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We propose a method for efficient simulations in extended ensembles, useful, e.g., for the study of problems with complex energy landscapes and for free energy calculations. The main difficulty in such simulations is the estimation of the a…

Statistical Mechanics · Physics 2012-05-29 Jack Lidmar

Excited states exhibiting double excitation character are notoriously difficult to model using conventional single-reference methods, such as adiabatic time-dependent density-functional theory (TD-DFT) or equation-of-motion coupled cluster…

We study the free energy landscape of the small peptide Met-enkephalin. Our data were obtained from a generalized-ensemble Monte Carlo simulation taking the interactions among all atoms into account. We show that the free energy landscape…

Condensed Matter · Physics 2007-05-23 U. H. E. Hansmann , Y. Okamoto , J. Onuchic

We introduce and analyze free energy landscapes defined by associating to any point inside the sphere a free energy calculated on a thin spherical band around it, using many orthogonal replicas. This allows us to reinterpret, rigorously…

Probability · Mathematics 2023-05-23 Eliran Subag

We analyze a microscopic RNA model, which includes two widely used models as limiting cases, namely it contains terms for bond as well as for stacking energies. We numerically investigate possible changes in the qualitative and quantitative…

Quantitative Methods · Quantitative Biology 2009-11-10 Bernd Burghardt , Alexander K. Hartmann

Experience replay \citep{lin1993reinforcement, mnih2015human} is a widely used technique to achieve efficient use of data and improved performance in RL algorithms. In experience replay, past transitions are stored in a memory buffer and…

Machine Learning · Computer Science 2021-12-09 Liran Szlak , Ohad Shamir

We present a methodology for accelerating the estimation of the free energy from path integral Monte Carlo simulations by considering an intermediate artificial reference system where interactions are inexpensive to evaluate numerically.…

Imbalances in covariates between treatment groups are frequent in observational studies and can lead to biased comparisons. Various adjustment methods can be employed to correct these biases in the context of multi-level treatments ($>$ 2).…

Applications · Statistics 2021-06-04 Diop S. Arona , Duchesne Thierry , Cumming Steven , Diop Awa , Talbot Denis

Although machine-learning potentials have recently had substantial impact on molecular simulations, the construction of a robust training set can still become a limiting factor, especially due to the requirement of a reference ab initio…

Chemical Physics · Physics 2023-03-29 Krystof Brezina , Hubert Beck , Ondrej Marsalek

Protein folding cooperativity is defined by the nature of the finite-size thermodynamic transition exhibited upon folding: two-state transitions show a free energy barrier between the folded and unfolded ensembles, while downhill folding is…

Biomolecules · Quantitative Biology 2017-08-23 Tristan Bereau , Michael Bachmann , Markus Deserno

The computational study of conformational transitions in RNA and proteins with atomistic molecular dynamics often requires suitable enhanced sampling techniques. We here introduce a novel method where concurrent metadynamics are integrated…

Computational Physics · Physics 2015-09-01 Alejandro Gil-Ley , Giovanni Bussi

In this paper, we revisit the regret of undiscounted reinforcement learning in MDPs with a birth and death structure. Specifically, we consider a controlled queue with impatient jobs and the main objective is to optimize a trade-off between…

Machine Learning · Computer Science 2023-02-22 Jonatha Anselmi , Bruno Gaujal , Louis-Sébastien Rebuffi

The interplay of electronic and nuclear degrees of freedom presents an outstanding problem in condensed matter physics and chemistry. Computational challenges arise especially for large systems, long time scales, in nonequilibrium, or in…

Strongly Correlated Electrons · Physics 2024-02-14 Arne Schobert , Jan Berges , Erik G. C. P. van Loon , Michael A. Sentef , Sergey Brener , Mariana Rossi , Tim O. Wehling

A system of neutral atoms trapped in an optical lattice and dispersively coupled to the field of an optical cavity can realize a variation of the Bose-Hubbard model with infinite-range interactions. This model exhibits a first order quantum…

Quantum Physics · Physics 2018-02-09 Sascha Wald , Andre Timpanaro , Cecilia Cormick , Gabriel T. Landi

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 the paradigm of multi-task learning, mul- tiple related prediction tasks are learned jointly, sharing information across the tasks. We propose a framework for multi-task learn- ing that enables one to selectively share the information…

Machine Learning · Computer Science 2012-07-03 Abhishek Kumar , Hal Daume

The wrapping equilibria of one and two adsorbing cylinders are studied along a semi-flexible filament (polymer) due to the interplay between elastic rigidity and short-range adhesive energy between the cylinder and the filament. We show…

Soft Condensed Matter · Physics 2015-06-05 David S. Dean , Thomas C. Hammant , Ronald R. Horgan , Ali Naji , Rudolf Podgornik

Finding collective variables to describe some important coarse-grained information on physical systems, in particular metastable states, remains a key issue in molecular dynamics. Recently, machine learning techniques have been intensively…

Chemical Physics · Physics 2024-03-15 Tony Lelièvre , Thomas Pigeon , Gabriel Stoltz , Wei Zhang

Identifying minimum-energy paths (MEPs) is crucial for understanding chemical reaction mechanisms but remains computationally demanding. We introduce MEPIN, a scalable machine-learning method for efficiently predicting MEPs from reactant…

Chemical Physics · Physics 2026-02-18 Juno Nam , Miguel Steiner , Max Misterka , Soojung Yang , Avni Singhal , Rafael Gómez-Bombarelli

Relaxation phenomena in glasses can be related to jump processes between different minima of the potential energy in the configuration space. These transitions play a key role in the low temperature regime, giving rise to tunneling systems…

Disordered Systems and Neural Networks · Physics 2015-06-25 Claudio Brangian , Oreste Pilla , Gabriele Viliani