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Current anomaly detection algorithms are typically challenged by either accuracy or efficiency. More accurate nonlinear detectors are typically slow and not scalable. In this letter, we propose two families of techniques to improve the…

计算机视觉与模式识别 · 计算机科学 2021-02-24 José A. Padrón Hidalgo , Adrián Pérez-Suay , Fatih Nar , Gustau Camps-Valls

Simulating a Gaussian process requires sampling from a high-dimensional Gaussian distribution, which scales cubically with the number of sample locations. Spectral methods address this challenge by exploiting the Fourier representation,…

机器学习 · 统计学 2026-02-27 Arsalan Jawaid , Abdullah Karatas , Jörg Seewig

The method of random projection (RP) is the standard technique in machine learning and many other areas, for dimensionality reduction, approximate near neighbor search, compressed sensing, etc. Basically, RP provides a simple and effective…

机器学习 · 统计学 2021-02-26 Xiaoyun Li , Ping Li

Random Fourier features is one of the most popular techniques for scaling up kernel methods, such as kernel ridge regression. However, despite impressive empirical results, the statistical properties of random Fourier features are still not…

机器学习 · 计算机科学 2018-05-22 Haim Avron , Michael Kapralov , Cameron Musco , Christopher Musco , Ameya Velingker , Amir Zandieh

Current remote sensing image classification problems have to deal with an unprecedented amount of heterogeneous and complex data sources. Upcoming missions will soon provide large data streams that will make land cover/use classification…

机器学习 · 计算机科学 2017-10-04 Pablo Morales-Alvarez , Adrian Perez-Suay , Rafael Molina , Gustau Camps-Valls

This work addresses the problem of range-Doppler multiple target detection in a radar system in the presence of slow-time correlated and heavy-tailed distributed clutter. Conventional target detection algorithms assume Gaussian-distributed…

信号处理 · 电气工程与系统科学 2023-04-11 Stefan Feintuch , Haim H. Permuter , Igal Bilik , Joseph Tabrikian

Kernel methods give powerful, flexible, and theoretically grounded approaches to solving many problems in machine learning. The standard approach, however, requires pairwise evaluations of a kernel function, which can lead to scalability…

机器学习 · 计算机科学 2021-04-08 Danica J. Sutherland , Jeff Schneider

Kernel methods are an incredibly popular technique for extending linear models to non-linear problems via a mapping to an implicit, high-dimensional feature space. While kernel methods are computationally cheaper than an explicit feature…

机器学习 · 统计学 2019-02-26 Philip Milton , Emanuele Giorgi , Samir Bhatt

Dealing with land cover classification of the new image sources has also turned to be a complex problem requiring large amount of memory and processing time. In order to cope with these problems, statistical learning has greatly helped in…

Approximations based on random Fourier features have recently emerged as an efficient and formally consistent methodology to design large-scale kernel machines. By expressing the kernel as a Fourier expansion, features are generated based…

计算机视觉与模式识别 · 计算机科学 2012-03-08 Eduard Gabriel Băzăvan , Fuxin Li , Cristian Sminchisescu

Online topology estimation of graph-connected time series is challenging, especially since the causal dependencies in many real-world networks are nonlinear. In this paper, we propose a kernel-based algorithm for graph topology estimation.…

机器学习 · 计算机科学 2021-10-20 Rohan Money , Joshin Krishnan , Baltasar Beferull-Lozano

Kernel methods are powerful and flexible approach to solve many problems in machine learning. Due to the pairwise evaluations in kernel methods, the complexity of kernel computation grows as the data size increases; thus the applicability…

机器学习 · 计算机科学 2017-11-28 Bharath Bhushan Damodaran , Nicolas Courty , Philippe-Henri Gosselin

An accurate sea clutter distribution is crucial for decision region determination when detecting sea-surface floating targets. However, traditional parametric models possibly have a considerable gap to the realistic distribution of sea…

应用统计 · 统计学 2018-09-10 Hongkuan Zhou , Yuzhou Li , Tao Jiang

The problem of radar detection in compound Gaussian clutter when a radar signature is not completely known has not been considered yet and is addressed in this paper. We proposed a robust technique to detect, based on the generalized…

信号处理 · 电气工程与系统科学 2017-10-10 Mai P. T. Nguyen , I. Song

In many remote sensing applications one wants to estimate variables or parameters of interest from observations. When the target variable is available at a resolution that matches the remote sensing observations, standard algorithms such as…

Kernel methods form a powerful, versatile, and theoretically-grounded unifying framework to solve nonlinear problems in signal processing and machine learning. The standard approach relies on the kernel trick to perform pairwise evaluations…

机器学习 · 计算机科学 2019-12-11 Kan Li , Jose C. Principe

Kernel methods represent one of the most powerful tools in machine learning to tackle problems expressed in terms of function values and derivatives due to their capability to represent and model complex relations. While these methods show…

统计理论 · 数学 2015-11-06 Bharath K. Sriperumbudur , Zoltan Szabo

A fundamental drawback of kernel-based statistical models is their limited scalability to large data sets, which requires resorting to approximations. In this work, we focus on the popular Gaussian kernel and on techniques to linearize…

机器学习 · 统计学 2022-04-13 Jonas Wacker , Maurizio Filippone

Kernel methods provide a flexible and theoretically grounded approach to nonlinear and nonparametric learning. While memory and run-time requirements hinder their applicability to large datasets, many low-rank kernel approximations, such as…

机器学习 · 统计学 2024-04-15 Mateus P. Otto , Rafael Izbicki

We propose a novel approach for pixel classification in hyperspectral images, leveraging on both the spatial and spectral information in the data. The introduced method relies on a recently proposed framework for learning on distributions…

计算机视觉与模式识别 · 计算机科学 2016-05-31 Gianni Franchi , Jesus Angulo , Dino Sejdinovic
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