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F-score

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of the test, where the precision is the number of true positive results divided by the number of all samples predicted to be positive, including those not identified correctly, and the recall is the number of true positive results divided by the number of all samples that should have been identified
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ignores the True Negatives and thus is misleading for unbalanced classes, while kappa and correlation measures are symmetric and assess both directions of predictability - the classifier predicting the true class and the true class predicting the classifier prediction, proposing separate multiclass
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Macro F1 is a macro-averaged F1 score. To calculate macro F1, two different averaging-formulas have been used: the F-score of (arithmetic) class-wise precision and recall means or the arithmetic mean of class-wise F-scores, where the latter exhibits more desirable properties.
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of positive to negative test cases. This means that comparison of the F-score across different problems with differing class ratios is problematic. One way to address this issue (see e.g., Siblini et al., 2020 ) is to use a standard class ratio
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score since it gives equal importance to precision and recall. In practice, different types of mis-classifications incur different costs. In other words, the relative importance of precision and recall is an aspect of the problem.
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is its lack of symmetry. It means it may change its value when dataset labeling is changed - the "positive" samples are named "negative" and vice versa. This criticism is met by the
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performance. It is particularly relevant in applications which are primarily concerned with the positive class and where the positive class is rare relative to the negative class.
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If the scoring model is uninformative (cannot distinguish between the positive and negative class) then the optimal threshold is 0 so that the positive class is always predicted.
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The highest possible value of an F-score is 1.0, indicating perfect precision and recall, and the lowest possible value is 0, if precision and recall are zero.
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Siblini, W.; Fréry, J.; He-Guelton, L.; Oblé, F.; Wang, Y. Q. (2020). "Master your metrics with calibration". In M. Berthold; A. Feelders; G. Krempl (eds.).
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score, but with the proliferation of large scale search engines, performance goals changed to place more emphasis on either precision or recall and so
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Brooks, Harold; Brown, Barb; Ebert, Beth; Ferro, Chris; Jolliffe, Ian; Koh, Tieh-Yong; Roebber, Paul; Stephenson, David (2015-01-26).
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Lipton, Z.C., Elkan, C.P., & Narayanaswamy, B. (2014). F1-Optimal Thresholding in the Multi-Label Setting. ArXiv, abs/1402.1892.
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The name F-measure is believed to be named after a different F function in Van Rijsbergen's book, when introduced to the Fourth
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Powers, David M W (2011). "Evaluation: From Precision, Recall and F-Score to ROC, Informedness, Markedness & Correlation".
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Brabec, Jan; Komárek, Tomáš; Franc, Vojtěch; Machlica, Lukáš (2020). "On model evaluation under non-constant class imbalance".
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Precision-Recall Curve: points from different thresholds are color coded, the point with optimal F-score is highlighted in red
3561:"The advantages of the Matthews correlation coefficient (MCC) over F1 score and accuracy in binary classification evaluation" 3116:"The advantages of the Matthews correlation coefficient (MCC) over F1 score and accuracy in binary classification evaluation" 3072: 96:
of the precision and recall. It thus symmetrically represents both precision and recall in one metric. The more generic
2882: 1230: 3365: 2620: 2438: 1631: 66: 2326: 2234: 1947: 135: 2842: 2703: 1739: 2527: 2395:). A common method is to average the F-score over each class, aiming at a balanced measurement of performance. 1411: 70: 2537: 2248:
The F-score has been widely used in the natural language processing literature, such as in the evaluation of
3693:"A Closer Look at Classification Evaluation Metrics and a Critical Reflection of Common Evaluation Practice" 2793: 3779: 3471: 2552: 155: 3769: 2759: 2688: 2625: 79: 2572: 2547: 2532: 2053:
Type I error: A test result which wrongly indicates that a particular condition or attribute is present
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Type II error: A test result which wrongly indicates that a particular condition or attribute is absent
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are 2, which weighs recall higher than precision, and 0.5, which weighs recall lower than precision.
739: 75: 1191: 3329: 2658: 2249: 17: 2749: 2653: 2648: 2448: 2185: 1325: 2202: 2096: 1053: 461: 99: 3509: 3444: 3324: 3015:"Data Science for Business: What You Need to Know about Data Mining and Data-Analytic Thinking" 2590: 1306: 2233:. However, the F-measures do not take true negatives into account, hence measures such as the 2177: 1833: 1284: 54: 50: 2391:
The F-score is also used for evaluating classification problems with more than two classes (
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score applies additional weights, valuing one of precision or recall more than the other.
8: 2517: 2504: 1659: 1567: 1518: 1449: 1415: 3733: 3704: 3638: 3587: 3560: 3535: 3465: 3402: 3371: 3289: 3254: 3193: 3166: 3142: 3115: 2995: 2931: 2904: 2837: 2803: 2683: 2512: 2123: 1561: 1407: 2464: 2060: 3592: 3510:"A note on using the F-measure for evaluating record linkage algorithms - Dimensions" 3361: 3198: 3147: 3068: 3033: 3014: 2936: 2905:"Metrics for evaluating 3D medical image segmentation: analysis, selection, and tool" 2832: 2721: 2668: 2253: 1421: 3539: 2017:
A test result that correctly indicates the presence of a condition or characteristic
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A test result that correctly indicates the absence of a condition or characteristic
3089: 3304: 2991: 2972: 2788: 2731: 2610: 2454: 1177:{\displaystyle E=1-\left({\frac {\alpha }{p}}+{\frac {1-\alpha }{r}}\right)^{-1}} 3430:
Proceedings of the International Conference on Language Resources and Evaluation
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for the two directions, noting that their geometric mean is correlation.
