2021
DOI: 10.1016/j.eswa.2021.114750
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A hybrid method with dynamic weighted entropy for handling the problem of class imbalance with overlap in credit card fraud detection

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Cited by 107 publications
(38 citation statements)
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“…Thus, (50) implies that ( 46) and ( 47) hold with probability P n at least 1 − 2M/n 3 if n > n 1 , which completes the proof.…”
Section: Proofsmentioning
confidence: 52%
See 2 more Smart Citations
“…Thus, (50) implies that ( 46) and ( 47) hold with probability P n at least 1 − 2M/n 3 if n > n 1 , which completes the proof.…”
Section: Proofsmentioning
confidence: 52%
“…Obviously, we have M i=1 η i (x)/π i ≥ M i=1 η i (x)/π = 1/π. This together with ( 60) and ( 61) yields that η w m − η u m ∞ ≤ (4(1 + M )/π) log n/n holds for 1 ≤ m ≤ M , which together with (50) implies that for all n > n 1 , (34) holds with probability P n at least 1 − 2M/n 3 . Therefore, for all n ≥ N 3 := max{n 1 , 2M }, there holds (34) with probability P n at least 1 − 1/n 2 .…”
Section: Let Us First Consider the Set Bmentioning
confidence: 76%
See 1 more Smart Citation
“…The authors of a previous study proposed a novel hybrid approach [14] utilizing a divide-and-conquer strategy for solving the issue of imbalanced classes. They trained a model of anomaly detection on the original dataset, and then they utilized a non-linear classifier for a complex subset.…”
Section: Related Workmentioning
confidence: 99%
“…In fraud detection, the number of fraud cases is normally tiny, as compared with those of normal transactions. Fraudsters always attempt to create a fraudulent transaction as close as possible to a real transaction, in order to avoid being detected (Li et al, 2021 ). This data imbalanced issue affects the performance of machine learning methods.…”
Section: Empirical Evaluationmentioning
confidence: 99%