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Coarse grain (CG) molecular dynamics (MD) can simulate systems inaccessible to fine grain (FG) MD simulations. A CG simulation decreases the degrees of freedom by mapping atoms from an FG representation into agglomerate CG particles. The FG…

Chemical Physics · Physics 2018-10-08 Maghesree Chakraborty , Chenliang Xu , Andrew D. White

We note that most existing approaches for molecular graph generation fail to guarantee the intrinsic property of permutation invariance, resulting in unexpected bias in generative models. In this work, we propose GraphEBM to generate…

Machine Learning · Computer Science 2021-04-13 Meng Liu , Keqiang Yan , Bora Oztekin , Shuiwang Ji

Dense regions in networks are an indicator of interesting and unusual information. However, most existing methods only consider simple, undirected, unweighted networks. Complex networks in the real-world often have rich information though:…

Social and Information Networks · Computer Science 2021-03-08 Ahmet Erdem Sariyuce

In this survey, we explore recent literature on finding the cores of higher graphs using geometric and topological means. We study graphs, hypergraphs, and simplicial complexes, all of which are models of higher graphs. We study the notion…

History and Overview · Mathematics 2025-06-30 Inés García-Redondo , Claudia Landi , Sarah Percival , Anda Skeja , Bei Wang , Ling Zhou

In deep neural networks, better results can often be obtained by increasing the complexity of previously developed basic models. However, it is unclear whether there is a way to boost performance by decreasing the complexity of such models.…

Machine Learning · Computer Science 2022-06-07 Junran Wu , Shangzhe Li , Jianhao Li , Yicheng Pan , Ke Xu

Graph encoder embedding, a recent technique for graph data, offers speed and scalability in producing vertex-level representations from binary graphs. In this paper, we extend the applicability of this method to a general graph model, which…

Machine Learning · Statistics 2024-10-24 Cencheng Shen

Hypergraphs provide a powerful framework for modeling complex systems and networks with higher-order interactions beyond simple pairwise relationships. However, graph-based clustering approaches, which focus primarily on pairwise relations,…

Social and Information Networks · Computer Science 2025-07-16 Giuseppe F. Italiano , Athanasios L. Konstantinidis , Anna Mpanti , Fariba Ranjbar

In this paper, we propose Multiresolution Equivariant Graph Variational Autoencoders (MGVAE), the first hierarchical generative model to learn and generate graphs in a multiresolution and equivariant manner. At each resolution level, MGVAE…

Machine Learning · Computer Science 2022-06-30 Truong Son Hy , Risi Kondor

Molecular graph representation learning is widely used in chemical and biomedical research. While pre-trained 2D graph encoders have demonstrated strong performance, they overlook the rich molecular domain knowledge associated with…

Machine Learning · Computer Science 2025-10-09 Xingtong Yu , Chang Zhou , Xinming Zhang , Yuan Fang

The rise in complexity of network data in neuroscience, social networks, and protein-protein interaction networks has been accompanied by several efforts to model and understand these data at different scales. A key multiscale network…

Methodology · Statistics 2025-03-04 Al-Fahad Al-Qadhi , Keith Levin , Vincent Lyzinski

Graph generation is a critical yet challenging task, as empirical analyses require a deep understanding of complex, non-Euclidean structures. Diffusion models have recently made significant advances in graph generation, but these models are…

Machine Learning · Computer Science 2026-03-13 Yiming Huang , Tolga Birdal

The information contained in hierarchical topology, intrinsic to many networks, is currently underutilised. A novel architecture is explored which exploits this information through a multiscale decomposition. A dendrogram is produced by a…

Machine Learning · Computer Science 2020-06-24 Alex Lipov , Pietro Liò

Autoencoders are effective deep learning models that can function as generative models and learn latent representations for downstream tasks. The use of graph autoencoders - with both encoder and decoder implemented as message passing…

Machine Learning · Computer Science 2025-03-04 Magnus Cunow , Gerrit Großmann

The increasing prevalence of graph-structured data across various domains has intensified greater interest in graph classification tasks. While numerous sophisticated graph learning methods have emerged, their complexity often hinders…

Machine Learning · Computer Science 2025-09-03 Saiful Islam , Md. Nahid Hasan , Pitambar Khanra

Graphs are naturally used to describe the structures of various real-world systems in biology, society, computer science etc., where subgraphs or motifs as basic blocks play an important role in function expression and information…

Social and Information Networks · Computer Science 2021-02-11 Jinhuan Wang , Pengtao Chen , Bin Ma , Jiajun Zhou , Zhongyuan Ruan , Guanrong Chen , Qi Xuan

Structure aware graph generation aims to generate graphs that satisfy given topological properties. It has applications in domains such as drug discovery, social network modeling, and knowledge graph construction. Unlike existing methods…

Artificial Intelligence · Computer Science 2026-05-05 Nidhi Vakil , Hadi Amiri

Graph generative models have shown strong results in molecular design but struggle to scale to large, complex structures. While hierarchical methods improve scalability, they usually ignore node and edge features, which are critical in…

Machine Learning · Computer Science 2025-10-01 Dorian Gailhard , Enzo Tartaglione , Lirida Naviner , Jhony H. Giraldo

Deep generative models have been shown powerful in generating novel molecules with desired chemical properties via their representations such as strings, trees or graphs. However, these models are limited in recommending synthetic routes…

Artificial Intelligence · Computer Science 2022-08-02 Dai Hai Nguyen , Koji Tsuda

Generating text from graph-based data, such as Abstract Meaning Representation (AMR), is a challenging task due to the inherent difficulty in how to properly encode the structure of a graph with labeled edges. To address this difficulty, we…

Computation and Language · Computer Science 2019-09-04 Leonardo F. R. Ribeiro , Claire Gardent , Iryna Gurevych

We introduce a new graph diffusion model for small molecule generation, DMol, which outperforms the state-of-the-art DiGress model in terms of validity by roughly 1.5% across all benchmarking datasets while reducing the number of diffusion…

Machine Learning · Computer Science 2025-11-04 Peizhi Niu , Yu-Hsiang Wang , Vishal Rana , Chetan Rupakheti , Abhishek Pandey , Olgica Milenkovic