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definition, which is sometimes indicated as a symmetrical extension of F
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Sitarz, Mikolaj (2022). "Extending F1 metric, probabilistic approach".
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may be preferred to assess the performance of a binary classifier.
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is a measure of predictive performance. It is calculated from the
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Powers, David M. W (2015). "What the F-measure doesn't measure".
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Ting, Kai Ming (2011). Sammut, Claude; Webb, Geoffrey I. (eds.).
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times as much importance to recall as precision". It is based on
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Transactions of the Association for Computational Linguistics
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of the set of retrieved items and the set of relevant items.
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Collaboration for Australian Weather and Climate Research
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According to Davide Chicco and Giuseppe Jurman, the F
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J. Opitz; S. Burst (2019). "Macro F1 and Macro F1".
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Learning query intent from regularized click graphs
3164: 1420:probability of detection, hit rate, 3012: 2218: 2160: 2132: 2112: 1267: 1219: 1176: 1089: 1069: 1039: 1015: 726: 537: 517: 497: 477: 437: 115: 3251:International Conference on Computational Science 1972:Threat score (TS), critical success index (CSI), 1268:{\displaystyle \alpha ={\frac {1}{1+\beta ^{2}}}} 3751: 3731: 3242: 2325:score is less truthful and informative than the 2313:and others criticize the widespread use of the F 3165:Chicco D, Toetsch N, Jurman G (February 2021). 146:The traditional F-measure or balanced F-score ( 3415: 2953: 2480: 2035:the number of real negative cases in the data 2008:the number of real positive cases in the data 1287:where recall is often termed "sensitivity". 3558: 3425:Complementarity, F-score, and NLP Evaluation 3321:On Understanding and Classifying Web Queries 3113: 2089:Dependence of the F-score on class imbalance 3286:Advances in Intelligent Data Analysis XVIII 3013:Provost, Foster; Tom Fawcett (2013-08-01). 1524:probability of false alarm, 3603: 3421: 3277: 3215: 2487: 2473: 2176:The F-score is often used in the field of 3775:Summary statistics for contingency tables 3737: 3708: 3675: 3642: 3586: 3576: 3529: 3406: 3344:X. Li; Y.-Y. Wang; A. Acero (July 2008). 3328: 3303: 3293: 3268: 3258: 3233: 3192: 3182: 3141: 3131: 2930: 2920: 2902: 1012: 525:is chosen such that recall is considered 3612:Journal of Machine Learning Technologies 3446:An Introduction to Information Retrieval 3350:Proceedings of the 31st SIGIR Conference 3318: 3038:Journal of Machine Learning Technologies 2892:. Vol. 1, no. 5. pp. 1–5. 2195:Earlier works focused primarily on the F 2120:score, explicitly depends on the ratio 2079: 2059: 74:as positive. Precision is also known as 36: 27:Statistical measure of a test's accuracy 3760:Statistical natural language processing 3657: 3442: 2970: 2387:Extension to multi-class classification 14: 3752: 3636: 3609: 3443:Manning, Christopher (April 1, 2009). 3400: 3031: 2960:(2nd ed.). Butterworth-Heinemann. 2880: 2327:Matthews correlation coefficient (MCC) 3690: 2468: 2367:Difference from Fowlkes–Mallows index 2329:in binary evaluation classification. 2093:Precision-recall curve, and thus the 1278: 545:times as important as precision, is: 82:in diagnostic binary classification. 3054: 2072:is recall and the vertical axis is F 2064:Normalised harmonic mean plot where 3660:"Classification assessment methods" 3559:Chicco D, Jurman G (January 2020). 