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The weighted ensemble (WE) method, an enhanced sampling approach based on periodically replicating and pruning trajectories in a set of parallel simulations, has grown increasingly popular for computational biochemistry problems, due in…

Computational Physics · Physics 2023-06-23 D. Aristoff , J. Copperman , G. Simpson , R. J. Webber , D. M. Zuckerman

We propose parameter optimization techniques for weighted ensemble sampling of Markov chains in the steady-state regime. Weighted ensemble consists of replicas of a Markov chain, each carrying a weight, that are periodically resampled…

Numerical Analysis · Mathematics 2022-04-22 David Aristoff , Daniel M. Zuckerman

We extend the weighted ensemble (WE) path sampling method to perform rigorous statistical sampling for systems at steady state. The straightforward steady-state implementation of WE is directly practical for simple landscapes, but not when…

Biological Physics · Physics 2015-05-14 Divesh Bhatt , Bin W. Zhang , Daniel M. Zuckerman

The "weighted ensemble" method, introduced by Huber and Kim, [G. A. Huber and S. Kim, Biophys. J. 70, 97 (1996)], is one of a handful of rigorous approaches to path sampling of rare events. Expanding earlier discussions, we show that the…

Computational Physics · Physics 2009-12-21 Bin W. Zhang , Daniel M. Zuckerman , David Jasnow

We provide an algorithm based on weighted-ensemble (WE) methods, to accurately sample systems at steady state. Applying our method to different one- and two-dimensional models, we succeed to calculate steady state probabilities of order…

Statistical Mechanics · Physics 2015-06-15 Justus A. Kromer , Lutz Schimansky-Geier , Raul Toral

The weighted ensemble (WE) simulation strategy provides unbiased sampling of non-equilibrium processes, such as molecular folding or binding, but the extraction of rate constants relies on characterizing steady state behavior.…

Statistical Mechanics · Physics 2020-10-02 Jeremy Copperman , Daniel Zuckerman

Weighted ensemble (WE) is an enhanced path-sampling method that is conceptually simple, widely applicable, and statistically exact. In a WE simulation, an ensemble of trajectories is periodically pruned or replicated to enhance sampling of…

Estimating rare event kinetics from molecular dynamics simulations is a non-trivial task despite the great advances in enhanced sampling methods. Weighted Ensemble (WE) simulation, a special class of enhanced sampling techniques, offers a…

Soft Condensed Matter · Physics 2025-01-16 Sudipta Mitra , Ranjit Biswas , Suman Chakrabarty

We introduce an extension to the Weighted Ensemble (WE) path sampling method to restrict sampling to a one dimensional path through a high dimensional phase space. Our method, which is based on the finite-temperature string method, permits…

Statistical Mechanics · Physics 2013-01-25 Joshua L. Adelman , Michael Grabe

We introduce the well-tempered ensemble (WTE) which is the biased ensemble sampled by well-tempered metadynamics when the energy is used as collective variable. WTE can be designed so as to have approximately the same average energy as the…

Statistical Mechanics · Physics 2015-05-14 M. Bonomi , M. Parrinello

Finding and sampling multiple reaction channels for molecular transitions remains an important challenge in physical chemistry. Here we show that the weighted ensemble (WE) path sampling method can readily sample multiple channels. In a…

Biological Physics · Physics 2009-02-17 Bin W. Zhang , David Jasnow , Daniel M. Zuckerman

Equilibrium formally can be represented as an ensemble of uncoupled systems undergoing unbiased dynamics in which detailed balance is maintained. Many non-equilibrium processes can be described by suitable subsets of the equilibrium…

The weighted ensemble (WE) method stands out as a widely used segment-based sampling technique renowned for its rigorous treatment of kinetics. The WE framework typically involves initially mapping the configuration space onto a…

Computational Physics · Physics 2024-11-19 Dedi Wang , Pratyush Tiwary

Ensemble learning is a mainstay in modern data science practice. Conventional ensemble algorithms assign to base models a set of deterministic, constant model weights that (1) do not fully account for individual models' varying accuracy…

Methodology · Statistics 2019-04-02 Jeremiah Zhe Liu , John Paisley , Marianthi-Anna Kioumourtzoglou , Brent A. Coull

We apply the "weighted ensemble" (WE) simulation strategy, previously employed in the context of molecular dynamics simulations, to a series of systems-biology models that range in complexity from one-dimensional to a system with 354…

Molecular Networks · Quantitative Biology 2015-03-11 Rory M. Donovan , Andrew J. Sedgewick , James R. Faeder , Daniel M. Zuckerman

Image classification technology and performance based on Deep Learning have already achieved high standards. Nevertheless, many efforts have conducted to improve the stability of classification via ensembling. However, the existing ensemble…

Computer Vision and Pattern Recognition · Computer Science 2021-04-12 YeongHyeon Park , JoonSung Lee , Wonseok Park

Model-based deep reinforcement learning has achieved success in various domains that require high sample efficiencies, such as Go and robotics. However, there are some remaining issues, such as planning efficient explorations to learn more…

Machine Learning · Computer Science 2021-07-06 Yao Yao , Li Xiao , Zhicheng An , Wanpeng Zhang , Dijun Luo

Mixture modeling, which considers the potential heterogeneity in data, is widely adopted for classification and clustering problems. Mixture models can be estimated using the Expectation-Maximization algorithm, which works with the complete…

Methodology · Statistics 2022-03-18 Shonosuke Sugasawa , Genya Kobayashi

We present a detailed description of our submission for the M4 forecasting competition, in which it ranked 3rd overall. Our solution utilizes several commonly used statistical models, which are weighted according to their performance on…

Applications · Statistics 2019-01-11 Maciej Pawlikowski , Agata Chorowska

To directly simulate rare events using atomistic molecular dynamics is a significant challenge in computational biophysics. Well-established enhanced-sampling techniques do exist to obtain the thermodynamic functions for such systems. But…

Statistical Mechanics · Physics 2020-07-21 Dhiman Ray , Ioan Andricioaei
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