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Foundational machine-learned interatomic potentials have emerged as powerful tools for atomistic simulations, promising near first-principles accuracy across diverse chemical spaces at a fraction of the cost of quantum-mechanical…

We consider large-scale linear inverse problems in Bayesian settings. We follow a recent line of work that applies the approximate message passing (AMP) framework to multi-processor (MP) computational systems, where each processor node…

Information Theory · Computer Science 2016-11-09 Junan Zhu , Dror Baron , Ahmad Beirami

Machine-learning (ML) interatomic potentials (IPs) trained on first-principles datasets are becoming increasingly popular since they promise to treat larger system sizes and longer time scales, compared to the {\em ab initio} techniques…

Materials Science · Physics 2023-09-04 Shuaihua Lu , Luca M. Ghiringhelli , Christian Carbogno , Jinlan Wang , Matthias Scheffler

We propose and analyze an approximate message passing (AMP) algorithm for the matrix tensor product model, which is a generalization of the standard spiked matrix models that allows for multiple types of pairwise observations over a…

Machine Learning · Statistics 2023-06-28 Riccardo Rossetti , Galen Reeves

The effectiveness of neural processes (NPs) in modelling posterior prediction maps -- the mapping from data to posterior predictive distributions -- has significantly improved since their inception. This improvement can be attributed to two…

Including covariant information, such as position, force, velocity or spin is important in many tasks in computational physics and chemistry. We introduce Steerable E(3) Equivariant Graph Neural Networks (SEGNNs) that generalise equivariant…

Machine Learning · Computer Science 2022-03-29 Johannes Brandstetter , Rob Hesselink , Elise van der Pol , Erik J Bekkers , Max Welling

The core of molecular dynamics simulation fundamentally lies in the interatomic potential. Traditional empirical potentials lack accuracy, while first-principles methods are computationally prohibitive. Machine learning interatomic…

Machine Learning · Computer Science 2026-03-25 Shuyu Bi , Zhede Zhao , Qiangchao Sun , Tao Hu , Xionggang Lu , Hongwei Cheng

Solving a large-scale regularized linear inverse problem using multiple processors is important in various real-world applications due to the limitations of individual processors and constraints on data sharing policies. This paper focuses…

Information Theory · Computer Science 2017-01-31 Yanting Ma , Yue M. Lu , Dror Baron

In this paper, we present structured message passing (SMP), a unifying framework for approximate inference algorithms that take advantage of structured representations such as algebraic decision diagrams and sparse hash tables. These…

Artificial Intelligence · Computer Science 2013-09-27 Vibhav Gogate , Pedro Domingos

The prediction of quantum mechanical properties is historically plagued by a trade-off between accuracy and speed. Machine learning potentials have previously shown great success in this domain, reaching increasingly better accuracy while…

Machine Learning · Computer Science 2022-04-26 Philipp Thölke , Gianni De Fabritiis

Machine-learning interatomic potentials (MLIPs) such as neuroevolution potentials (NEP) combine quantum-mechanical accuracy with computational efficiency significantly accelerate atomistic dynamic simulations. Trained by derivative-free…

Disordered Systems and Neural Networks · Physics 2026-04-14 Hongfu Huang , Junhao Peng , Kaiqi Li , Jian Zhou , Zhimei Sun

With many frameworks based on message passing neural networks proposed to predict molecular and bulk properties, machine learning methods have tremendously shifted the paradigms of computational sciences underpinning physics, material…

Machine Learning · Computer Science 2021-09-03 Zun Wang , Chong Wang , Sibo Zhao , Yong Xu , Shaogang Hao , Chang Yu Hsieh , Bing-Lin Gu , Wenhui Duan

Previous partial permutation synchronization (PPS) algorithms, which are commonly used for multi-object matching, often involve computation-intensive and memory-demanding matrix operations. These operations become intractable for large…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Shaohan Li , Yunpeng Shi , Gilad Lerman

Message passing neural networks have recently evolved into a state-of-the-art approach to representation learning on graphs. Existing methods perform synchronous message passing along all edges in multiple subsequent rounds and consequently…

Machine Learning · Computer Science 2020-12-21 Julian Busch , Jiaxing Pi , Thomas Seidl

Machine learning potentials have emerged as a means to enhance the accuracy of biomolecular simulations. However, their application is constrained by the significant computational cost arising from the vast number of parameters compared to…

Approximate message passing (AMP) is a low-cost iterative parameter-estimation technique for certain high-dimensional linear systems with non-Gaussian distributions. AMP only applies to independent identically distributed (IID) transform…

Information Theory · Computer Science 2022-06-24 Lei Liu , Shunqi Huang , Brian M. Kurkoski

Approximate message passing (AMP) algorithms are iterative methods for signal recovery in noisy linear systems. In some scenarios, AMP algorithms need to operate within a distributed network. To address this challenge, the distributed…

Signal Processing · Electrical Eng. & Systems 2024-07-26 Jun Lu , Lei Liu , Shunqi Huang , Ning Wei , Xiaoming Chen

A machine learning (ML) based equivariant neural network for constructing distributed charge models (DCMs) of arbitrary resolution, DCM-net, is presented. DCMs efficiently and accurately model the anisotropy of the molecular electrostatic…

Chemical Physics · Physics 2026-02-10 Eric D. Boittier , Markus Meuwly

Predicting quantum operator matrices such as Hamiltonian, overlap, and density matrices in the density functional theory (DFT) framework is crucial for material science. Current methods often focus on individual operators and struggle with…

Materials Science · Physics 2025-03-12 Zhanghao Zhouyin , Zixi Gan , MingKang Liu , Shishir Kumar Pandey , Linfeng Zhang , Qiangqiang Gu

We use HIP-NN, a neural network architecture that excels at predicting molecular energies, to predict atomic charges. The charge predictions are accurate over a wide range of molecules (both small and large) and for a diverse set of charge…