3218:"Classification assessment methods" 3114:Chicco D, Jurman G (January 2020). 3096:. World Meteorological Organisation 485:, that uses a positive real factor 24: 1050:The F-measure was derived so that 1005: 1002: 999: 996: 993: 990: 987: 984: 978: 975: 972: 969: 966: 958: 955: 952: 949: 946: 943: 940: 937: 931: 928: 925: 922: 919: 898: 895: 892: 889: 886: 883: 880: 877: 871: 868: 865: 862: 830: 827: 824: 821: 818: 815: 812: 809: 803: 800: 797: 794: 717: 714: 711: 708: 705: 702: 691: 688: 685: 682: 679: 676: 673: 670: 667: 644: 641: 638: 635: 632: 629: 621: 618: 615: 612: 609: 606: 603: 600: 597: 428: 425: 417: 414: 406: 403: 393: 390: 373: 370: 367: 364: 361: 358: 350: 347: 344: 341: 338: 335: 332: 329: 326: 319: 316: 313: 310: 307: 304: 296: 293: 290: 287: 284: 281: 278: 275: 272: 246: 243: 240: 237: 234: 231: 228: 225: 222: 204: 201: 198: 195: 192: 189: 25: 3791: 3765:Evaluation of machine translation 3664:Applied Computing and Informatics 3388:See, e.g., the evaluation of the 3222:Applied Computing and Informatics 2973:"An Introduction to ROC Analysis" 2439:Receiver operating characteristic 3507: 3057:Encyclopedia of machine learning 2235:Matthews correlation coefficient 1948:Matthews correlation coefficient 1283:This is related to the field of 136:Message Understanding Conference 3725: 3684: 3651: 3630: 3552: 3501: 3492: 3478: 3436: 3394: 3382: 3337: 3312: 3209: 3158: 2843:Pearson correlation coefficient 2351:Another source of critique of F 2171: 2047: 2038: 2029: 2020: 2011: 2002: 1289: 30:For the significance test, see 3288:. Springer. pp. 457–469. 3107: 3081: 3048: 3025: 3006: 2964: 2954:Van Rijsbergen, C. J. (1979). 2947: 2896: 2874: 2168:when making such comparisons. 1220:{\displaystyle F_{\beta }=1-E} 855: 836: 787: 768: 695: 650: 587: 568: 78:, and recall is also known as 13: 1: 2867: 2782:Deep Learning Related Metrics 2424:Hypothesis tests for accuracy 2375:of recall and precision, the 2259: 2226:is seen in wide application. 1027:Two commonly used values for 141: 3319:Beitzel., Steven M. (2006). 3305:10.1007/978-3-030-44584-3_36 3253:. Springer. pp. 74–87. 3032:Powers, David M. W. (2011). 2992:10.1016/j.patrec.2005.10.010 2883:"The truth of the F-measure" 2305: 2229:The F-score is also used in 129: 7: 3270:10.1007/978-3-030-50423-6_6 2980:Pattern Recognition Letters 2626:Sensitivity and specificity 2407: 2398: 2371:While the F-measure is the 2076:score, in percentage points 1502:false alarm, overestimation 1330:bookmaker informedness (BM) 449: 10: 3796: 3216:Tharwat A. (August 2018). 3184:10.1186/s13040-021-00244-z 2301:in the true positive rate. 2219:{\displaystyle F_{\beta }} 2113:{\displaystyle F_{\beta }} 1070:{\displaystyle F_{\beta }} 478:{\displaystyle F_{\beta }} 116:{\displaystyle F_{\beta }} 29: 3677:10.1016/j.aci.2018.08.003 3658:Tharwat A (August 2018). 3578:10.1186/s12864-019-6413-7 3522:10.1007/s11222-017-9746-6 3235:10.1016/j.aci.2018.08.003 3133:10.1186/s12864-019-6413-7 3065:10.1007/978-0-387-30164-8 2922:10.1186/s12880-015-0068-x 2903:Aziz Taha, Abdel (2015). 2851: 2825: 2802: 2781: 2758: 2730: 2702: 2639: 2571: 2503: 2393:Multiclass classification 1971: 1793:Negative predictive value 1713:Negative likelihood ratio 1688:Positive likelihood ratio 1626:Positive predictive value 1597: 1370: 1301: 1296: 1292: 1101:'s effectiveness measure 740:Type I and type II errors 158:of precision and recall: 76:positive predictive value 3470:: CS1 maint: location ( 2250:named entity recognition 458:A more general F score, 3422:Derczynski, L. (2016). 3358:10.1145/1390334.1390393 2654:Calinski-Harabasz index 2449:Uncertainty coefficient 2186:document classification 1863:Balanced accuracy (BA) 1460:type II error 1321:Predicted negative (PN) 1316:Predicted positive (PP) 2335:has pointed out that F 2220: 2162: 2134: 2114: 2085: 2077: 1534:type I error 1269: 1221: 1188:Their relationship is 1178: 1091: 1090:{\displaystyle \beta } 1071: 1041: 1040:{\displaystyle \beta } 1017: 728: 539: 538:{\displaystyle \beta } 519: 518:{\displaystyle \beta } 499: 498:{\displaystyle \beta } 479: 439: 117: 42: 3323:(Ph.D. thesis). IIT. 2971:Fawcett, Tom (2006). 