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In this paper, we propose the first framework that enables solving graph learning tasks of all levels (node, edge and graph) and all types (generation, regression and classification) using one formulation. We first formulate prediction…

Machine Learning · Computer Science 2024-11-01 Cai Zhou , Xiyuan Wang , Muhan Zhang

In this paper, a Feature-preserving Particle Generation (FPPG) method for arbitrary complex geometry is proposed. Instead of basing on implicit geometries, such as level-set, FPPG employs an explicit geometric representation for the…

Computational Physics · Physics 2025-01-07 Xingyue Yang , Zhenxiang Nie , Yuxin Dai , Zhe Ji

The length of the geodesic between two data points along a Riemannian manifold, induced by a deep generative model, yields a principled measure of similarity. Current approaches are limited to low-dimensional latent spaces, due to the…

Computer-aided design (CAD) significantly enhances the efficiency, accuracy, and innovation of design processes by enabling precise 2D and 3D modeling, extensive analysis, and optimization. Existing methods for creating CAD models rely on…

Computer Vision and Pattern Recognition · Computer Science 2025-06-24 Siyu Wang , Cailian Chen , Xinyi Le , Qimin Xu , Lei Xu , Yanzhou Zhang , Jie Yang

We propose a new representation for encoding 3D shapes as neural fields. The representation is designed to be compatible with the transformer architecture and to benefit both shape reconstruction and shape generation. Existing works on…

Computer Vision and Pattern Recognition · Computer Science 2022-10-19 Biao Zhang , Matthias Nießner , Peter Wonka

Previous works leveraging video models for image-to-3D scene generation tend to suffer from geometric distortions and blurry content. In this paper, we renovate the pipeline of image-to-3D scene generation by unlocking the potential of…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Yuhao Wan , Lijuan Liu , Jingzhi Zhou , Zihan Zhou , Xuying Zhang , Dongbo Zhang , Shaohui Jiao , Qibin Hou , Ming-Ming Cheng

Geometric model fitting is a fundamental research topic in computer vision and it aims to fit and segment multiple-structure data. In this paper, we propose a novel superpixel-guided two-view geometric model fitting method (called SDF),…

Computer Vision and Pattern Recognition · Computer Science 2018-05-04 Guobao Xiao , Hanzi Wang , Yan Yan , David Suter

Generating 3D models has traditionally been a complex task requiring specialized expertise. While recent advances in generative AI have sought to automate this process, existing methods produce non-editable representation, such as meshes or…

Graphics · Computer Science 2026-01-21 Fadlullah Raji , Stefano Petrangeli , Matheus Gadelha , Yu Shen , Uttaran Bhattacharya , Gang Wu

Geometrical and appearance quality requirements set the limits of the current industrial performance in injection molding. To guarantee the product's quality, it is necessary to adjust the process settings in a closed loop. Those…

Local geometry-controllable computer-aided design (CAD) generation aims to modify local parts of CAD models automatically, enhancing design efficiency. It also ensures that the shapes of newly generated local parts follow user-specific…

Computer Vision and Pattern Recognition · Computer Science 2025-10-21 Zhanwei Zhang , Kaiyuan Liu , Junjie Liu , Wenxiao Wang , Binbin Lin , Liang Xie , Chen Shen , Deng Cai

Optimization algorithms are pivotal in advancing various scientific and industrial fields but often encounter obstacles such as trapping in local minima, saddle points, and plateaus (flat regions), which makes the convergence to reasonable…

Optimization and Control · Mathematics 2026-01-15 Amir M. Vahedi , Horea T. Ilies

Feed-forward surround-view autonomous driving scene reconstruction offers fast, generalizable inference ability, which faces the core challenge of ensuring generalization while elevating novel view quality. Due to the surround-view with…

Computer Vision and Pattern Recognition · Computer Science 2025-10-23 Junhong Lin , Kangli Wang , Shunzhou Wang , Songlin Fan , Ge Li , Wei Gao

Generating complete 3D objects under partial occlusions (i.e., amodal scenarios) is a practically important yet challenging problem, as large portions of object geometry are unobserved in real-world scenarios. Existing approaches either…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Junwei Zhou , Yu-Wing Tai

Graph Neural Networks (GNNs) are emerging as powerful tools for nonlinear Model Order Reduction (MOR) of time-dependent parameterized Partial Differential Equations (PDEs). However, existing methodologies struggle to combine geometric…

Machine Learning · Computer Science 2026-01-19 Lorenzo Tomada , Federico Pichi , Gianluigi Rozza

In this work, we propose a set of physics-informed geometric operators (GOs) to enrich the geometric data provided for training surrogate/discriminative models, dimension reduction, and generative models, typically employed for performance…

Machine Learning · Computer Science 2024-07-11 Shahroz Khan , Zahid Masood , Muhammad Usama , Konstantinos Kostas , Panagiotis Kaklis , Wei , Chen

This paper puts forward a new generalized polynomial dimensional decomposition (PDD), referred to as GPDD, comprising hierarchically ordered measure-consistent multivariate orthogonal polynomials in dependent random variables. Unlike the…

Numerical Analysis · Mathematics 2018-10-30 Sharif Rahman

Rectified Flow (RF) models achieve state-of-the-art generation quality, yet controlling them for precise tasks -- such as semantic editing or blind image recovery -- remains a challenge. Current approaches bifurcate into inversion-based…

Machine Learning · Computer Science 2026-03-09 Vansh Bansal , James G Scott

Effective and efficient tokenization plays an important role in image representation and generation. Conventional methods, constrained by uniform 2D/1D grid tokenization, are inflexible to represent regions with varying shapes and textures…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Zhengqiang Zhang , Rongyuan Wu , Lingchen Sun , Lei Zhang

Scalable spatial GPs for massive datasets can be built via sparse Directed Acyclic Graphs (DAGs) where a small number of directed edges is sufficient to flexibly characterize spatial dependence. The DAG can be used to devise fast algorithms…

Methodology · Statistics 2025-03-31 Michele Peruzzi , Sudipto Banerjee , David B. Dunson , Andrew O. Finley

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis