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Compressed Counting (CC)} was recently proposed for approximating the $\alpha$th frequency moments of data streams, for $0<\alpha \leq 2$. Under the relaxed strict-Turnstile model, CC dramatically improves the standard algorithm based on…

Data Structures and Algorithms · Computer Science 2008-08-21 Ping Li

Recent years have seen the rise of convolutional neural network techniques in exemplar-based image synthesis. These methods often rely on the minimization of some variational formulation on the image space for which the minimizers are…

Statistics Theory · Mathematics 2019-12-05 Valentin De Bortoli , Agnes Desolneux , Alain Durmus , Bruno Galerne , Arthur Leclaire

Thresholding converts a greyscale image into a binary image, and is thus often a necessary segmentation step in image processing. For a human viewer however, thresholding usually has a negative impact on the legibility of document images.…

Computer Vision and Pattern Recognition · Computer Science 2023-01-20 Christoph Dalitz

Image binarization is the process of separation of pixel values into two groups, white as background and black as foreground. Thresholding plays a major in binarization of images. Thresholding can be categorized into global thresholding and…

Computer Vision and Pattern Recognition · Computer Science 2012-01-26 T. Romen Singh , Sudipta Roy , O. Imocha Singh , Tejmani Sinam , Kh. Manglem Singh

How complex of the complex networks has attracted many researchers to explore it. The entropy is an useful method to describe the degree of the $complex$ of the complex networks. In this paper, a new method which is based on the Tsallis…

Social and Information Networks · Computer Science 2015-01-29 Qi Zhang , Meizhu Li , Yong Deng , Sankaran Mahadevan

The paper presents some aspects of the (gray level) image binarization methods used in artificial vision systems. It is introduced a new approach of gray level image binarization for artificial vision systems dedicated to industrial…

Computer Vision and Pattern Recognition · Computer Science 2015-12-14 Andrei Hossu , Daniela Andone

In this research paper, it is proved that an approximation to Gibbs-Shannon entropy measure naturally leads to Tsallis entropy for the real parameter q =2 . Several interesting measures based on the input as well as output of a discrete…

Information Theory · Computer Science 2012-01-06 Garimella Rama Murthy

The field of information science has greatly developed, and applications in various fields have emerged. In this paper, we evaluated the coding system in the theory of Tsallis entropy for transmission of messages and aimed to formulate the…

Molecular Networks · Quantitative Biology 2017-12-13 Tatsuaki Tsuruyama

In Image Compression, the researchers' aim is to reduce the number of bits required to represent an image by removing the spatial and spectral redundancies. Recently discrete wavelet transform and wavelet packet has emerged as popular…

Computer Vision and Pattern Recognition · Computer Science 2010-04-20 G. K. Kharate , V. H. Patil

This paper attempts to undertake the study of segmentation image techniques by using five threshold methods as Mean method, P-tile method, Histogram Dependent Technique (HDT), Edge Maximization Technique (EMT) and visual Technique and they…

Computer Vision and Pattern Recognition · Computer Science 2010-05-24 Salem Saleh Al-amri , N. V. Kalyankar , Khamitkar S. D.

In the previous paper \cite{FYK}, we mainly studied the mathematical properties of Tsallis relative entropy with respect to the density operators. As an application of it, we adopt a parametrically extended entanglement-measure due to…

Quantum Physics · Physics 2010-01-08 Shigeru Furuichi

This article extends the non-extensive entropy of Tsallis and uses this entropy to model an energy producing system in an absorbing heat bath. This modified non-extensive entropy is superficially identical to the one proposed by Tsallis,…

Statistical Mechanics · Physics 2007-05-23 Mark Fleischer

A two-parameter family of statistical measures of complexity are introduced based on the Tsallis-type nonadditive entropies. This provides a unified framework for the study of the recently proposed various measures of complexity as well as…

Statistical Mechanics · Physics 2009-09-29 Sumiyoshi Abe , P. T. Landsberg , A. R. Plastino , Takuya Yamano

The brain perfusion ROI detection being a preliminary step, designed to exclude non-brain tissues from analyzed DSC perfusion MR images. Its accuracy is considered as the key factor for delivering correct results of perfusion data analysis.…

Medical Physics · Physics 2024-05-15 Svitlana Alkhimova , Svitlana Sliusar

Multilevel Image thresholding is an important preprocessing algorithm in computer vision applications nowadays. Since most common thresholding methods take the desired count of thresholds as input by the user, thresholding methods that…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Eslam Hegazy , Mohamed Gabr

In this paper we introduce an easy to compute upper bound on the Tsallis entropy of a density matrix describing a system coupled to a noise source. This suggests that the Tsallis entropy is most natural in the context of quantum information…

Quantum Physics · Physics 2017-02-28 Boaz Tamir

The aim of this paper is to further explore the usefulness of the two-dimensional complexity-entropy causality plane as a texture image descriptor. A multiscale generalization is introduced in order to distinguish between different…

Data Analysis, Statistics and Probability · Physics 2017-05-17 Luciano Zunino , Haroldo V. Ribeiro

This paper proposes a novel method which combines both median filter and simple standard deviation to accomplish an excellent edge detector for image processing. First of all, a denoising process must be applied on the grey scale image…

Computer Vision and Pattern Recognition · Computer Science 2013-04-24 Firas A. Jassim

In this paper, we propose to quantitatively compare loss functions based on parameterized Tsallis-Havrda-Charvat entropy and classical Shannon entropy for the training of a deep network in the case of small datasets which are usually…

Image and Video Processing · Electrical Eng. & Systems 2022-03-24 Thibaud Brochet , Jérôme Lapuyade-Lahorgue , Pierre Vera , Su Ruan

We study the estimation of Tsallis entropy of a finite number of independent populations, each following an exponential distribution with the same scale parameter and distinct location parameters for $q>0$. We derive a Stein-type improved…

Statistics Theory · Mathematics 2024-01-18 Naveen Kumar , Ambesh Dixit , Vivek Vijay