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This article introduces two absolutely continuous global-local shrinkage priors to enable stochastic variable selection in the context of high-dimensional matrix exponential spatial specifications. Existing approaches as a means to dealing…

Econometrics · Economics 2019-02-06 Michael Pfarrhofer , Philipp Piribauer

In recent years, shrinkage priors have received much attention in high-dimensional data analysis from a Bayesian perspective. Compared with widely used spike-and-slab priors, shrinkage priors have better computational efficiency. But the…

Statistics Theory · Mathematics 2020-01-16 Ruoyang Zhang , Malay Ghosh

A new shrinkage-based construction is developed for a compressible vector $\boldsymbol{x}\in\mathbb{R}^n$, for cases in which the components of $\xv$ are naturally associated with a tree structure. Important examples are when $\xv$…

Machine Learning · Statistics 2014-01-14 Xin Yuan , Vinayak Rao , Shaobo Han , Lawrence Carin

We propose a flexible class of models based on scale mixture of uniform distributions to construct shrinkage priors for covariance matrix estimation. This new class of priors enjoys a number of advantages over the traditional scale mixture…

Methodology · Statistics 2011-10-07 Hao Wang , Natesh S. Pillai

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

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…

Image subtraction in astronomy is a tool for transient object discovery such as asteroids, extra-solar planets and supernovae. To match point spread functions (PSFs) between images of the same field taken at different times a convolution…

Instrumentation and Methods for Astrophysics · Physics 2013-05-30 Steven Hartung , Hemant Shukla , J. Patrick Miller , Carlton Pennypacker

Multiple kernel learning (MKL) algorithms combine different base kernels to obtain a more efficient representation in the feature space. Focusing on discriminative tasks, MKL has been used successfully for feature selection and finding the…

Machine Learning · Computer Science 2019-03-14 Babak Hosseini , Barbara Hammer

In this paper, we study the problem of sparse multiple kernel learning (MKL), where the goal is to efficiently learn a combination of a fixed small number of kernels from a large pool that could lead to a kernel classifier with a small…

Machine Learning · Computer Science 2013-02-05 Rong Jin , Tianbao Yang , Mehrdad Mahdavi

Motivated by the needs of selecting important features for massive neuroimaging data, we propose a spatially varying coefficient model (SVCMs) with sparsity and piecewise smoothness imposed on the coefficient functions. A new class of…

Methodology · Statistics 2015-05-01 Ran Shi , Jian Kang

While scale-invariant modeling has substantially boosted the performance of visual recognition tasks, it remains largely under-explored in deep networks based image restoration. Naively applying those scale-invariant techniques (e.g.…

Computer Vision and Pattern Recognition · Computer Science 2019-12-20 Yuchen Fan , Jiahui Yu , Ding Liu , Thomas S. Huang

Image convolution with complex kernels is a fundamental operation in photography, scientific imaging, and animation effects, yet direct dense convolution is computationally prohibitive on resource-limited devices. Existing approximations,…

Graphics · Computer Science 2026-05-20 Zhizhen Wu , Zhe Cao , Yuchi Huo

Density estimation in high-dimensional settings is an important and challenging statistical problem.Traditional methods based on kernel smoothing are inefficient in high dimensions due to the difficulties in specifying appropriate…

Machine Learning · Statistics 2026-05-14 Ruitong Zhang , Ke Deng

Semantic segmentation of remote sensing imagery is fundamental to Earth observation. Achieving accurate results requires integrating not only optical images but also physical variables such as the Digital Elevation Model (DEM), Synthetic…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Yuxi Lu , Kunqi Li , Zhidong Li , Xiaohan Su , Biao Wu , Chenya Huang , Bin Liang

This work develops a multivariate extension of the Fixed Rank Kriging (FRK) framework for spatial prediction in settings where multiple spatial processes may provide complementary information. The goal is to preserve the computational…

Methodology · Statistics 2026-03-24 Gaia Caringi , Piercesare Secchi

Decision forests induce supervised similarities through the partition structure of their trees. Yet forest proximity computation is still often treated as a quadratic operation in the number of samples, which limits scalability and…

Machine Learning · Computer Science 2026-04-21 Adrien Aumon , Guy Wolf , Kevin R. Moon , Jake S. Rhodes

We propose a novel approach to enhance the discriminability of Convolutional Neural Networks (CNN). The key idea is to build a tree structure that could progressively learn fine-grained features to distinguish a subset of classes, by…

Computer Vision and Pattern Recognition · Computer Science 2017-09-25 Zhenhua Wang , Xingxing Wang , Gang Wang

Global convolutions have shown increasing promise as powerful general-purpose sequence models. However, training long convolutions is challenging, and kernel parameterizations must be able to learn long-range dependencies without…

Machine Learning · Computer Science 2024-08-20 Harry Jake Cunningham , Giorgio Giannone , Mingtian Zhang , Marc Peter Deisenroth

High-dimensional spatially correlated covariates are common in regression models encountered in environmental sciences and other fields. In such models, the regression coefficients often exhibit a sparse structure with spatial dependence.…

Methodology · Statistics 2026-05-08 Zihan Zhu , Xueying Tang , Shuang Zhou

Recent work on background subtraction has shown developments on two major fronts. In one, there has been increasing sophistication of probabilistic models, from mixtures of Gaussians at each pixel [7], to kernel density estimates at each…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Manjunath Narayana , Allen Hanson , Erik Learned-Miller
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