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Geometric Deep Learning (GDL) unifies a broad class of machine learning techniques from the perspectives of symmetries, offering a framework for introducing problem-specific inductive biases like Graph Neural Networks (GNNs). However, the…

Machine Learning · Computer Science 2024-08-29 Osvaldo Velarde , Lucas Parra , Paolo Boldi , Hernan Makse

Designing a neural network architecture for molecular representation is crucial for AI-driven drug discovery and molecule design. In this work, we propose a new framework for molecular representation learning. Our contribution is threefold:…

Machine Learning · Computer Science 2022-10-18 Jiye Kim , Seungbeom Lee , Dongwoo Kim , Sungsoo Ahn , Jaesik Park

In this paper, we introduce a physics and geometry informed neural operator network with application to the forward simulation of acoustic scattering. The development of geometry informed deep learning models capable of learning a solution…

Machine Learning · Computer Science 2024-06-06 Siddharth Nair , Timothy F. Walsh , Greg Pickrell , Fabio Semperlotti

To learn accurate representations of molecules, it is essential to consider both chemical and geometric features. To encode geometric information, many descriptors have been proposed in constrained circumstances for specific types of…

Machine Learning · Computer Science 2023-07-25 Shuo Zhang , Yang Liu , Li Xie , Lei Xie

New technology for energy storage is necessary for the large-scale adoption of renewable energy sources like wind and solar. The ability to discover suitable catalysts is crucial for making energy storage more cost-effective and scalable.…

Chemical Physics · Physics 2024-04-17 Patrick Geitner

Scaling deep learning models has been at the heart of recent revolutions in language modelling and image generation. Practitioners have observed a strong relationship between model size, dataset size, and performance. However,…

Graph Neural Networks (GNNs) are a promising deep learning approach for circumventing many real-world problems on graph-structured data. However, these models usually have at least one of four fundamental limitations: over-smoothing,…

Machine Learning · Computer Science 2022-10-03 Xun Liu , Alex Hay-Man Ng , Fangyuan Lei , Yikuan Zhang , Zhengmin Li

Machine learning has emerged as an invaluable tool in many research areas. In the present work, we harness this power to predict highly accurate molecular infrared spectra with unprecedented computational efficiency. To account for…

Chemical Physics · Physics 2021-03-16 Michael Gastegger , Jörg Behler , Philipp Marquetand

Molecular dynamics simulations can generate atomically detailed trajectories of complex systems, but analyzing these dynamics can be challenging when systems lack well-established quantitative descriptors (features). Graph neural networks…

Machine Learning · Computer Science 2025-12-09 Zihan Pengmei , Spencer C. Guo , Chatipat Lorpaiboon , Aaron R. Dinner

Many scientific fields study data with an underlying structure that is a non-Euclidean space. Some examples include social networks in computational social sciences, sensor networks in communications, functional networks in brain imaging,…

Computer Vision and Pattern Recognition · Computer Science 2017-08-02 Michael M. Bronstein , Joan Bruna , Yann LeCun , Arthur Szlam , Pierre Vandergheynst

Physics-informed neural networks (PINNs) effectively embed physical principles into machine learning, but often struggle with complex or alternating geometries. We propose a novel method for integrating geometric transformations within…

Machine Learning · Computer Science 2023-11-30 Samuel Burbulla

Deep learning is an important method for molecular design and exhibits considerable ability to predict molecular properties, including physicochemical, bioactive, and ADME/T (absorption, distribution, metabolism, excretion, and toxicity)…

Molecular Networks · Quantitative Biology 2022-05-10 Hanxuan Cai , Huimin Zhang , Duancheng Zhao , Jingxing Wu , Ling Wang

Gaussian Processes (GPs) are known to provide accurate predictions and uncertainty estimates even with small amounts of labeled data by capturing similarity between data points through their kernel function. However traditional GP kernels…

Machine Learning · Computer Science 2021-11-16 Ankur Mallick , Chaitanya Dwivedi , Bhavya Kailkhura , Gauri Joshi , T. Yong-Jin Han

Graph neural networks (GNNs) demonstrate great performance in compound property and activity prediction due to their capability to efficiently learn complex molecular graph structures. However, two main limitations persist including…

Biomolecules · Quantitative Biology 2023-10-10 Apakorn Kengkanna , Masahito Ohue

Machine learning plays an increasingly important role in many areas of chemistry and materials science, e.g. to predict materials properties, to accelerate simulations, to design new materials, and to predict synthesis routes of new…

Many real-world physics and engineering problems arise in geometrically complex domains discretized by meshes for numerical simulations. The nodes of these potentially irregular meshes naturally form point clouds whose limited tractability…

Machine Learning · Computer Science 2025-06-17 Shirin Hosseinmardi , Ramin Bostanabad

We present a novel physics-informed deep learning framework for solving steady-state incompressible flow on multiple sets of irregular geometries by incorporating two main elements: using a point-cloud based neural network to capture…

Fluid Dynamics · Physics 2022-10-28 Ali Kashefi , Tapan Mukerji

The limits of molecular dynamics (MD) simulations of macromolecules are steadily pushed forward by the relentless developments of computer architectures and algorithms. This explosion in the number and extent (in size and time) of MD…

We introduce a scheme for molecular simulations, the Deep Potential Molecular Dynamics (DeePMD) method, based on a many-body potential and interatomic forces generated by a carefully crafted deep neural network trained with ab initio data.…

Computational Physics · Physics 2018-04-11 Linfeng Zhang , Jiequn Han , Han Wang , Roberto Car , Weinan E

Probabilistic graphical models (PGMs) serve as a powerful framework for modeling complex systems with uncertainty and extracting valuable insights from data. However, users face challenges when applying PGMs to their problems in terms of…

Machine Learning · Computer Science 2024-05-29 Jiantong Jiang , Zeyi Wen , Peiyu Yang , Atif Mansoor , Ajmal Mian