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Molecular-orbital-based machine learning (MOB-ML) provides a general framework for the prediction of accurate correlation energies at the cost of obtaining molecular orbitals. We demonstrate the importance of preserving physical…

Chemical Physics · Physics 2021-03-17 Tamara Husch , Jiace Sun , Lixue Cheng , Sebastian J. R. Lee , Thomas F. Miller

Machine learning (ML) in the representation of molecular-orbital-based (MOB) features has been shown to be an accurate and transferable approach to the prediction of post-Hartree-Fock correlation energies. Previous applications of MOB-ML…

Chemical Physics · Physics 2023-03-28 Lixue Cheng , Nikola B. Kovachki , Matthew Welborn , Thomas F. Miller

We address the degree to which machine learning can be used to accurately and transferably predict post-Hartree-Fock correlation energies. Refined strategies for feature design and selection are presented, and the molecular-orbital-based…

Chemical Physics · Physics 2019-04-17 Lixue Cheng , Matthew Welborn , Anders S. Christensen , Thomas F. Miller

This study extends the accurate and transferable molecular-orbital-based machine learning (MOB-ML) approach to modeling the contribution of electron correlation to dipole moments at the cost of Hartree-Fock computations. A…

Chemical Physics · Physics 2022-09-21 Jiace Sun , Lixue Cheng , Thomas F. Miller

We introduce a novel machine learning strategy, kernel addition Gaussian process regression (KA-GPR), in molecular-orbital-based machine learning (MOB-ML) to learn the total correlation energies of general electronic structure theories for…

Chemical Physics · Physics 2024-06-12 Lixue Cheng , Jiace Sun , J. Emiliano Deustua , Vignesh C. Bhethanabotla , Thomas F. Miller

We introduce an unsupervised clustering algorithm to improve training efficiency and accuracy in predicting energies using molecular-orbital-based machine learning (MOB-ML). This work determines clusters via the Gaussian mixture model (GMM)…

Chemical Physics · Physics 2023-03-28 Lixue Cheng , Jiace Sun , Thomas F. Miller

Multi-Modal Learning (MML) integrates information from diverse modalities to improve predictive accuracy. While existing optimization strategies have made significant strides by mitigating gradient direction conflicts, we revisit MML from a…

Machine Learning · Computer Science 2026-02-09 Peizheng Guo , Jingyao Wang , Wenwen Qiang , Jiahuan Zhou , Changwen Zheng , Gang Hua

We present a machine learning (ML) method for predicting electronic structure correlation energies using Hartree-Fock input.The total correlation energy is expressed in terms of individual and pair contributions from occupied molecular…

Chemical Physics · Physics 2018-10-16 Matthew Welborn , Lixue Cheng , Thomas F. Miller

Meta learning with multiple objectives can be formulated as a Multi-Objective Bi-Level optimization Problem (MOBLP) where the upper-level subproblem is to solve several possible conflicting targets for the meta learner. However, existing…

Machine Learning · Computer Science 2021-02-16 Feiyang Ye , Baijiong Lin , Zhixiong Yue , Pengxin Guo , Qiao Xiao , Yu Zhang

As machine learning (ML) applications grow increasingly complex in recent years, modern ML frameworks often need to address multiple potentially conflicting objectives with coupled decision variables across different layers. This creates a…

Machine Learning · Computer Science 2025-11-12 Zhiyao Zhang , Zhuqing Liu , Xin Zhang , Wen-Yen Chen , Jiyan Yang , Jia Liu

The predictive accuracy of Machine Learning (ML) models of molecular properties depends on the choice of the molecular representation. Based on the postulates of quantum mechanics, we introduce a hierarchy of representations which meet…

Chemical Physics · Physics 2016-11-23 Bing Huang , O. Anatole von Lilienfeld

We present an application of the blackbox matrix-matrix multiplication (BBMM) algorithm to scale up the Gaussian Process (GP) training of molecular energies in the molecular-orbital based machine learning (MOB-ML) framework. An alternative…

Chemical Physics · Physics 2023-03-28 Jiace Sun , Lixue Cheng , Thomas F. Miller

Leveraging ab initio data at scale has enabled the development of machine learning models capable of extremely accurate and fast molecular property prediction. A central paradigm of many previous works focuses on generating predictions for…

Computational Physics · Physics 2022-11-30 Kirill Shmilovich , Devin Willmott , Ivan Batalov , Mordechai Kornbluth , Jonathan Mailoa , J. Zico Kolter

The combination of modern scientific computing with electronic structure theory can lead to an unprecedented amount of data amenable to intelligent data analysis for the identification of meaningful, novel, and predictive structure-property…

This paper proposes a machine learning (ML) method to predict stable molecular geometries from their chemical composition. The method is useful for generating molecular conformations which may serve as initial geometries for saving time…

Machine learning (ML) provides access to fast and accurate quantum chemistry (QC) calculations for various properties of interest such as excitation energies. It is often the case that high accuracy in prediction using an ML model, demands…

Chemical Physics · Physics 2024-03-13 Vivin Vinod , Ulrich Kleinekathöfer , Peter Zaspel

Machine learning (ML) is transforming all areas of science. The complex and time-consuming calculations in molecular simulations are particularly suitable for a machine learning revolution and have already been profoundly impacted by the…

Chemical Physics · Physics 2019-11-11 Frank Noé , Alexandre Tkatchenko , Klaus-Robert Müller , Cecilia Clementi

We develop a combined machine learning (ML) and quantum mechanics approach that enables data-efficient reconstruction of flexible molecular force fields from high-level ab initio calculations, through the consideration of fundamental…

Computational Physics · Physics 2021-04-14 Stefan Chmiela , Huziel E. Sauceda , Alexandre Tkatchenko , Klaus-Robert Müller

Magnet errors in storage rings significantly degrade beam performance, impacting the brightness and stability of the light source. Therefore, beam-based correction is crucial for the safe operation of machines and the stability of radiated…

Accelerator Physics · Physics 2025-12-18 Jianhao Xu

Mesh-free numerical methods offer flexibility in discretising complex geometries, showing potential where mesh-based methods struggle. While high-order approximations can be obtained via consistency correction using linear systems, they…

Computational Physics · Physics 2025-04-18 Lucas Gerken Starepravo , Georgios Fourtakas , Steven Lind , Ajay Harish , Jack R. C. King
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