2957:Information Retrieval 2817:Intra-list Similarity 2377:Fowlkes–Mallows index 2221: 2178:information retrieval 2163: 2161:{\displaystyle r_{0}} 2135: 2115: 2083: 2063: 1966:FNR × FPR × FOR × FDR 1957:TPR × TNR × PPV × NPV 1932:Fowlkes–Mallows index 1403:miss, underestimation 1285:binary classification 1270: 1222: 1179: 1092: 1072: 1042: 1018: 729: 540: 520: 500: 480: 440: 118: 55:information retrieval 51:binary classification 40: 3719:10.1162/tacl_a_00675 3691:Opitz, Juri (2024). 2203: 2190:query classification 2145: 2124: 2097: 1765:False discovery rate 1339:Prevalence threshold 1231: 1192: 1108: 1081: 1054: 1031: 749: 552: 529: 509: 489: 462: 165: 100: 41:Precision and recall 3780:Clustering criteria 3019:O'Reilly Media, Inc 2909:BMC Medical Imaging 2881:Sasaki, Y. (2007). 1660:False omission rate 1519:False positive rate 1450:False negative rate 1298:Predicted condition 3770:Statistical ratios 2838:Euclidean distance 2804:Recommender system 2684:Similarity measure 2498:evaluation metrics 2216: 2158: 2130: 2110: 2086: 2078: 1570:(SPC), selectivity 1562:True negative rate 1408:True positive rate 1279:Diagnostic testing 1265: 1217: 1174: 1087: 1067: 1037: 1013: 724: 535: 515: 495: 475: 435: 113: 43: 3514:app.dimensions.ai 3074:978-0-387-30164-8 2890:Teach tutor mater 2864: 2863: 2833:Cosine similarity 2669:Hopkins statistic 2451:, aka Proficiency 2254:word segmentation 2133:{\displaystyle r} 1998: 1997: 1514:correct rejection 1263: 1158: 1137: 1010: 983: 936: 876: 808: 722: 433: 378: 260: 16:(Redirected from 3787: 3744: 3743: 3741: 3729: 3723: 3722: 3712: 3688: 3682: 3681: 3679: 3655: 3649: 3648: 3646: 3634: 3628: 3627: 3607: 3601: 3600: 3590: 3580: 3556: 3550: 3549: 3547: 3546: 3533: 3505: 3499: 3496: 3490: 3489: 3482: 3476: 3475: 3469: 3461: 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1065: 1046: 1044: 1043: 1038: 1022: 1020: 1019: 1014: 1011: 1009: 1008: 981: 961: 934: 914: 913: 901: 874: 854: 853: 834: 833: 806: 786: 785: 766: 761: 760: 733: 731: 730: 725: 723: 721: 720: 694: 662: 661: 648: 647: 624: 594: 586: 585: 564: 563: 544: 542: 541: 536: 524: 522: 521: 516: 504: 502: 501: 496: 484: 482: 481: 476: 474: 473: 444: 442: 441: 436: 434: 432: 431: 420: 409: 397: 396: 384: 379: 377: 376: 353: 323: 322: 299: 269: 261: 259: 258: 257: 249: 216: 215: 207: 182: 177: 176: 122: 120: 119: 114: 112: 111: 21: 3795: 3794: 3790: 3789: 3788: 3786: 3785: 3784: 3750: 3749: 3748: 3747: 3730: 3726: 3689: 3685: 3656: 3652: 3635: 3631: 3608: 3604: 3557: 3553: 3544: 3542: 3506: 3502: 3497: 3493: 3484: 3483: 3479: 3463: 3462: 3455: 3453: 3449: 3441: 3437: 3420: 3416: 3399: 3395: 3387: 3383: 3368: 3352:. p. 339. 3342: 3338: 3317: 3313: 3282: 3278: 3247: 3243: 3214: 3210: 3163: 3159: 3126:(1): 6-1–6-13. 3112: 3108: 3099: 3097: 3086: 3082: 3075: 3053: 3049: 3030: 3026: 3011: 3007: 2975: 2969: 2965: 2952: 2948: 2901: 2897: 2885: 2879: 2875: 2870: 2865: 2860: 2847: 2821: 2798: 2789:Inception score 2777: 2754: 2732:Computer Vision 2726: 2698: 2635: 2567: 2499: 2493: 2455:Word error rate 2410: 2401: 2389: 2369: 2362: 2354: 2338: 2324: 2316: 2308: 2296: 2286: 2279: 2267: 2262: 2210: 2206: 2204: 2201: 2200: 2198: 2174: 2152: 2148: 2146: 2143: 2142: 2125: 2122: 2121: 2104: 2100: 2098: 2095: 2094: 2091: 2075: 2058: 2057: 2052: 2048: 2043: 2039: 2034: 2030: 2025: 2021: 2016: 2012: 2007: 2003: 1988: 1985: 1982: 1981: 1979: 1977: 1976: 1965: 1963: 1961: 1956: 1954: 1952: 1951: 1940: 1938: 1936: 1935: 1922: 1919: 1916: 1915: 1913: 1911: 1904: 1901: 1898: 1897: 1895: 1893: 1892: 1889: 1876: 1873: 1870: 1869: 1867: 1865: 1864: 1852: 1849: 1846: 1845: 1843: 1841: 1840: 1835: 