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Normalizing flows are generative models that provide tractable density estimation via an invertible transformation from a simple base distribution to a complex target distribution. However, this technique cannot directly model data…

Machine Learning · Statistics 2021-11-15 Brendan Leigh Ross , Jesse C. Cresswell

Normalizing flows are exact-likelihood generative neural networks which approximately transform samples from a simple prior distribution to samples of the probability distribution of interest. Recent work showed that such generative models…

Machine Learning · Statistics 2020-10-27 Jonas Köhler , Leon Klein , Frank Noé

Graph generative models have broad applications in biology, chemistry and social science. However, modelling and understanding the generative process of graphs is challenging due to the discrete and high-dimensional nature of graphs, as…

Machine Learning · Computer Science 2022-12-06 Han Huang , Leilei Sun , Bowen Du , Yanjie Fu , Weifeng Lv

Anomaly segmentation is an essential capability for safety-critical robotics applications that must be aware of unexpected events. Normalizing flows (NFs), a class of generative models, are a promising approach for this task due to their…

Computer Vision and Pattern Recognition · Computer Science 2026-03-05 Chang Won Lee , Selina Leveugle , Svetlana Stolpner , Chris Langley , Paul Grouchy , Jonathan Kelly , Steven L. Waslander

Based on a recent development in the area of error control coding, we introduce the notion of convolutional factor graphs (CFGs) as a new class of probabilistic graphical models. In this context, the conventional factor graphs are referred…

Artificial Intelligence · Computer Science 2012-07-19 Yongyi Mao , Frank Kschischang , Brendan J. Frey

Graph Neural Networks (GNNs) have recently emerged as a robust framework for graph-structured data. They have been applied to many problems such as knowledge graph analysis, social networks recommendation, and even Covid19 detection and…

Software Engineering · Computer Science 2022-01-04 Thanh-Dat Nguyen , Thanh Le-Cong , ThanhVu H. Nguyen , Xuan-Bach D. Le , Quyet-Thang Huynh

Graph Neural Networks (GNNs) are prominent in handling sparse and unstructured data efficiently and effectively. Specifically, GNNs were shown to be highly effective for node classification tasks, where labelled information is available for…

Machine Learning · Computer Science 2022-12-01 Moshe Eliasof , Eldad Haber , Eran Treister

Normalizing flows are an established approach for modelling complex probability densities through invertible transformations from a base distribution. However, the accuracy with which the target distribution can be captured by the…

Machine Learning · Statistics 2024-02-02 Harry Bevins , Will Handley , Thomas Gessey-Jones

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

Deep neural networks are being increasingly used for short-term traffic flow prediction, which can be generally categorized as convolutional (CNNs) or graph neural networks (GNNs). CNNs are preferable for region-wise traffic prediction by…

Physics and Society · Physics 2021-10-12 Wei Zeng , Chengqiao Lin , Kang Liu , Juncong Lin , Anthony K. H. Tung

We show that normalising flows become pathological when used to model targets whose supports have complicated topologies. In this scenario, we prove that a flow must become arbitrarily numerically noninvertible in order to approximate the…

Machine Learning · Statistics 2021-04-26 Rob Cornish , Anthony L. Caterini , George Deligiannidis , Arnaud Doucet

While denoising diffusion and flow matching have driven major advances in generative modeling, their application to tabular data remains limited, despite its ubiquity in real-world applications. To this end, we develop TabbyFlow, a…

Machine Learning · Computer Science 2025-10-06 Andrés Guzmán-Cordero , Floor Eijkelboom , Jan-Willem van de Meent

In light of the recent success of Graph Neural Networks (GNNs) and their ability to perform inference on complex data structures, many studies apply GNNs to the task of text classification. In most previous methods, a heterogeneous graph,…

Machine Learning · Computer Science 2024-10-29 Yassine Abbahaddou , Johannes F. Lutzeyer , Michalis Vazirgiannis

A normalizing flow (NF) is a mapping that transforms a chosen probability distribution to a normal distribution. Such flows are a common technique used for data generation and density estimation in machine learning and data science. The…

Optimization and Control · Mathematics 2022-12-01 Alexander Vidal , Samy Wu Fung , Luis Tenorio , Stanley Osher , Levon Nurbekyan

Graph-based neural network models are gaining traction in the field of representation learning due to their ability to uncover latent topological relationships between entities that are otherwise challenging to identify. These models have…

Image and Video Processing · Electrical Eng. & Systems 2023-07-25 Aryan Singh , Pepijn Van de Ven , Ciarán Eising , Patrick Denny

Continuous normalizing flows (CNFs) can model data distributions with expressive infinite-length architectures. But this modeling involves computationally expensive process of solving an ordinary differential equation (ODE) during maximum…

Machine Learning · Computer Science 2024-10-15 Denis Gudovskiy , Tomoyuki Okuno , Yohei Nakata

Graph-structured data are pervasive across domains including social networks, biological networks, and knowledge graphs. Due to their non-Euclidean nature, such data pose significant challenges to conventional machine learning methods. This…

Machine Learning · Computer Science 2025-07-29 Yihan Wang , Jianing Zhao

Graph classification is a fundamental but challenging issue for numerous real-world applications. Despite recent great progress in image/video classification, convolutional neural networks (CNNs) cannot yet cater to graphs well because of…

Social and Information Networks · Computer Science 2020-01-13 Jiatao Jiang , Chunyan Xu , Zhen Cui , Tong Zhang , Wenming Zheng , Jian Yang

We propose a hierarchical normalizing flow model for generating molecular graphs. The model produces new molecular structures from a single-node graph by recursively splitting every node into two. All operations are invertible and can be…

Chemical Physics · Physics 2021-06-11 Maksim Kuznetsov , Daniil Polykovskiy

Scalability of graph neural networks remains one of the major challenges in graph machine learning. Since the representation of a node is computed by recursively aggregating and transforming representation vectors of its neighboring nodes…

Machine Learning · Computer Science 2021-06-10 Zengfeng Huang , Shengzhong Zhang , Chong Xi , Tang Liu , Min Zhou
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