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Manuscript symbols can be stored, recognized and retrieved from an entropic digital memory that is associative and distributed but yet declarative; memory retrieval is a constructive operation, memory cues to objects not contained in the…

机器学习 · 计算机科学 2022-10-12 Rafael Morales , Noé Hernández , Ricardo Cruz , Victor D. Cruz , Luis A. Pineda

This is a review on entropy in various fields of mathematics and science. Its scope is to convey a unified vision of the classical as well as some newer entropy notions to a broad audience with an intermediate background in dynamical…

动力系统 · 数学 2022-02-08 José M. Amigó , Karsten Keller , Valentina Unakafova

Automatic detection of font size finds many applications in the area of intelligent OCRing and document image analysis, which has been traditionally practiced over uncompressed documents, although in real life the documents exist in…

计算机视觉与模式识别 · 计算机科学 2014-02-19 Mohammed Javed , P. Nagabhushan , B. B. Chaudhuri

We present a method for computing the topological entropy of one-dimensional maps. As an approximation scheme, the algorithm converges rapidly and provides both upper and lower bounds.

chao-dyn · 物理学 2009-10-22 N. J. Balmforth , E. A. Spiegel , C. Tresser

Although content-based image retrieval (CBIR) is not a new subject, it keeps attracting more and more attention, as the amount of images grow tremendously due to internet, inexpensive hardware and automation of image acquisition. One of the…

多媒体 · 计算机科学 2010-02-11 Ismail I. Amr , Mohamed Amin , Passent El Kafrawy , Amr M. Sauber

The profile of a sample is the multiset of its symbol frequencies. We show that for samples of discrete distributions, profile entropy is a fundamental measure unifying the concepts of estimation, inference, and compression. Specifically,…

机器学习 · 统计学 2020-02-27 Yi Hao , Alon Orlitsky

This thesis synthesizes probability and entropic inference with Quantum Mechanics (QM) and quantum measurement [1-6]. It is shown that the standard and quantum relative entropies are tools designed for the purpose of updating probability…

量子物理 · 物理学 2018-04-25 Kevin Vanslette

Image Coding for Machines (ICM) is becoming more important as research in computer vision progresses. ICM is a vital research field that pursues the use of images for image recognition models, facilitating efficient image transmission and…

计算机视觉与模式识别 · 计算机科学 2024-10-17 Takahiro Shindo , Taiju Watanabe , Yui Tatsumi , Hiroshi Watanabe

Abstract-Email cyber-attacks based on malicious documents have become the popular techniques in today's sophisticated attacks. In the past, persistent efforts have been made to detect such attacks. But there are still some common defects in…

计算机与社会 · 计算机科学 2019-03-26 Luping Liu , Xiaohai He , Liang Liu , Lingbo Qing , Yong Fang , Jiayong Liu

Comparison-based algorithms are algorithms for which the execution of each operation is solely based on the outcome of a series of comparisons between elements. Comparison-based computations can be naturally represented via the following…

数据结构与算法 · 计算机科学 2020-11-17 Michel Schellekens

The deployment of Large Language Models (LLMs) in long-context scenarios is hindered by computational inefficiency and significant information redundancy. Although recent advancements have widely adopted context compression to address these…

计算与语言 · 计算机科学 2026-02-03 Kangtao Lv , Jiwei Tang , Langming Liu , Haibin Chen , Weidong Zhang , Shilei Liu , Yongwei Wang , Yujin Yuan , Wenbo Su , Bo Zheng

The recently developed matrix based Renyi's entropy enables measurement of information in data simply using the eigenspectrum of symmetric positive semi definite (PSD) matrices in reproducing kernel Hilbert space, without estimation of the…

机器学习 · 统计学 2023-01-10 Tieliang Gong , Yuxin Dong , Shujian Yu , Bo Dong

It has long been considered a significant problem to improve the visual quality of lossy image and video compression. Recent advances in computing power together with the availability of large training data sets has increased interest in…

多媒体 · 计算机科学 2017-03-30 Aaditya Prakash , Nick Moran , Solomon Garber , Antonella DiLillo , James Storer

It is observed that the entropy reduction (the information gain in the initial terminology) of an efficient (ideal or pure) quantum measurement coincides with the generalized quantum mutual information of a q-c channel mapping an a priori…

量子物理 · 物理学 2015-05-20 M. E. Shirokov

Written language is complex. A written text can be considered an attempt to convey a meaningful message which ends up being constrained by language rules, context dependence and highly redundant in its use of resources. Despite all these…

计算与语言 · 计算机科学 2019-05-20 E. Estevez-Rams , A. Mesa Rodriguez , D. Estevez-Moya

We propose an entropy function for simplicial complices. Its value gives the expected cost of the optimal encoding of sequences of vertices of the complex, when any two vertices belonging to the same simplex are indistinguishable. We show…

信息论 · 计算机科学 2016-03-24 Stefan Dantchev , Ioannis Ivrissimtzis

Neural compression is the application of neural networks and other machine learning methods to data compression. Recent advances in statistical machine learning have opened up new possibilities for data compression, allowing compression…

机器学习 · 计算机科学 2023-08-22 Yibo Yang , Stephan Mandt , Lucas Theis

A well-known but rarely used approach to text categorization uses conditional entropy estimates computed using data compression tools. Text affinity scores derived from compressed sizes can be used for classification and ranking tasks, but…

机器学习 · 计算机科学 2021-12-08 Nitya Kasturi , Igor L. Markov

We study entropy-bounded computational geometry, that is, geometric algorithms whose running times depend on a given measure of the input entropy. Specifically, we introduce a measure that we call range-partition entropy, which unifies and…

计算几何 · 计算机科学 2025-08-29 David Eppstein , Michael T. Goodrich , Abraham M. Illickan , Claire A. To

Real-world data typically contain repeated and periodic patterns. This suggests that they can be effectively represented and compressed using only a few coefficients of an appropriate basis (e.g., Fourier, Wavelets, etc.). However, distance…

机器学习 · 统计学 2014-05-26 Michail Vlachos , Nikolaos Freris , Anastasios Kyrillidis