Knowledge (XXG)

Canberra distance

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Hill-Burns, Erin M.; Debelius, Justine W.; Morton, James T.; Wissemann, William T.; Lewis, Matthew R.; Wallen, Zachary D.; Peddada, Shyamal D.; Factor, Stewart A.; Molho, Eric; Zabetian, Cyrus P.; Knight, Rob; Payami, Haydeh (May 2017).
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Giuseppe Jurman; Samantha Riccadonna; Roberto Visintainer; Cesare Furlanello; "Canberra Distance on Ranked Lists", in Shivani Agrawal; Chris Burges; Koby Crammer (editors);
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Faith, Daniel P.; Minchin, Peter R.; Belbin, Lee (April 1987). "Compositional dissimilarity as a robust measure of ecological distance".
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Emran, Syed Masum; Ye, Nong (2002). "Robustness of chi-square and Canberra distance metrics for computer intrusion detection".
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The Canberra metric, Adkins form, divides the distance d by (n-Z) where Z is the number of attributes that are 0 for p and q.
715: 667: 700: 705: 368:{\displaystyle \mathbf {p} =(p_{1},p_{2},\dots ,p_{n}){\text{ and }}\mathbf {q} =(q_{1},q_{2},\dots ,q_{n})} 533:"Parkinson's disease and Parkinson's disease medications have distinct signatures of the gut microbiome" 399: 228:{\displaystyle d(\mathbf {p} ,\mathbf {q} )=\sum _{i=1}^{n}{\frac {|p_{i}-q_{i}|}{|p_{i}|+|q_{i}|}}} 394: 43: 512: 404: 39: 32: 428:(1966). "Computer programs for hierarchical polythetic classification ("similarity analysis")". 710: 562: 47: 651: 589: 552: 544: 504: 437: 379: 647: 639: 557: 532: 459: 425: 51: 28: 694: 516: 82: 24: 79: 441: 566: 462:(1967). "Mixed-data classificatory programs I.) Agglomerative Systems". 593: 548: 508: 23:
is a numerical measure of the distance between pairs of points in a
27:, introduced in 1966 and refined in 1967 by Godfrey N. Lance and 38:. The Canberra distance has been used as a metric for comparing 655: 247: 94: 481:
Proceedings, Advances in Ranking – NIPS 09 Workshop
367: 227: 496:Quality and Reliability Engineering International 675: 8: 682: 668: 556: 356: 337: 324: 309: 304: 295: 276: 263: 248: 246: 217: 211: 202: 194: 188: 179: 172: 166: 153: 144: 141: 135: 124: 109: 101: 93: 475: 473: 453: 451: 416: 50:. It has also been used to analyze the 7: 636: 634: 16:Measure of distance between vectors 654:. You can help Knowledge (XXG) by 14: 638: 310: 249: 110: 102: 362: 317: 301: 256: 218: 203: 195: 180: 173: 145: 114: 98: 31:. It is a weighted version of 1: 54:in different disease states. 464:Australian Computer Journal 732: 633: 650:-related article is a 369: 229: 140: 62:The Canberra distance 36:₁ (Manhattan) distance 716:Metric geometry stubs 442:10.1093/comjnl/9.1.60 370: 230: 120: 85:is given as follows: 460:Williams, William T. 426:Williams, William T. 245: 92: 613:"Canberra distance" 458:Lance, Godfrey N.; 424:Lance, Godfrey N.; 395:Normed vector space 44:intrusion detection 29:William T. Williams 594:10.1007/bf00038687 537:Movement Disorders 405:Manhattan distance 365: 225: 663: 662: 549:10.1002/mds.26942 307: 223: 48:computer security 21:Canberra distance 723: 701:Digital geometry 684: 677: 670: 642: 635: 627: 625: 623: 598: 597: 577: 571: 570: 560: 527: 521: 520: 490: 484: 483:, 2009, p. 22–27 477: 468: 467: 455: 446: 445: 430:Computer Journal 421: 374: 372: 371: 366: 361: 360: 342: 341: 329: 328: 313: 308: 305: 300: 299: 281: 280: 268: 267: 252: 234: 232: 231: 226: 224: 