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In a general context of positive definite kernels $k$, we develop tools and algorithms for sampling in reproducing kernel Hilbert space $\mathscr{H}$ (RKHS). With reference to these RKHSs, our results allow inference from samples; more…

Functional Analysis · Mathematics 2016-01-28 Palle Jorgensen , Feng Tian

In the context of difference image analysis (DIA), we present a new method for determining the convolution kernel matching a pair of images of the same field. Unlike the standard DIA technique which involves modelling the kernel as a linear…

Astrophysics · Physics 2009-11-13 D. M. Bramich

The recent developments of basis pursuit and compressed sensing seek to extract information from as few samples as possible. In such applications, since the number of samples is restricted, one should deploy the sampling points wisely. We…

Information Theory · Computer Science 2012-07-26 Rui Wang , Haizhang Zhang

This work proposed kernel selection approaches for probabilistic classifiers based on features produced by the convolutional encoder of a variational autoencoder. Particularly, the developed methodologies allow the selection of the most…

Machine Learning · Computer Science 2025-08-05 Fábio Mendonça , Sheikh Shanawaz Mostafa , Fernando Morgado-Dias , Antonio G. Ravelo-García

In the compressive spectral imaging (CSI) framework, different architectures have been proposed to recover high-resolution spectral images from compressive measurements. Since CSI architectures compactly capture the relevant information of…

Image and Video Processing · Electrical Eng. & Systems 2020-12-02 Juan Marcos Ramirez , Jose Ignacio Martinez-Torre , Henry Arguello

In low light or short-exposure photography the image is often corrupted by noise. While longer exposure helps reduce the noise, it can produce blurry results due to the object and camera motion. The reconstruction of a noise-less image is…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Talmaj Marinč , Vignesh Srinivasan , Serhan Gül , Cornelius Hellge , Wojciech Samek

In complex visual recognition tasks it is typical to adopt multiple descriptors, that describe different aspects of the images, for obtaining an improved recognition performance. Descriptors that have diverse forms can be fused into a…

Computer Vision and Pattern Recognition · Computer Science 2015-06-15 Jayaraman J. Thiagarajan , Karthikeyan Natesan Ramamurthy , Andreas Spanias

3D panoptic segmentation is a challenging perception task that requires both semantic segmentation and instance segmentation. In this task, we notice that images could provide rich texture, color, and discriminative information, which can…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Zhiwei Zhang , Zhizhong Zhang , Qian Yu , Ran Yi , Yuan Xie , Lizhuang Ma

Pansharpening seeks to fuse high-resolution panchromatic (PAN) and low-resolution multispectral (LRMS) images into a single image with both fine spatial and rich spectral detail. Despite progress in deep learning-based approaches, existing…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Hancong Jin , Zihan Cao , Liang-jian Deng , Jingjing Li

A significant challenge in object detection is accurate identification of an object's position in image space, whereas one algorithm with one set of parameters is usually not enough, and the fusion of multiple algorithms and/or parameters…

Computer Vision and Pattern Recognition · Computer Science 2018-03-20 Pan Wei , John E. Ball , Derek T. Anderson

Reduced modeling in high-dimensional reproducing kernel Hilbert spaces offers the opportunity to approximate efficiently non-linear dynamics. In this work, we devise an algorithm based on low rank constraint optimization and kernel-based…

Machine Learning · Computer Science 2020-02-23 Patrick Heas , Cedric Herzet , Benoit Combes

Measuring and testing dependence between complex objects is of great importance in modern statistics. Most existing work relied on the distance between random variables, which inevitably required the moment conditions to guarantee the…

Methodology · Statistics 2023-04-19 Yilin Zhang , Songshan Yang

Feature extraction and dimensionality reduction are important tasks in many fields of science dealing with signal processing and analysis. The relevance of these techniques is increasing as current sensory devices are developed with ever…

Machine Learning · Statistics 2013-10-21 Jerónimo Arenas-García , Kaare Brandt Petersen , Gustavo Camps-Valls , Lars Kai Hansen

It is proven that encoding images and videos through Symmetric Positive Definite (SPD) matrices, and considering the Riemannian geometry of the resulting space, can lead to increased classification performance. Taking into account manifold…

Computer Vision and Pattern Recognition · Computer Science 2016-03-16 Azadeh Alavi , Vishal M Patel , Rama Chellappa

Most previous works of outdoor instance segmentation for images only use color information. We explore a novel direction of sensor fusion to exploit stereo cameras. Geometric information from disparities helps separate overlapping objects…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Cho-Ying Wu , Xiaoyan Hu , Michael Happold , Qiangeng Xu , Ulrich Neumann

Deep learning based object detection has achieved great success. However, these supervised learning methods are data-hungry and time-consuming. This restriction makes them unsuitable for limited data and urgent tasks, especially in the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-05 Tengfei Zhang , Yue Zhang , Xian Sun , Menglong Yan , Yaoling Wang , Kun Fu

In the realm of aerial image analysis, object detection plays a pivotal role, with significant implications for areas such as remote sensing, urban planning, and disaster management. This study addresses the inherent challenges in this…

Computer Vision and Pattern Recognition · Computer Science 2023-11-23 Ahmed Sharshar , Aleksandr Matsun

Kernel based methods have shown effective performance in many remote sensing classification tasks. However their performance significantly depend on its hyper-parameters. The conventional technique to estimate the parameter comes with high…

Machine Learning · Statistics 2018-04-17 Bharath Bhushan Damodaran

We present a simple but powerful reinterpretation of kernelized locality-sensitive hashing (KLSH), a general and popular method developed in the vision community for performing approximate nearest-neighbor searches in an arbitrary…

Computer Vision and Pattern Recognition · Computer Science 2014-11-18 Ke Jiang , Qichao Que , Brian Kulis

Presented is a novel way to combine snapshot compressive imaging and lateral shearing interferometry in order to capture the spatio-spectral phase of an ultrashort laser pulse in a single shot. A deep unrolling algorithm is utilised for the…