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We present an efficient sampling method for computing a partition function and accelerating configuration sampling. The method performs a random walk in the $\lambda$ space, with $\lambda$ being any thermodynamic variable that characterizes…

Computational Physics · Physics 2010-03-02 Cheng Zhang , Jianpeng Ma

We present algorithmic improvements for fast and memory-efficient use of discrete spatial symmetries in Exact Diagonalization computations of quantum many-body systems. These techniques allow us to work flexibly in the reduced basis of…

Strongly Correlated Electrons · Physics 2018-10-05 Alexander Wietek , Andreas M. Läuchli

We present an algorithm for cluster dynamics to efficiently simulate large systems on MIMD parallel computers with large numbers of processors. The method divides physical space into rectangular cells which are assigned to processors and…

High Energy Physics - Lattice · Physics 2009-10-22 Mike Flanigan , Pablo Tamayo

As far as we know, there is no flat-histogram algorithm to sample the stationary distribution of non-equilibrium stochastic processes. The present work addresses this gap by introducing a generalization of the Wang-Landau algorithm, applied…

Statistical Mechanics · Physics 2026-02-27 L. M. C. Alencar , T. F. A. Alves , G. A. Alves , F. W. S. Lima , A. Macedo-Filho , R. S. Ferreira

The Landau-Lifshitz equation governing magnetization dynamics is written in terms of the amplitudes of normal modes associated with the micromagnetic system's appropriate ground state. This results in a system of nonlinear ordinary…

Other Condensed Matter · Physics 2022-01-19 S. Perna , F. Bruckner , C. Serpico , D. Suess , M. d'Aquino

Monte Carlo simulations using Wang-Landau sampling are performed to study three-dimensional chains of homopolymers on a lattice. We confirm the accuracy of the method by calculating the thermodynamic properties of this system. Our results…

Statistical Mechanics · Physics 2016-08-16 A. G. Cunha Netto , C. J. Silva , A. A. Caparica , R. Dickman

Particle-wall interactions play a crucially important role in various applications such as microfluidic devices for cell sorting, particle separation, entire class of hydrodynamic filtration and its derivatives, etc. Yet, accurate…

Fluid Dynamics · Physics 2025-03-18 Aryan Mehboudi , Shrawan Singhal , S. V. Sreenivasan

It has been shown that a class of probabilistic domain models cannot be learned correctly by several existing algorithms which employ a single-link look ahead search. When a multi-link look ahead search is used, the computational complexity…

Artificial Intelligence · Computer Science 2013-02-08 TongSheng Chu , Yang Xiang

In this short note, we show how the parallel adaptive Wang-Landau (PAWL) algorithm of Bornn et al. (2013) can be used to automate and improve simulated tempering algorithms. While Wang-Landau and other stochastic approximation methods have…

Computation · Statistics 2013-05-23 Luke Bornn

Wang-Landau sampling (WLS) of large systems requires dividing the energy range into "windows" and joining the results of simulations in each window. The resulting density of states (and associated thermodynamic functions) are shown to…

Statistical Mechanics · Physics 2009-11-13 A. G. Cunha-Netto , A. A. Caparica , Shan-Ho Tsai , Ronald Dickman , D. P. Landau

We determine the optimal scaling of local-update flat-histogram methods with system size by using a perfect flat-histogram scheme based on the exact density of states of 2D Ising models.The typical tunneling time needed to sample the entire…

Statistical Mechanics · Physics 2007-05-23 P. Dayal , S. Trebst , S. Wessel , D. Wuertz , M. Troyer , S. Sabhapandit , S. N. Coppersmith

This paper studies the utility of using data analytics and machine learning techniques for identifying, classifying, and characterizing the dynamics of large-scale parallel (MPI) programs. To this end, we run microbenchmarks and realistic…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-06 Ayesha Afzal , Georg Hager , Gerhard Wellein , Stefano Markidis

We implement a Wang-Landau sampling technique in quantum Monte Carlo (QMC) for the purpose of calculating the Renyi entanglement entropies and associated mutual information. The algorithm converges an estimate for an analogue to the density…

Statistical Mechanics · Physics 2013-01-23 Stephen Inglis , Roger G. Melko

This paper presents an algorithm for sampling random variables that allows to separation of the sampling process into subproblems by dividing the sample space into overlapping parts. The subproblems can be solved independently of each other…

Computation · Statistics 2016-01-26 Jonas Hallgren , Timo Koski

Machine learning potentials have achieved great success in accelerating atomistic simulations. Many of them relying on atom-centered local descriptors are natural for parallelization. More recent message passing neural network (MPNN) models…

Chemical Physics · Physics 2025-06-10 Junfan Xia , Bin Jiang

We present a new Monte Carlo algorithm that produces results of high accuracy with reduced simulational effort. Independent random walks are performed (concurrently or serially) in different, restricted ranges of energy, and the resultant…

Statistical Mechanics · Physics 2009-10-31 Fugao Wang , D. P. Landau

We analyze the efficiency of the Wang-Landau algorithm to sample a multimodal distribution on a prototypical simple test case. We show that the exit time from a metastable state is much smaller for the Wang Landau dynamics than for the…

Numerical Analysis · Mathematics 2014-02-11 G. Fort , B. Jourdain , E. Kuhn , T Lelièvre , G. Stoltz

Performing multiple computations within the same system, without spatial or temporal separation of tasks, requires encoding multiple data items into a well-defined physical state. The most widely explored mechanism for such encoding is the…

Emerging Technologies · Computer Science 2026-05-07 Mikhail Erementchouk , Pinaki Mazumder

A finite element method is presented to compute time harmonic microwave fields in three dimensional configurations. Nodal-based finite elements have been coupled with an absorbing boundary condition to solve open boundary problems. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Christian Vollaire , Laurent Nicolas , Alain Nicolas

We show that the Wang-Landau algorithm can be formulated as a stochastic gradient descent algorithm minimizing a smooth and convex objective function, of which the gradient is estimated using Markov chain Monte Carlo iterations. The…

Computation · Statistics 2020-03-11 Chenguang Dai , Jun S. Liu