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Entropies associated with spatial subsystems in conventional local quantum field theories are typically divergent when the spatial regions have boundaries. However, in certain linear combinations of the entropies for various subsystems,…

High Energy Physics - Theory · Physics 2025-09-01 Mark Van Raamsdonk

Many computational linguistic methods have been proposed to study the information content of languages. We consider two interesting research questions: 1) how is information distributed over long documents, and 2) how does content…

Computation and Language · Computer Science 2023-09-13 Shaoxiong Ji , Wei Sun , Pekka Marttinen

Information-theoretic quantities, such as entropy, are used to quantify the amount of information a given variable provides. Entropies can be used together to compute the mutual information, which quantifies the amount of information two…

Data Analysis, Statistics and Probability · Physics 2014-12-22 Kevin H. Knuth , Deniz Gençağa , William B. Rossow

Entropy estimation is essential for the performance of learned image compression. It has been demonstrated that a transformer-based entropy model is of critical importance for achieving a high compression ratio, however, at the expense of a…

Image and Video Processing · Electrical Eng. & Systems 2024-02-28 A. Burakhan Koyuncu , Panqi Jia , Atanas Boev , Elena Alshina , Eckehard Steinbach

The quantification of visual aesthetics and complexity have a long history, the latter previously operationalized via the application of compression algorithms. Here we generalize and extend the compression approach beyond simple complexity…

Computer Vision and Pattern Recognition · Computer Science 2022-05-23 Andres Karjus , Mar Canet Solà , Tillmann Ohm , Sebastian E. Ahnert , Maximilian Schich

Lossy image coding standards such as JPEG and MPEG have successfully achieved high compression rates for human consumption of multimedia data. However, with the increasing prevalence of IoT devices, drones, and self-driving cars, machines…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Chen-Hsiu Huang , Ja-Ling Wu

An entropy-based image segmentation approach is introduced and applied to color images obtained from Google Earth. Segmentation refers to the process of partitioning a digital image in order to locate different objects and regions of…

Computational Physics · Physics 2009-11-10 A. L. Barbieri , G. Arruda , F. A. Rodrigues , O. M. Bruno , L. da F. Costa

Within the task of collaborative filtering two challenges for computing conditional probabilities exist. First, the amount of training data available is typically sparse with respect to the size of the domain. Thus, support for higher-order…

Information Retrieval · Computer Science 2012-07-19 Lawrence Zitnick , Takeo Kanade

Transformer based re-ranking models can achieve high search relevance through context-aware soft matching of query tokens with document tokens. To alleviate runtime complexity of such inference, previous work has adopted a late interaction…

Information Retrieval · Computer Science 2022-03-30 Yingrui Yang , Yifan Qiao , Tao Yang

In vector quantization the number of vectors used to construct the codebook is always an undefined problem, there is always a compromise between the number of vectors and the quantity of information lost during the compression. In this text…

Probability · Mathematics 2007-05-23 Rami Kanhouche

Music summarization allows for higher efficiency in processing, storage, and sharing of datasets. Machine-oriented approaches, being agnostic to human consumption, optimize these aspects even further. Such summaries have already been…

Information Retrieval · Computer Science 2021-12-13 Francisco Raposo , David Martins de Matos , Ricardo Ribeiro

This paper introduces an efficient patch-based computational module, coined Entropy-based Patch Encoder (EPE) module, for resource-constrained semantic segmentation. The EPE module consists of three lightweight fully-convolutional encoders,…

Computer Vision and Pattern Recognition · Computer Science 2022-07-08 Lusine Abrahamyan , Nikos Deligiannis

Approximation of entropies of various types using machine learning (ML) regression methods are shown for the first time. The ML models presented in this study define the complexity of the short time series by approximating dissimilar…

Machine Learning · Computer Science 2022-11-30 Andrei Velichko , Maksim Belyaev , Matthias P. Wagner , Alireza Taravat

We investigate the performance of entropy estimation methods, based either on block entropies or compression approaches, in the case of bidimensional sequences. We introduce a validation dataset made of images produced by a large number of…

Data Analysis, Statistics and Probability · Physics 2022-07-07 F. N. M. de Sousa Filho , V. G. Pereira de Sá , E. Brigatti

The time decay of fully discrete finite-volume approximations of porous-medium and fast-diffusion equations with Neumann or periodic boundary conditions is proved in the entropy sense. The algebraic or exponential decay rates are computed…

Numerical Analysis · Mathematics 2013-03-18 Claire Chainais-Hillairet , Ansgar Jüngel , Stefan Schuchnigg

We propose utilizing entropy as a diagnostic tool to distinguish between constant and dynamical dark energy models. Entropy, a measure of the system's disorder or information content, captures the complexity and evolution of the universe.…

General Relativity and Quantum Cosmology · Physics 2025-07-16 Tanisha Joshi

Recently, Information Retrieval community has witnessed fast-paced advances in Dense Retrieval (DR), which performs first-stage retrieval with embedding-based search. Despite the impressive ranking performance, previous studies usually…

Information Retrieval · Computer Science 2021-08-24 Jingtao Zhan , Jiaxin Mao , Yiqun Liu , Jiafeng Guo , Min Zhang , Shaoping Ma

Given a large real symmetric, positive semidefinite m-by-m matrix, the goal of this paper is to show how a numerical approximation of the entropy, given by the sum of the entropies of the individual eigenvalues, can be computed in an…

Numerical Analysis · Mathematics 2014-06-13 Thomas P. Wihler , Bänz Bessire , André Stefanov

Learning-based image compression has improved to a level where it can outperform traditional image codecs such as HEVC and VVC in terms of coding performance. In addition to good compression performance, device interoperability is essential…

Image and Video Processing · Electrical Eng. & Systems 2022-12-05 Esin Koyuncu , Timofey Solovyev , Elena Alshina , André Kaup

We present a method for the classification of multi-labelled text documents explicitly designed for data stream applications that require to process a virtually infinite sequence of data using constant memory and constant processing time.…

Artificial Intelligence · Computer Science 2016-04-13 Ricardo Ñanculef , Ilias Flaounas , Nello Cristianini