1829:= PPV + NPV − 1 1828: 1827: 1824: 1815: 1808: 1805: 1802: 1801: 1799: 1797: 1796: 1787: 1780: 1777: 1774: 1773: 1771: 1769: 1768: 1755: 1752: 1749: 1748: 1746: 1744: 1743: 1728: 1725: 1722: 1721: 1719: 1717: 1716: 1703: 1700: 1697: 1696: 1694: 1692: 1691: 1682: 1675: 1672: 1669: 1668: 1666: 1664: 1663: 1654: 1647: 1644: 1641: 1640: 1638: 1636: 1635: 1630: 1624: 1615: 1612: 1609: 1608: 1606: 1604: 1603: 1591: 1584: 1581: 1578: 1577: 1575: 1573: 1572: 1566: 1565: 1556: 1549: 1546: 1543: 1542: 1540: 1538: 1537: 1532: 1531: 1526: 1523: 1522: 1513: 1512: 1501: 1500: 1482: 1475: 1472: 1469: 1468: 1466: 1464: 1463: 1458: 1457: 1454: 1453: 1444: 1437: 1434: 1431: 1430: 1428: 1426: 1425: 1419: 1402: 1401: 1390: 1389: 1375: 1360: 1357: 1351: 1349: 1348: 1347: 1345: 1343: 1342: 1334:= TPR + TNR − 1 1333: 1332: 1329: 1310: 1309: 1281: 1256: 1252: 1245: 1240: 1232: 1229: 1228: 1199: 1195: 1193: 1190: 1189: 1165: 1144: 1142: 1129: 1128: 1124: 1123: 1109: 1106: 1105: 1082: 1079: 1078: 1061: 1057: 1055: 1052: 1051: 1032: 1029: 1028: 965: 918: 909: 905: 861: 849: 845: 835: 793: 781: 777: 767: 765: 756: 752: 750: 747: 746: 701: 666: 657: 653: 649: 628: 596: 595: 593: 581: 577: 559: 555: 553: 550: 549: 530: 527: 526: 510: 507: 506: 490: 487: 486: 469: 465: 463: 460: 459: 456: 453: 424: 413: 402: 398: 389: 385: 383: 357: 325: 324: 303: 271: 270: 268: 250: 221: 220: 208: 188: 187: 186: 181: 172: 168: 166: 163: 162: 151: 144: 138:(MUC-4, 1992). 132: 107: 103: 101: 98: 97: 90: 35: 28: 23: 22: 15: 12: 11: 5: 3793: 3783: 3782: 3777: 3772: 3767: 3762: 3746: 3745: 3724: 3683: 3650: 3629: 3602: 3551: 3500: 3491: 3477: 3435: 3414: 3393: 3381: 3366: 3336: 3330:10.1.1.127.634 3311: 3276: 3241: 3208: 3171:BioData Mining 3157: 3106: 3080: 3073: 3047: 3024: 3005: 2986:(8): 861–874. 2963: 2946: 2895: 2872: 2871: 2869: 2866: 2862: 2861: 2859: 2858: 2852: 2849: 2848: 2846: 2845: 2840: 2835: 2829: 2827: 2823: 2822: 2820: 2819: 2814: 2808: 2806: 2800: 2799: 2797: 2796: 2791: 2785: 2783: 2779: 2778: 2776: 2775: 2770: 2764: 2762: 2756: 2755: 2753: 2752: 2747: 2742: 2736: 2734: 2728: 2727: 2725: 2724: 2719: 2714: 2708: 2706: 2700: 2699: 2697: 2696: 2691: 2686: 2681: 2676: 2671: 2666: 2661: 2659:Davies-Bouldin 2656: 2651: 2645: 2643: 2637: 2636: 2634: 2633: 2628: 2623: 2618: 2613: 2608: 2603: 2598: 2593: 2588: 2583: 2577: 2575: 2573:Classification 2569: 2568: 2566: 2565: 2560: 2555: 2550: 2545: 2540: 2535: 2530: 2525: 2520: 2515: 2509: 2507: 2501: 2500: 2492: 2491: 2484: 2477: 2469: 2463: 2462: 2457: 2452: 2446: 2444:ROUGE (metric) 2441: 2436: 2431: 2426: 2421: 2416: 2409: 2406: 2400: 2397: 2388: 2385: 2381:geometric mean 2368: 2365: 2360: 2352: 2336: 2322: 2314: 2307: 2304: 2303: 2302: 2294: 2291: 2288: 2284: 2281: 2277: 2265: 2261: 2258: 2213: 2209: 2196: 2180:for measuring 2173: 2170: 2155: 2151: 2129: 2107: 2103: 2090: 2087: 2073: 2068:is precision, 2056: 2055: 2046: 2037: 2028: 2019: 2010: 2000: 1999: 1996: 1995: 1970: 1945: 1929: 1923:2 TP + FP + FN 1887: 1883: 1860: 1859: 1831: 1818: 1790: 1762: 1736: 1735: 1710: 1685: 1657: 1622: 1598: 1595: 1594: 1559: 1516: 1504: 1496:False positive 1492: 1486: 1485: 1455:miss rate 1447: 1405: 1397:False negative 1393: 1381: 1376: 1371: 1368: 1367: 1336: 1323: 1318: 1313: 1303: 1302: 1300: 1295: 1293: 1280: 1277: 1259: 1255: 1251: 1248: 1244: 1239: 1236: 1216: 1213: 1210: 1207: 1202: 1198: 1186: 1185: 1171: 1168: 1163: 1157: 1153: 1150: 1147: 1141: 1136: 1133: 1127: 1122: 1119: 1116: 1113: 1099:Van Rijsbergen 1086: 1064: 1060: 1036: 1025: 1024: 1007: 1004: 1001: 998: 995: 992: 989: 986: 980: 977: 974: 971: 968: 964: 960: 957: 954: 951: 948: 945: 942: 939: 933: 930: 927: 924: 921: 917: 912: 908: 904: 900: 897: 894: 891: 888: 885: 882: 879: 873: 870: 867: 864: 860: 857: 852: 848: 844: 841: 838: 832: 829: 826: 823: 820: 817: 814: 811: 805: 802: 799: 796: 792: 789: 784: 780: 776: 773: 770: 764: 759: 755: 742:this becomes: 736: 