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This paper introduces a novel graph signal processing framework for building graph-based models from classes of filtered signals. In our framework, graph-based modeling is formulated as a graph system identification problem, where the goal…

Machine Learning · Computer Science 2018-03-08 Hilmi E. Egilmez , Eduardo Pavez , Antonio Ortega

Trajectory prediction plays a vital role in automotive radar systems, facilitating precise tracking and decision-making in autonomous driving. Generative adversarial networks with the ability to learn a distribution over future trajectories…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Peiyuan Zhu , Fengxia Han , Hao Deng

Representation learning in dynamic graphs is a challenging problem because the topology of graph and node features vary at different time. This requires the model to be able to effectively capture both graph topology information and…

Machine Learning · Computer Science 2021-11-16 Xintao Xiang , Tiancheng Huang , Donglin Wang

In this paper, we present GGSD, a novel graph generative model based on 1) the spectral decomposition of the graph Laplacian matrix and 2) a diffusion process. Specifically, we propose to use a denoising model to sample eigenvectors and…

Machine Learning · Computer Science 2025-03-05 Giorgia Minello , Alessandro Bicciato , Luca Rossi , Andrea Torsello , Luca Cosmo

Diffusion models have shown great promise for image generation, beating GANs in terms of generation diversity, with comparable image quality. However, their application to 3D shapes has been limited to point or voxel representations that…

Computer Vision and Pattern Recognition · Computer Science 2022-12-16 Gimin Nam , Mariem Khlifi , Andrew Rodriguez , Alberto Tono , Linqi Zhou , Paul Guerrero

In the realm of generative models for graphs, extensive research has been conducted. However, most existing methods struggle with large graphs due to the complexity of representing the entire joint distribution across all node pairs and…

Social and Information Networks · Computer Science 2024-05-15 Andreas Bergmeister , Karolis Martinkus , Nathanaël Perraudin , Roger Wattenhofer

Multi-view learning has progressed rapidly in recent years. Although many previous studies assume that each instance appears in all views, it is common in real-world applications for instances to be missing from some views, resulting in…

Machine Learning · Computer Science 2022-08-30 Pengfei Zhu , Xinjie Yao , Yu Wang , Meng Cao , Binyuan Hui , Shuai Zhao , Qinghua Hu

Generating molecular graphs is a challenging task due to their discrete nature and the competitive objectives involved. Diffusion models have emerged as SOTA approaches in data generation across various modalities. For molecular graphs,…

Machine Learning · Computer Science 2025-01-08 Prashanth Pombala , Gerrit Grossmann , Verena Wolf

Visual generation and understanding are two deeply interconnected aspects of human intelligence, yet they have been traditionally treated as separate tasks in machine learning. In this paper, we propose Jodi, a diffusion framework that…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Yifeng Xu , Zhenliang He , Meina Kan , Shiguang Shan , Xilin Chen

Generative models have the potential to accelerate key steps in the discovery of novel molecular therapeutics and materials. Diffusion models have recently emerged as a powerful approach, excelling at unconditional sample generation and,…

Biomolecules · Quantitative Biology 2024-07-17 Leo Klarner , Tim G. J. Rudner , Garrett M. Morris , Charlotte M. Deane , Yee Whye Teh

With the rapidly growing model complexity and data volume, training deep generative models (DGMs) for better performance has becoming an increasingly more important challenge. Previous research on this problem has mainly focused on…

Machine Learning · Computer Science 2021-12-08 Yufan Zhou , Chunyuan Li , Changyou Chen , Jinhui Xu

Graphs are important data representations for describing objects and their relationships, which appear in a wide diversity of real-world scenarios. As one of a critical problem in this area, graph generation considers learning the…

Machine Learning · Computer Science 2022-10-06 Xiaojie Guo , Liang Zhao

Latent diffusion models (LDMs) dominate high-quality image generation, yet integrating representation learning with generative modeling remains a challenge. We introduce a novel generative image modeling framework that seamlessly bridges…

Computer Vision and Pattern Recognition · Computer Science 2026-01-23 Theodoros Kouzelis , Efstathios Karypidis , Ioannis Kakogeorgiou , Spyros Gidaris , Nikos Komodakis

Graphs are fundamental data structures which concisely capture the relational structure in many important real-world domains, such as knowledge graphs, physical and social interactions, language, and chemistry. Here we introduce a powerful…

Machine Learning · Computer Science 2018-03-12 Yujia Li , Oriol Vinyals , Chris Dyer , Razvan Pascanu , Peter Battaglia

Graph representation learning aims to encode all nodes of a graph into low-dimensional vectors that will serve as input of many compute vision tasks. However, most existing algorithms ignore the existence of inherent data distribution and…

Machine Learning · Computer Science 2020-08-04 Shuai Zheng , Zhenfeng Zhu , Xingxing Zhang , Zhizhe Liu , Jian Cheng , Yao Zhao

Deep generative models for graphs have exhibited promising performance in ever-increasing domains such as design of molecules (i.e, graph of atoms) and structure prediction of proteins (i.e., graph of amino acids). Existing work typically…

Machine Learning · Computer Science 2021-01-21 Wenbin Zhang , Liming Zhang , Dieter Pfoser , Liang Zhao

Various Graph Neural Networks (GNNs) have been successful in analyzing data in non-Euclidean spaces, however, they have limitations such as oversmoothing, i.e., information becomes excessively averaged as the number of hidden layers…

Machine Learning · Computer Science 2024-01-23 Jaeyoon Sim , Sooyeon Jeon , InJun Choi , Guorong Wu , Won Hwa Kim

Learning general latent-variable probabilistic graphical models is a key theoretical challenge in machine learning and artificial intelligence. All previous methods, including the EM algorithm and the spectral algorithms, face severe…

Machine Learning · Computer Science 2019-12-02 Borui Wang , Geoffrey Gordon

Recent studies reveal the connection between GNNs and the diffusion process, which motivates many diffusion-based GNNs to be proposed. However, since these two mechanisms are closely related, one fundamental question naturally arises: Is…

Social and Information Networks · Computer Science 2024-04-23 Yibo Li , Xiao Wang , Hongrui Liu , Chuan Shi

We propose TD-GEN, a graph generation framework based on tree decomposition, and introduce a reduced upper bound on the maximum number of decisions needed for graph generation. The framework includes a permutation invariant tree generation…

Machine Learning · Computer Science 2022-02-24 Hamed Shirzad , Hossein Hajimirsadeghi , Amir H. Abdi , Greg Mori