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We explore the use of graph neural networks (GNNs) to model spatial processes in which there is no a priori graphical structure. Similar to finite element analysis, we assign nodes of a GNN to spatial locations and use a computational…

Machine Learning · Computer Science 2019-11-19 Ferran Alet , Adarsh K. Jeewajee , Maria Bauza , Alberto Rodriguez , Tomas Lozano-Perez , Leslie Pack Kaelbling

Metasurfaces have become a promising means for manipulating optical wavefronts in flat and high-performance optical devices. Conventional metasurface device design relies on trial-and-error methods to obtain target electromagnetic (EM)…

Meshing complex engineering domains is a challenging task. Arbitrary polyhedral meshes can provide the much needed flexibility in automated discretization of such domains. The geometric property of the polyhedral meshes such as the…

Optimization and Control · Mathematics 2015-07-22 Arun L. Gain , Glaucio H. Paulino , Leonardo Duarte , Ivan F. M. Menezes

Topology change is a challenging problem for 4D reconstruction of dynamic scenes. In the classic volumetric fusion-based framework, a mesh is usually extracted from the TSDF volume as the canonical surface representation to help estimating…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Chao Li , Xiaohu Guo

This study explores the potential of graph neural networks (GNNs) to enhance semantic segmentation across diverse image modalities. We evaluate the effectiveness of a novel GNN-based U-Net architecture on three distinct datasets: PascalVOC,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Aryan Singh , Pepijn Van de Ven , Ciarán Eising , Patrick Denny

Using advanced machine learning techniques, we developed a method for reconstructing precisely the arrival direction and energy of ultra-high-energy cosmic rays from the voltage traces they induced on ground-based radio detector arrays. In…

Instrumentation and Methods for Astrophysics · Physics 2026-02-27 Arsène Ferrière , Aurélien Benoit-Lévy , Olivier Martineau-Huynh , Matías Tueros

Intrinsic image decomposition is the process of recovering the image formation components (reflectance and shading) from an image. Previous methods employ either explicit priors to constrain the problem or implicit constraints as formulated…

Computer Vision and Pattern Recognition · Computer Science 2022-05-03 Partha Das , Sezer Karaoglu , Theo Gevers

Moir\'e structures in small-angle-twisted bilayers of two-dimensional semiconductors with a broken-symmetry interface form arrays of ferroelectric domains with periodically alternating out-of-plane polarization. Here, we propose a network…

Mesoscale and Nanoscale Physics · Physics 2022-02-08 V. V. Enaldiev , F. Ferreira , V. I. Fal'ko

Electrical Impedance Tomography (EIT) is a non-invasive medical imaging method that reconstructs electrical conductivity mediums from boundary voltage-current measurements, but its severe ill-posedness renders direct operator learning with…

Numerical Analysis · Mathematics 2026-01-14 Amit Bhat , Ke Chen , Chunmei Wang

Probabilistic graphical models with frustration exhibit rugged energy landscapes that trap iterative optimization dynamics. These landscapes are shaped not only by local interactions, but crucially also by the global loop structure of the…

Disordered Systems and Neural Networks · Physics 2026-02-03 Timothee Leleu , Sam Reifenstein , Atsushi Yamamura , Surya Ganguli

Graph-structured data is integral to many applications, prompting the development of various graph representation methods. Graph autoencoders (GAEs), in particular, reconstruct graph structures from node embeddings. Current GAE models…

Machine Learning · Computer Science 2024-10-07 Shijin Duan , Ruyi Ding , Jiaxing He , Aidong Adam Ding , Yunsi Fei , Xiaolin Xu

View-graph is an essential input to large-scale structure from motion (SfM) pipelines. Accuracy and efficiency of large-scale SfM is crucially dependent on the input view-graph. Inconsistent or inaccurate edges can lead to inferior or wrong…

Computer Vision and Pattern Recognition · Computer Science 2017-12-05 Rajvi Shah , Visesh Chari , P J Narayanan

Compressive sensing is an impressive approach for fast MRI. It aims at reconstructing MR image using only a few under-sampled data in k-space, enhancing the efficiency of the data acquisition. In this study, we propose to learn priors based…

Image and Video Processing · Electrical Eng. & Systems 2019-09-05 Siyuan Wang , Junjie Lv , Yuanyuan Hu , Dong Liang , Minghui Zhang , Qiegen Liu

Unsupervised attributed graph representation learning is challenging since both structural and feature information are required to be represented in the latent space. Existing methods concentrate on learning latent representation via…

Machine Learning · Computer Science 2021-04-28 Zelin Zang , Siyuan Li , Di Wu , Jianzhu Guo , Yongjie Xu , Stan Z. Li

Automatic image segmentation technology is critical to the visual analysis. The autoencoder architecture has satisfying performance in various image segmentation tasks. However, autoencoders based on convolutional neural networks (CNN) seem…

Computer Vision and Pattern Recognition · Computer Science 2022-08-22 Shiqiang Ma , Xuejian Li , Jijun Tang , Fei Guo

We propose a deep autoencoder with graph topology inference and filtering to achieve compact representations of unorganized 3D point clouds in an unsupervised manner. Many previous works discretize 3D points to voxels and then use…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Siheng Chen , Chaojing Duan , Yaoqing Yang , Duanshun Li , Chen Feng , Dong Tian

Meshes are widely used in 3D computer vision and graphics, but their irregular topology poses challenges in applying them to existing neural network architectures. Recent advances in mesh neural networks turn to remeshing and push the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Shengchao Yuan , Yishun Dou , Rui Shi , Bingbing Ni , Zhong Zheng

Discrete Morse theory has recently been applied in metric graph reconstruction from a given density function concentrated around an (unknown) underlying embedded graph. We propose a new noise model for the density function to reconstruct a…

Computational Geometry · Computer Science 2019-12-02 Brittany Terese Fasy , Sushovan Majhi , Carola Wenk

Recently there has been a significant effort to automate UV mapping, the process of mapping 3D-dimensional surfaces to the UV space while minimizing distortion and seam length. Although state-of-the-art methods, Autocuts and OptCuts,…

Graphics · Computer Science 2020-12-04 Fatemeh Teimury , Bruno Roy , Juan Sebastián Casallas , David MacDonald , Mark Coates

Reconstructing Portal Vein and Hepatic Vein trees from contrast enhanced abdominal CT scans is a prerequisite for preoperative liver surgery simulation. Existing deep learning based methods treat vascular tree reconstruction as a semantic…

Computer Vision and Pattern Recognition · Computer Science 2020-09-21 Deepak Keshwani , Yoshiro Kitamura , Satoshi Ihara , Satoshi Iizuka , Edgar Simo-Serra