735: 719: 716: 713: 710: 707: 704: 700: 697: 693: 690: 687: 684: 681: 678: 675: 672: 669: 665: 660: 656: 652: 646: 643: 640: 637: 634: 631: 627: 623: 620: 617: 614: 611: 608: 605: 602: 599: 592: 589: 584: 580: 576: 573: 570: 567: 562: 558: 534: 514: 494: 472: 468: 455: 451: 448: 447: 446: 430: 427: 423: 419: 416: 412: 408: 405: 401: 395: 392: 388: 382: 375: 372: 369: 366: 363: 360: 356: 352: 349: 346: 343: 340: 337: 334: 331: 328: 321: 318: 315: 312: 309: 306: 302: 298: 295: 292: 289: 286: 283: 280: 277: 274: 267: 264: 256: 253: 248: 245: 242: 239: 236: 233: 230: 227: 224: 219: 214: 211: 206: 203: 200: 197: 194: 191: 185: 180: 175: 171: 149: 143: 140: 131: 128: 110: 106: 88: 26: 9: 6: 4: 3: 2: 3792: 3781: 3778: 3776: 3773: 3771: 3768: 3766: 3763: 3761: 3758: 3757: 3755: 3740: 3735: 3728: 3720: 3716: 3711: 3706: 3702: 3698: 3694: 3687: 3678: 3673: 3669: 3665: 3661: 3654: 3645: 3640: 3633: 3625: 3621: 3617: 3613: 3606: 3598: 3594: 3589: 3584: 3579: 3574: 3570: 3566: 3562: 3555: 3541: 3537: 3532: 3531:10044/1/46235 3527: 3523: 3519: 3515: 3511: 3508:Hand, David. 3504: 3495: 3487: 3481: 3473: 3467: 3448: 3447: 3439: 3431: 3427: 3426: 3418: 3409: 3404: 3397: 3390: 3385: 3377: 3373: 3369: 3367:9781605581644 3363: 3359: 3355: 3351: 3347: 3340: 3331: 3326: 3322: 3315: 3306: 3301: 3296: 3291: 3287: 3280: 3271: 3266: 3261: 3256: 3252: 3245: 3236: 3231: 3227: 3223: 3219: 3212: 3204: 3200: 3195: 3190: 3185: 3180: 3176: 3172: 3168: 3161: 3153: 3149: 3144: 3139: 3134: 3129: 3125: 3121: 3117: 3110: 3095: 3091: 3084: 3076: 3070: 3066: 3062: 3058: 3051: 3043: 3039: 3035: 3028: 3020: 3016: 3009: 3001: 2997: 2993: 2989: 2985: 2981: 2974: 2967: 2959: 2958: 2950: 2942: 2938: 2933: 2928: 2923: 2918: 2914: 2910: 2906: 2899: 2891: 2884: 2877: 2873: 2857: 2854: 2853: 2850: 2844: 2841: 2839: 2836: 2834: 2831: 2830: 2828: 2824: 2818: 2815: 2813: 2810: 2809: 2807: 2805: 2801: 2795: 2792: 2790: 2787: 2786: 2784: 2780: 2774: 2771: 2769: 2766: 2765: 2763: 2761: 2757: 2751: 2748: 2746: 2743: 2741: 2738: 2737: 2735: 2733: 2729: 2723: 2720: 2718: 2715: 2713: 2710: 2709: 2707: 2705: 2701: 2695: 2692: 2690: 2687: 2685: 2682: 2680: 2677: 2675: 2674:Jaccard index 2672: 2670: 2667: 2665: 2662: 2660: 2657: 2655: 2652: 2650: 2647: 2646: 2644: 2642: 2638: 2632: 2629: 2627: 2624: 2622: 2619: 2617: 2614: 2612: 2609: 2607: 2604: 2602: 2599: 2597: 2594: 2592: 2589: 2587: 2584: 2582: 2579: 2578: 2576: 2574: 2570: 2564: 2561: 2559: 2556: 2554: 2551: 2549: 2546: 2544: 2541: 2539: 2536: 2534: 2531: 2529: 2526: 2524: 2521: 2519: 2516: 2514: 2511: 2510: 2508: 2506: 2502: 2497: 2490: 2485: 2483: 2478: 2476: 2471: 2470: 2467: 2461: 2458: 2456: 2453: 2450: 2447: 2445: 2442: 2440: 2437: 2435: 2434:NIST (metric) 2432: 2430: 2427: 2425: 2422: 2420: 2417: 2415: 2412: 2411: 2405: 2396: 2394: 2384: 2382: 2378: 2374: 2373:harmonic mean 2364: 2358: 2349: 2347: 2343: 2334: 2330: 2328: 2319: 2312: 2300: 2292: 2289: 2282: 2275: 2274: 2273: 2271: 2268:score is the 2257: 2255: 2251: 2246: 2244: 2243:Cohen's kappa 2240: 2236: 2232: 2227: 2211: 2207: 2193: 2191: 2187: 2183: 2179: 2169: 2153: 2149: 2127: 2105: 2101: 2082: 2071: 2067: 2062: 2050: 2041: 2032: 2023: 2014: 2005: 2001: 1975: 1974:Jaccard index 1949: 1946: 1933: 1930: 1891: 1884: 1862: 1861: 1838: 1832: 1822: 1819: 1794: 1791: 1766: 1763: 1741: 1738: 1737: 1714: 1711: 1689: 1686: 1661: 1658: 1633: 1627: 1623: 1602: 1599: 1596: 1569: 1563: 1560: 1535: 1529: 1520: 1517: 1510: 1509: 1508:True negative 1505: 1498: 1497: 1493: 1491: 1488: 1487: 1461: 1451: 1448: 1423: 1417: 1413: 1409: 1406: 1399: 1398: 1394: 1387: 1386: 1385:True positive 1382: 1380: 1377: 1374: 1369: 1340: 1337: 1327: 1324: 1322: 1319: 1317: 1314: 1308: 1305: 1304: 1299: 1294: 1291: 1288: 1286: 1276: 1257: 1253: 1249: 1246: 1242: 1237: 1234: 1214: 1211: 1208: 1205: 1200: 1196: 1169: 1166: 1161: 1155: 1151: 1148: 1145: 1139: 1134: 1131: 1125: 1120: 1117: 1114: 1111: 1104: 