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Related papers: Intrinsic Dimensionality of Molecular Properties

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Molecular representations fundamentally shape how machine learning systems reason about molecular structure and physical properties. Most existing approaches adopt a discrete pipeline: molecules are encoded as sequences, graphs, or point…

This paper introduces a new notion of dimensionality of probabilistic models from an information-theoretic view point. We call it the "descriptive dimension"(Ddim). We show that Ddim coincides with the number of independent parameters for…

Machine Learning · Computer Science 2019-10-28 Kenji Yamanishi

Molecular dynamics (MD) simulations are used in biochemistry, physics, and other fields to study the motions, thermodynamic properties, and the interactions between molecules. Computational limitations and the complexity of these problems,…

Numerical Analysis · Mathematics 2018-01-17 F. Grogan , M. Holst , L. Lindblom , R. Amaro

Conventional molecular dynamics simulations macromolecules require long computational times because the most interesting motions are very slow compared with the fast oscillations of bond lengths and bond angles that limit the integration…

Chemical Physics · Physics 2008-02-03 Alexey K. Mazur

The curse of dimensionality is a phenomenon frequently observed in machine learning (ML) and knowledge discovery (KD). There is a large body of literature investigating its origin and impact, using methods from mathematics as well as from…

Artificial Intelligence · Computer Science 2022-04-22 Tom Hanika , Friedrich Martin Schneider , Gerd Stumme

A key challenge in automated chemical compound space explorations is ensuring veracity in minimum energy geometries---to preserve intended bonding connectivities. We discuss an iterative high-throughput workflow for connectivity preserving…

Chemical Physics · Physics 2020-10-16 Salini Senthil , Sabyasachi Chakraborty , Raghunathan Ramakrishnan

The extraordinary success in laser cooling, trapping, and coherent manipulation of atoms has energized the efforts in extending this exquisite control to molecules. Not only are molecules ubiquitous in nature, but the control of their…

Atomic Physics · Physics 2022-04-27 D. Mitra , K. H. Leung , T. Zelevinsky

Combined-resolution simulations are an effective way to study molecular properties across a range of length- and time-scales. These simulations can benefit from adaptive boundaries that allow the high-resolution region to adapt (change size…

Computational Physics · Physics 2018-05-09 Jason A. Wagoner , Vijay S. Pande

Quantum embedding methods have become a powerful tool to overcome deficiencies of traditional quantum modelling in materials science. However, while these are systematically improvable in principle, in practice it is rarely possible to…

Strongly Correlated Electrons · Physics 2022-11-02 Max Nusspickel , George H. Booth

Molecular Property Prediction (MPP) plays a pivotal role across diverse domains, spanning drug discovery, material science, and environmental chemistry. Fueled by the exponential growth of chemical data and the evolution of artificial…

Machine Learning · Computer Science 2024-08-23 Tanya Liyaqat , Tanvir Ahmad , Chandni Saxena

Computational molecular design -- the endeavor to design molecules, with various missions, aided by machine learning and molecular dynamics approaches, has been widely applied to create valuable new molecular entities, from small molecule…

Deep potentials for molecular dynamics (MD) achieve first-principles accuracy at much lower computational cost. However, their use in large length- and time-scale simulations is limited by their lower speeds compared to analytical atomistic…

Materials Science · Physics 2023-06-19 Or Shafir , Ilya Grinberg

Machine learning advances chemistry and materials science by enabling large-scale exploration of chemical space based on quantum chemical calculations. While these models supply fast and accurate predictions of atomistic chemical…

Chemical Physics · Physics 2019-06-25 K. T. Schütt , M. Gastegger , A. Tkatchenko , K. -R. Müller , R. J. Maurer

The length and time scales of atomistic simulations are limited by the computational cost of the methods used to predict material properties. In recent years there has been great progress in the use of machine learning algorithms to develop…

Computational Physics · Physics 2022-11-03 Alberto Hernandez , Adarsh Balasubramanian , Fenglin Yuan , Simon Mason , Tim Mueller

The traditional display of elements in the periodic table is convenient for the study of chemistry and physics. However, the atomic number alone is insufficient for training statistical machine learning models to describe and extract…

Materials Science · Physics 2023-08-25 Anthony Onwuli , Ashish V. Hegde , Kevin Nguyen , Keith T. Butler , Aron Walsh

Owing to its high scalability and computational efficiency, machine learning methods have been increasingly integrated into various scientific research domains, including ab initio-based materials design. It has been demonstrated that, by…

Materials Science · Physics 2025-10-16 Feng Chen , Shu Li , Xin Chen , Dennis Wong , Biplab Sanyal , Duo Wang

A broad variety of liquids conform to density scaling: relaxation times expressed as a function of the ratio of temperature to density, the latter raised to a material constant {\gamma}. For atomic liquids interacting only through simple…

Soft Condensed Matter · Physics 2019-06-26 D. Fragiadakis , C. M. Roland

Confinement can substantially alter the physicochemical properties of materials by breaking translational isotropy and rendering all physical properties position-dependent. Molecular dynamics (MD) simulations have proven instrumental in…

Statistical Mechanics · Physics 2024-02-06 Tiago Domingues , Ronald Coifman , Amir Haji-Akbari

Electronic nearsightedness is one of the fundamental principles governing the behavior of condensed matter and supporting its description in terms of local entities such as chemical bonds. Locality also underlies the tremendous success of…

Computational Physics · Physics 2020-09-01 Andrea Grisafi , Jigyasa Nigam , Michele Ceriotti

Machine learning (ML) methods are being used in almost every conceivable area of electronic structure theory and molecular simulation. In particular, ML has become firmly established in the construction of high-dimensional interatomic…

Chemical Physics · Physics 2021-06-22 Julia Westermayr , Michael Gastegger , Kristof T. Schütt , Reinhard J. Maurer