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The use of covariance kernels is ubiquitous in the field of spatial statistics. Kernels allow data to be mapped into high-dimensional feature spaces and can thus extend simple linear additive methods to nonlinear methods with higher order…

机器学习 · 统计学 2017-11-16 Jean-Francois Ton , Seth Flaxman , Dino Sejdinovic , Samir Bhatt

Polarimetric synthetic aperture radar (PolSAR) image classification has been investigated vigorously in various remote sensing applications. However, it is still a challenging task nowadays. One significant barrier lies in the speckle…

计算机视觉与模式识别 · 计算机科学 2020-09-15 Haixia Bi , Jing Yao , Zhiqiang Wei , Danfeng Hong , Jocelyn Chanussot

Support Vector Machines (SVMs) are still one of the most popular and precise classifiers. The Radial Basis Function (RBF) kernel has been used in SVMs to separate among classes with considerable success. However, there is an intrinsic…

机器学习 · 计算机科学 2020-07-17 Karl Thurnhofer-Hemsi , Ezequiel López-Rubio , Miguel A. Molina-Cabello , Kayvan Najarian

Recently, deep learning methods have achieved superior performance for Polarimetric Synthetic Aperture Radar(PolSAR) image classification. Existing deep learning methods learn PolSAR data by converting the covariance matrix into a feature…

计算机视觉与模式识别 · 计算机科学 2023-12-07 Junfei Shi , Wei Wang , Haiyan Jin , Mengmeng Nie , Shanshan Ji

The scaled complex Wishart distribution is a widely used model for multilook full polarimetric SAR data whose adequacy has been attested in the literature. Classification, segmentation, and image analysis techniques which depend on this…

机器学习 · 统计学 2023-07-19 Alejandro C. Frery , Abraão D. C. Nascimento , Renato J. Cintra

This paper addresses the challenge of classifying polarimetric SAR images by leveraging the peculiar characteristics of the polarimetric covariance matrix (PCM). To this end, a general framework to solve a multiple hypothesis test is…

信号处理 · 电气工程与系统科学 2021-06-22 Pia Addabbo , Filippo Biondi , Carmine Clemente , Sudan Han , Danilo Orlando , Giuseppe Ricci

This paper presents a kernel-based discriminative learning framework on probability measures. Rather than relying on large collections of vectorial training examples, our framework learns using a collection of probability distributions that…

机器学习 · 统计学 2013-01-15 Krikamol Muandet , Kenji Fukumizu , Francesco Dinuzzo , Bernhard Schölkopf

We present a data-driven method for computing approximate forward reachable sets using separating kernels in a reproducing kernel Hilbert space. We frame the problem as a support estimation problem, and learn a classifier of the support as…

最优化与控制 · 数学 2020-11-20 Adam J. Thorpe , Kendric R. Ortiz , Meeko M. K. Oishi

Radial Basis Function (RBF), or Gaussian, kernels are among the most widely used parametric kernels in machine learning, particularly in methods such as Support Vector Machines (SVM) and kernel-based subspace approaches. The kernel…

综合数学 · 数学 2026-04-03 Lakhdar Remaki

Localized support vector machines solve SVMs on many spatially defined small chunks and one of their main characteristics besides the computational benefit compared to global SVMs is the freedom of choosing arbitrary kernel and…

统计理论 · 数学 2019-09-27 Ingrid Blaschzyk , Ingo Steinwart

As a representation learning method, nearest regularized subspace(NRS) algorithm is an effective tool to obtain both accuracy and speed for PolSAR image classification. However, existing NRS methods use the polarimetric feature vector but…

图像与视频处理 · 电气工程与系统科学 2023-02-08 Junfei Shi , Haiyan Jin

This work presents a comprehensive examination of the use of information theory for understanding Polarimetric Synthetic Aperture Radar (PolSAR) images by means of contrast measures that can be used as test statistics. Due to the phenomenon…

统计方法学 · 统计学 2014-02-11 A. C. Frery , A. D. C. Nascimento , R. J. Cintra

The pixel percentage belonging to the user defined area that are assigned to cluster in a confusion matrix for RADARSAT-2 over Vancouver area has been analysed for classification. In this study, supervised Wishart and Support Vector Machine…

计算机视觉与模式识别 · 计算机科学 2016-08-02 Abhishek Maity

Support Vector Machine (SVM) is a robust machine learning algorithm with broad applications in classification, regression, and outlier detection. SVM requires tuning the regularization parameter (RP) which controls the model capacity and…

机器学习 · 统计学 2023-05-18 Mahdi Shamsi , Soosan Beheshti

Polarimetric synthetic aperture radar (PolSAR) image segmentation is currently of great importance in image processing for remote sensing applications. However, it is a challenging task due to two main reasons. Firstly, the label…

计算机视觉与模式识别 · 计算机科学 2020-08-26 Haixia Bi , Lin Xu , Xiangyong Cao , Yong Xue , Zongben Xu

We enlarge the number of available functional depths by introducing the kernelized functional spatial depth (KFSD). KFSD is a local-oriented and kernel-based version of the recently proposed functional spatial depth (FSD) that may be useful…

统计方法学 · 统计学 2015-01-09 Carlo Sguera , Pedro Galeano , Rosa Lillo

We present a kernel-based stochastic approximation (KBSA) framework for solving contextual stochastic optimization problems with differentiable objective functions. The framework only relies on system output estimates and can be applied to…

最优化与控制 · 数学 2026-05-26 Hao Cao , Jian-Qiang Hu , Jiaqiao Hu

In this paper, we introduce an iterative speckle filtering method for polarimetric SAR (PolSAR) images based on the bilateral filter. To locally adapt to the spatial structure of images, this filter relies on pixel similarities in both…

计算机视觉与模式识别 · 计算机科学 2013-11-04 Olivier D'Hondt , Stéphane Guillaso , Olaf Hellwich

Weakly Supervised Semantic Segmentation (WSSS) is a challenging task aiming to learn the segmentation labels from class-level labels. In the literature, exploiting the information obtained from Class Activation Maps (CAMs) is widely used…

计算机视觉与模式识别 · 计算机科学 2022-11-24 Cenk Bircanoglu , Nafiz Arica

Most semantic segmentation models treat semantic segmentation as a pixel-wise classification task and use a pixel-wise classification error as their optimization criterions. However, the pixel-wise error ignores the strong dependencies…

计算机视觉与模式识别 · 计算机科学 2019-10-22 Shuai Zhao , Boxi Wu , Wenqing Chu , Yao Hu , Deng Cai