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Normalizing flows are a class of deep generative models that provide a promising route to sample lattice field theories more efficiently than conventional Monte Carlo simulations. In this work we show that the theoretical framework of…

High Energy Physics - Lattice · Physics 2022-07-07 Michele Caselle , Elia Cellini , Alessandro Nada , Marco Panero

Generating molecular structures with desired properties is a critical task with broad applications in drug discovery and materials design. We propose 3M-Diffusion, a novel multi-modal molecular graph generation method, to generate diverse,…

Machine Learning · Computer Science 2024-10-04 Huaisheng Zhu , Teng Xiao , Vasant G Honavar

Generative methods for graphs need to be sufficiently flexible to model complex dependencies between sets of nodes. At the same time, the generated graphs need to satisfy domain-dependent feasibility conditions, that is, they should not…

Machine Learning · Computer Science 2025-01-22 Stefan Mautner , Rolf Backofen , Fabrizio Costa

Inferring the graph structure from observed data is a key task in graph machine learning to capture the intrinsic relationship between data entities. While significant advancements have been made in learning the structure of homogeneous…

Machine Learning · Computer Science 2025-03-13 Keyue Jiang , Bohan Tang , Xiaowen Dong , Laura Toni

The graph structure is a commonly used data storage mode, and it turns out that the low-dimensional embedded representation of nodes in the graph is extremely useful in various typical tasks, such as node classification, link prediction ,…

Social and Information Networks · Computer Science 2020-08-03 Xing Li , Wei Wei , Xiangnan Feng , Xue Liu , Zhiming Zheng

Neural networks that compute over graph structures are a natural fit for problems in a variety of domains, including natural language (parse trees) and cheminformatics (molecular graphs). However, since the computation graph has a different…

Neural and Evolutionary Computing · Computer Science 2017-02-23 Moshe Looks , Marcello Herreshoff , DeLesley Hutchins , Peter Norvig

Generating novel graph structures that optimize given objectives while obeying some given underlying rules is fundamental for chemistry, biology and social science research. This is especially important in the task of molecular graph…

Machine Learning · Computer Science 2019-02-26 Jiaxuan You , Bowen Liu , Rex Ying , Vijay Pande , Jure Leskovec

While network science has become an indispensable tool for studying complex systems, the conventional use of pairwise links often shows limitations in describing high-order interactions properly. Hypergraphs, where each edge can connect…

Physics and Society · Physics 2024-12-20 Zhao Li , Jing Zhang , Jiqiang Zhang , Guozhong Zheng , Weiran Cai , Li Chen

Graph neural networks (GNNs) have emerged as powerful tools to accurately predict materials and molecular properties in computational discovery pipelines. In this article, we exploit the invertible nature of these neural networks to…

Machine Learning · Computer Science 2024-06-06 Félix Therrien , Edward H. Sargent , Oleksandr Voznyy

Large language models (LLMs) are being increasingly explored for graph tasks. Despite their remarkable success in text-based tasks, LLMs' capabilities in understanding explicit graph structures remain limited, particularly with large…

Machine Learning · Computer Science 2024-10-31 Sambhav Khurana , Xiner Li , Shurui Gui , Shuiwang Ji

Normalizing Flows provide a principled framework for high-dimensional density estimation and generative modeling by constructing invertible transformations with tractable Jacobian determinants. We propose Fractal Flow, a novel normalizing…

Machine Learning · Statistics 2025-08-28 Binhui Zhang , Jianwei Ma

Procuring expressive molecular representations underpins AI-driven molecule design and scientific discovery. The research mainly focuses on atom-level homogeneous molecular graphs, ignoring the rich information in subgraphs or motifs.…

Quantitative Methods · Quantitative Biology 2023-01-10 Fang Wu , Dragomir Radev , Stan Z. Li

Graph is a fundamental mathematical structure in characterizing relations between different objects and has been widely used on various learning tasks. Most methods implicitly assume a given graph to be accurate and complete. However, real…

Machine Learning · Computer Science 2024-03-07 Xuanting Xie , Zhao Kang , Wenyu Chen

Designing molecules with desirable physiochemical properties and functionalities is a long-standing challenge in chemistry, material science, and drug discovery. Recently, machine learning-based generative models have emerged as promising…

Biomolecules · Quantitative Biology 2023-04-26 Zaixi Zhang , Qi Liu , Chee-Kong Lee , Chang-Yu Hsieh , Enhong Chen

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

We present a new approach, the Topograph, which reconstructs underlying physics processes, including the intermediary particles, by leveraging underlying priors from the nature of particle physics decays and the flexibility of message…

High Energy Physics - Phenomenology · Physics 2023-10-16 Lukas Ehrke , John Andrew Raine , Knut Zoch , Manuel Guth , Tobias Golling

In this paper, we explore the potential of generative machine learning models as an alternative to the computationally expensive Monte Carlo (MC) simulations commonly used by the Large Hadron Collider (LHC) experiments. Our objective is to…

High Energy Physics - Experiment · Physics 2023-11-21 Allison Xu , Shuo Han , Xiangyang Ju , Haichen Wang

Normalizing Flows are generative models which produce tractable distributions where both sampling and density evaluation can be efficient and exact. The goal of this survey article is to give a coherent and comprehensive review of the…

Machine Learning · Statistics 2020-06-09 Ivan Kobyzev , Simon J. D. Prince , Marcus A. Brubaker

We develop random graph models where graphs are generated by connecting not only pairs of vertices by edges but also larger subsets of vertices by copies of small atomic subgraphs of arbitrary topology. This allows the for the generation of…

Statistics Theory · Mathematics 2021-04-21 Anatol E. Wegner , Sofia Olhede

Graph generation has emerged as a critical task in fields ranging from drug discovery to circuit design. Contemporary approaches, notably diffusion and flow-based models, have achieved solid graph generative performance through constructing…

Machine Learning · Computer Science 2026-03-06 Keyue Jiang , Jiahao Cui , Xiaowen Dong , Laura Toni
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