1103: 1102: 1100: 1084: 1062: 1058: 1048: 1034: 962: 915: 910: 906: 902: 858: 850: 846: 842: 839: 790: 782: 778: 774: 771: 762: 757: 753: 745: 744: 743: 741: 698: 663: 658: 654: 625: 590: 582: 578: 574: 571: 565: 560: 556: 548: 547: 546: 532: 512: 492: 470: 466: 421: 410: 399: 386: 380: 354: 300: 265: 262: 254: 251: 217: 212: 209: 183: 178: 173: 169: 161: 160: 159: 157: 156:harmonic mean 153: 139: 137: 127: 124: 108: 104: 95: 94:harmonic mean 92:score is the 91: 83: 81: 77: 72: 68: 64: 60: 57:systems, the 56: 52: 48: 39: 33: 19: 3727: 3700: 3696: 3686: 3667: 3663: 3653: 3632: 3618:(1): 37–63. 3615: 3611: 3605: 3568: 3565:BMC Genomics 3564: 3554: 3543:. Retrieved 3513: 3503: 3494: 3480: 3454:. Retrieved 3445: 3438: 3429: 3424: 3417: 3396: 3384: 3349: 3345: 3339: 3320: 3314: 3285: 3279: 3250: 3244: 3225: 3221: 3211: 3174: 3170: 3160: 3123: 3120:BMC Genomics 3119: 3109: 3098:. Retrieved 3093: 3083: 3059:. Springer. 3056: 3050: 3041: 3037: 3027: 3018: 3008: 2983: 2979: 2966: 2956: 2949: 2915:(29): 1–28. 2912: 2908: 2898: 2889: 2876: 2580: 2402: 2390: 2370: 2350: 2342:Informedness 2331: 2320: 2309: 2263: 2247: 2239:Informedness 2228: 2194: 2175: 2172:Applications 2092: 2069: 2065: 2049: 2040: 2031: 2022: 2013: 2004: 1989:TP + FN + FP 1506: 1494: 1490:Negative (N) 1489: 1395: 1383: 1379:Positive (P) 1378: 1372: 1326:Informedness 1320: 1315: 1297: 1282: 1187: 1049: 1026: 738:In terms of 737: 457: 147: 145: 133: 125: 86: 84: 62: 58: 49:analysis of 44: 3703:: 820–836. 3670:: 168–192. 3228:: 168–192. 3044:(1): 37–63. 1899:2 PPV × TPR 1834:Diagnostic 1568:specificity 1416:sensitivity 80:sensitivity 47:statistical 3754:Categories 3739:1911.03347 3710:2404.16958 3644:2210.11997 3624:2328/27165 3545:2018-12-08 3408:1503.06410 3295:1909.02827 3260:2001.05571 3177:(13): 13. 3100:2019-07-17 2868:References 2826:Similarity 2768:Perplexity 2679:Rand index 2664:Dunn index 2649:Silhouette 2641:Clustering 2505:Regression 2346:Markedness 2311:David Hand 2260:Properties 1836:odds ratio 1821:Markedness 1601:Prevalence 142:Definition 3466:cite book 3325:CiteSeerX 2596:Precision 2548:RMSE/RMSD 2379:is their 2357:P4 metric 2340:measures 2306:Criticism 2297:score is 2212:β 2106:β 1941:PPV × TPR 1905:PPV + TPR 1871:TPR + TNR 1816:= 1 − FOR 1788:= 1 − PPV 1683:= 1 − NPV 1655:= 1 − FDR 1632:precision 1592:= 1 − FPR 1557:= 1 − TNR 1483:= 1 − TPR 1445:= 1 − FNR 1361:TPR - FPR 1352:TPR × FPR 1254:β 1235:α 1212:− 1201:β 1167:− 1152:α 1149:− 1132:α 1121:− 1085:β 1063:β 1035:β 916:⋅ 907:β 859:⋅ 847:β 791:⋅ 779:β 758:β 664:⋅ 655:β 626:⋅ 591:⋅ 579:β 561:β 533:β 513:β 493:β 471:β 301:⋅ 252:− 210:− 154:) is the 130:Etymology 109:β 67:precision 63:F-measure 3597:31898477 3571:(6): 6. 3540:38782128 3203:33541410 3152:31898477 2941:26263899 2812:Coverage 2591:Accuracy 2408:See also 2399:Macro F1 1740:Accuracy 1527:fall-out 505:, where 18:F1 score 3588:6941312 3456:18 July 3376:8482989 3194:7863449 3143:6941312 3000:2027090 2932:4533825 2704:Ranking 2694:SimHash 2581:F-score 2299:concave 1992:⁠ 1980:⁠ 1964:√ 1955:√ 1939:√ 1926:⁠ 1914:⁠ 1908:⁠ 1896:⁠ 1880:⁠ 1868:⁠ 1856:⁠ 1844:⁠ 1812:⁠ 1800:⁠ 1784:⁠ 1772:⁠ 1759:⁠ 1750:TP + TN 1747:⁠ 1732:⁠ 1720:⁠ 1707:⁠ 1695:⁠ 1679:⁠ 1667:⁠ 1651:⁠ 1639:⁠ 1619:⁠ 1607:⁠ 1588:⁠ 1576:⁠ 1564:(TNR), 1553:⁠ 1541:⁠ 1521:(FPR), 1479:⁠ 1467:⁠ 1452:(FNR), 1441:⁠ 1429:⁠ 1418:(SEN), 1410:(TPR), 1364:⁠ 1350:√ 1346:⁠ 1311:= P + N 59:F-score 3595:  3585:  3538:  3374:  3364:  3327:  3201:  3191:  3150:  3140:  3071:  2998:  2939:  2929:  2601:Recall 2429:METEOR 2188:, and 2182:search 1950:(MCC) 1839:(DOR) 1823:(MK), 1795:(NPV) 1767:(FDR) 1742:(ACC) 1715:(LR−) 1690:(LR+) 1662:(FOR) 1628:(PPV), 1511:(TN), 1499:(FP), 1412:recall 1400:(FN), 1388:(TP), 1227:where 982:  935:  875:  807:  71:recall 32:F-test 3734:arXiv 3705:arXiv 3639:arXiv 3536:S2CID 3450:(PDF) 3403:arXiv 3372:S2CID 3290:arXiv 3255:arXiv 2996:S2CID 2976:(PDF) 2886:(PDF) 2606:Kappa 2523:sMAPE 