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Related papers: Double-Crossing Benford's Law

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We prove connections between Zeckendorf decompositions and Benford's law. Recall that if we define the Fibonacci numbers by $F_1 = 1, F_2 = 2$ and $F_{n+1} = F_n + F_{n-1}$, every positive integer can be written uniquely as a sum of…

Thanks to the increasing availability in computing power, high-dimensional engineering problems seem to be at reach. But the curse of dimensionality will always prevent us to try out extensively all the hypotheses. There is a vast…

Methodology · Statistics 2021-03-24 Pamphile T. Roy

Credit card fraud has emerged as major problem in the electronic payment sector. In this survey, we study data-driven credit card fraud detection particularities and several machine learning methods to address each of its intricate…

Machine Learning · Computer Science 2020-10-14 Yvan Lucas , Johannes Jurgovsky

We determine the leading digit laws for the matrix components of a linear Lie group $G$. These laws generalize the observations that the normalized Haar measure of the Lie group $\mathbb{R}^+$ is $dx/x$ and that the scale invariance of…

Number Theory · Mathematics 2015-07-08 Corey Manack , Steven J. Miller

Deception detection has attracted increasing attention due to its importance in real-world scenarios. Its main goal is to detect deceptive behaviors from multimodal clues such as gestures, facial expressions, prosody, etc. However, these…

Computation and Language · Computer Science 2024-08-14 Kang Chen , Zheng Lian , Haiyang Sun , Rui Liu , Jiangyan Yi , Bin Liu , Jianhua Tao

It is known that if X is uniformly distributed modulo 1 and Y is an arbitrary random variable independent of X then Y+X is also uniformly distributed modulo 1. We prove a converse for any continuous random variable Y (or a reasonable…

Probability · Mathematics 2013-07-16 Michał Ryszard Wójcik

The Automobile Insurance Fraud is one of the main challenges for insurance companies. This form of fraud is performed either opportunistic or professional occurring through group cooperation that leads to greater financial losses, while…

Social and Information Networks · Computer Science 2018-06-20 Arezo Bodaghi , Babak Teimourpour

Graph generative models become increasingly effective for data distribution approximation and data augmentation. While they have aroused public concerns about their malicious misuses or misinformation broadcasts, just as what Deepfake…

Cryptography and Security · Computer Science 2023-06-14 Yihan Ma , Zhikun Zhang , Ning Yu , Xinlei He , Michael Backes , Yun Shen , Yang Zhang

We develop two complementary generative mechanisms that explain when and why Benford's first-digit law arises. First, a probabilistic Turing machine (PTM) ensemble induces a geometric law for codelength. Maximizing its entropy under a…

Information Theory · Computer Science 2025-11-25 Alexander Kolpakov , Aidan Rocke

Conformity with Benford's Law is widely used to detect irregularities in numerical datasets, particularly in accounting, finance, and economics. However, the statistical tools commonly used for this purpose (such as Chi-squared, MAD, or KS)…

Econometrics · Economics 2025-06-17 Manuel Cano-Rodriguez

Fraud detection is to identify, monitor, and prevent potentially fraudulent activities from complex data. The recent development and success in AI, especially machine learning, provides a new data-driven way to deal with fraud. From a…

Machine Learning · Statistics 2023-05-19 Biao Xu , Yao Wang , Xiuwu Liao , Kaidong Wang

The article proposes an expert system for detection, and subsequent investigation, of groups of collaborating automobile insurance fraudsters. The system is described and examined in great detail, several technical difficulties in detecting…

Artificial Intelligence · Computer Science 2011-04-21 Lovro Šubelj , Štefan Furlan , Marko Bajec

Combining evidence from different sources can be achieved with Bayesian or Dempster-Shafer methods. The first requires an estimate of the priors and likelihoods while the second only needs an estimate of the posterior probabilities and…

Machine Learning · Computer Science 2021-04-16 Fabrice Daniel

With the proliferation of various online and mobile payment systems, credit card fraud has emerged as a significant threat to financial security. This study focuses on innovative applications of the latest Transformer models for more robust…

Machine Learning · Computer Science 2024-11-13 Chang Yu , Yongshun Xu , Jin Cao , Ye Zhang , Yinxin Jin , Mengran Zhu

Machine learning and data mining techniques have been used extensively in order to detect credit card frauds. However purchase behaviour and fraudster strategies may change over time. This phenomenon is named dataset shift or concept drift…

Frauds severely hurt many kinds of Internet businesses. Group-based fraud detection is a popular methodology to catch fraudsters who unavoidably exhibit synchronized behaviors. We combine both graph-based features (e.g. cluster density) and…

Cryptography and Security · Computer Science 2018-06-26 Yikun Ban , Xin Liu , Tianyi Zhang , Ling Huang , Yitao Duan , Xue Liu , Wei Xu

Suppose you look at today's stock prices and bet on the value of the first digit. One could guess that a fair bet should correspond to the frequency of $1/9 = 11.11%$ for each digit from 1 to 9. This is by no means the case, and one can…

Statistical Mechanics · Physics 2008-12-02 L. Pietronero , E. Tosatti , V. Tosatti , A. Vespignani

We introduce a new clustering method for the classification of functional data sets by their probabilistic law, that is, a procedure that aims to assign data sets to the same cluster if and only if the data were generated with the same…

Methodology · Statistics 2023-12-29 Antonio Galves , Fernando Najman , Marcela Svarc , Claudia D. Vargas

The extensive use of the internet is continuously drifting businesses to incorporate their services in the online environment. One of the first spectrums to embrace this evolution was the banking sector. In fact, the first known online…

Machine Learning · Computer Science 2020-09-15 Arianit Mehana , Krenare Pireva Nuci

This systematic literature review examines the role of machine learning in fraud detection within digital banking, synthesizing evidence from 118 peer-reviewed studies and institutional reports. Following the PRISMA guidelines, the review…

Machine Learning · Computer Science 2025-10-08 Md Zahin Hossain George , Md Khorshed Alam , Md Tarek Hasan