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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

We extend the Hanel and Thurner asymptotic analysis to both extensive and non-extensive entropies on the basis of a wide class of entropic forms. The procedure is known to be capable to classify multiple entropy measures in terms of their…

Statistical Mechanics · Physics 2020-02-21 Nana Cabo Bizet , Jesus Fuentes , Octavio Obregon

Generalizing the group structure of the Euclidean space, we construct a Riemannian metric on the deformed set \ $\mathbb{R}^n_q$ \ induced by the Tsallis entropy composition property. We show that the Tsallis entropy is a "hyperbolic…

Mathematical Physics · Physics 2015-06-03 Nikos Kalogeropoulos

The analysis of satellite imagery will prove a crucial tool in the pursuit of sustainable development. While Convolutional Neural Networks (CNNs) have made large gains in natural image analysis, their application to multi-spectral satellite…

Computer Vision and Pattern Recognition · Computer Science 2020-09-16 Sagar Vaze , James Foley , Mohamed Seddiq , Alexey Unagaev , Natalia Efremova

In this paper, we propose a new discriminative model named \emph{nonextensive information theoretical machine (NITM)} based on nonextensive generalization of Shannon information theory. In NITM, weight parameters are treated as random…

Machine Learning · Computer Science 2016-04-22 Chaobing Song , Shu-Tao Xia

In this paper, we propose an unsupervised method for hyperspectral remote sensing image segmentation. The method exploits the mean-shift clustering algorithm that takes as input a preliminary hyperspectral superpixels segmentation together…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Mirko Paolo Barbato , Paolo Napoletano , Flavio Piccoli , Raimondo Schettini

Many remote sensing applications employ masking of pixels in satellite imagery for subsequent measurements. For example, estimating water quality variables, such as Suspended Sediment Concentration (SSC) requires isolating pixels depicting…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Rangel Daroya , Luisa Vieira Lucchese , Travis Simmons , Punwath Prum , Tamlin Pavelsky , John Gardner , Colin J. Gleason , Subhransu Maji

Supervised statistical classification is a vital tool for satellite image processing. It is useful not only when a discrete result, such as feature extraction or surface type, is required, but also for continuum retrievals by dividing the…

Atmospheric and Oceanic Physics · Physics 2016-02-05 Peter Mills

An entropy for the scalar variable case, parallel to Havrda-Charvat entropy was introduced by the first author and the properties and its connection to Tsallis non-extensive statistical mechanics and the Mathai pathway model were examined…

Methodology · Statistics 2014-09-11 A. M. Mathai , H. J. Haubold

In this paper, we consider the problem of estimating Tsallis entropy from a given data set. We propose four different estimators for Tsallis entropy measure based on higher-order sample spacings, and then discuss estimation of Tsallis…

Methodology · Statistics 2026-02-10 Siddhartha Chakraborty , Asok K. Nanda , Narayanaswamy Balakrishnan

In the field of image analysis, segmentation is one of the most important preprocessing steps. One way to achieve segmentation is by mean of threshold selection, where each pixel that belongs to a determined class islabeled according to the…

Computer Vision and Pattern Recognition · Computer Science 2014-05-30 Valentín Osuna-Enciso , Erik Cuevas , Humberto Sossa

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

A chain rule and a subadditivity for the entropy of type $\beta$, which is one of the nonadditive entropies, were derived by Z.Dar\'oczy. In this paper, we study the further relations among Tsallis type entropies which are typical…

Statistical Mechanics · Physics 2015-06-24 Shigeru Furuichi

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 this paper we introduce a nonextensive quantum information theoretic measure which may be defined between any arbitrary number of density matrices, and we analyze its fundamental properties in the spectral graph-theoretic framework.…

Information Theory · Computer Science 2015-04-15 A. Ben Hamza

It is not obvious how to extend Shannon's original information entropy to higher dimensions, and many different approaches have been tried. We replace the English text symbol sequence originally used to illustrate the theory by a discrete,…

Information Theory · Computer Science 2016-09-06 Kieran G. Larkin

Classification of satellite images is a key component of many remote sensing applications. One of the most important products of a raw satellite image is the classified map which labels the image pixels into meaningful classes. Though…

Methodology · Statistics 2013-06-03 Reshu Agarwal , Pritam Ranjan , Hugh Chipman

In recent years, the wide availability of high-resolution radar satellite images has enabled the remote monitoring of wetland surface areas. Machine learning models have achieved state-of-the-art results in segmenting wetlands from…

Computer Vision and Pattern Recognition · Computer Science 2025-10-16 Ioannis Iakovidis , Zahra Kalantari , Amir Hossein Payberah , Fernando Jaramillo , Francisco Pena Escobar

In this paper we address the challenge of land cover classification for satellite images via Deep Learning (DL). Land Cover aims to detect the physical characteristics of the territory and estimate the percentage of land occupied by a…

Computer Vision and Pattern Recognition · Computer Science 2024-10-08 Eleonora Bernasconi , Francesco Pugliese , Diego Zardetto , Monica Scannapieco

The goal of this paper is to present a new efficient image segmentation method based on evolutionary computation which is a model inspired from human behavior. Based on this model, a four layer process for image segmentation is proposed…

Computer Vision and Pattern Recognition · Computer Science 2017-12-07 Roohollah Aslanzadeh , Kazem Qazanfari , Mohammad Rahmati