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Since the emergence of research on improving the length extrapolation capabilities of large language models in 2021, some studies have made modifications to the scaling factor in the scaled dot-product attention mechanism as part of their…

Computation and Language · Computer Science 2025-01-28 Kewei Li , Yanwen Kong , Yiping Xu , Jianlin Su , Lan Huang , Ruochi Zhang , Fengfeng Zhou

We address the problem of image color quantization using a Maximum Entropy based approach. Focusing on pixel mapping we argue that adding thermal noise to the system yields better visual impressions than that obtained from a simple energy…

Statistical Mechanics · Physics 2023-03-15 Samy Lakhal , Alexandre Darmon , Michael Benzaquen

Fault classification in industrial machinery is vital for enhancing reliability and reducing downtime, yet it remains challenging due to the variability of vibration patterns across diverse operating conditions. This study introduces a…

Machine Learning · Computer Science 2025-04-15 Moirangthem Tiken Singh

There has been considerable progress in implicit neural representation to upscale an image to any arbitrary resolution. However, existing methods are based on defining a function to predict the Red, Green and Blue (RGB) value from just four…

Computer Vision and Pattern Recognition · Computer Science 2023-11-20 Rishav Bhardwaj , Janarthanam Jothi Balaji , Vasudevan Lakshminarayanan

The performance of unified multimodal models for image generation and editing is fundamentally constrained by the quality and comprehensiveness of their training data. While existing datasets have covered basic tasks like style transfer and…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Zhihong Chen , Xuehai Bai , Yang Shi , Chaoyou Fu , Huanyu Zhang , Haotian Wang , Xiaoyan Sun , Zhang Zhang , Liang Wang , Yuanxing Zhang , Pengfei Wan , Yi-Fan Zhang

Neural networks achieve remarkable performance through superposition: encoding multiple features as overlapping directions in activation space rather than dedicating individual neurons to each feature. This challenges interpretability, yet…

Machine Learning · Computer Science 2025-12-16 Leonard Bereska , Zoe Tzifa-Kratira , Reza Samavi , Efstratios Gavves

In recent years, predictive machine learning methods have gained prominence in various scientific domains. However, due to their black-box nature, it is essential to establish trust in these models before accepting them as accurate. One…

Statistical Mechanics · Physics 2024-04-10 Shams Mehdi , Pratyush Tiwary

We introduce Shannon's information entropy to characterize the avoided crossing appearing in the resonant Zener-like phenomenon in ultrasonic superlattices made of two different fluidlike meta- materials. We show that Shannon's entropy…

Other Condensed Matter · Physics 2009-11-13 Helios Sanchis-Alepuz , Jose Sanchez-Dehesa

Shannon entropy, a cornerstone of information theory, statistical physics and inference methods, is uniquely identified by the Shannon-Khinchin or Shore-Johnson axioms. Generalizations of Shannon entropy, motivated by the study of…

Data Analysis, Statistics and Probability · Physics 2026-04-20 Andrea Somazzi , Diego Garlaschelli

Paleoclimate records are extremely rich sources of information about the past history of the Earth system. Information theory, the branch of mathematics capable of quantifying the degree to which the present is informed by the past,…

Tracking a point through a video can be a challenging task due to uncertainty arising from visual obfuscations, such as appearance changes and occlusions. Although current state-of-the-art discriminative models excel in regressing long-term…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Mattie Tesfaldet , Adam W. Harley , Konstantinos G. Derpanis , Derek Nowrouzezahrai , Christopher Pal

Shannon's entropy is one of the building blocks of information theory and an essential aspect of Machine Learning methods (e.g., Random Forests). Yet, it is only finitely defined for distributions with fast decaying tails on a countable…

Statistics Theory · Mathematics 2022-05-25 Jialin Zhang , Jingyi Shi

Logit-based LLM watermarking traces and verifies AI-generated content by maintaining green and red token lists and increasing the likelihood of green tokens during generation. However, it fails in low-entropy scenarios, where predictable…

Computation and Language · Computer Science 2025-05-21 Tianle Gu , Zongqi Wang , Kexin Huang , Yuanqi Yao , Xiangliang Zhang , Yujiu Yang , Xiuying Chen

Today, eye trackers are extensively used in user interface evaluations. However, it's still hard to analyze and interpret eye tracking data from the aesthetic point of view. To find quantitative links between eye movements and aesthetic…

Human-Computer Interaction · Computer Science 2018-03-06 Zhenyu Gu , Chenhao Jin , Zhanxun Dong , Danni Chang

Reinforcement Learning with Verifiable Rewards (RLVR) improves the reasoning ability of Large Language Models (LLMs), but sparse outcome rewards make token-level credit assignment difficult. We study token-level credit as a…

Machine Learning · Computer Science 2026-05-27 Yuhang He , Haodong Wu , Siyi Liu , Hongyu Ge , Hange Zhou , Keyi Wu , Zhuo Zheng , Qihong Lin , Zixin Zhong , Yongqi Zhang

Failure prediction of any electrical/optical component is crucial for estimating its operating life. Using high temperature operating life (HTOL) tests, it is possible to model the failure mechanisms for integrated circuits. Conventional…

Local image feature matching under large appearance, viewpoint, and distance changes is challenging yet important. Conventional methods detect and match tentative local features across the whole images, with heuristic consistency checks to…

Computer Vision and Pattern Recognition · Computer Science 2022-02-24 Ying Chen , Dihe Huang , Shang Xu , Jianlin Liu , Yong Liu

Significant progress has been achieved on the improvement and downstream usages of the Contrastive Language-Image Pre-training (CLIP) vision-language model, while less attention is paid to the interpretation of CLIP. We propose a…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Chenyang Zhao , Kun Wang , Janet H. Hsiao , Antoni B. Chan

In this paper we propose a score of an image to use for coreset selection in image classification and semantic segmentation tasks. The score is the entropy of an image as approximated by the bits-per-pixel of its compressed version. Thus…

Computer Vision and Pattern Recognition · Computer Science 2025-09-18 Raghavendra Singh

This paper studies the problem of estimating the differential entropy $h(S+Z)$, where $S$ and $Z$ are independent $d$-dimensional random variables with $Z\sim\mathcal{N}(0,\sigma^2 \mathrm{I}_d)$. The distribution of $S$ is unknown, but $n$…

Statistics Theory · Mathematics 2019-06-04 Ziv Goldfeld , Kristjan Greenewald , Yury Polyanskiy