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Generating the periodic structure of stable materials is a long-standing challenge for the material design community. This task is difficult because stable materials only exist in a low-dimensional subspace of all possible periodic…

Machine Learning · Computer Science 2022-03-15 Tian Xie , Xiang Fu , Octavian-Eugen Ganea , Regina Barzilay , Tommi Jaakkola

The inherent compositional heterogeneity of multi-principal element alloys (MPEAs) gives rise to complex, spatially varying mechanical fields that cannot be uniquely determined from coarse-grained composition descriptors. This…

Materials Science · Physics 2026-04-03 Ningyu Yan , Zhuocheng Xie , Kai Guo , Yejun Gu , Huajian Gao , Yang Xiang

Inverse problems often involve matching observational data using a physical model that takes a large number of parameters as input. These problems tend to be under-constrained and require regularization to impose additional structure on the…

Computational Physics · Physics 2019-06-07 Daniel O'Malley , John K. Golden , Velimir V. Vesselinov

Regularized autoencoders learn the latent codes, a structure with the regularization under the distribution, which enables them the capability to infer the latent codes given observations and generate new samples given the codes. However,…

Machine Learning · Computer Science 2019-02-18 Wenju Xu , Shawn Keshmiri , Guanghui Wang

Natural systems with emergent behaviors often organize along low-dimensional subsets of high-dimensional spaces. For example, despite the tens of thousands of genes in the human genome, the principled study of genomics is fruitful because…

VAEs (Variational AutoEncoders) have proved to be powerful in the context of density modeling and have been used in a variety of contexts for creative purposes. In many settings, the data we model possesses continuous attributes that we…

Machine Learning · Computer Science 2017-07-18 Gaëtan Hadjeres , Frank Nielsen , François Pachet

Variational Autoencoder (VAE) and its variations are classic generative models by learning a low-dimensional latent representation to satisfy some prior distribution (e.g., Gaussian distribution). Their advantages over GAN are that they can…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Cong Geng , Jia Wang , Li Chen , Zhiyong Gao

Recent advances in generative AI offer promising solutions for synthetic data generation but often rely on large datasets for effective training. To address this limitation, we propose a novel generative model that learns from limited data…

Machine Learning · Statistics 2025-05-27 Michail Spitieris , Massimiliano Ruocco , Abdulmajid Murad , Alessandro Nocente

Deep generative models are attracting great attention as a new promising approach for molecular design. All models reported so far are based on either variational autoencoder (VAE) or generative adversarial network (GAN). Here we propose a…

Chemical Physics · Physics 2019-12-13 Seung Hwan Hong , Jaechang Lim , Seongok Ryu , Woo Youn Kim

Exploring the vast composition space of multi-component alloys presents a challenging task for both \textit{ab initio} (first principles) and experimental methods due to the time-consuming procedures involved. This ultimately impedes the…

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

Generative models based on generative adversarial networks (GANs) and variational autoencoders (VAEs) have been widely studied in the fields of image generation, speech generation, and drug discovery, but, only a few studies have focused on…

Machine Learning · Computer Science 2019-10-28 Yoshihide Sawada , Koji Morikawa , Mikiya Fujii

Computing atomic-scale properties of chemically disordered materials requires an efficient exploration of their vast configuration space. Traditional approaches such as Monte Carlo or Special Quasirandom Structures either entail sampling an…

Materials Science · Physics 2026-03-17 Maciej J. Karcz , Luca Messina , Eiji Kawasaki , Emeric Bourasseau

Crystal structure forms the foundation for understanding the physical and chemical properties of materials. Generative models have emerged as a new paradigm in crystal structure prediction(CSP), however, accurately capturing key…

Materials Science · Physics 2025-02-14 Ziyi Chen , Yang Yuan , Siming Zheng , Jialong Guo , Sihan Liang , Yangang Wang , Zongguo Wang

We propose Tree Variational Autoencoder (TreeVAE), a new generative hierarchical clustering model that learns a flexible tree-based posterior distribution over latent variables. TreeVAE hierarchically divides samples according to their…

Machine Learning · Computer Science 2023-11-20 Laura Manduchi , Moritz Vandenhirtz , Alain Ryser , Julia Vogt

Generative modeling of set-structured data, such as point clouds, requires reasoning over local and global structures at various scales. However, adopting multi-scale frameworks for ordinary sequential data to a set-structured data is…

Machine Learning · Computer Science 2021-03-30 Jinwoo Kim , Jaehoon Yoo , Juho Lee , Seunghoon Hong

Generative AI models for music and the arts in general are increasingly complex and hard to understand. The field of eXplainable AI (XAI) seeks to make complex and opaque AI models such as neural networks more understandable to people. One…

Sound · Computer Science 2024-02-06 Nick Bryan-Kinns , Bingyuan Zhang , Songyan Zhao , Berker Banar

Unsupervised representation learning via generative modeling is a staple to many computer vision applications in the absence of labeled data. Variational Autoencoders (VAEs) are powerful generative models that learn representations useful…

Machine Learning · Computer Science 2020-03-24 Riddhish Bhalodia , Iain Lee , Shireen Elhabian

Determining atomistic structures from characterization data is one of the most common yet intricate problems in materials science. Particularly in amorphous materials, proposing structures that balance realism and agreement with experiments…

Disordered Systems and Neural Networks · Physics 2026-03-25 Jiawei Guo , Daniel Schwalbe-Koda

Regularized Auto-Encoders (RAEs) form a rich class of neural generative models. They effectively model the joint-distribution between the data and the latent space using an Encoder-Decoder combination, with regularization imposed in terms…

Machine Learning · Computer Science 2020-09-22 Arnab Kumar Mondal , Himanshu Asnani , Parag Singla , Prathosh AP
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