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A class of estimators of the R\'{e}nyi and Tsallis entropies of an unknown distribution $f$ in $\mathbb{R}^m$ is presented. These estimators are based on the $k$th nearest-neighbor distances computed from a sample of $N$ i.i.d. vectors with…

Statistics Theory · Mathematics 2012-11-16 Nikolai Leonenko , Luc Pronzato , Vippal Savani

The analysis of execution paths (also known as software traces) collected from a given software product can help in a number of areas including software testing, software maintenance and program comprehension. The lack of a scalable…

Software Engineering · Computer Science 2012-05-14 A. V. Miranskyy , M. Davison , M. Reesor , S. S. Murtaza

Recently, weighted cumulative residual Tsallis entropy has been introduced in the literature as a generalization of weighted cumulative residual entropy. We study some new properties of weighted cumulative residual Tsallis entropy measure.…

Statistics Theory · Mathematics 2026-02-02 Siddhartha Chakraborty , Asok K. Nanda

In recent years, semantic segmentation has become a pivotal tool in processing and interpreting satellite imagery. Yet, a prevalent limitation of supervised learning techniques remains the need for extensive manual annotations by experts.…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Aysim Toker , Marvin Eisenberger , Daniel Cremers , Laura Leal-Taixé

Integrating Global Navigation Satellite Systems (GNSS) in Simultaneous Localization and Mapping (SLAM) systems draws increasing attention to a global and continuous localization solution. Nonetheless, in dense urban environments, GNSS-based…

Robotics · Computer Science 2023-12-29 Jie Yin , Tao Li , Hao Yin , Wenxian Yu , Danping Zou

Satellite image analysis has important implications for land use, urbanization, and ecosystem monitoring. Deep learning methods can facilitate the analysis of different satellite modalities, such as electro-optical (EO) and synthetic…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Marcel Hussing , Karen Li , Eric Eaton

Geographical data are generally autocorrelated. In this case, it is preferable to select spread units. In this paper, we propose a new method for selecting well-spread samples from a finite spatial population with equal or unequal inclusion…

Methodology · Statistics 2020-08-11 Raphaël Jauslin , Yves Tillé

A general investigation is made into the intrinsic Riemannian geometry for complex systems, from the perspective of statistical mechanics. The entropic formulation of statistical mechanics is the ingredient which enables a connection…

Statistical Mechanics · Physics 2010-08-18 B. N. Tiwari , Vinod Chandra , Subhashish Banerjee

Efficient use of cultivated areas is a necessary factor for sustainable development of agriculture and ensuring food security. Along with the rapid development of satellite technologies in developed countries, new methods are being searched…

Machine Learning · Computer Science 2025-02-10 Artughrul Gayibov

We investigate the cumulative Tsallis entropy, an information measure recently introduced as a cumulative version of the classical Tsallis differential entropy, which is itself a generalization of the Boltzmann-Gibbs statistics. This…

Statistics Theory · Mathematics 2023-06-02 Guillaume Dulac , Thomas Simon

Nonextensive entropies are divided into three classes, each of which is characterized by Shannon additivity and pseudoadditivity. One of the three classes has properties of both additivities. The remaining classes have only one property of…

Mathematical Physics · Physics 2007-05-23 Hiroki Suyari

Recently, learned image compression has attracted considerable attention due to its superior performance over traditional methods. However, most existing approaches employ a single entropy model to estimate the probability distribution of…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Chunhang Zheng , Zichang Ren , Dou Li

Satellite imagery is widely used in many application sectors, including agriculture, navigation, and urban planning. Frequently, satellite imagery involves both large numbers of images as well as high pixel counts, making satellite datasets…

Computer Vision and Pattern Recognition · Computer Science 2021-05-27 Joshua Abraham , Calden Wloka

We present a new 10-meter map of dominant tree species in Swedish forests accompanied by pixel-level uncertainty estimates. The tree species classification is based on spatiotemporal metrics derived from Sentinel-1 and Sentinel-2 satellite…

Quantitative Methods · Quantitative Biology 2025-12-03 Abdulhakim M. Abdi , Fan Wang

Predicting river flow in places without streamflow records is challenging because basins respond differently to climate, terrain, vegetation, and soils. Traditional basin attributes describe some of these differences, but they cannot fully…

Machine Learning · Computer Science 2026-01-06 Pengfei Qu , Wenyu Ouyang , Chi Zhang , Yikai Chai , Shuolong Xu , Lei Ye , Yongri Piao , Miao Zhang , Huchuan Lu

Geospatial foundation models increasingly expose pixel-level embedding products that can be downloaded and reused without access to the underlying encoder. In this setting, downstream tasks with patch- or region-level labels require a…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Isaac Corley , Caleb Robinson , Inbal Becker-Reshef , Juan M. Lavista Ferres

The coupled entropy is proven to correct a flaw in the derivation of the Tsallis entropy and thereby solidify the theoretical foundations for analyzing the uncertainty of complex systems. The Tsallis entropy originated from considering…

Machine Learning · Statistics 2025-11-25 Kenric P. Nelson

We demonstrate that dual entropy expressions of the Tsallis type apply naturally to statistical-mechanical systems that experience an exceptional contraction of their configuration space. The entropic index $\alpha>1$ describes the…

Chaotic Dynamics · Physics 2015-11-30 G. Cigdem Yalcin , Carlos Velarde , Alberto Robledo

The histogram of an image is the accurate graphical representation of the numerical grayscale distribution and it is also an estimate of the probability distribution of image pixels. Therefore, histogram has been widely adopted to calculate…

Image and Video Processing · Electrical Eng. & Systems 2025-04-02 ZhenZhou Wang

Unprecedented access to multi-temporal satellite imagery has opened new perspectives for a variety of Earth observation tasks. Among them, pixel-precise panoptic segmentation of agricultural parcels has major economic and environmental…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Vivien Sainte Fare Garnot , Loic Landrieu
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