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Related papers: PiGRAND: Physics-informed Graph Neural Diffusion f…

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The Graph Edit Distance (GED) problem, which aims to compute the minimum number of edit operations required to transform one graph into another, is a fundamental challenge in graph analysis with wide-ranging applications. However, due to…

Machine Learning · Computer Science 2025-03-25 Wei Huang , Hanchen Wang , Dong Wen , Wenjie Zhang , Ying Zhang , Xuemin Lin

Diffusion models based on permutation-equivariant networks can learn permutation-invariant distributions for graph data. However, in comparison to their non-invariant counterparts, we have found that these invariant models encounter greater…

Machine Learning · Computer Science 2024-06-21 Qi Yan , Zhengyang Liang , Yang Song , Renjie Liao , Lele Wang

Despite the successful implementations of physics-informed neural networks in different scientific domains, it has been shown that for complex nonlinear systems, achieving an accurate model requires extensive hyperparameter tuning, network…

Computational Engineering, Finance, and Science · Computer Science 2022-11-30 Milad Ramezankhani , Amir Nazemi , Apurva Narayan , Heinz Voggenreiter , Mehrtash Harandi , Rudolf Seethaler , Abbas S. Milani

Effective training of deep image segmentation models is challenging due to the need for abundant, high-quality annotations. Generating annotations is laborious and time-consuming for human experts, especially in medical image segmentation.…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Vikas Dwivedi , Balaji Srinivasan , Ganapathy Krishnamurthi

Physics-informed deep learning has drawn tremendous interest in recent years to solve computational physics problems, whose basic concept is to embed physical laws to constrain/inform neural networks, with the need of less data for training…

Fluid Dynamics · Physics 2020-11-24 Chengping Rao , Hao Sun , Yang Liu

Data selection methods, such as active learning and core-set selection, are useful tools for improving the data efficiency of deep learning models on large-scale datasets. However, recent deep learning models have moved forward from…

Machine Learning · Computer Science 2021-08-03 Wentao Zhang , Zhi Yang , Yexin Wang , Yu Shen , Yang Li , Liang Wang , Bin Cui

Physics-informed neural network (PINN) has recently gained increasing interest in computational mechanics. In this work, we present a detailed introduction to programming PINN-based computational solid mechanics. Besides, two prevailingly…

Computational Engineering, Finance, and Science · Computer Science 2023-04-11 Jinshuai Bai , Hyogu Jeong , C. P. Batuwatta-Gamage , Shusheng Xiao , Qingxia Wang , C. M. Rathnayaka , Laith Alzubaidi , Gui-Rong Liu , Yuantong Gu

In this paper we focus on comparing machine learning approaches for quantum graphs, which are metric graphs, i.e., graphs with dedicated edge lengths, and an associated differential operator. In our case the differential equation is a…

Machine Learning · Statistics 2022-05-17 Jan Blechschmidt , Jan-Frederik Pietschman , Tom-Christian Riemer , Martin Stoll , Max Winkler

We present a data-driven method for learning to generate animations of 3D garments using a 2D image diffusion model. In contrast to existing methods, typically based on fully connected networks, graph neural networks, or generative…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Raquel Vidaurre , Elena Garces , Dan Casas

Since the seminal work of [9] and their Physics-Informed neural networks (PINNs), many efforts have been conducted towards solving partial differential equations (PDEs) with Deep Learning models. However, some challenges remain, for…

Machine Learning · Computer Science 2023-11-27 Marien Chenaud , José Alves , Frédéric Magoulès

We introduce a framework for joint grounded scene graph - image generation, a challenging task involving high-dimensional, multi-modal structured data. To effectively model this complex joint distribution, we adopt a factorized approach:…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Bicheng Xu , Qi Yan , Renjie Liao , Lele Wang , Leonid Sigal

Representation learning on graphs that evolve has recently received significant attention due to its wide application scenarios, such as bioinformatics, knowledge graphs, and social networks. The propagation of information in graphs is…

Machine Learning · Computer Science 2021-06-04 Mingyi Liu , Zhiying Tu , Xiaofei Xu , Zhongjie Wang

A physics-informed neural network (PINN), which has been recently proposed by Raissi et al [J. Comp. Phys. 378, pp. 686-707 (2019)], is applied to the partial differential equation (PDE) of liquid film flows. The PDE considered is the time…

Diffusion models have excelled in generating natural images and are now being adapted to a variety of data types, including graphs. However, conventional models often rely on Gaussian or categorical diffusion processes, which can struggle…

Machine Learning · Computer Science 2024-10-08 Xinyang Liu , Yilin He , Bo Chen , Mingyuan Zhou

Generating human grasping poses that accurately reflect both object geometry and user-specified interaction semantics is essential for natural hand-object interactions in AR/VR and embodied AI. However, existing semantic grasping approaches…

Robotics · Computer Science 2026-03-31 Xiaofei Wu , Yi Zhang , Yumeng Liu , Yuexin Ma , Yujiao Shi , Xuming He

Graph Drawing techniques have been developed in the last few years with the purpose of producing aesthetically pleasing node-link layouts. Recently, the employment of differentiable loss functions has paved the road to the massive usage of…

Machine Learning · Computer Science 2022-07-04 Matteo Tiezzi , Gabriele Ciravegna , Marco Gori

Diffusion models have emerged as powerful generative models for graph generation, yet their use for conditional graph generation remains a fundamental challenge. In particular, guiding diffusion models on graphs under arbitrary reward…

Machine Learning · Computer Science 2025-05-27 Victor M. Tenorio , Nicolas Zilberstein , Santiago Segarra , Antonio G. Marques

Iterative solvers are widely used to accurately simulate physical systems. These solvers require initial guesses to generate a sequence of improving approximate solutions. In this contribution, we introduce a novel method to accelerate…

Graph embedding, aiming to learn low-dimensional representations (aka. embeddings) of nodes, has received significant attention recently. Recent years have witnessed a surge of efforts made on static graphs, among which Graph Convolutional…

Machine Learning · Computer Science 2021-04-08 Zeyu Cui , Zekun Li , Shu Wu , Xiaoyu Zhang , Qiang Liu , Liang Wang , Mengmeng Ai

In many real world applications, data are characterized by a complex structure, that can be naturally encoded as a graph. In the last years, the popularity of deep learning techniques has renewed the interest in neural models able to…

Machine Learning · Computer Science 2020-04-20 Matteo Tiezzi , Giuseppe Marra , Stefano Melacci , Marco Maggini , Marco Gori