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The Method of Continuous Molecular Fields is a universal approach to predict various properties of chemical compounds, in which molecules are represented by means of continuous fields (such as electrostatic, steric, electron density…

Chemical Physics · Physics 2013-11-07 Igor I. Baskin , Nelly I. Zhokhova

Machine learning (ML) has emerged as a pervasive tool in science, engineering, and beyond. Its success has also led to several synergies with molecular dynamics (MD) simulations, which we use to identify and characterize the major…

Biomolecules · Quantitative Biology 2022-05-09 Christopher Kolloff , Simon Olsson

Breast cancer detection is still an open research field, despite a tremendous effort devoted to work in this area. Effect size is a statistical concept that measures the strength of the relationship between two variables on a numeric scale.…

Machine Learning · Statistics 2024-11-12 Nicolas Masino , Antonio Quintero-Rincon

Size and shape are critical discriminators between molecular species and states. We describe a micro-chip based high-throughput imaging approach offering rapid and precise determination of molecular properties under native solution…

Embedding molecular symmetries into machine-learning models is key for efficient learning of chemico-physical scalar properties, but little evidence on how to extend the same strategy to tensorial quantities exists. Here we formulate a…

Materials Science · Physics 2022-04-27 Vu Ha Anh Nguyen , Alessandro Lunghi

We propose a descriptor for molecular electronic structure that is based solely on the one- and two-electron integrals but is translationally, rotationally, and unitarily invariant. Then, directly exploiting size consistency, we train and…

Quantum Physics · Physics 2026-03-02 Valerii Chuiko , Giovanni B. Da Rosa , Paul W. Ayers

We apply scaling and the theory of the fundamental limits of the second-order molecular susceptibility to identify material classes with ultralarge nonlinear-optical response. Size effects are removed by normalizing all nonlinearities to…

Optics · Physics 2016-11-03 Javier Perez-Moreno , Shoresh Shafei , Mark G. Kuzyk

Recently, machine learning potentials have been advanced as candidates to combine the high-accuracy of quantum mechanical simulations with the speed of classical interatomic potentials. A crucial component of a machine learning potential is…

Computational Physics · Physics 2019-07-05 Emir Kocer , Jeremy K. Mason , Hakan Erturk

Recently, persistent homology has had tremendous success in biomolecular data analysis. It works by examining the topological relationship or connectivity of a group of atoms in a molecule at a variety of scales, then rendering a family of…

Biomolecules · Quantitative Biology 2019-03-27 David Bramer , Guo-Wei Wei

Despite the fundamental progress in autonomous molecular and materials discovery, data scarcity throughout chemical compound space still severely hampers the use of modern ready-made machine learning models as they rely heavily on the…

Chemical Physics · Physics 2023-11-30 Dominik Lemm , Guido Falk von Rudorff , O. Anatole von Lilienfeld

The availability of big data in materials science offers new routes for analyzing materials properties and functions and achieving scientific understanding. Finding structure in these data that is not directly visible by standard tools and…

In this work, we discuss use of machine learning techniques for rapid prediction of detonation properties including explosive energy, detonation velocity, and detonation pressure. Further, analysis is applied to individual molecules in…

Machine-learning models based on a point-cloud representation of a physical object are ubiquitous in scientific applications and particularly well-suited to the atomic-scale description of molecules and materials. Among the many different…

Chemical Physics · Physics 2023-03-08 Filippo Bigi , Sergey N. Pozdnyakov , Michele Ceriotti

The training of molecular models of quantum mechanical properties based on statistical machine learning requires large datasets which exemplify the map from chemical structure to molecular property. Intelligent a priori selection of…

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

Rational design of compounds with specific properties requires conceptual understanding and fast evaluation of molecular properties throughout chemical compound space (CCS) -- the huge set of all potentially stable molecules. Recent…

Chemical Physics · Physics 2019-12-02 O. Anatole von Lilienfeld , Klaus-Robert Müller , Alexandre Tkatchenko

Machine learning (ML) of quantum mechanical properties shows promise for accelerating chemical discovery. For transition metal chemistry where accurate calculations are computationally costly and available training data sets are small, the…

Materials Science · Physics 2017-11-07 Jon Paul Janet , Heather J. Kulik

Deep Learning (DL) algorithms hold great promise for applications in the field of computational biophysics. In fact, the vast amount of available molecular structures, as well as their notable complexity, constitutes an ideal context in…

Soft Condensed Matter · Physics 2019-01-07 Marco Giulini , Raffaello Potestio

Knowledge of the domain of applicability of a machine learning model is essential to ensuring accurate and reliable model predictions. In this work, we develop a new and general approach of assessing model domain and demonstrate that our…

Materials Science · Physics 2025-03-25 Lane E. Schultz , Yiqi Wang , Ryan Jacobs , Dane Morgan

Machine learning (ML) methods are being increasingly used across various domains of medicine research. However, despite advancements in the use of ML in medicine, clear and definitive guidelines for determining sample sizes in medical ML…

Methodology · Statistics 2025-03-11 Wan Nor Arifin , Najib Majdi Yaacob