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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…

统计理论 · 数学 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…

软件工程 · 计算机科学 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.…

统计理论 · 数学 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.…

计算机视觉与模式识别 · 计算机科学 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…

机器人学 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

统计方法学 · 统计学 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…

统计力学 · 物理学 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…

机器学习 · 计算机科学 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…

统计理论 · 数学 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…

数学物理 · 物理学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

定量方法 · 定量生物学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 统计学 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…

混沌动力学 · 物理学 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…

图像与视频处理 · 电气工程与系统科学 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…

计算机视觉与模式识别 · 计算机科学 2022-06-28 Vivien Sainte Fare Garnot , Loic Landrieu