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State-of-the-art computer codes for simulating real physical systems are often characterized by a vast number of input parameters. Performing uncertainty quantification (UQ) tasks with Monte Carlo (MC) methods is almost always infeasible…

Computational Physics · Physics 2018-10-17 Rohit Tripathy , Ilias Bilionis

Invariances to translations have imbued convolutional neural networks with powerful generalization properties. However, we often do not know a priori what invariances are present in the data, or to what extent a model should be invariant to…

Machine Learning · Computer Science 2020-12-02 Gregory Benton , Marc Finzi , Pavel Izmailov , Andrew Gordon Wilson

Graph neural networks have become a powerful framework for learning complex structure-property relationships and fast screening of chemical compounds. Recently proposed methods have demonstrated that using 3D geometry information of the…

Biomolecules · Quantitative Biology 2022-03-10 Ali Raza , E. Adrian Henle , Xiaoli Fern

The principle of translation equivariance (if an input image is translated an output image should be translated by the same amount), led to the development of convolutional neural networks that revolutionized machine vision. Other…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Zachary Schlamowitz , Andrew Bennecke , Daniel J. Tward

Diffusion models have gained popularity in graph generation tasks; however, the extent of their expressivity concerning the graph distributions they can learn is not fully understood. Unlike models in other domains, popular backbones for…

Machine Learning · Computer Science 2025-02-05 Xiyuan Wang , Yewei Liu , Lexi Pang , Siwei Chen , Muhan Zhang

Graph neural networks (GNNs) learn representations from network data with naturally distributed architectures, rendering them well-suited candidates for decentralized learning. Oftentimes, this decentralized graph support changes with time…

Machine Learning · Computer Science 2020-10-27 Zhan Gao , Fernando Gama , Alejandro Ribeiro

Denoising diffusion probabilistic models (DDPMs) have pioneered new state-of-the-art results in disciplines such as computer vision and computational biology for diverse tasks ranging from text-guided image generation to structure-guided…

Machine Learning · Computer Science 2024-05-28 Alex Morehead , Jianlin Cheng

Group equivariant neural networks have been explored in the past few years and are interesting from theoretical and practical standpoints. They leverage concepts from group representation theory, non-commutative harmonic analysis and…

Machine Learning · Computer Science 2020-05-01 Carlos Esteves

While data augmentation is widely used to train symmetry-agnostic models, it remains unclear how quickly and effectively they learn to respect symmetries. We investigate this by deriving a principled measure of equivariance error that, for…

Machine Learning · Computer Science 2025-12-03 Max W. Shen , Ewa Nowara , Michael Maser , Kyunghyun Cho

Graph Neural Networks (GNNs) play a fundamental role in many deep learning problems, in particular in cheminformatics. However, typical GNNs cannot capture the concept of chirality, which means they do not distinguish between the 3D graph…

Machine Learning · Computer Science 2023-07-11 Piotr Gaiński , Michał Koziarski , Jacek Tabor , Marek Śmieja

Deep generative models have shown great promise when it comes to synthesising novel images. While they can generate images that look convincing on a higher-level, generating fine-grained details is still a challenge. In order to foster…

Computer Vision and Pattern Recognition · Computer Science 2019-01-15 Andrin Jenal , Nikolay Savinov , Torsten Sattler , Gaurav Chaurasia

Deep learning is emerging as an effective tool in drug discovery, with potential applications in both predictive and generative models. Generative Flow Networks (GFlowNets/GFNs) are a recently introduced method recognized for the ability to…

Machine Learning · Computer Science 2023-11-08 Elaine Lau , Nikhil Vemgal , Doina Precup , Emmanuel Bengio

The quest for efficient and robust deep learning models for molecular systems representation is increasingly critical in scientific exploration. The advent of message passing neural networks has marked a transformative era in graph-based…

Computational Physics · Physics 2026-01-05 Jian Chang , Shuze Zhu

Recent advances in deep learning have accelerated its use in various applications, such as cellular image analysis and molecular discovery. In molecular discovery, a generative adversarial network (GAN), which comprises a discriminator to…

Machine Learning · Computer Science 2023-04-13 Daniel Manu , Jingjing Yao , Wuji Liu , Xiang Sun

One significant challenge of exploiting Graph neural networks (GNNs) in real-life scenarios is that they are always treated as black boxes, therefore leading to the requirement of interpretability. To address this, model-level…

Machine Learning · Computer Science 2025-09-22 Xiao Yue , Guangzhi Qu , Lige Gan

Quantum mechanical methods like Density Functional Theory (DFT) are used with great success alongside efficient search algorithms for studying kinetics of reactive systems. However, DFT is prohibitively expensive for large scale…

Computational Physics · Physics 2022-09-02 Mathias Schreiner , Arghya Bhowmik , Tejs Vegge , Peter Bjørn Jørgensen , Ole Winther

Group Equivariant Convolutions (GConvs) enable convolutional neural networks to be equivariant to various transformation groups, but at an additional parameter and compute cost. We investigate the filter parameters learned by GConvs and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-10 Attila Lengyel , Jan C. van Gemert

Drug Discovery is a fundamental and ever-evolving field of research. The design of new candidate molecules requires large amounts of time and money, and computational methods are being increasingly employed to cut these costs. Machine…

Machine Learning · Statistics 2021-05-28 Pietro Bongini , Monica Bianchini , Franco Scarselli

Discovery of atomistic systems with desirable properties is a major challenge in chemistry and material science. Here we introduce a novel, autoregressive, convolutional deep neural network architecture that generates molecular equilibrium…

Machine Learning · Statistics 2018-10-29 Niklas W. A. Gebauer , Michael Gastegger , Kristof T. Schütt

Diffusion-based generative models have reformed generative AI, and also enabled new capabilities in the science domain, e.g., fast generation of 3D structures of molecules. In such tasks, there is often a symmetry in the system, identifying…

Machine Learning · Computer Science 2026-05-15 Yixian Xu , Yusong Wang , Shengjie Luo , Kaiyuan Gao , Tianyu He , Di He , Chang Liu