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Hypergraphs are a generalized data structure of graphs to model higher-order correlations among entities, which have been successfully adopted into various research domains. Meanwhile, HyperGraph Neural Network (HGNN) is currently the…

Computer Vision and Pattern Recognition · Computer Science 2021-05-04 Jing Huang , Xiaolin Huang , Jie Yang

In real world domains, most graphs naturally exhibit a hierarchical structure. However, data-driven graph generation is yet to effectively capture such structures. To address this, we propose a novel approach that recursively generates…

Machine Learning · Computer Science 2023-06-01 Mahdi Karami , Jun Luo

Graph generative models are essential across diverse scientific domains by capturing complex distributions over relational data. Among them, graph diffusion models achieve superior performance but face inefficient sampling and limited…

Machine Learning · Computer Science 2025-06-17 Yiming Qin , Manuel Madeira , Dorina Thanou , Pascal Frossard

Despite the prevalence of hypergraphs in a variety of high-impact applications, there are relatively few works on hypergraph representation learning, most of which primarily focus on hyperlink prediction, often restricted to the…

Machine Learning · Computer Science 2021-05-25 Boxin Du , Changhe Yuan , Robert Barton , Tal Neiman , Hanghang Tong

Graph generation is one of the most challenging tasks in recent years, and its core is to learn the ground truth distribution hiding in the training data. However, training data may not be available due to security concerns or unaffordable…

Discrete Mathematics · Computer Science 2025-03-11 Xiaorui Qi , Yanlong Wen , Xiaojie Yuan

Graph burning is a discrete process that models the spread of influence through a network using a fire as a proxy for the type of influence being spread. This process was recently extended to hypergraphs. We introduce a variant of…

Combinatorics · Mathematics 2024-08-13 Andrea C. Burgess , John A. Hawkin , Alexander J. M. Howse , Caleb W. Jones , David A. Pike

We study generative modeling for time series using entropic optimal transport and the Schr\"odinger bridge (SB) framework, with a focus on applications in finance and energy modeling. Extending the diffusion-based approach of Hamdouche,…

Mathematical Finance · Quantitative Finance 2026-02-24 Stefano De Marco , Huyên Pham , Davide Zanni

Deep generative models such as diffusion and flow matching are powerful machine learning tools capable of learning and sampling from high-dimensional distributions. They are particularly useful when the training data appears to be…

High Energy Physics - Phenomenology · Physics 2026-04-30 Zachary Bogorad , Ibrahim Elsharkawy , Yonatan Kahn , Andrew J. Larkoski , Noam Levi

Despite recent advancements in single-domain or single-object image generation, it is still challenging to generate complex scenes containing diverse, multiple objects and their interactions. Scene graphs, composed of nodes as objects and…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Sarthak Garg , Helisa Dhamo , Azade Farshad , Sabrina Musatian , Nassir Navab , Federico Tombari

Generating graph-structured data is a challenging problem, which requires learning the underlying distribution of graphs. Various models such as graph VAE, graph GANs, and graph diffusion models have been proposed to generate meaningful and…

Machine Learning · Computer Science 2024-04-16 Tianze Luo , Zhanfeng Mo , Sinno Jialin Pan

With the rapid development of deep learning, existing generative text steganography methods based on autoregressive models have achieved success. However, these autoregressive steganography approaches have certain limitations. Firstly,…

Cryptography and Security · Computer Science 2025-04-29 Zhengxian Wu , Juan Wen , Yiming Xue , Ziwei Zhang , Yinghan Zhou

This study investigates human-computer interface generation based on diffusion models to overcome the limitations of traditional template-based design and fixed rule-driven methods. It first analyzes the key challenges of interface…

Human-Computer Interaction · Computer Science 2026-01-13 Rui Liu , Liuqingqing Yang , Runsheng Zhang , Shixiao Wang

Learning from structured data is a core machine learning task. Commonly, such data is represented as graphs, which normally only consider (typed) binary relationships between pairs of nodes. This is a substantial limitation for many domains…

Machine Learning · Computer Science 2022-09-07 Dobrik Georgiev , Marc Brockschmidt , Miltiadis Allamanis

We study conditional generation in diffusion models under hard constraints, where generated samples must satisfy prescribed events with probability one. Such constraints arise naturally in safety-critical applications and in rare-event…

Artificial Intelligence · Computer Science 2026-03-10 Zhengyi Guo , Wenpin Tang , Renyuan Xu

In recent years hypergraphs have emerged as a powerful tool to study systems with multi-body interactions which cannot be trivially reduced to pairs. While highly structured methods to generate synthetic data have proved fundamental for the…

Social and Information Networks · Computer Science 2024-10-10 Nicolò Ruggeri , Federico Battiston , Caterina De Bacco

Graph generation with Machine Learning is an open problem with applications in various research fields. In this work, we propose to cast the generative process of a graph into a sequential one, relying on a node ordering procedure. We use…

Machine Learning · Statistics 2020-04-24 Davide Bacciu , Alessio Micheli , Marco Podda

Most real-world networks are noisy and incomplete samples from an unknown target distribution. Refining them by correcting corruptions or inferring unobserved regions typically improves downstream performance. Inspired by the impressive…

We introduce GAUDI, a generative model capable of capturing the distribution of complex and realistic 3D scenes that can be rendered immersively from a moving camera. We tackle this challenging problem with a scalable yet powerful approach,…

Recently, graph-based algorithms have drawn much attention because of their impressive success in semi-supervised setups. For better model performance, previous studies learn to transform the topology of the input graph. However, these…

Social and Information Networks · Computer Science 2020-10-15 Chen Li , Xutan Peng , Hao Peng , Jianxin Li , Lihong Wang , Philip S. Yu , Lifang He

Generative modeling and clustering are conventionally distinct tasks in machine learning. Variational Autoencoders (VAEs) have been widely explored for their ability to integrate both, providing a framework for generative clustering.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Jorge da Silva Gonçalves , Laura Manduchi , Moritz Vandenhirtz , Julia E. Vogt
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