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A new algorithm for the symbolic computation of polynomial conserved densities for systems of nonlinear evolution equations is presented. The algorithm is implemented in Mathematica. The program condens.m automatically carries out the…

solv-int · Physics 2008-02-03 Unal Goktas , Willy Hereman

Molecular dynamics simulations use statistical mechanics at the atomistic scale to enable both the elucidation of fundamental mechanisms and the engineering of matter for desired tasks. The behavior of molecular systems at the microscale is…

Computational Physics · Physics 2020-12-25 Wujie Wang , Simon Axelrod , Rafael Gómez-Bombarelli

Solving partial differential equations (PDEs) using an annealing-based approach involves solving generalized eigenvalue problems. Discretizing a PDE yields a system of linear equations (SLE). Solving an SLE can be formulated as a general…

Numerical Analysis · Mathematics 2026-05-11 Kazue Kudo

Mathematical methods provide useful framework for the analysis and design of complex systems. In newer contexts such as biology, however, there is a need to both adapt existing methods as well as to develop new ones. Using a combination of…

Molecular Networks · Quantitative Biology 2017-12-06 Abhishek Dey , Shaunak Sen

This paper describes the use of neural networks to enhance simulations for subsequent training of anomaly-detection systems. Simulations can provide edge conditions for anomaly detection which may be sparse or non-existent in real-world…

Neural and Evolutionary Computing · Computer Science 2020-11-06 Philip Feldman

Computational models of human language often involve combinatorial problems. For instance, a probabilistic parser may marginalize over exponentially many trees to make predictions. Algorithms for such problems often employ dynamic…

Computation and Language · Computer Science 2021-09-16 Tim Vieira , Ryan Cotterell , Jason Eisner

In complex systems with many degrees of freedom such as peptides and proteins there exist a huge number of local-minimum-energy states. Conventional simulations in the canonical ensemble are of little use, because they tend to get trapped…

Statistical Mechanics · Physics 2007-05-23 Ayori Mitsutake , Yuji Sugita , Yuko Okamoto

Gene expression programming is an evolutionary optimization algorithm with the potential to generate interpretable and easily implementable equations for regression problems. Despite knowledge gained from previous optimizations being…

Neural and Evolutionary Computing · Computer Science 2025-02-05 Maximilian Reissmann , Yuan Fang , Andrew S. H. Ooi , Richard D. Sandberg

Despite their ability to understand chemical knowledge, large language models (LLMs) remain limited in their capacity to propose novel molecules with desired functions (e.g., drug-like properties). In addition, the molecules that LLMs…

Computational study of molecules and materials from first principles is a cornerstone of physics, chemistry, and materials science, but limited by the cost of accurate and precise simulations. In settings involving many simulations, machine…

Computational Physics · Physics 2022-03-17 Marcel F. Langer , Alex Goeßmann , Matthias Rupp

Automated analyses of the outcome of a simulation have been an important part of atomistic modeling since the early days, addressing the need of linking the behavior of individual atoms and the collective properties that are usually the…

Chemical Physics · Physics 2019-05-22 Michele Ceriotti

Molecular dynamics simulations are widely used across chemistry, physics, and biology, providing quantitative insight into complex processes with atomic detail. However, their limited timescale of a few microseconds is a significant…

Chemical Physics · Physics 2025-04-10 Ofir Blumer , Barak Hirshberg

Motivation: ``Molecular signatures'' or ``gene-expression signatures'' are used to predict patients' characteristics using data from coexpressed genes. Signatures can enhance understanding about biological mechanisms and have diagnostic…

Quantitative Methods · Quantitative Biology 2007-05-23 Ramon Diaz-Uriarte

Automated computational analysis of the vast chemical space is critical for numerous fields of research such as drug discovery and material science. Representation learning techniques have recently been employed with the primary objective…

Quantitative Methods · Quantitative Biology 2023-05-26 Atakan Yüksel , Erva Ulusoy , Atabey Ünlü , Tunca Doğan

As one of the most robust global optimization methods, simulated annealing has received considerable attention, with many variations that attempt to improve the cooling schedule. This paper introduces a variant of simulated annealing that…

Chemical Physics · Physics 2020-02-17 Mariia Karabin , Steven J. Stuart

A new model for evolving Evolutionary Algorithms (EAs) is proposed in this paper. The model is based on the Multi Expression Programming (MEP) technique. Each MEP chromosome encodes an evolutionary pattern that is repeatedly used for…

Neural and Evolutionary Computing · Computer Science 2021-10-13 Mihai Oltean

Numerous algorithms and parallelisations have been developed for short-range particle simulations; however, none are optimally performant for all scenarios. Such a concept led to the prior development of the particle simulation library…

Computational Engineering, Finance, and Science · Computer Science 2025-05-07 Samuel James Newcome , Fabio Alexander Gratl , Manuel Lerchner , Abdulkadir Pazar , Manish Kumar Mishra , Hans-Joachim Bungartz

Materials discovery requires navigating vast chemical and structural spaces while satisfying multiple, often conflicting, objectives. We present LLM-guided Evolution for MAterials discovery (LLEMA), a unified framework that couples the…

Machine Learning · Computer Science 2026-03-06 Nikhil Abhyankar , Sanchit Kabra , Saaketh Desai , Chandan K. Reddy

A generic algorithm for the extraction of probabilistic (Bayesian) information about model parameters from data is presented. The algorithm propagates an ensemble of particles in the product space of model parameters and outputs. Each…

Computation · Statistics 2015-09-18 Carlo Albert

Feature selection has been widely used to alleviate compute requirements during training, elucidate model interpretability, and improve model generalizability. We propose SLM -- Sparse Learnable Masks -- a canonical approach for end-to-end…

Machine Learning · Computer Science 2023-04-07 Yihe Dong , Sercan O. Arik
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