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By the connection graph we mean an underlying weighted graph with a connection which associates edge set with an orthogonal group. This paper centers its investigation on the connection heat kernels on connection lattices and connection…

Combinatorics · Mathematics 2024-04-02 Yong Lin , Shi Wan

Graph Neural Networks (GNNs) have emerged as one of the leading approaches for machine learning on graph-structured data. Despite their great success, critical computational challenges such as over-smoothing, over-squashing, and limited…

Machine Learning · Computer Science 2023-09-14 Zhiqi Shao , Dai Shi , Andi Han , Yi Guo , Qibin Zhao , Junbin Gao

Graph kernels are widely used for measuring the similarity between graphs. Many existing graph kernels, which focus on local patterns within graphs rather than their global properties, suffer from significant structure information loss when…

Machine Learning · Computer Science 2019-12-02 Lingfei Wu , Ian En-Hsu Yen , Zhen Zhang , Kun Xu , Liang Zhao , Xi Peng , Yinglong Xia , Charu Aggarwal

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

Pulmonary diseases rank prominently among the principal causes of death worldwide. Curing them will require, among other things, a better understanding of the complex 3D tree-shaped structures within the pulmonary system, such as airways,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-21 Kangxian Xie , Jiancheng Yang , Donglai Wei , Ziqiao Weng , Pascal Fua

Pedestrian detection in thermal infrared images poses unique challenges because of the low resolution and noisy nature of the image. Here we propose a mid-level attribute in the form of multidimensional template, or tensor, using Local…

Computer Vision and Pattern Recognition · Computer Science 2017-08-02 Sujoy Kumar Biswas , Peyman Milanfar

Unlike on images, semantic learning on 3D point clouds using a deep network is challenging due to the naturally unordered data structure. Among existing works, PointNet has achieved promising results by directly learning on point sets.…

Computer Vision and Pattern Recognition · Computer Science 2018-04-05 Yiru Shen , Chen Feng , Yaoqing Yang , Dong Tian

An efficient advanced numerical model for mapping the distribution of the buried tree roots is presented. It not only simplify the complicate root branches to an easy manipulated model, but also grasp the main structure of tree roots…

Geophysics · Physics 2025-01-16 Xiaolong Liang , Xiaoping Wu

Usually, lesions are not isolated but are associated with the surrounding tissues. For example, the growth of a tumour can depend on or infiltrate into the surrounding tissues. Due to the pathological nature of the lesions, it is…

Image and Video Processing · Electrical Eng. & Systems 2022-10-12 Lin Wang , Xiufen Ye , Donghao Zhang , Wanji He , Lie Ju , Yi Luo , Huan Luo , Xin Wang , Wei Feng , Kaimin Song , Xin Zhao , Zongyuan Ge

A key question in modern statistics is how to make fast and reliable inferences for complex, high-dimensional data. While there has been much interest in sparse techniques, current methods do not generalize well to data with nonlinear…

Methodology · Statistics 2016-11-01 Ann B. Lee , Rafael Izbicki

In this paper, we propose sparse coding-based approaches for segmentation of tumor regions from MR images. Sparse coding with data-adapted dictionaries has been successfully employed in several image recovery and vision problems. The…

Computer Vision and Pattern Recognition · Computer Science 2013-03-12 Jayaraman J. Thiagarajan , Karthikeyan Natesan Ramamurthy , Deepta Rajan , Anup Puri , David Frakes , Andreas Spanias

Recent microscopy imaging techniques allow to precisely analyze cell morphology in 3D image data. To process the vast amount of image data generated by current digitized imaging techniques, automated approaches are demanded more than ever.…

Computer Vision and Pattern Recognition · Computer Science 2020-10-26 Dennis Eschweiler , Malte Rethwisch , Simon Koppers , Johannes Stegmaier

We present Neural Kernel Fields: a novel method for reconstructing implicit 3D shapes based on a learned kernel ridge regression. Our technique achieves state-of-the-art results when reconstructing 3D objects and large scenes from sparse…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Francis Williams , Zan Gojcic , Sameh Khamis , Denis Zorin , Joan Bruna , Sanja Fidler , Or Litany

Optical coherence tomography (OCT) is a powerful and noninvasive method for retinal imaging. In this paper, we introduce a fast segmentation method based on a new variant of spectral graph theory named diffusion maps. The research is…

Computer Vision and Pattern Recognition · Computer Science 2012-10-09 Raheleh Kafieh , Hossein Rabbani , Michael D. Abramoff , Milan Sonka

We introduce an alternative method for the calculation of sky maps from data taken with gamma-ray telescopes. In contrast to the established method of smoothing the 2D histogram of reconstructed event directions with a static kernel, we…

High Energy Astrophysical Phenomena · Physics 2024-01-30 M. Holler , T. Mitterdorfer , S. Panny

Superpixels are widely used in computer vision to simplify image representation and reduce computational complexity. While traditional methods rely on low-level features, deep learning-based approaches leverage high-level features but also…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 Julien Walther , Rémi Giraud , Michaël Clément

The work proposes an image segmentation algorithm that isolates slender regions in three-dimensional microstructures. Characterizing slender regions in material microstructures is an extremely important aspect in material science because…

Data Analysis, Statistics and Probability · Physics 2025-03-13 Vinit Vijay Deshpande , Romana Piat

We present a data-driven framework for the modeling of nonlocal heat transport in plasmas using a nonlocal theory informed neural network trained on kinetic Particle-in-Cell simulations that span both local and nonlocal regimes. The model…

In this paper, we consider the problem of estimating the covariance kernel and its eigenvalues and eigenfunctions from sparse, irregularly observed, noise corrupted and (possibly) correlated functional data. We present a method based on…

Methodology · Statistics 2008-07-09 Debashis Paul , Jie Peng

Feature descriptors of point clouds are used in several applications, such as registration and part segmentation of 3D point clouds. Learning discriminative representations of local geometric features is unquestionably the most important…

Computer Vision and Pattern Recognition · Computer Science 2022-09-01 Seunghwan Jung , Yeong-Gil Shin , Minyoung Chung