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We briefly review simulation schemes for the investigation of rare transitions and we resume the recently introduced Transition Interface Sampling, a method in which the computation of rate constants is recast into the computation of fluxes…

Statistical Mechanics · Physics 2009-11-10 Daniele Moroni , Titus S. van Erp , Peter G. Bolhuis

Temperature Accelerated Sliced Sampling (TASS) is an efficient method to compute high dimensional free energy landscapes. The original TASS method employs the Weighted Histogram Analysis Method (WHAM) which is an iterative post-processing…

Computational Physics · Physics 2021-10-18 Asit Pal , Subhendu Pal , Shivani Verma , Motoyuki Shiga , Nisanth N. Nair

We introduce a straightforward, single-ensemble, path sampling approach to calculate free energy differences based on Jarzynski's relation. For a two-dimensional ``toy'' test system, the new (minimally optimized) method performs roughly one…

Computational Physics · Physics 2009-11-10 F. Marty Ytreberg , Daniel M. Zuckerman

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

When studying high-dimensional dynamical systems such as macromolecules, quantum systems and polymers, a prime concern is the identification of the most probable states and their stationary probabilities or free energies. Often, these…

Data Analysis, Statistics and Probability · Physics 2013-01-01 Hao Wu , Frank Noé

We present a method to explore the free energy landscapes of chemical reactions with post-transition-state bifurcations using an enhanced sampling method based on well-tempered metadynamics. Obviating the need for computationally expensive…

Chemical Physics · Physics 2023-04-18 Juno Nam , YounJoon Jung

Cell-penetrating peptides (CPPs) have been widely used for drug-delivery agents; however, it has not been fully understood how they translocate across cell membranes. The Weighted Ensemble (WE) method, one of powerful and flexible path…

Biomolecules · Quantitative Biology 2021-12-20 Seungho Choe

We introduce a path sampling method for the computation of rate constants for systems with a highly diffusive character. Based on the recently developed algorithm of transition interface sampling (TIS) this procedure increases the…

Statistical Mechanics · Physics 2009-11-10 Daniele Moroni , Peter G. Bolhuis , Titus S. van Erp

With the increased penetrations of distributed energy resources (DERs), the need for integrated transmission and distribution system analysis (T&D) is imperative. This paper presents an integrated unbalanced T&D analysis framework using an…

Systems and Control · Electrical Eng. & Systems 2020-07-15 Gayathri Krishnamoorthy , Anamika Dubey

Temperature-accelerated sliced sampling (TASS) is a well-established enhanced sampling method that facilitates exhaustive exploration of high-dimensional collective variable (CV) space through directed sampling employing a combination of…

Chemical Physics · Physics 2025-09-08 Sameer Saurav , Debjit Das , Ramsha Javed , Nisanth N. Nair

We present a detailed comparison of computational efficiency and precision for several free energy difference ($\Delta F$) methods. The analysis includes both equilibrium and non-equilibrium approaches, and distinguishes between…

Biological Physics · Physics 2009-11-11 F. Marty Ytreberg , Robert H. Swendsen , Daniel M. Zuckerman

A novel and powerful method is presented for the study of rare switching events in complex systems with multiscale energy landscapes. The method performs an umbrella sampling of the equilibrium distribution of the system in hyperplanes…

Condensed Matter · Physics 2007-05-23 Weinan E , Weiqing Ren , Eric Vanden-Eijnden

Many chemical reactions can be formulated in terms of particle diffusion in a complex energy landscape. Transition path theory (TPT) is a theoretical framework for describing the direct (reaction) pathways from reactant to product states…

Statistical Mechanics · Physics 2023-10-03 Paul C Bressloff

Variational inference in probabilistic graphical models aims to approximate fundamental quantities such as marginal distributions and the partition function. Popular approaches are the Bethe approximation, tree-reweighted, and other types…

Machine Learning · Statistics 2025-02-06 Harald Leisenberger , Franz Pernkopf

Full-field traffic state information (i.e., flow, speed, and density) is critical for the successful operation of Intelligent Transportation Systems (ITS) on freeways. However, incomplete traffic information tends to be directly collected…

Machine Learning · Computer Science 2023-04-13 Zhao Zhang , Ding Zhao , Xianfeng Terry Yang

Biased sampling of collective variables is widely used to accelerate rare events in molecular simulations and to explore free energy surfaces. However, computational efficiency of these methods decreases with increasing number of collective…

Chemical Physics · Physics 2017-04-05 Shalini Awasthi , Nisanth N. Nair

We investigate the transport of intensity equation (TIE) and the transport of phase equation (TPE) for solving the phase retrieval problem. Both the TIE and the TPE are derived from the paraxial Helmholtz equation and relate phase…

Numerical Analysis · Mathematics 2024-07-29 Clemens Kirisits , Kemal Raik , Otmar Scherzer , Christina Strohmenger , Jikai Yan

We investigate the sampling efficiency for the simulations of quantum many-body systems at finite temperatures when initial sampling states are generated by applying Trotter gates to random phase product states (RPPSs). We restrict the…

Quantum Physics · Physics 2023-01-31 Shimpei Goto , Ryui Kaneko , Ippei Danshita

Methods that combine collective variable (CV) based enhanced sampling and global tempering approaches are used in speeding-up the conformational sampling and free energy calculation of large and soft systems with a plethora of energy…

Computational Physics · Physics 2021-09-01 Anji Babu Kapakayala , Nisanth N. Nair

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