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The use of machine learning (ML) algorithms in molecular simulations has become commonplace in recent years. There now exists, for instance, a multitude of ML force field algorithms that have enabled simulations approaching ab initio level…

Chemical Physics · Physics 2025-04-17 Jakub K. Sowa , Peter J. Rossky

The feature vector mapping used to represent chemical systems is a key factor governing the superior data-efficiency of kernel based quantum machine learning (QML) models applicable throughout chemical compound space. Unfortunately, the…

Chemical Physics · Physics 2023-08-02 Danish Khan , Stefan Heinen , O. Anatole von Lilienfeld

Understanding atomic structures is crucial, yet amorphous materials remain challenging due to their irregular and non-periodic nature. The Wavelet Transform Radial Distribution Function (WT-RDF) offers a physics-based framework for…

Materials Science · Physics 2026-03-17 Deriyan Senjaya , Stephen Ekaputra Limantoro

Data-driven prediction of molecular properties presents unique challenges to the design of machine learning methods concerning data structure/dimensionality, symmetry adaption, and confidence management. In this paper, we present a…

Machine Learning · Computer Science 2019-01-31 Yu-Hang Tang , Wibe A. de Jong

Compositional disorder is common in crystal compounds. In these compounds, some atoms are randomly distributed at some crystallographic sites. For such compounds, randomness forms many non-identical independent structures. Thus, calculating…

Materials Science · Physics 2022-12-23 Mostafa Yaghoobi , Mojtaba Alaei

Radial Basis Function (RBF), or Gaussian, kernels are among the most widely used parametric kernels in machine learning, particularly in methods such as Support Vector Machines (SVM) and kernel-based subspace approaches. The kernel…

General Mathematics · Mathematics 2026-04-03 Lakhdar Remaki

Instant machine learning predictions of molecular properties are desirable for materials design, but the predictive power of the methodology is mainly tested on well-known benchmark datasets. Here, we investigate the performance of machine…

The representations of a compound, called "descriptors" or "features", play an essential role in constructing a machine-learning model of its physical properties. In this study, we adopt a procedure for generating a systematic set of…

Materials Science · Physics 2017-04-26 Atsuto Seko , Hiroyuki Hayashi , Keita Nakayama , Akira Takahashi , Isao Tanaka

We present a quantitatively accurate machine-learning (ML) model for the computational prediction of core-electron binding energies, from which x-ray photoelectron spectroscopy (XPS) spectra can be readily obtained. Our model combines…

We briefly summarize the kernel regression approach, as used recently in materials modelling, to fitting functions, particularly potential energy surfaces, and highlight how the linear algebra framework can be used to both predict and train…

Computational Physics · Physics 2019-02-05 Michele Ceriotti , Michael J. Willatt , Gábor Csányi

We propose a Gradient Boosting algorithm for learning an ensemble of kernel functions adapted to the task at hand. Unlike state-of-the-art Multiple Kernel Learning techniques that make use of a pre-computed dictionary of kernel functions to…

Machine Learning · Statistics 2019-06-17 Léo Gautheron , Pascal Germain , Amaury Habrard , Emilie Morvant , Marc Sebban , Valentina Zantedeschi

We devise a novel technique to control the shape of polymer molecular weight distributions (MWDs) in atom transfer radical polymerization (ATRP). This technique makes use of recent advances in both simulation-based, model-free reinforcement…

Machine learning is used to approximate the kinetic energy of one dimensional diatomics as a functional of the electron density. The functional can accurately dissociate a diatomic, and can be systematically improved with training. Highly…

Chemical Physics · Physics 2015-06-16 John C. Snyder , Matthias Rupp , Katja Hansen , Leo Blooston , Klaus-Robert Müller , Kieron Burke

This paper explores the application of kernel learning methods for parameter prediction and evaluation in the Algebraic Multigrid Method (AMG), focusing on several Partial Differential Equation (PDE) problems. AMG is an efficient iterative…

Numerical Analysis · Mathematics 2025-10-31 Junyue Luo , Xiaoqiang Yue , Fangfang Zhang , Juan Zhang

Machine learning-based models to predict product state distributions from a distribution of reactant conditions for atom-diatom collisions are presented and quantitatively tested. The models are based on function-, kernel- and grid-based…

Chemical Physics · Physics 2020-11-06 Julian Arnold , Debasish Koner , Silvan Käser , Narendra Singh , Raymond J. Bemish , Markus Meuwly

We present an accurate machine learning (ML) model for atomistic simulations of carbon, constructed using the Gaussian approximation potential (GAP) methodology. The potential, named GAP-20, describes the properties of the bulk crystalline…

Computational Physics · Physics 2020-08-26 Patrick Rowe , Volker L Deringer , Piero Gasparotto , Gábor Csányi , Angelos Michaelides

The kernel embedding algorithm is an important component for adapting kernel methods to large datasets. Since the algorithm consumes a major computation cost in the testing phase, we propose a novel teacher-learner framework of learning…

Machine Learning · Statistics 2017-12-08 Jianqiao Wangni , Jingwei Zhuo , Jun Zhu

Accurate simulations of atomistic systems from first principles are limited by computational cost. In high-throughput settings, machine learning can reduce these costs significantly by accurately interpolating between reference…

Chemical Physics · Physics 2022-11-28 Haoyan Huo , Matthias Rupp

This paper addresses distributed learning of a complex object for multiple networked robots based on distributed optimization and kernel-based support vector machine. In order to overcome a fundamental limitation of polynomial kernels…

Robotics · Computer Science 2024-12-17 Toshiyuki Oshima , Junya Yamauchi , Tatsuya Ibuki , Michio Seto , Takeshi Hatanaka

In this work we explore the application of deep neural networks to the optimization of atomic layer deposition processes based on thickness values obtained at different points of an ALD reactor. We introduce a dataset designed to train…

Machine Learning · Computer Science 2024-06-19 Angel Yanguas-Gil , Jeffrey W. Elam
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