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This paper investigates the uncertainty of Generative Pre-trained Transformer (GPT) models in extracting mathematical equations from images of varying resolutions and converting them into LaTeX code. We employ concepts of entropy and mutual…

信息论 · 计算机科学 2024-12-10 Alexei Kaltchenko

The quality of image encryption is commonly measured by the Shannon entropy over the ciphertext image. However, this measurement does not consider to the randomness of local image blocks and is inappropriate for scrambling based image…

密码学与安全 · 计算机科学 2016-11-27 Yue Wu , Joseph P. Noonan , Sos Agaian

Information theory and Shannon entropy are essential for quantifying irregularity in complex systems or signals. Recently, two-dimensional entropy methods, such as two-dimensional sample entropy, distribution entropy, and permutation…

图像与视频处理 · 电气工程与系统科学 2025-03-31 Runze Jiang , Pengjian Shang

Predictive modeling in archaeology is essential for the understanding of people's behavior in the past and for guiding heritage conservation. However, spatial sampling bias caused by uneven research effort can severely limit model…

应用统计 · 统计学 2025-08-05 Mehmet Sıddık Çadırcı , Golnaz Shahtahmassebi

Image forensics has become increasingly crucial in our daily lives. Among various types of forgeries, copy-move forgery detection has received considerable attention within the academic community. Keypoint-based algorithms, particularly…

计算机视觉与模式识别 · 计算机科学 2024-05-01 Li Jiang , Zhaowei Lu

Mouse-tracking of computer system users represents a less expensive, but also a far more applicable alternative to eye-tracking. The main disadvantage of mouse-tracking are errors manifested as discrepancies between the actual eye-gaze…

人机交互 · 计算机科学 2021-05-14 Aleksandar Jevremovic , Panayiotis Zaphiris , Sasa Adamovic , Mati Mottus , Andri Ioannou

We revisit the well-studied problem of estimating the Shannon entropy of a probability distribution, now given access to a probability-revealing conditional sampling oracle. In this model, the oracle takes as input the representation of a…

密码学与安全 · 计算机科学 2022-06-03 Priyanka Golia , Brendan Juba , Kuldeep S. Meel

This paper introduces a concept for change-point detection based on normalized entropy as a fundamental metric, aiming to overcome the dependence of traditional entropy methods on assumptions about data distribution and absolute scales.…

应用统计 · 统计学 2025-11-18 Qingqing Song , Shaoliang Xia

In recent deep image compression neural networks, the entropy model plays a critical role in estimating the prior distribution of deep image encodings. Existing methods combine hyperprior with local context in the entropy estimation…

图像与视频处理 · 电气工程与系统科学 2023-03-16 Yichen Qian , Zhiyu Tan , Xiuyu Sun , Ming Lin , Dongyang Li , Zhenhong Sun , Hao Li , Rong Jin

Data partitioning that maximizes/minimizes the Shannon entropy, or more generally the R\'enyi entropy is a crucial subroutine in data compression, columnar storage, and cardinality estimation algorithms. These partition algorithms can be…

数据结构与算法 · 计算机科学 2025-11-05 Aryan Esmailpour , Sanjay Krishnan , Stavros Sintos

Shannon entropy is not the only entropy that is relevant to machine-learning datasets, nor possibly even the most important one. Traditional entropies such as Shannon entropy capture information represented by elements' frequencies but not…

信息论 · 计算机科学 2026-04-01 Phuc Nguyen , Josiah Couch , Rahul Bansal , Alexandra Morgan , Chris Tam , Miao Li , Rima Arnaout , Ramy Arnaout

The problem of Shannon entropy estimation in countable infinite alphabets is addressed from the study and use of convergence results of the entropy functional, which is known to be discontinuous with respect to the total variation distance…

信息论 · 计算机科学 2018-04-03 Jorge F. Silva

Shannon Entropy is the preeminent tool for measuring the level of uncertainty (and conversely, information content) in a random variable. In the field of communications, entropy can be used to express the information content of given…

信息论 · 计算机科学 2024-11-06 Bill Kay , Audun Myers , Thad Boydston , Emily Ellwein , Cameron Mackenzie , Iliana Alvarez , Erik Lentz

Deep convolutional neural networks have been widely used in scene classification of remotely sensed images. In this work, we propose a robust learning method for the task that is secure against partially incorrect categorization of images.…

计算机视觉与模式识别 · 计算机科学 2023-01-18 Jinyang Wang , Tao Wang , Min Gan , George Hadjichristofi

Compared to conventional zero-shot learning (ZSL) where recognising unseen classes is the primary or only aim, the goal of generalized zero-shot learning (GZSL) is to recognise both seen and unseen classes. Most GZSL methods typically learn…

计算机视觉与模式识别 · 计算机科学 2021-01-12 Zhi Chen , Zi Huang , Jingjing Li , Zheng Zhang

A major challenge for matching-based depth estimation is to prevent mismatches in occlusion and smooth regions. An effective matching window satisfying three characteristics: texture richness, disparity consistency and anti-occlusion should…

计算机视觉与模式识别 · 计算机科学 2023-02-22 Ligen Shi , Chang Liu , Di He , Xing Zhao , Jun Qiu

In point cloud geometry compression, most octreebased context models use the cross-entropy between the onehot encoding of node occupancy and the probability distribution predicted by the context model as the loss. This approach converts the…

图像与视频处理 · 电气工程与系统科学 2024-07-12 Chang Sun , Hui Yuan , Xiaolong Mao , Xin Lu , Raouf Hamzaoui

In this research short, we examine the potential of using GPT-4o, a state-of-the-art large language model (LLM) to undertake evidence synthesis and systematic assessment tasks. Traditional workflows for such tasks involve large groups of…

计算与语言 · 计算机科学 2024-07-19 Elphin Tom Joe , Sai Dileep Koneru , Christine J Kirchhoff

Entropy is the measure of uncertainty in any data and is adopted for maximisation of mutual information in many remote sensing operations. The availability of wide entropy variations motivated us for an investigation over the suitability…

计算机视觉与模式识别 · 计算机科学 2014-05-25 Dr. S. K. Katiyar , Arun P. V.

This paper introduces an objective metric for evaluating a parsing scheme. It is based on Shannon's original work with letter sequences, which can be extended to part-of-speech tag sequences. It is shown that this regular language is an…

cmp-lg · 计算机科学 2008-02-03 Caroline Lyon , Stephen Brown
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