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To quantify the progress in development of algorithms and forcefields used in molecular simulations, a method for the assessment of the sampling quality is needed. We propose a general method to assess the sampling quality through the…

Computational Physics · Physics 2010-02-22 Xin Zhang , Divesh Bhatt , Daniel M. Zuckerman

In a previous work [L.Delle Site, J.Phys.A 40, 2787 (2007)] the derivation of an analytic expression for the kinetic functional of a many-body electron system has been proposed. Though analytical, the formula is still non local…

Quantum Physics · Physics 2009-11-13 Luca M. Ghiringhelli , Luigi Delle Site

Metropolis simulations of all-atom models of peptides (i.e. small proteins) are considered. Inspired by the funnel picture of Bryngelson and Wolyness, a transformation of the updating probabilities of the dihedral angles is defined, which…

Statistical Mechanics · Physics 2009-11-10 Bernd A. Berg

Metastability is a common obstacle to performing long molecular dynamics simulations. Many numerical methods have been proposed to overcome it. One method is parallel replica dynamics, which relies on the rapid convergence of the underlying…

Numerical Analysis · Mathematics 2015-05-20 Andrew Binder , Tony Lelièvre , Gideon Simpson

Enhanced sampling techniques such as umbrella sampling and metadynamics are now routinely used to provide information on how the thermodynamic potential, or free energy, depends on a small number of collective variables. The free energy…

Computational Physics · Physics 2018-08-31 Ilaria Gimondi , Gareth A. Tribello , Matteo Salvalaglio

Sampling from flat modes in discrete spaces is a crucial yet underexplored problem. Flat modes represent robust solutions and have broad applications in combinatorial optimization and discrete generative modeling. However, existing sampling…

Machine Learning · Computer Science 2025-05-19 Pinaki Mohanty , Riddhiman Bhattacharya , Ruqi Zhang

The uniform sampling of convex regions in high dimension is an important computational issue, from both theoretical and applied point of view. The hit-and-run montecarlo algorithms are the most efficient methods known to perform it and one…

Statistical Mechanics · Physics 2015-06-18 G. De Concini , D. De Martino

The combined algorithm selection and hyperparameter tuning (CASH) problem is characterized by large hierarchical hyperparameter spaces. Model-free hyperparameter tuning methods can explore such large spaces efficiently since they are highly…

Machine Learning · Computer Science 2019-11-22 Dimitrios Sarigiannis , Thomas Parnell , Haris Pozidis

We propose a new Monte Carlo method for efficiently sampling trajectories with fixed initial and final conditions in a system with discrete degrees of freedom. The method can be applied to any stochastic process with local interactions,…

Statistical Mechanics · Physics 2012-03-30 Thierry Mora , Aleksandra M. Walczak , Francesco Zamponi

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

Sampling random graphs with given properties is a key step in the analysis of networks, as random ensembles represent basic null models required to identify patterns such as communities and motifs. An important requirement is that the…

Methodology · Statistics 2015-02-23 Tiziano Squartini , Rossana Mastrandrea , Diego Garlaschelli

The effectiveness of a new algorithm, parallel tempering, is studied for numerical simulations of biological molecules. These molecules suffer from a rough energy landscape. The resulting slowing down in numerical simulations is overcome by…

Chemical Physics · Physics 2009-10-30 Ulrich H. E. Hansmann

Proposed here is a dynamic Monte-Carlo algorithm that is efficient in simulating dense systems of long flexible chain molecules. It expands on the configurational-bias Monte-Carlo method through the simultaneous generation of a large set of…

Statistical Mechanics · Physics 2018-08-29 Niels Boon

We present a new computational approach, Action-CSA, to sample multiple reaction pathways with fixed initial and final states through global optimization of the Onsager-Machlup action using the conformational space annealing method. This…

Chemical Physics · Physics 2017-10-26 Juyong Lee , In-Ho Lee , InSuk Joung , Jooyoung Lee , Bernard R. Brooks

We present the speedup from a novel parallel implementation of the multicanonical method on the example of a lattice gas in two and three dimensions. In this approach, all cores perform independent equilibrium runs with identical weights,…

Statistical Mechanics · Physics 2015-01-27 Johannes Zierenberg , Micha Wiedenmann , Wolfhard Janke

Sampling-based algorithms are widely used for motion planning in high-dimensional configuration spaces. However, due to low sampling efficiency, their performance often diminishes in complex configuration spaces with narrow corridors.…

Robotics · Computer Science 2025-07-22 Lu Huang , Lingxiao Meng , Jiankun Wang , Xingjian Jing

Performing alchemical transformations, in which one molecular system is nonphysically changed to another system, is a popular approach adopted in performing free energy calculations associated with various biophysical processes, such as…

Statistical Mechanics · Physics 2023-12-15 Wei-Tse Hsu , Valerio Piomponi , Pascal T. Merz , Giovanni Bussi , Michael R. Shirts

We introduce a generic, parallel Wang-Landau method that is naturally suited to implementation on massively parallel, petaflop supercomputers. The approach introduces a replica-exchange framework in which densities of states for overlapping…

Computational Physics · Physics 2015-06-18 Ying Wai Li , Thomas Vogel , Thomas Wüst , David P. Landau

Space filling designs are central to studying complex systems in various areas of science. They are used for obtaining an overall understanding of the behaviour of the response over the input space, model construction and uncertainty…

Methodology · Statistics 2016-08-10 Shirin Golchi , Jason L. Loeppky

Finding better solutions to combinatorial optimization problems could have a large positive impact on many real-world application areas, such as logistics. For this reason, significant efforts have been made to design novel optimisation…