2460:LEPOR 2283:The F 2276:The F 2264:The F 1934:(FM) 1890:score 1756:P + N 1616:P + N 1422:power 1355:- FPR 1341:(PT) 454:score 152:score 3593:PMID 3472:link 3458:2022 3362:ISBN 3199:PMID 3148:PMID 3069:ISBN 2937:PMID 2773:BLEU 2745:SSIM 2740:PSNR 2717:NDCG 2538:MSPE 2533:MASE 2528:MAPE 2414:BLEU 2344:and 2252:and 2241:or 1917:2 TP 85:The 69:and 53:and 3715:doi 3672:doi 3620:hdl 3583:PMC 3573:doi 3526:hdl 3518:doi 3354:doi 3300:doi 3265:doi 3230:doi 3189:PMC 3179:doi 3138:PMC 3128:doi 3061:doi 2988:doi 2927:PMC 2917:doi 2794:FID 2760:NLP 2750:IoU 2712:MRR 2689:SMC 2621:ROC 2616:AUC 2611:MCC 2563:MAD 2558:MDA 2543:RMS 2518:MAE 2513:MSE 1853:LR− 1847:LR+ 1729:TNR 1723:FNR 1704:FPR 1698:TPR 1391:hit 61:or 45:In 3756:: 3713:. 3701:12 3699:. 3695:. 3668:17 3666:. 3662:. 3614:. 3591:. 3581:. 3569:21 3567:. 3563:. 3534:. 3524:. 3516:. 3512:. 3468:}} 3464:{{ 3428:. 3370:. 3360:. 3348:. 3298:. 3263:. 3226:17 3224:. 3220:. 3197:. 3187:. 3175:14 3173:. 3169:. 3146:. 3136:. 3124:21 3122:. 3118:. 3092:. 3067:. 3040:. 3036:. 3017:. 2994:. 2984:27 2982:. 2978:. 2935:. 2925:. 2913:15 2911:. 2907:. 2888:. 2722:AP 2586:P4 2383:. 2363:. 2256:. 2237:, 2184:, 1983:TP 1978:= 1962:- 1953:= 1937:= 1912:= 1894:= 1866:= 1842:= 1809:PN 1803:TN 1798:= 1781:PP 1775:FP 1770:= 1745:= 1718:= 1693:= 1676:PN 1670:FN 1665:= 1648:PP 1642:TP 1637:= 1605:= 1579:TN 1574:= 1544:FP 1539:= 1470:FN 1465:= 1432:TP 1427:= 1414:, 1344:= 1328:, 1275:. 3742:. 3736:: 3721:. 3717:: 3707:: 3680:. 3674:: 3647:. 3641:: 3626:. 3622:: 3616:2 3599:. 3575:: 3548:. 3528:: 3520:: 3488:. 3474:) 3460:. 3432:. 3411:. 3405:: 3391:. 3378:. 3356:: 3333:. 3308:. 3302:: 3292:: 3273:. 3267:: 3257:: 3238:. 3232:: 3205:. 3181:: 3154:. 3130:: 3103:. 3077:. 3063:: 3042:2 3021:. 3002:. 2990:: 2943:. 2919:: 2553:R 2488:e 2481:t 2474:v 2361:1 2353:1 2337:1 2323:1 2315:1 2295:1 2293:F 2285:1 2278:1 2266:1 2208:F 2197:1 2154:0 2150:r 2128:r 2102:F 2074:1 2070:y 2066:x 1986:/ 1920:/ 1902:/ 1888:1 1886:F 1877:2 1874:/ 1850:/ 1806:/ 1778:/ 1753:/ 1726:/ 1701:/ 1673:/ 1645:/ 1613:/ 1610:P 1585:N 1582:/ 1550:N 1547:/ 1476:P 1473:/ 1438:P 1435:/ 1358:/ 1258:2 1250:+ 1247:1 1243:1 1238:= 1215:E 1209:1 1206:= 1197:F 1184:. 1170:1 1162:) 1156:r 1146:1 1140:+ 1135:p 1126:( 1118:1 1115:= 1112:E 1059:F 1023:. 1006:e 1003:v 1000:i 997:t 994:i 991:s 988:o 985:p 979:e 976:s 973:l 970:a 967:f 963:+ 959:e 956:v 953:i 950:t 947:a 944:g 941:e 938:n 932:e 929:s 926:l 923:a 920:f 911:2 903:+ 899:e 896:v 893:i 890:t 887:i 884:s 881:o 878:p 872:e 869:u 866:r 863:t 856:) 851:2 843:+ 840:1 837:( 831:e 828:v 825:i 822:t 819:i 816:s 813:o 810:p 804:e 801:u 798:r 795:t 788:) 783:2 775:+ 772:1 769:( 763:= 754:F 734:. 718:l 715:l 712:a 709:c 706:e 703:r 699:+ 696:) 692:n 689:o 686:i 683:s 680:i 677:c 674:e 671:r 668:p 659:2 651:( 645:l 642:l 639:a 636:c 633:e 630:r 622:n 619:o 616:i 613:s 610:i 607:c 604:e 601:r 598:p 588:) 583:2 575:+ 572:1 569:( 566:= 557:F 467:F 452:β 450:F 445:. 429:n 426:f 422:+ 418:p 415:f 411:+ 407:p 404:t 400:2 394:p 391:t 387:2 381:= 374:l 371:l 368:a 365:c 362:e 359:r 355:+ 351:n 348:o 345:i 342:s 339:i 336:c 333:e 330:r 327:p 320:l 317:l 314:a 311:c 308:e 305:r 297:n 294:o 291:i 288:s 285:i 282:c 279:e 276:r 273:p 266:2 263:= 255:1 247:n 244:o 241:i 238:s 235:i 232:c 229:e 226:r 223:p 218:+ 213:1 205:l 202:l 199:a 196:c 193:e 190:r 184:2 179:= 174:1 170:F 150:1 148:F 105:F 89:1 87:F 34:. 20:)

Index

F1 score
F-test

statistical
binary classification
information retrieval
precision
recall
positive predictive value
sensitivity
harmonic mean
Message Understanding Conference
harmonic mean
Type I and type II errors
Van Rijsbergen
binary classification
Total population
Informedness
Prevalence threshold
True positive
False negative
True positive rate
recall
sensitivity
power
False negative rate
type II error
False positive
True negative
False positive rate

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