313: 295:maximum-margin hyperplane 381:Support vector machines 305:; or equivalently, the 330:-related article is a 261: 310:of optimal stability. 243: 328:computer-programming 140:improve this article 262: 343: 342: 302:margin classifier 278:margin classifier 274:decision boundary 238: 237: 230: 220: 219: 212: 194: 110: 109: 102: 54: 393: 364: 357: 350: 322: 315: 266:machine learning 233: 226: 215: 208: 204: 201: 195: 193: 152: 120: 112: 105: 98: 94: 91: 85: 65: 64: 57: 46: 24: 23: 16: 401: 400: 396: 395: 394: 392: 391: 390: 371: 370: 369: 368: 259: 255: 253: 249: 247: 234: 223: 222: 221: 216: 205: 199: 196: 153: 151: 137: 121: 106: 95: 89: 86: 78:help improve it 75: 66: 62: 25: 21: 12: 11: 5: 399: 397: 389: 388: 383: 373: 372: 367: 366: 359: 352: 344: 341: 340: 323: 257: 251: 245: 236: 235: 218: 217: 124: 122: 115: 108: 107: 90:September 2010 69: 67: 60: 55: 29: 28: 26: 19: 13: 10: 9: 6: 4: 3: 2: 398: 387: 384: 382: 379: 378: 376: 365: 360: 358: 353: 351: 346: 345: 339: 337: 333: 329: 324: 321: 317: 312: 311: 309: 304: 303: 297: 296: 289: 287: 283: 279: 275: 271: 267: 242: 232: 229: 214: 211: 203: 192: 189: 185: 182: 178: 175: 171: 168: 164: 161: –  160: 156: 155:Find sources: 149: 145: 141: 135: 134: 130: 125:This article 123: 119: 114: 113: 104: 101: 93: 83: 79: 73: 70:This article 68: 59: 58: 53: 51: 44: 43: 38: 37: 32: 27: 18: 17: 336:expanding it 325: 306: 299: 293: 290: 286:VC dimension 269: 263: 224: 206: 197: 187: 180: 173: 166: 154: 138:Please help 126: 96: 87: 71: 47: 40: 34: 33:Please help 30: 282:classifier. 200:August 2014 375:Categories 308:perceptron 170:newspapers 36:improve it 127:does not 42:talk page 300:maximum 184:scholar 148:removed 133:sources 76:Please 270:margin 186:  179:  172:  165:  157:  326:This 191:JSTOR 177:books 332:stub 268:the 163:news 131:any 129:cite 264:In 142:by 80:to 377:: 45:. 363:e 356:t 349:v 338:. 258:3 256:H 252:2 250:H 246:1 244:H 231:) 225:( 213:) 207:( 202:) 198:( 188:· 181:· 174:· 167:· 150:. 136:. 103:) 97:( 92:) 88:( 74:. 52:) 48:(

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machine learning
decision boundary
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maximum-margin hyperplane
margin classifier
perceptron
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