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The nature of heterophilous graphs is significantly different from that of homophilous graphs, which causes difficulties in early graph neural network models and suggests aggregations beyond the 1-hop neighborhood. In this paper, we develop…

Machine Learning · Computer Science 2023-10-18 Jianfei Li , Ruigang Zheng , Han Feng , Ming Li , Xiaosheng Zhuang

Density functional theory (DFT) is a fundamental method for simulating quantum chemical properties, but it remains expensive due to the iterative self-consistent field (SCF) process required to solve the Kohn-Sham equations. Recently, deep…

Computational Physics · Physics 2025-10-23 Seongsu Kim , Nayoung Kim , Dongwoo Kim , Sungsoo Ahn

Molecular graph generation (MGG) is essentially a multi-class generative task, aimed at predicting categories of atoms and bonds under strict chemical and structural constraints. However, many prevailing diffusion paradigms learn to regress…

Machine Learning · Computer Science 2026-01-21 Yida Xiong , Jiameng Chen , Kun Li , Hongzhi Zhang , Xiantao Cai , Jia Wu , Wenbin Hu

Directed graphs naturally model systems with asymmetric, ordered relationships, essential to applications in biology, transportation, social networks, and visual understanding. Generating such graphs enables tasks such as simulation, data…

Machine Learning · Computer Science 2026-02-20 Alba Carballo-Castro , Manuel Madeira , Yiming Qin , Dorina Thanou , Pascal Frossard

Generating molecular graphs with desired chemical properties driven by deep graph generative models provides a very promising way to accelerate drug discovery process. Such graph generative models usually consist of two steps: learning…

Machine Learning · Statistics 2020-06-19 Chengxi Zang , Fei Wang

Flow Matching has emerged as a powerful framework for learning continuous transformations between distributions, enabling high-fidelity generative modeling. This work introduces Symmetrical Flow Matching (SymmFlow), a new formulation that…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Francisco Caetano , Christiaan Viviers , Peter H. N. De With , Fons van der Sommen

The de novo generation of molecules with desirable properties is a critical challenge, where diffusion models are computationally intensive and autoregressive models struggle with error propagation. In this work, we introduce the Graph…

Machine Learning · Computer Science 2025-12-03 Haozhuo Zheng , Cheng Wang , Yang Liu

While existing equivariant methods enhance data efficiency, they suffer from high computational intensity, reliance on single-modality inputs, and instability when combined with fast-sampling methods. In this work, we propose E3Flow, a…

Robotics · Computer Science 2026-03-25 Qinglun Zhang , Shen Cheng , Tian Dan , Haoqiang Fan , Guanghui Liu , Shuaicheng Liu

We introduce FragFM, a novel hierarchical framework via fragment-level discrete flow matching for efficient molecular graph generation. FragFM generates molecules at the fragment level, leveraging a coarse-to-fine autoencoder to reconstruct…

Machine Learning · Computer Science 2026-03-09 Joongwon Lee , Seonghwan Kim , Seokhyun Moon , Hyunwoo Kim , Woo Youn Kim

Diffusion-based graph generative models have recently obtained promising results for graph generation. However, existing diffusion-based graph generative models are mostly one-shot generative models that apply Gaussian diffusion in the…

Artificial Intelligence · Computer Science 2023-07-19 Lingkai Kong , Jiaming Cui , Haotian Sun , Yuchen Zhuang , B. Aditya Prakash , Chao Zhang

Understanding and predicting object motion from egocentric video is fundamental to embodied perception and interaction. However, generating physically consistent 6DoF trajectories remains challenging due to occlusions, fast motion, and the…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Abhishek Saroha , Huajian Zeng , Xingxing Zuo , Daniel Cremers , Xi Wang

Graph generation is a critical yet challenging task, as empirical analyses require a deep understanding of complex, non-Euclidean structures. Diffusion models have recently made significant advances in graph generation, but these models are…

Machine Learning · Computer Science 2026-03-13 Yiming Huang , Tolga Birdal

Generative models like Flow Matching have achieved state-of-the-art performance but are often hindered by a computationally expensive iterative sampling process. To address this, recent work has focused on few-step or one-step generation by…

Machine Learning · Computer Science 2025-07-24 Yi Guo , Wei Wang , Zhihang Yuan , Rong Cao , Kuan Chen , Zhengyang Chen , Yuanyuan Huo , Yang Zhang , Yuping Wang , Shouda Liu , Yuxuan Wang

Many generative tasks in chemistry and science involve distributions invariant to group symmetries (e.g., permutation and rotation). A common strategy enforces invariance and equivariance through architectural constraints such as…

Machine Learning · Computer Science 2026-02-17 Cai Zhou , Zijie Chen , Zian Li , Jike Wang , Kaiyi Jiang , Pan Li , Rose Yu , Muhan Zhang , Stephen Bates , Tommi Jaakkola

Equivariant Graph Neural Networks (eGNNs) trained on density-functional theory (DFT) data can potentially perform electronic structure prediction at unprecedented scales, enabling investigation of the electronic properties of materials with…

Machine Learning · Computer Science 2025-07-08 Manasa Kaniselvan , Alexander Maeder , Chen Hao Xia , Alexandros Nikolaos Ziogas , Mathieu Luisier

Modern diffusion/flow-based models for image generation typically exhibit two core characteristics: (i) using multi-step sampling, and (ii) operating in a latent space. Recent advances have made encouraging progress on each aspect…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Yiyang Lu , Susie Lu , Qiao Sun , Hanhong Zhao , Zhicheng Jiang , Xianbang Wang , Tianhong Li , Zhengyang Geng , Kaiming He

MeanFlow enables one-step generation in continuous spaces by learning an average velocity over a time interval rather than the instantaneous velocity field of flow matching. However, discrete state spaces do not have smooth trajectories or…

Machine Learning · Computer Science 2026-05-14 Fairoz Nower Khan , Nabuat Zaman Nahim , Md Sajid Ahmed , Ruiquan Huang , Peizhong Ju

Denoising generative models, such as diffusion and flow-based models, produce high-quality samples but require many denoising steps due to discretization error. Flow maps, which estimate the average velocity between timesteps, mitigate this…

Computer Vision and Pattern Recognition · Computer Science 2025-10-29 Kyungmin Lee , Sihyun Yu , Jinwoo Shin

In this work, we propose the Generative Latent Flow (GLF), an algorithm for generative modeling of the data distribution. GLF uses an Auto-encoder (AE) to learn latent representations of the data, and a normalizing flow to map the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Zhisheng Xiao , Qing Yan , Yali Amit

Computational fluid dynamics (CFD) provides high-fidelity simulations of fluid flows but remains computationally expensive for many-query applications. In recent years deep learning (DL) has been used to construct data-driven fluid-dynamic…

Machine Learning · Computer Science 2026-04-13 David Ramos , Lucas Lacasa , Fermín Gutiérrez , Eusebio Valero , Gonzalo Rubio
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