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Benford's Law describes the finding that the distribution of leading (or leftmost) digits of innumerable datasets follows a well-defined logarithmic trend, rather than an intuitive uniformity. In practice this means that the most common…

Data Analysis, Statistics and Probability · Physics 2013-11-20 Aaron D. Slepkov , Kevin B. Ironside , David DiBattista

Benford's Law predicts that the first significant digit on the leftmost side of numbers in real-life data is proportioned between all possible 1 to 9 digits approximately as in LOG(1 + 1/digit), so that low digits occur much more frequently…

Statistics Theory · Mathematics 2019-01-04 Alex Ely Kossovsky

Many mathematical, man-made and natural systems exhibit a leading-digit bias, where a first digit (base 10) of 1 occurs not 11\% of the time, as one would expect if all digits were equally likely, but rather 30\%. This phenomenon is known…

Large language models (LLMs) frequently make errors when handling even simple numerical problems, such as comparing two small numbers. A natural hypothesis is that these errors stem from how LLMs represent numbers, and specifically, whether…

Machine Learning · Computer Science 2025-02-04 Amit Arnold Levy , Mor Geva

Large language models are successful in answering factoid questions but are also prone to hallucination. We investigate the phenomenon of LLMs possessing correct answer knowledge yet still hallucinating from the perspective of inference…

Computation and Language · Computer Science 2024-10-29 Che Jiang , Biqing Qi , Xiangyu Hong , Dayuan Fu , Yang Cheng , Fandong Meng , Mo Yu , Bowen Zhou , Jie Zhou

Hallucination is a persistent challenge in large language models (LLMs), where even with rigorous quality control, models often generate distorted facts. This paradox, in which error generation continues despite high-quality training data,…

Computation and Language · Computer Science 2025-02-25 Yuji Zhang , Sha Li , Cheng Qian , Jiateng Liu , Pengfei Yu , Chi Han , Yi R. Fung , Kathleen McKeown , Chengxiang Zhai , Manling Li , Heng Ji

The rapid growth of Large Language Models (LLMs) intensifies the need for effective compression, with weight quantization being the most widely adopted technique. Standard uniform quantizers assume that parameters are evenly distributed, an…

Machine Learning · Computer Science 2026-02-03 Arthur Negrão , Pedro Silva , Vander L. S. Freitas , Gladston Moreira , Eduardo Luz

Large Language Models (LLMs) are claimed to be capable of Natural Language Inference (NLI), necessary for applied tasks like question answering and summarization. We present a series of behavioral studies on several LLM families (LLaMA,…

Computation and Language · Computer Science 2023-10-24 Nick McKenna , Tianyi Li , Liang Cheng , Mohammad Javad Hosseini , Mark Johnson , Mark Steedman

Nature and our world have a bias! Roughly $30\%$ of the time the number $1$ occurs as the leading digit in many datasets base $10$. This phenomenon is known as Benford's law and it arrises in diverse fields such as the stock market,…

Probability · Mathematics 2023-08-16 Irfan Durmić , Steven J. Miller

In the age of misinformation, hallucination - the tendency of Large Language Models (LLMs) to generate non-factual or unfaithful responses - represents the main risk for their global utility. Despite LLMs becoming increasingly multilingual,…

Computation and Language · Computer Science 2026-02-03 Saad Obaid ul Islam , Anne Lauscher , Goran Glavaš

Large language models (LLMs) frequently generate hallucinations-content that deviates from factual accuracy or provided context-posing challenges for diagnosis due to the complex interplay of underlying causes. This paper introduces a…

Computation and Language · Computer Science 2025-04-18 Yiyou Sun , Yu Gai , Lijie Chen , Abhilasha Ravichander , Yejin Choi , Dawn Song

While large language models (LLMs) showcase unprecedented capabilities, they also exhibit certain inherent limitations when facing seemingly trivial tasks. A prime example is the recently debated "reversal curse", which surfaces when…

Computation and Language · Computer Science 2024-11-25 Zhengkai Lin , Zhihang Fu , Kai Liu , Liang Xie , Binbin Lin , Wenxiao Wang , Deng Cai , Yue Wu , Jieping Ye

Large Language Models (LLMs) have made significant advances in natural language processing, but their underlying mechanisms are often misunderstood. Despite exhibiting coherent answers and apparent reasoning behaviors, LLMs rely on…

Computation and Language · Computer Science 2024-08-05 Bo Zhou , Daniel Geißler , Paul Lukowicz

The rise of Large Language Models (LLMs) has significantly advanced various applications on software engineering tasks, particularly in code generation. Despite the promising performance, LLMs are prone to generate hallucinations, which…

Software Engineering · Computer Science 2026-01-22 Fang Liu , Yang Liu , Lin Shi , Zhen Yang , Li Zhang , Xiaoli Lian , Zhongqi Li , Yuchi Ma

Benford's Law is an empirical law which predicts the frequency of significant digits in databases corresponding to various phenomena, natural or artificial. Although counter intuitive at the first sight, it predicts a higher occurrence of…

Data Analysis, Statistics and Probability · Physics 2014-06-30 Gaurav Bhole , Abhishek Shukla , T. S. Mahesh

Large language models (LLMs) have been increasingly applied to a wide range of tasks, from natural language understanding to code generation. While they have also been used to assist in bibliographic recommendation, the hallucination of…

Computation and Language · Computer Science 2025-10-30 Junichiro Niimi

The occurrence of first significant digits of numbers in large data is often governed by a logarithmically decreasing distribution called Benford's law (BL), reported first by S. Newcomb (SN) and many decades later independently by F.…

Digital Libraries · Computer Science 2016-03-22 Tariq Ahmad Mir

Despite their powerful chat, coding, and reasoning abilities, Large Language Models (LLMs) frequently hallucinate. Conventional wisdom suggests that hallucinations are a consequence of a balance between creativity and factuality, which can…

While Diffusion Large Language Models (dLLMs) have emerged as a promising non-autoregressive paradigm comparable to autoregressive (AR) models, their faithfulness, specifically regarding hallucination, remains largely underexplored. To…

Computation and Language · Computer Science 2026-04-14 Zhengnan Guo , Fei Tan

Model hallucination is one of the most critical challenges faced by Large Language Models (LLMs), especially in high-stakes code intelligence tasks. As LLMs become increasingly integrated into software engineering tasks, understanding and…

Software Engineering · Computer Science 2025-11-04 Cuiyun Gao , Guodong Fan , Chun Yong Chong , Shizhan Chen , Chao Liu , David Lo , Zibin Zheng , Qing Liao
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