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All-atom dynamics simulations are an indispensable quantitative tool in physics, chemistry, and materials science, but large systems and long simulation times remain challenging due to the trade-off between computational efficiency and…

Materials Science · Physics 2024-03-21 Stephen R. Xie , Matthias Rupp , Richard G. Hennig

We propose and analyze a novel framework for learning sparse representations, based on two statistical techniques: kernel smoothing and marginal regression. The proposed approach provides a flexible framework for incorporating feature…

Machine Learning · Statistics 2012-10-04 Krishnakumar Balasubramanian , Kai Yu , Guy Lebanon

We consider learning with possibilistic supervision for multi-class classification. For each training instance, the supervision is a normalized possibility distribution that expresses graded plausibility over the classes. From this…

Artificial Intelligence · Computer Science 2026-04-03 Ismaïl Baaj , Pierre Marquis

We demonstrate the application of artificial neural network (ANN) models to reverse Monte Carlo based thermodynamic calculations. Adsorption isotherms are generated for 2D square and triangular lattices. These lattices are considered…

Statistical Mechanics · Physics 2023-02-01 Akash Kumar Ball , Swati Rana , Gargi Agrahari , Abhijit Chatterjee

In this paper we accomplish the development of the fast rank-adaptive solver for tensor-structured symmetric positive definite linear systems in higher dimensions. In [arXiv:1301.6068] this problem is approached by alternating minimization…

Numerical Analysis · Mathematics 2014-10-07 Sergey V. Dolgov , Dmitry V. Savostyanov

In this paper, we develop a new elegant framework relying on the Kullback-Leibler Information Criterion to address the design of one-stage adaptive detection architectures for multiple hypothesis testing problems. Specifically, at the…

Signal Processing · Electrical Eng. & Systems 2021-03-23 Pia Addabbo , Sudan Han , Fillippo Biondi , Gaetano Giunta , Danilo Orlando

Metadynamics, a member of the `flat histogram' class of advanced sampling algorithms, has been widely used in molecular simulations to drive the exploration of states separated by high free energy barriers and promote comprehensive sampling…

Computational Physics · Physics 2021-09-13 Shanghui Huang , Michael J. Quevillon , Ernesto C. Cortés-Morales , Jonathan K. Whitmer

The next generation of force fields for molecular dynamics will be developed using a wealth of data. Training systematically with experimental data remains a challenge, however, especially for machine learning potentials. Differentiable…

Biomolecules · Quantitative Biology 2025-04-16 Joe G Greener

Diffusive molecular dynamics is a novel model for materials with atomistic resolution that can reach diffusive time scales. The main ideas of diffusive molecular dynamics are to first minimize an approximate variational Gaussian free energy…

Numerical Analysis · Mathematics 2015-06-09 Gideon Simpson , Mitchell Luskin , David J. Srolovitz

Diffusion-based samplers learn to sample complex, high-dimensional distributions using energies or log densities alone, without training data. Yet, they remain impractical for molecular sampling because they are often slower than molecular…

A new simulated tempering method, which is referred to as simulated tempering umbrella sampling, for calculating the free energy of chemical reactions is proposed. First principles molecular dynamics simulations with this simulated…

Statistical Mechanics · Physics 2012-06-05 Yoshiharu Mori , Yuko Okamoto

The accurate prediction of solvation free energy is of significant importance as it governs the behavior of solutes in solution. In this work, we apply a variety of machine learning techniques to predict and analyze the alchemical free…

Chemical Physics · Physics 2024-11-11 Mingjun Han , Yukai Zhang , Taotao Yu , Guodong Du , ChiYung Yam , Ho-Kin Tang

Traditional machine learning methods usually minimize a simple loss function to learn a predictive model, and then use a complex performance measure to measure the prediction performance. However, minimizing a simple loss function cannot…

Machine Learning · Computer Science 2015-11-19 Ning Zhang , Prathamesh Chandrasekar

Nested sampling is a Bayesian sampling technique developed to explore probability distributions lo- calised in an exponentially small area of the parameter space. The algorithm provides both posterior samples and an estimate of the evidence…

Biomolecules · Quantitative Biology 2015-03-17 Nikolas S. Burkoff , Csilla Varnai , Stephen A. Wells , David L. Wild

Energy-based models (EBMs) have experienced a resurgence within machine learning in recent years, including as a promising alternative for probabilistic regression. However, energy-based regression requires a proposal distribution to be…

Machine Learning · Computer Science 2023-11-08 Fredrik K. Gustafsson , Martin Danelljan , Thomas B. Schön

Machine learning (ML) potentials are a powerful tool in molecular modeling, enabling ab initio accuracy for comparably small computational costs. Nevertheless, all-atom simulations employing best-performing graph neural network…

Chemical Physics · Physics 2025-05-13 Sebastien Röcken , Anton F. Burnet , Julija Zavadlav

Clustering functional data is a challenging task due to intrinsic infinite-dimensionality and the need for stable, data-adaptive partitioning. In this work, we propose a clustering framework based on Random Projections, which simultaneously…

Methodology · Statistics 2025-12-18 Matteo Mori , Laura Anderlucci

In this article the configurational space of two simple protein models consisting of polymers composed of a periodic sequence of four different kinds of monomers is studied as a function of temperature. In the protein models, hydrogen bond…

Soft Condensed Matter · Physics 2012-03-26 Hanif Bayat Movahed , Ramses van Zon , Jeremy Schofield

Umbrella sampling is an efficient method for the calculation of free energy changes of a system along well-defined reaction coordinates. However, when multiple parallel channels along the reaction coordinate or hidden barriers in directions…

Methodology · Statistics 2015-06-16 Mingjun Yang , Lijiang Yang , Yiqin Gao , Hao Hu

Data scarcity, bias, and experimental noise are all frequently encountered problems in the application of deep learning to chemical and material science disciplines. Transfer learning has proven effective in compensating for the lack in…

Chemical Physics · Physics 2021-03-16 Florence H. Vermeire , William H. Green
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