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Entropy is a famous and well established concept in physics and engineering that can be used for explanation of basic fundamentals as well it finds applications in several areas, from quantum physics to astronomy, from network communication…

Quantum Physics · Physics 2020-01-03 R. V. Ramos

Conformal prediction (CP) provides a comprehensive framework to produce statistically rigorous uncertainty sets for black-box machine learning models. To further improve the efficiency of CP, conformal correction is proposed to fine-tune or…

Machine Learning · Computer Science 2025-12-03 Senrong Xu , Tianyu Wang , Zenan Li , Yuan Yao , Taolue Chen , Feng Xu , Xiaoxing Ma

Physics concepts have often been borrowed and independently developed by other fields of science. In this perspective a significant example is that of entropy in Information Theory. The aim of this paper is to provide a short and…

Physics Education · Physics 2007-05-23 Andrea Baronchelli , Emanuele Caglioti , Vittorio Loreto

As access to high-quality, domain-specific data grows increasingly scarce, multi-epoch training has become a practical strategy for adapting large language models (LLMs). However, autoregressive models often suffer from performance…

Computation and Language · Computer Science 2025-12-30 Jiapeng Wang , Yiwen Hu , Yanzipeng Gao , Haoyu Wang , Shuo Wang , Hongyu Lu , Jiaxin Mao , Wayne Xin Zhao , Junyi Li , Xiao Zhang

A mainstream type of current self-supervised learning methods pursues a general-purpose representation that can be well transferred to downstream tasks, typically by optimizing on a given pretext task such as instance discrimination. In…

Computer Vision and Pattern Recognition · Computer Science 2022-10-21 Xin Liu , Zhongdao Wang , Yali Li , Shengjin Wang

Since its origin in the thermodynamics of the 19th century, the concept of entropy has also permeated other fields of physics and mathematics, such as Classical and Quantum Statistical Mechanics, Information Theory, Probability Theory,…

Machine Learning · Statistics 2025-03-06 Salomé A. Sepúveda Fontaine , José M. Amigó

Our increasingly digital and connected world has led to the generation of unprecedented amounts of data. This data must be efficiently managed, transmitted, and stored to preserve resources and allow scalability. Data compression has…

Information Theory · Computer Science 2025-10-09 Jonas G. Matt , Pengcheng Huang , Balz Maag

The large memory requirements of deep neural networks limit their deployment and adoption on many devices. Model compression methods effectively reduce the memory requirements of these models, usually through applying transformations such…

Machine Learning · Computer Science 2017-11-15 Brandon Reagen , Udit Gupta , Robert Adolf , Michael M. Mitzenmacher , Alexander M. Rush , Gu-Yeon Wei , David Brooks

Adaptive variable-length codes associate a variable-length codeword to the symbol being encoded depending on the previous symbols in the input string. This class of codes has been recently presented in [Dragos Trinca, arXiv:cs.DS/0505007]…

Data Structures and Algorithms · Computer Science 2007-05-23 Dragos Trinca

Time series account for a large proportion of the data stored in financial, medical and scientific databases. The efficient storage of time series is important in practical applications. In this paper, we propose a novel compression scheme…

Neural and Evolutionary Computing · Computer Science 2017-08-17 Daniel Hsu

In this paper we develop the following general approach. We study asymptotic behavior of the entropy numbers not for an individual smoothness class, how it is usually done, but for the collection of classes, which are defined by integral…

Numerical Analysis · Mathematics 2025-07-15 V. Temlyakov

This paper addresses the challenges of thermal sensor allocation and full-chip temperature reconstruction in multi-core systems by leveraging an entropy-based sensor placement strategy and an adaptive compressive sensing approach. By…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Kun-Chih , Chen , Chia-Hsin Chen , Lei-Qi Wang , Chun-Chieh Wang

In many ultrasonic imaging systems, data acquisition and image formation are performed on separate computing devices. Data transmission is becoming a bottleneck, thus, efficient data compression is essential. Compression rates can be…

Image and Video Processing · Electrical Eng. & Systems 2021-09-02 Georgios Pilikos , Lars Horchens , Kees Joost Batenburg , Tristan van Leeuwen , Felix Lucka

This paper explores the combination of neural network quantization and entropy coding for memory footprint minimization. Edge deployment of quantized models is hampered by the harsh Pareto frontier of the accuracy-to-bitwidth tradeoff,…

Machine Learning · Computer Science 2024-06-11 C. Metz , O. Bichler , A. Dupret

Traditional image and video compression algorithms rely on hand-crafted encoder/decoder pairs (codecs) that lack adaptability and are agnostic to the data being compressed. Here we describe the concept of generative compression, the…

Computer Vision and Pattern Recognition · Computer Science 2017-06-06 Shibani Santurkar , David Budden , Nir Shavit

In large scale systems, approximate nearest neighbour search is a crucial algorithm to enable efficient data retrievals. Recently, deep learning-based hashing algorithms have been proposed as a promising paradigm to enable data dependent…

Machine Learning · Computer Science 2019-02-12 Jo Schlemper , Jose Caballero , Andy Aitken , Joost van Amersfoort

The problem of secure multiterminal source coding with side information at the eavesdropper is investigated. This scenario consists of a main encoder (referred to as Alice) that wishes to compress a single source but simultaneously…

Information Theory · Computer Science 2013-11-11 Joffrey Villard , Pablo Piantanida

We demonstrate that Shannon's information entropy and the thermodynamic entropy of Boltzmann and Gibbs are quantitatively equivalent for real condensed-matter systems. By interpreting atomic configurations as information sources, we compute…

Statistical Mechanics · Physics 2025-12-03 Dallin Fisher , Qi-Jun Hong

Visual analytics have played an increasingly critical role in the Internet of Things, where massive visual signals have to be compressed and fed into machines. But facing such big data and constrained bandwidth capacity, existing…

Computer Vision and Pattern Recognition · Computer Science 2021-06-17 Yueyu Hu , Wenhan Yang , Haofeng Huang , Jiaying Liu

Recent advancements in deep learning-based image compression are notable. However, prevalent schemes that employ a serial context-adaptive entropy model to enhance rate-distortion (R-D) performance are markedly slow. Furthermore, the…

Applications · Statistics 2024-03-25 Haisheng Fu , Feng Liang , Jie Liang , Zhenman Fang , Guohe Zhang , Jingning Han
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