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Metric data plays an important role in various settings such as metric-based indexing, clustering, classification, and approximation algorithms in general. Due to measurement error, noise, or an inability to completely gather all the data,…

Computational Geometry · Computer Science 2018-07-24 Chenglin Fan , Benjamin Raichel , Gregory Van Buskirk

Recognition of evolutionary units (species, populations) requires integrating several kinds of data such as genetic or phenotypic markers or spatial information, in order to get a comprehensive view concerning the differentiation of the…

Populations and Evolution · Quantitative Biology 2011-12-22 Gilles Guillot , Sabrina Renaud , Ronan Ledevin , Joahn Michaux , Julien Claude

Drone-view geo-localization (DVGL) aims to match images of the same geographic location captured from drone and satellite perspectives. Despite recent advances, DVGL remains challenging due to significant appearance changes and spatial…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Ke Li , Di Wang , Xiaowei Wang , Zhihong Wu , Yiming Zhang , Yifeng Wang , Quan Wang

Convolutional Neural Networks (CNNs) have made significant progress on several computer vision benchmarks, but are fraught with numerous non-human biases such as vulnerability to adversarial samples. Their lack of explainability makes…

Computer Vision and Pattern Recognition · Computer Science 2020-12-08 Malhar Jere , Maghav Kumar , Farinaz Koushanfar

Stochastic Gradient Descent (SGD) is arguably the most important single algorithm in modern machine learning. Although SGD with unbiased gradient estimators has been studied extensively over at least half a century, SGD variants relying on…

Machine Learning · Computer Science 2023-05-26 Yury Demidovich , Grigory Malinovsky , Igor Sokolov , Peter Richtárik

One of the challenges with functional data is incorporating spatial structure, or local correlation, into the analysis. This structure is inherent in the output from an increasing number of biomedical technologies, and a functional linear…

Applications · Statistics 2011-11-07 Timothy W. Randolph , Jaroslaw Harezlak , Ziding Feng

Despite progress in the rapidly developing field of geometric deep learning, performing statistical analysis on geometric data--where each observation is a shape such as a curve, graph, or surface--remains challenging due to the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Emmanuel Hartman , Nicolas Charon

This paper presents GeoContrastNet, a language-agnostic framework to structured document understanding (DU) by integrating a contrastive learning objective with graph attention networks (GATs), emphasizing the significant role of geometric…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Nil Biescas , Carlos Boned , Josep Lladós , Sanket Biswas

Generalized zero-shot semantic segmentation (GZS3) aims to achieve the human-level capability of segmenting not only seen classes but also novel class regions unseen in the training data through introducing the bridge of semantic…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Xiaoqing Guo , Wuyang Li , Yixuan Yuan

Graph convolution (GConv) is a widely used technique that has been demonstrated to be extremely effective for graph learning applications, most notably node categorization. On the other hand, many GConv-based models do not quantify the…

Machine Learning · Computer Science 2022-07-27 Zhiqian Chen , Zonghan Zhang

The randomized singular value decomposition (SVD) is a popular and effective algorithm for computing a near-best rank $k$ approximation of a matrix $A$ using matrix-vector products with standard Gaussian vectors. Here, we generalize the…

Numerical Analysis · Mathematics 2022-01-24 Nicolas Boullé , Alex Townsend

Recognizing precise geometrical configurations of groups of objects is a key capability of human spatial cognition, yet little studied in the deep learning literature so far. In particular, a fundamental problem is how a machine can learn…

Machine Learning · Computer Science 2020-07-20 Laetitia Teodorescu , Katja Hofmann , Pierre-Yves Oudeyer

We present GTT-Net, a supervised learning framework for the reconstruction of sparse dynamic 3D geometry. We build on a graph-theoretic formulation of the generalized trajectory triangulation problem, where non-concurrent multi-view imaging…

Computer Vision and Pattern Recognition · Computer Science 2021-09-09 Xiangyu Xu , Enrique Dunn

Industrial quality inspection plays a critical role in modern manufacturing by identifying defective products during production. While single-modality approaches using either 3D point clouds or 2D RGB images suffer from information…

Image and Video Processing · Electrical Eng. & Systems 2025-07-30 Chengyu Tao , Xuanming Cao , Juan Du

Graph Neural Networks (GNNs) have emerged as the de facto standard for representation learning on graphs, owing to their ability to effectively integrate graph topology and node attributes. However, the inherent suboptimal nature of node…

Machine Learning · Computer Science 2023-12-27 Zhiyao Zhou , Sheng Zhou , Bochao Mao , Xuanyi Zhou , Jiawei Chen , Qiaoyu Tan , Daochen Zha , Yan Feng , Chun Chen , Can Wang

The relevance and importance of contextualizing data analytics is described. Qualitative characteristics might form the context of quantitative analysis. Topics that are at issue include: contrast, baselining, secondary data sources,…

Artificial Intelligence · Computer Science 2023-06-22 Fionn Murtagh , Mohsen Farid

A substantial body of health research demonstrates a strong link between neighborhood environments and health outcomes. Recently, there has been increasing interest in leveraging advances in computer vision to enable large-scale, systematic…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Xiaoya Tang , Xiaohe Yue , Heran Mane , Dapeng Li , Quynh Nguyen , Tolga Tasdizen

Visual similarities discovery (VSD) is an important task with broad e-commerce applications. Given an image of a certain object, the goal of VSD is to retrieve images of different objects with high perceptual visual similarity. Although…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Oren Barkan , Tal Reiss , Jonathan Weill , Ori Katz , Roy Hirsch , Itzik Malkiel , Noam Koenigstein

Many successful learning algorithms have been recently developed to represent graph-structured data. For example, Graph Neural Networks (GNNs) have achieved considerable successes in various tasks such as node classification, graph…

Machine Learning · Computer Science 2022-04-12 Razieh Ghiasi , Hossein Amirkhani , Alireza Bosaghzadeh

The Randomized Singular Value Decomposition (RSVD) is a widely used algorithm for efficiently computing low-rank approximations of large matrices, without the need to construct a full-blown SVD. Of interest, of course, is the approximation…

Numerical Analysis · Mathematics 2025-10-09 Danil Akhtiamov , Reza Ghane , Babak Hassibi