Repository: Freie Universität Berlin, Math Department

Stochastic Approximation to MBAR and TRAM: Batchwise Free Energy Estimation

Galama, Maaike M. and Wu, Hao and Krämer, Andreas and Sadeghi, Mohsen and Noé, Frank (0001) Stochastic Approximation to MBAR and TRAM: Batchwise Free Energy Estimation. Journal of Chemical Theory and Computation (JCTC), 19 (3). pp. 758-766.

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The dynamics of molecules are governed by rare event transitions between long-lived (metastable) states. To explore these transitions efficiently, many enhanced sampling protocols have been introduced that involve using simulations with biases or changed temperatures. Two established statistically optimal estimators for obtaining unbiased equilibrium properties from such simulations are the multistate Bennett acceptance ratio (MBAR) and the transition-based reweighting analysis method (TRAM). Both MBAR and TRAM are solved iteratively and can suffer from long convergence times. Here, we introduce stochastic approximators (SA) for both estimators, resulting in SAMBAR and SATRAM, which are shown to converge faster than their deterministic counterparts, without significant accuracy loss. Both methods are demonstrated on different molecular systems.

Item Type:Article
Subjects:Mathematical and Computer Sciences
Mathematical and Computer Sciences > Mathematics
Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:3041
Deposited By: Jana Jerosch
Deposited On:17 Jan 2024 13:40
Last Modified:17 Jan 2024 13:40

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