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In this work, we study how to use sampling to speed up mechanisms for answering adaptive queries into datasets without reducing the accuracy of those mechanisms. This is important to do when both the datasets and the number of queries asked…

Machine Learning · Computer Science 2020-01-03 Benjamin Fish , Lev Reyzin , Benjamin I. P. Rubinstein

Motivated by critical challenges and needs from biopharmaceuticals manufacturing, we propose a general metamodel-assisted stochastic simulation uncertainty analysis framework to accelerate the development of a simulation model with modular…

Methodology · Statistics 2022-09-07 Wei Xie , Russell R. Barton , Barry L. Nelson , Keqi Wang

Empirical force fields employed in molecular dynamics simulations of complex systems can be optimised to reproduce experimentally determined structural and thermodynamic properties. In contrast, experimental knowledge about the rates of…

Statistical Mechanics · Physics 2022-07-12 P. G. Bolhuis , Z. F. Brotzakis , B. G. Keller

We present a method to sample reactive pathways via biased molecular dynamics simulations in trajectory space. We show that the use of enhanced sampling techniques enables unconstrained exploration of multiple reaction routes. Time…

Computational Physics · Physics 2020-07-15 Davide Mandelli , Barak Hirshberg , Michele Parrinello

We consider Adaptively Restrained Langevin dynamics, in which the kinetic energy function vanishes for small velocities. Properly parameterized, this dynamics makes it possible to reduce the computational complexity of updating…

Statistical Mechanics · Physics 2017-03-28 Zofia Trstanova , Stephane Redon

Although resetting has widespread applicability, applying it to the dynamics in the presence of spatial quenched disorder, which is essential in many physical problems, is challenging. In this study, we consider a well-known one-dimensional…

Statistical Mechanics · Physics 2026-04-06 Riya Verma , Binayak Banerjee , Shamik Gupta , Saroj Kumar Nandi

Enhanced sampling algorithms have emerged as powerful methods to extend the utility of molecular dynamics simulations and allow the sampling of larger portions of the configuration space of complex systems in a given amount of simulation…

Statistical Mechanics · Physics 2022-12-19 Jérôme Hénin , Tony Lelièvre , Michael R. Shirts , Omar Valsson , Lucie Delemotte

Multistage stochastic programming is a powerful tool allowing decision-makers to revise their decisions at each stage based on the realized uncertainty. However, in practice, organizations are not able to be fully flexible, as decisions…

Optimization and Control · Mathematics 2024-01-17 Sezen Ece Kayacık , Beste Basciftci , Albert H Schrotenboer , Evrim Ursavas

Stacking (or stacked generalization) is an ensemble learning method with one main distinctiveness from the rest: even though several base models are trained on the original data set, their predictions are further used as input data for one…

Machine Learning · Computer Science 2024-04-19 Ilya Ploshchik , Angelos Chatzimparmpas , Andreas Kerren

All-atom molecular dynamics has been recently proven a useful tool for the study of supramolecular polymers. While the high resolution offered by the atomistic models may allow for deep comprehension of the assembled structure, obtaining a…

Soft Condensed Matter · Physics 2018-04-20 Davide Bochicchio , Giovanni M. Pavan

In molecular dynamics simulations, rare events, such as protein folding, are typically studied using enhanced sampling techniques, most of which are based on the definition of a collective variable (CV) along which acceleration occurs.…

Chemical Physics · Physics 2024-07-22 Soojung Yang , Juno Nam , Johannes C. B. Dietschreit , Rafael Gómez-Bombarelli

We propose a new method to obtain kinetic properties of infrequent events from molecular dynamics simulation. The procedure employs a recently introduced variational approach [Valsson and Parrinello, Phys. Rev. Lett. 113, 090601 (2014)] to…

Statistical Mechanics · Physics 2015-08-19 James McCarty , Omar Valsson , Pratyush Tiwary , Michele Parrinello

This paper presents a pre-processing and a distance which improve the performance of machine learning algorithms working on independent and identically distributed stochastic processes. We introduce a novel non-parametric approach to…

Machine Learning · Computer Science 2015-09-04 Gautier Marti , Philippe Very , Philippe Donnat

Molecular simulations can provide microscopic insight into the physical and chemical driving forces of complex molecular processes. Despite continued advancement of simulation methodology, model errors may lead to inconsistencies between…

Chemical Physics · Physics 2016-02-12 Joseph F. Rudzinski , Kurt Kremer , Tristan Bereau

We present a method for determining the free energy dependence on a selected number of collective variables using an adaptive bias. The formalism provides a unified description which has metadynamics and canonical sampling as limiting…

Statistical Mechanics · Physics 2008-03-31 Alessandro Barducci , Giovanni Bussi , Michele Parrinello

Several enhanced sampling techniques rely on the definition of collective variables to effectively explore free energy landscapes. Existing variables that describe the progression along a reactive pathway offer an elegant solution but face…

Chemical Physics · Physics 2024-02-05 Thorben Fröhlking , Luigi Bonati , Valerio Rizzi , Francesco Luigi Gervasio

We introduce a path sampling method for obtaining statistical properties of an arbitrary stochastic dynamics. The method works by decomposing a trajectory in time, estimating the probability of satisfying a progress constraint, modifying…

Statistical Mechanics · Physics 2015-06-04 Nicholas Guttenberg , Aaron R. Dinner , Jonathan Weare

Stochastic processes have found numerous applications in science, as they are broadly used to model a variety of natural phenomena. Due to their intrinsic randomness and uncertainty, they are, however, difficult to characterize. Here, we…

Synthetic augmentation is increasingly used to mitigate data scarcity in financial machine learning, yet its statistical role remains poorly understood. We formalize synthetic augmentation as a modification of the effective training…

Artificial Intelligence · Computer Science 2026-04-17 Mel Sohm , Charles Dezons , Sami Sellami , Oscar Ninou , Axel Pincon

Molecular systems often remain trapped for long times around some local minimum of the potential energy function, before switching to another one -- a behavior known as metastability. Simulating transition paths linking one metastable state…

Machine Learning · Statistics 2023-02-02 Tony Lelièvre , Geneviève Robin , Inass Sekkat , Gabriel Stoltz , Gabriel Victorino Cardoso
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