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In statistical machine learning, kernel methods allow to consider infinite dimensional feature spaces with a computational cost that only depends on the number of observations. This is usually done by solving an optimization problem…

Optimization and Control · Mathematics 2019-01-17 Guillaume Garrigos , Lorenzo Rosasco , Silvia Villa

Image inpainting techniques have shown promising improvement with the assistance of generative adversarial networks (GANs) recently. However, most of them often suffered from completed results with unreasonable structure or blurriness. To…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Zheng Hui , Jie Li , Xiumei Wang , Xinbo Gao

In the feature classification domain, the choice of data affects widely the results. For the Hyperspectral image, the bands dont all contain the information; some bands are irrelevant like those affected by various atmospheric effects, see…

Computer Vision and Pattern Recognition · Computer Science 2012-11-02 Elkebir Sarhrouni , Ahmed Hammouch , Driss Aboutajdine

In this paper, we analyze the spatial information of deep features, and propose two complementary regressions for robust visual tracking. First, we propose a kernelized ridge regression model wherein the kernel value is defined as the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-25 Chong Sun , Dong Wang , Huchuan Lu , Ming-Hsuan Yang

The exponentially increasing use of moving platforms for video capture introduces the urgent need to develop the general background subtraction algorithms with the capability to deal with the moving background. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 Yizhe Zhu , Ahmed Elgammal

The empirical success of deep convolutional networks on tasks involving high-dimensional data such as images or audio suggests that they can efficiently approximate certain functions that are well-suited for such tasks. In this paper, we…

Machine Learning · Statistics 2022-03-22 Alberto Bietti

One important preprocessing step in the analysis of microarray data is background subtraction. In high-density oligonucleotide arrays this is recognized as a crucial step for the global performance of the data analysis from raw intensities…

Quantitative Methods · Quantitative Biology 2009-12-08 K. Myriam Kroll , Gerard T. Barkema , Enrico Carlon

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…

Machine Learning · Computer Science 2018-05-22 Haim Avron , Michael Kapralov , Cameron Musco , Christopher Musco , Ameya Velingker , Amir Zandieh

Strictly proper kernel scores are well-known tool in probabilistic forecasting, while characteristic kernels have been extensively investigated in the machine learning literature. We first show that both notions coincide, so that insights…

Functional Analysis · Mathematics 2017-12-15 Ingo Steinwart , Johanna F. Ziegel

Multiple kernel learning algorithms are proposed to combine kernels in order to obtain a better similarity measure or to integrate feature representations coming from different data sources. Most of the previous research on such methods is…

Machine Learning · Computer Science 2012-07-03 Mehmet Gonen

The density estimation is one of the core problems in statistics. Despite this, existing techniques like maximum likelihood estimation are computationally inefficient due to the intractability of the normalizing constant. For this reason an…

Machine Learning · Computer Science 2021-01-14 Tsimboy Olga , Yermek Kapushev , Evgeny Burnaev , Ivan Oseledets

In recent years, geotagged social media has become popular as a novel source for geographic knowledge discovery. Ground-level images and videos provide a different perspective than overhead imagery and can be applied to a range of…

Computer Vision and Pattern Recognition · Computer Science 2018-05-07 Xueqing Deng , Yi Zhu , Shawn Newsam

As a powerful statistical image modeling technique, sparse representation has been successfully used in various image restoration applications. The success of sparse representation owes to the development of l1-norm optimization techniques,…

Computer Vision and Pattern Recognition · Computer Science 2015-05-20 Weisheng Dong , Lei Zhang , Guangming Shi , Xiaolin Wu

This paper investigates a novel a-posteriori variance reduction approach in Monte Carlo image synthesis. Unlike most established methods based on lateral filtering in the image space, our proposition is to produce the best possible estimate…

Graphics · Computer Science 2019-06-04 Oskar Elek , Manu M. Thomas , Angus Forbes

This paper presents a new Bayesian collaborative sparse regression method for linear unmixing of hyperspectral images. Our contribution is twofold; first, we propose a new Bayesian model for structured sparse regression in which the…

Computation · Statistics 2023-07-19 Yoann Altmann , Marcelo Pereyra , Jose Bioucas-Dias

Image compositing plays a vital role in photo editing. After inserting a foreground object into another background image, the composite image may look unnatural and inharmonious. When the foreground is photorealistic and the background is…

Computer Vision and Pattern Recognition · Computer Science 2023-11-16 Xudong Wang , Li Niu , Junyan Cao , Yan Hong , Liqing Zhang

Modeling multiple sampling densities within a hierarchical framework enables borrowing of information across samples. These density random effects can act as kernels in latent variable models to represent exchangeable subgroups or clusters.…

Methodology · Statistics 2026-05-19 Yuliang Xu , Kaixuan Luo , Li Ma

We propose a multiple-kernel local-patch descriptor based on efficient match kernels from pixel gradients. It combines two parametrizations of gradient position and direction, each parametrization provides robustness to a different type of…

Computer Vision and Pattern Recognition · Computer Science 2018-11-28 Arun Mukundan , Giorgos Tolias , Andrei Bursuc , Hervé Jégou , Ondřej Chum

Deep Metric Learning trains a neural network to map input images to a lower-dimensional embedding space such that similar images are closer together than dissimilar images. When used for item retrieval, a query image is embedded using the…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Konstantin Kobs , Andreas Hotho

Approximation of non-linear kernels using random feature maps has become a powerful technique for scaling kernel methods to large datasets. We propose $\textit{Tensor Sketch}$, an efficient random feature map for approximating polynomial…

Data Structures and Algorithms · Computer Science 2025-05-20 Ninh Pham , Rasmus Pagh