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Molecule generation is central to a variety of applications. Current attention has been paid to approaching the generation task as subgraph prediction and assembling. Nevertheless, these methods usually rely on hand-crafted or external…

Machine Learning · Computer Science 2022-12-20 Xiangzhe Kong , Wenbing Huang , Zhixing Tan , Yang Liu

Developing new molecular compounds is crucial to address pressing challenges, from health to environmental sustainability. However, exploring the molecular space to discover new molecules is difficult due to the vastness of the space. Here…

Machine Learning · Computer Science 2025-05-23 Manuel Ruiz-Botella , Marta Sales-Pardo , Roger Guimerà

Markov Population Models are a widespread formalism used to model the dynamics of complex systems, with applications in Systems Biology and many other fields. The associated Markov stochastic process in continuous time is often analyzed by…

Machine Learning · Computer Science 2021-06-25 Francesca Cairoli , Ginevra Carbone , Luca Bortolussi

Correctly capturing the symmetry transformations of data can lead to efficient models with strong generalization capabilities, though methods incorporating symmetries often require prior knowledge. While recent advancements have been made…

Molecule property prediction is a fundamental problem for computer-aided drug discovery and materials science. Quantum-chemical simulations such as density functional theory (DFT) have been widely used for calculating the molecule…

Machine Learning · Computer Science 2019-11-26 Hiroyuki Shindo , Yuji Matsumoto

Markov chain Monte Carlo methods explicitly defined on the manifold of probability distributions have recently been established. These methods are constructed from diffusions across the manifold and the solution of the equations describing…

Computation · Statistics 2014-03-25 Simon Byrne , Mark Girolami

Quantum Monte Carlo is an efficient technique for finding the ground-state energy and related properties of small molecules. A major challenge remains in accurate determination of a molecule's geometry, i.e. the optimal location of its…

Computational Physics · Physics 2017-04-12 Jan Vrbik

In recent years, machine learning (ML) methods have become increasingly popular in wireless communication systems for several applications. A critical bottleneck for designing ML systems for wireless communications is the availability of…

Signal Processing · Electrical Eng. & Systems 2025-06-03 Satyavrat Wagle , Akshay Malhotra , Shahab Hamidi-Rad , Aditya Sant , David J. Love , Christopher G. Brinton

Statistical inference from high-dimensional data with low-dimensional structures has recently attracted lots of attention. In machine learning, deep generative modeling approaches implicitly estimate distributions of complex objects by…

Statistics Theory · Mathematics 2022-02-21 Rong Tang , Yun Yang

Realistic human geometry generation is an important yet challenging task, requiring both the preservation of fine clothing details and the accurate modeling of clothing-body interactions. To tackle this challenge, we build upon Geometry…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Xiangjun Tang , Biao Zhang , Peter Wonka

Analyzing large volumes of high-dimensional data requires dimensionality reduction: finding meaningful low-dimensional structures hidden in their high-dimensional observations. Such practice is needed in atomistic simulations of complex…

Computational Physics · Physics 2023-10-17 Jakub Rydzewski , Ming Chen , Omar Valsson

Graph neural networks (GNNs), which are capable of learning representations from graphical data, are naturally suitable for modeling molecular systems. This review introduces GNNs and their various applications for small organic molecules.…

Machine Learning · Computer Science 2023-10-10 Yuyang Wang , Zijie Li , Amir Barati Farimani

We explore a self-learning Markov chain Monte Carlo method based on the Adversarial Non-linear Independent Components Estimation Monte Carlo, which utilizes generative models and artificial neural networks. We apply this method to the…

Disordered Systems and Neural Networks · Physics 2021-01-06 Matija Medvidovic , Juan Carrasquilla , Lauren E. Hayward , Bohdan Kulchytskyy

Generative adversarial networks (GANs) are popular for generative tasks; however, they often require careful architecture selection, extensive empirical tuning, and are prone to mode collapse. To overcome these challenges, we propose a…

Machine Learning · Computer Science 2024-07-08 Wonjun Lee , Yifei Yang , Dongmian Zou , Gilad Lerman

Many generative models can be expressed as a differentiable function of random inputs drawn from some simple probability density. This framework includes both deep generative architectures such as Variational Autoencoders and a large class…

Computation · Statistics 2017-03-06 Matthew M. Graham , Amos J. Storkey

Manifolds discovered by machine learning models provide a compact representation of the underlying data. Geodesics on these manifolds define locally length-minimising curves and provide a notion of distance, which are key for reduced-order…

Machine Learning · Computer Science 2023-05-25 Daniel Kelshaw , Luca Magri

Machine learning has emerged recently as a powerful tool for predicting properties of quantum many-body systems. For many ground states of gapped Hamiltonians, generative models can learn from measurements of a single quantum state to…

Quantum Physics · Physics 2024-03-05 Haoxiang Wang , Maurice Weber , Josh Izaac , Cedric Yen-Yu Lin

In this work, we propose to study the global geometrical properties of generative models. We introduce a new Riemannian metric to assess the similarity between any two data points. Importantly, our metric is agnostic to the parametrization…

Machine Learning · Computer Science 2024-07-17 Beomsu Kim , Michael Puthawala , Jong Chul Ye , Emanuele Sansone

Recent methods for generating novel molecules use graph representations of molecules and employ various forms of graph convolutional neural networks for inference. However, training requires solving an expensive graph isomorphism problem,…

Machine Learning · Computer Science 2021-03-02 Sebastian Pölsterl , Christian Wachinger

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
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