222: 221: 216: 215: 206: 198: 193: 192: 183: 177: 176: 171: 170: 158: 157: 148: 142: 139: 134: 113: 105: 66:between vectors 731: 730: 726: 725: 724: 722: 721: 720: 706:Metric geometry 691: 690: 689: 688: 648:metric geometry 631: 621: 619: 610: 607: 602: 601: 579: 578: 574: 529: 528: 524: 509:10.1002/qre.441 492: 491: 487: 478: 471: 457: 456: 449: 423: 422: 418: 413: 391: 352: 333: 320: 306: and  291: 272: 259: 243: 242: 207: 184: 178: 162: 149: 143: 90: 89: 60: 17: 12: 11: 5: 729: 727: 719: 718: 713: 708: 703: 693: 692: 687: 686: 679: 672: 664: 661: 660: 643: 629: 628: 606: 603: 600: 599: 588:(1–3): 57–68. 572: 543:(5): 739–749. 522: 485: 469: 447: 415: 414: 412: 409: 408: 407: 402: 397: 390: 387: 376: 375: 364: 359: 355: 351: 348: 345: 340: 336: 332: 327: 323: 319: 316: 312: 303: 298: 294: 290: 287: 284: 279: 275: 271: 266: 262: 258: 255: 251: 236: 235: 220: 214: 210: 205: 201: 197: 191: 187: 182: 175: 169: 165: 161: 156: 152: 147: 138: 133: 130: 127: 123: 119: 116: 112: 108: 104: 100: 97: 59: 56: 52:gut microbiome 15: 13: 10: 9: 6: 4: 3: 2: 728: 717: 714: 712: 709: 707: 704: 702: 699: 698: 696: 685: 680: 678: 673: 671: 666: 665: 659: 657: 653: 649: 644: 641: 637: 632: 618: 614: 611:Schulz, Jan. 609: 608: 604: 595: 591: 587: 583: 576: 573: 568: 564: 559: 554: 550: 546: 542: 538: 534: 526: 523: 518: 514: 510: 506: 502: 498: 497: 489: 486: 482: 476: 474: 470: 465: 461: 454: 452: 448: 443: 439: 435: 431: 427: 420: 417: 410: 406: 403: 401: 398: 396: 393: 392: 388: 386: 383: 381: 357: 353: 349: 346: 343: 338: 334: 330: 325: 321: 314: 296: 292: 288: 285: 282: 277: 273: 269: 264: 260: 253: 241: 240: 239: 212: 208: 199: 189: 185: 167: 163: 159: 154: 150: 136: 131: 128: 125: 121: 117: 106: 95: 88: 87: 86: 84: 81: 78:-dimensional 77: 73: 69: 65: 57: 55: 53: 49: 45: 41: 37: 35: 30: 26: 22: 656:expanding it 645: 630: 620:. Retrieved 616: 585: 581: 575: 540: 536: 525: 503:(1): 19–28. 500: 494: 488: 480: 463: 436:(1): 60–64. 433: 429: 419: 384: 377: 237: 83:vector space 75: 71: 67: 63: 61: 40:ranked lists 33: 25:vector space 20: 18: 695:Categories 622:18 October 605:References 58:Definition 582:Vegetatio 517:122959778 347:… 286:… 160:− 122:∑ 711:Distance 567:28195358 466:: 15–20. 389:See also 42:and for 617:Code 10 558:5469442 380:vectors 238:where 565:  555:  515:  400:Metric 74:in an 646:This 513:S2CID 411:Notes 652:stub 624:2011 563:PMID 378:are 80:real 70:and 19:The 590:doi 553:PMC 545:doi 505:doi 438:doi 46:in 697:: 615:. 586:69 584:. 561:. 551:. 541:32 539:. 535:. 511:. 501:18 499:. 472:^ 450:^ 432:. 382:. 683:e 676:t 669:v 658:. 626:. 596:. 592:: 569:. 547:: 519:. 507:: 444:. 440:: 434:9 363:) 358:n 354:q 350:, 344:, 339:2 335:q 331:, 326:1 322:q 318:( 315:= 311:q 302:) 297:n 293:p 289:, 283:, 278:2 274:p 270:, 265:1 261:p 257:( 254:= 250:p 219:| 213:i 209:q 204:| 200:+ 196:| 190:i 186:p 181:| 174:| 168:i 164:q 155:i 151:p 146:| 137:n 132:1 129:= 126:i 118:= 115:) 111:q 107:, 103:p 99:( 96:d 76:n 72:q 68:p 64:d 34:L

Index

vector space
William T. Williams
L₁ (Manhattan) distance
ranked lists
intrusion detection
computer security
gut microbiome
real
vector space
vectors
Normed vector space
Metric
Manhattan distance
Williams, William T.
doi
10.1093/comjnl/9.1.60


Williams, William T.


Quality and Reliability Engineering International
doi
10.1002/qre.441
S2CID
122959778
"Parkinson's disease and Parkinson's disease medications have distinct signatures of the gut microbiome"
doi
10.1002/mds.26942
PMC

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