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Convex programming plays a fundamental role in machine learning, data science, and engineering. Testing convexity structure in nonlinear programs relies on verifying the convexity of objectives and constraints. Grant et al. (2006)…

Optimization and Control · Mathematics 2025-08-20 Andrew Cheng , Vaibhav Dixit , Melanie Weber

A graph neural network (GCN) is employed in the deep energy method (DEM) model to solve the momentum balance equation in 3D for the deformation of linear elastic and hyperelastic materials due to its ability to handle irregular domains over…

Computational Engineering, Finance, and Science · Computer Science 2022-10-21 Junyan He , Diab Abueidda , Seid Koric , Iwona Jasiuk

This paper presents a new approach for 3D shape generation, inversion, and manipulation, through a direct generative modeling on a continuous implicit representation in wavelet domain. Specifically, we propose a compact wavelet…

Computer Vision and Pattern Recognition · Computer Science 2023-02-02 Jingyu Hu , Ka-Hei Hui , Zhengzhe Liu , Ruihui Li , Chi-Wing Fu

Accurate prediction of physical properties is critical for discovering and designing novel materials. Machine learning technologies have attracted significant attention in the materials science community for their potential for large-scale…

Materials Science · Physics 2021-11-24 Boyu Zhang , Mushen Zhou , Jianzhong Wu , Fuchang Gao

One challenge that remains open in 3D deep learning is how to efficiently represent 3D data to feed deep networks. Recent works have relied on volumetric or point cloud representations, but such approaches suffer from a number of issues…

Computer Vision and Pattern Recognition · Computer Science 2019-01-25 Jhony K. Pontes , Chen Kong , Sridha Sridharan , Simon Lucey , Anders Eriksson , Clinton Fookes

Learning robust 3D shape segmentation functions with deep neural networks has emerged as a powerful paradigm, offering promising performance in producing a consistent part segmentation of each 3D shape. Generalizing across 3D shape…

Computer Vision and Pattern Recognition · Computer Science 2024-02-07 Yu Hao , Hao Huang , Shuaihang Yuan , Yi Fang

Polygonal meshes provide an efficient representation for 3D shapes. They explicitly capture both shape surface and topology, and leverage non-uniformity to represent large flat regions as well as sharp, intricate features. This…

Machine Learning · Computer Science 2019-07-03 Rana Hanocka , Amir Hertz , Noa Fish , Raja Giryes , Shachar Fleishman , Daniel Cohen-Or

Machine Learning surrogates for Computational Fluid Dynamics (CFD), particularly Graph Neural Networks (GNNs) and Transformers, have become a new important approach for accelerating physics simulations. However, we identify a critical…

Machine Learning · Computer Science 2026-05-05 Paul Garnier , Vincent Lannelongue , Elie Hachem

Object detection in challenging situations such as scale variation, occlusion, and truncation depends not only on feature details but also on contextual information. Most previous networks emphasize too much on detailed feature extraction…

Computer Vision and Pattern Recognition · Computer Science 2018-09-07 Wenchi Ma , Yuanwei Wu , Zongbo Wang , Guanghui Wang

In this study, we present a sophisticated hybrid machine-learning framework that significantly improves the accuracy of predicting hydrogen storage capacities in metal hydrides. This is a critical challenge due to the scarcity of…

Materials Science · Physics 2024-08-29 Satadeep Bhattacharjee , Pritam Das , Swetarekha Ram , Seung-Cheol Lee

We present StdGEN++, a novel and comprehensive system for generating high-fidelity, semantically decomposed 3D characters from diverse inputs. Existing 3D generative methods often produce monolithic meshes that lack the structural…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Yuze He , Yanning Zhou , Wang Zhao , Jingwen Ye , Zhongkai Wu , Ran Yi , Yong-Jin Liu

Recent advances in dense 3D reconstruction have led to significant progress, yet achieving accurate unified geometric prediction remains a major challenge. Most existing methods are limited to predicting a single geometry quantity from…

Computer Vision and Pattern Recognition · Computer Science 2025-07-23 Xianze Fang , Jingnan Gao , Zhe Wang , Zhuo Chen , Xingyu Ren , Jiangjing Lyu , Qiaomu Ren , Zhonglei Yang , Xiaokang Yang , Yichao Yan , Chengfei Lyu

We present a new convolutional neural network, called Multi Voxel-Point Neurons Convolution (MVPConv), for fast and accurate 3D deep learning. The previous works adopt either individual point-based features or local-neighboring voxel-based…

Computer Vision and Pattern Recognition · Computer Science 2021-05-03 Wei Zhou , Xin Cao , Xiaodan Zhang , Xingxing Hao , Dekui Wang , Ying He

We propose a surface fitting method for unstructured 3D point clouds. This method, called DeepFit, incorporates a neural network to learn point-wise weights for weighted least squares polynomial surface fitting. The learned weights act as a…

Computer Vision and Pattern Recognition · Computer Science 2020-03-25 Yizhak Ben-Shabat , Stephen Gould

The task of deducing three-dimensional molecular configurations from their two-dimensional graph representations holds paramount importance in the fields of computational chemistry and pharmaceutical development. The rapid advancement of…

Biomolecules · Quantitative Biology 2025-01-09 Bobin Yang , Jie Deng , Zhenghan Chen , Ruoxue Wu

We present Bayesian Diffusion Models (BDM), a prediction algorithm that performs effective Bayesian inference by tightly coupling the top-down (prior) information with the bottom-up (data-driven) procedure via joint diffusion processes. We…

Computer Vision and Pattern Recognition · Computer Science 2024-04-23 Haiyang Xu , Yu Lei , Zeyuan Chen , Xiang Zhang , Yue Zhao , Yilin Wang , Zhuowen Tu

Diffusion models have shown great promise for image generation, beating GANs in terms of generation diversity, with comparable image quality. However, their application to 3D shapes has been limited to point or voxel representations that…

Computer Vision and Pattern Recognition · Computer Science 2022-12-16 Gimin Nam , Mariem Khlifi , Andrew Rodriguez , Alberto Tono , Linqi Zhou , Paul Guerrero

Statistical shape modeling (SSM) is a powerful computational framework for quantifying and analyzing the geometric variability of anatomical structures, facilitating advancements in medical research, diagnostics, and treatment planning.…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Krithika Iyer , Jadie Adams , Shireen Y. Elhabian

With the emergence of data-driven approaches in science, there is growing interest in their application to manufacturing, particularly in surface precision engineering. However, generating large datasets required for model training is often…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Hadi Bakhshan , Sima Farshbaf , Adrián Travieso-Disotuar , Luciano Mijaíl Villarreal , Fernando Rastellini Canela , Josep Maria Carbonell

Humans rely on their visual and tactile senses to develop a comprehensive 3D understanding of their physical environment. Recently, there has been a growing interest in exploring and manipulating objects using data-driven approaches that…

Computer Vision and Pattern Recognition · Computer Science 2023-11-22 Mauro Comi , Yijiong Lin , Alex Church , Alessio Tonioni , Laurence Aitchison , Nathan F. Lepora