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Machine-learned potentials (MLPs) trained on ab initio data combine the computational efficiency of classical interatomic potentials with the accuracy and generality of the first-principles method used in the creation of the respective…

Chemical Physics · Physics 2024-08-07 Leonid Kahle , Benoit Minisini , Tai Bui , Jeremy T. First , Corneliu Buda , Thomas Goldman , Erich Wimmer

Accurate EV power estimation underpins range prediction and energy management, yet practitioners need both point accuracy and trustworthy uncertainty. We propose an anchored-ensemble Long Short-Term Memory (LSTM) with a Student-t likelihood…

Machine Learning · Computer Science 2025-11-11 Ghazal Farhani , Taufiq Rahman , Kieran Humphries

We consider an equivariant approach imposing data-driven bounds for the variances to avoid singular and spurious solutions in maximum likelihood (ML) estimation of clusterwise linear regression models. We investigate its use in the choice…

Computation · Statistics 2018-04-17 R. Di Mari , R. Rocci , S. A. Gattone

We introduce a method for elucidating and modifying the functionality of systems dominated by rare events that relies on the automated tuning of their underlying free energy surface. The proposed approach seeks to construct collective…

Computational Physics · Physics 2021-08-31 Dan Mendels , Juan J. de Pablo

First-principles atomistic simulations are essential for understanding complex material phenomena but are fundamentally limited by their computational cost. While Machine Learning Interatomic Potentials (MLIPs) have drastically improved…

It is now widely accepted that knowledge can be acquired from networks by clustering their vertices according to connection profiles. Many methods have been proposed and in this paper we concentrate on the Stochastic Block Model (SBM). The…

Applications · Statistics 2010-07-27 Pierre Latouche , Etienne Birmele , Christophe Ambroise

Coarse-grained (CG) models provide an effective route to reducing the complexity of molecular simulations (MD), but conventional approaches depend heavily on long all-atom MD trajectories to adequately sample configurational space. This…

Chemical Physics · Physics 2025-10-28 Maximilian Stupp , P. S. Koutsourelakis

Machine-learning models of atomic-scale interactions achieve the accuracy of the quantum mechanical calculations on which they are trained, but at a dramatically lower computational cost. Their predictions can be made trustworthy by…

Simulating rare events, such as the transformation of a reactant into a product in a chemical reaction typically requires enhanced sampling techniques that rely on heuristically chosen collective variables (CVs). We propose using…

We present a general-purpose machine learning (ML) interatomic potential for carbon and hydrogen which is capable of simulating various materials and molecules composed of these elements. This ML interatomic potential is trained using the…

Chemical Physics · Physics 2024-09-13 Rina Ibragimova , Mikhail S. Kuklin , Tigany Zarrouk , Miguel A. Caro

Machine Learning Interatomic Potentials (MLIPs) enable accurate large-scale atomistic simulations, yet improving their expressive capacity efficiently remains challenging. Here we systematically develop Mixture-of-Experts (MoE) and…

Chemical Physics · Physics 2026-03-13 Yuzhi Liu , Duo Zhang , Anyang Peng , Weinan E , Linfeng Zhang , Han Wang

Extracting compact, physically interpretable representations from high-dimensional scientific data is a persistent challenge due to the complex, nonlinear structures inherent in physical systems. We propose a Gaussian Mixture Variational…

Machine Learning · Computer Science 2025-12-01 Tiffany Fan , Murray Cutforth , Marta D'Elia , Alexandre Cortiella , Alireza Doostan , Eric Darve

Universal machine learning interatomic potentials (uMLIPs) are reshaping atomistic simulation as foundation models, delivering near \textit{ab initio} accuracy at a fraction of the cost. Yet the lack of reliable, general uncertainty…

Materials Science · Physics 2025-07-30 Kai Liu , Zixiong Wei , Wei Gao , Poulumi Dey , Marcel H. F. Sluiter , Fei Shuang

We propose a novel approach for constructing training databases for Machine-Learned Interatomic Potential (MLIP) models, specifically designed to capture phase properties across a wide range of conditions. The framework is uniquely…

Materials Science · Physics 2025-12-03 Vincent G. Fletcher , Albert P. Bartók , Livia B. Pártay

Machine learning interatomic potentials (MLIPs) enable accurate atomistic modelling, but reliable uncertainty quantification (UQ) remains elusive. In this study, we investigate two UQ strategies, ensemble learning and D-optimality, within…

Materials Science · Physics 2025-08-06 Fei Shuang , Zixiong Wei , Kai Liu , Wei Gao , Poulumi Dey

Neural network (NN) interatomic potentials provide fast prediction of potential energy surfaces, closely matching the accuracy of the electronic structure methods used to produce the training data. However, NN predictions are only reliable…

Machine Learning · Computer Science 2021-08-31 Daniel Schwalbe-Koda , Aik Rui Tan , Rafael Gómez-Bombarelli

Uncertainty quantification has been a core of the statistical machine learning, but its computational bottleneck has been a serious challenge for both Bayesians and frequentists. We propose a model-based framework in quantifying…

Machine Learning · Computer Science 2019-06-04 Minsuk Shin , Young Lee , Jun S. Liu

We propose a novel, succinct, and effective approach for distribution prediction to quantify uncertainty in machine learning. It incorporates adaptively flexible distribution prediction of $\mathbb{P}(\mathbf{y}|\mathbf{X}=x)$ in regression…

Machine Learning · Computer Science 2023-06-21 Xing Yan , Yonghua Su , Wenxuan Ma

Controlling polymorphism in molecular crystals is crucial in the pharmaceutical, dye, and pesticide industries. However, its theoretical description is extremely challenging, due to the associated long timescales ($ > 1 \, \mu s$). We…

Chemical Physics · Physics 2023-02-09 Oren Elishav , Roy Podgaetsky , Olga Meikler , Barak Hirshberg

With the widespread success of deep neural networks in science and technology, it is becoming increasingly important to quantify the uncertainty of the predictions produced by deep learning. In this paper, we introduce a new method that…

Machine Learning · Computer Science 2019-08-15 Qingyang Wu , He Li , Lexin Li , Zhou Yu
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