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Guiding Vector Fields (GVFs) are a powerful tool for robotic path following. However, classical methods assume smooth, ordered curves and fail when paths are unordered, multi-branch, or generated by probabilistic models. We propose a…

Robotics · Computer Science 2026-04-28 Zirui Chen , Shiliang Guo , Shiyu Zhao

Generative models such as diffusion models have achieved remarkable success in state-of-the-art image and text tasks. Recently, score-based diffusion models have extended their success beyond image generation, showing competitive…

Machine Learning · Computer Science 2024-11-27 Jia Jun Cheng Xian , Sadegh Mahdavi , Renjie Liao , Oliver Schulte

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

Real-world databases are predominantly relational, comprising multiple interlinked tables that contain complex structural and statistical dependencies. Learning generative models on relational data has shown great promise in generating…

Machine Learning · Computer Science 2025-06-03 Valter Hudovernik , Minkai Xu , Juntong Shi , Lovro Šubelj , Stefano Ermon , Erik Štrumbelj , Jure Leskovec

Diffusion models have shown incredible capabilities as generative models; indeed, they power the current state-of-the-art models on text-conditioned image generation such as Imagen and DALL-E 2. In this work we review, demystify, and unify…

Machine Learning · Computer Science 2022-08-26 Calvin Luo

Graph Neural Networks (GNNs) have shown superior performance for semi-supervised learning of numerous web applications, such as classification on web services and pages, analysis of online social networks, and recommendation in e-commerce.…

Social and Information Networks · Computer Science 2023-06-06 Keke Huang , Jing Tang , Juncheng Liu , Renchi Yang , Xiaokui Xiao

Being the most cutting-edge generative methods, diffusion methods have shown great advances in wide generation tasks. Among them, graph generation attracts significant research attention for its broad application in real life. In our…

Machine Learning · Computer Science 2024-07-17 Hongyang Chen , Can Xu , Lingyu Zheng , Qiang Zhang , Xuemin Lin

Learning generative models for graph-structured data is challenging because graphs are discrete, combinatorial, and the underlying data distribution is invariant to the ordering of nodes. However, most of the existing generative models for…

Machine Learning · Computer Science 2020-03-03 Chenhao Niu , Yang Song , Jiaming Song , Shengjia Zhao , Aditya Grover , Stefano Ermon

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

Scene graphs (SGs) represent objects and their relationships as structured graphs, enabling applications in image generation, robotics, and 3D understanding. Recent work suggests that conditioning image generation on scene graphs improves…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Rajalaxmi Rajagopalan , Romit Roy Choudhury

Generative models can be categorized into two types: explicit generative models that define explicit density forms and allow exact likelihood inference, such as score-based diffusion models (SDMs) and normalizing flows; implicit generative…

Machine Learning · Statistics 2023-07-06 Jingwei Zhang , Han Shi , Jincheng Yu , Enze Xie , Zhenguo Li

Denoising-based models, including diffusion and flow matching, have led to substantial advances in graph generation. Despite this progress, such models remain constrained by two fundamental limitations: a computational cost that scales…

Machine Learning · Computer Science 2026-04-02 Yoann Boget , Pablo Strasser , Alexandros Kalousis

Graph is a prevalent discrete data structure, whose generation has wide applications such as drug discovery and circuit design. Diffusion generative models, as an emerging research focus, have been applied to graph generation tasks.…

Machine Learning · Computer Science 2024-11-05 Zhe Xu , Ruizhong Qiu , Yuzhong Chen , Huiyuan Chen , Xiran Fan , Menghai Pan , Zhichen Zeng , Mahashweta Das , Hanghang Tong

Given a set of graphs from some unknown family, we want to generate new graphs from that family. Recent methods use diffusion on either graph embeddings or the discrete space of nodes and edges. However, simple changes to embeddings (say,…

Machine Learning · Computer Science 2026-05-08 Rahul Nandakumar , Deepayan Chakrabarti

We consider the problem of molecular graph generation using deep models. While graphs are discrete, most existing methods use continuous latent variables, resulting in inaccurate modeling of discrete graph structures. In this work, we…

Machine Learning · Computer Science 2021-06-03 Youzhi Luo , Keqiang Yan , Shuiwang Ji

Recent advances in Graph Neural Networks (GNNs) have revolutionized graph-structured data modeling, yet traditional GNNs struggle with complex heterogeneous structures prevalent in real-world scenarios. Despite progress in handling…

Machine Learning · Computer Science 2025-01-07 Zongwei Li , Lianghao Xia , Hua Hua , Shijie Zhang , Shuangyang Wang , Chao Huang

Graph generation is integral to various engineering and scientific disciplines. Nevertheless, existing methodologies tend to overlook the generation of edge attributes. However, we identify critical applications where edge attributes are…

Social and Information Networks · Computer Science 2024-12-30 Nimrod Berman , Eitan Kosman , Dotan Di Castro , Omri Azencot

Over recent years, denoising diffusion generative models have come to be considered as state-of-the-art methods for synthetic data generation, especially in the case of generating images. These approaches have also proved successful in…

Machine Learning · Computer Science 2023-06-30 Stratis Limnios , Praveen Selvaraj , Mihai Cucuringu , Carsten Maple , Gesine Reinert , Andrew Elliott

This work introduces DiGress, a discrete denoising diffusion model for generating graphs with categorical node and edge attributes. Our model utilizes a discrete diffusion process that progressively edits graphs with noise, through the…

Machine Learning · Computer Science 2023-05-24 Clement Vignac , Igor Krawczuk , Antoine Siraudin , Bohan Wang , Volkan Cevher , Pascal Frossard

Diffusion models have shown great promise in data generation, yet generating time series data remains challenging due to the need to capture complex temporal dependencies and structural patterns. In this paper, we present \textit{TSGDiff},…

Machine Learning · Computer Science 2025-11-18 Lifeng Shen , Xuyang Li , Lele Long