2022
DOI: 10.48550/arxiv.2201.11932
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Deep Generative Model for Periodic Graphs

Abstract: Periodic graphs are graphs consisting of repetitive local structures, such as crystal nets and polygon mesh.Their generative modeling has great potential in real-world applications such as material design and graphics synthesis. Classical models either rely on domain-specific predefined generation principles (e.g., in crystal net design), or follow geometry-based prescribed rules. Recently, deep generative models has shown great promise in automatically generating general graphs. However, their advancement int… Show more

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Cited by 6 publications
(8 citation statements)
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“…A major requirement for the graphbased inverse design of crystal structures is the possibility to generate new periodic graphs based on a vector representation. Recently, this problem has been addressed with a new architecture called PGD-VAE 162 , a variational autoencoder capable of generating new periodic graph structures. Another work using a VAE focuses on predicting stable crystal structures using GNNs 258 .…”
Section: Periodic Graph Generationmentioning
confidence: 99%
See 1 more Smart Citation
“…A major requirement for the graphbased inverse design of crystal structures is the possibility to generate new periodic graphs based on a vector representation. Recently, this problem has been addressed with a new architecture called PGD-VAE 162 , a variational autoencoder capable of generating new periodic graph structures. Another work using a VAE focuses on predicting stable crystal structures using GNNs 258 .…”
Section: Periodic Graph Generationmentioning
confidence: 99%
“…Overall, graph generative models have been extensively applied for molecular materials and stayed up to date with recent developments in the field of graph generation. However, these remain under-explored for crystalline materials, mainly due to graph representation challenges 162 . While finding such a reliable graph representation is still an open question 128 and will likely remain case-specific, we believe that using generative models based on GNNs is a promising research direction in inverse design, especially given current breakthroughs such as normalizing flows.…”
mentioning
confidence: 99%
“…Moreover, MeshSeq [273] is the dataset that contains 380 meshes for quantitative analysis of how people decompose objects into parts and for comparison of mesh segmentation algorithms [273]. This dataset has been borrowed to generate periodic graphs with different basic units [166]. QMOF [274] dataset is a publicly available database of computed quantum-chemical properties and molecular structures of metal-organic frameworks (MOFs) [274].…”
Section: Chinesementioning
confidence: 99%
“…QMOF [274] dataset is a publicly available database of computed quantum-chemical properties and molecular structures of metal-organic frameworks (MOFs) [274]. This dataset has also been used for controllable periodic graph generation [166].…”
Section: Chinesementioning
confidence: 99%
“…Extensive efforts have been spent on learning underlying low-dimensional representation and the generation process of high-dimensional data through deep generative models such as variational autoencoders (VAE) [27,35,9], generative adversarial networks (GANs) [11,12], normalizing flows [40,5], etc [48,17,8]. Particularly, enhancing the disentanglement and independence of latent dimensions has been attracting the attention of the community [4,43,3,34,45,23], enabling controllable generation that generates data with desired properties by interpolating latent variables [44,13,29,25,38,20,7,49]. For instance, CSVAE transfers image attributes by correlating latent variables with desired properties [28].…”
Section: Introductionmentioning
confidence: 99%