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We use Monte Carlo simulations to study ${\rm Ni Fe_2O_4}$ nanoparticles. Finite size and surface effects differentiate them from their bulk counterparts. A continuous version of the Wang-Landau algorithm is used to calculate the joint…

Statistical Mechanics · Physics 2009-11-11 Chenggang Zhou , T. C. Schulthess , D. P. Landau

This paper discusses some convergence properties in the entropic sampling Monte Carlo methods with multiple random walkers, particularly in the Wang-Landau (WL) and $1/t$ algorithms. The classical algorithms are modified by the use of $m$…

Statistical Mechanics · Physics 2016-06-22 R. E. Belardinelli , V. D. Pereyra

The local density of states \rho(x,E) is calculated for a Bloch electron in an electric field. Depending on the system size, we can see one or more sequences of Wannier-Stark ladders in \rho(x,E), with Lorentz type level widths and apparent…

Condensed Matter · Physics 2009-10-22 M. C. Chang , Q. Niu

This paper presents a strategy for efficient quantum circuit design for density estimation. The strategy is based on a quantum-inspired algorithm for density estimation and a circuit optimisation routine based on memetic algorithms. The…

In this paper, we present a density estimation framework based on tree tensor-network states. The proposed method consists of determining the tree topology with Chow-Liu algorithm, and obtaining a linear system of equations that defines the…

Machine Learning · Statistics 2022-09-07 Xun Tang , Yoonhaeng Hur , Yuehaw Khoo , Lexing Ying

Finite density quantum field theories have evaded first principle Monte-Carlo simulations due to the notorious sign-problem. The partition function of such theories appears as the Fourier transform of the generalised density-of-states,…

High Energy Physics - Lattice · Physics 2015-09-02 K. Langfeld , B. Lucini , A. Rago , R. Pellegrini , L. Bongiovanni

Estimating the density of states of systems with rugged free energy landscapes is a notoriously difficult task of the utmost importance in many areas of physics ranging from spin glasses to biopolymers. Density of states estimation has also…

Statistical Mechanics · Physics 2019-07-31 Lev Barash , Jeffrey Marshall , Martin Weigel , Itay Hen

The development of new algorithms for simulations in physics is as important as the development of new analytical methods. In this paper, we present a comparison of the recently developed microcanonical population annealing (MCPA) algorithm…

Statistical Mechanics · Physics 2024-10-21 Vyacheslav Mozolenko , Marina Fadeeva , Lev Shchur

We develop a self-consistent first-principle method based on the density functional theory. Physical quantities, such as the density of states, Fermi energy and electron density are obtained using a time-dependent random state method…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Weiqing Zhou , Shengjun Yuan

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

We present a four-dimensional equation of state for strongly interacting matter at finite temperature and conserved charge densities, constructed using a deep neural network. It is designed for direct use in hybrid models of relativistic…

High Energy Physics - Phenomenology · Physics 2026-05-22 Musfer Adzhymambetov

The output distribution of a neural network (NN) over the entire input space captures the complete input-output mapping relationship, offering insights toward a more comprehensive NN understanding. Exhaustive enumeration or traditional…

Artificial Intelligence · Computer Science 2023-02-22 Weitang Liu , Ying-Wai Li , Yi-Zhuang You , Jingbo Shang

We introduce a new sequential methodology to calibrate the fixed parameters and track the stochastic dynamical variables of a state-space system. The proposed method is based on the nested hybrid filtering (NHF) framework of [1], that…

Computation · Statistics 2021-03-24 Sara Pérez-Vieites , Joaquín Míguez

Classical probability distributions on sets of sequences can be modeled using quantum states. Here, we do so with a quantum state that is pure and entangled. Because it is entangled, the reduced densities that describe subsystems also carry…

Quantum Physics · Physics 2020-12-10 Tai-Danae Bradley , E. Miles Stoudenmire , John Terilla

We provide an efficient method for computing the maximum likelihood mixed quantum state (with density matrix $\rho$) given a set of measurement outcome in a complete orthonormal operator basis subject to Gaussian noise. Our method works by…

Quantum Physics · Physics 2022-04-29 John A. Smolin , Jay M. Gambetta , Graeme Smith

This paper is concerned with an important issue in finite mixture modelling, the selection of the number of mixing components. We propose a new penalized likelihood method for model selection of finite multivariate Gaussian mixture models.…

Methodology · Statistics 2013-01-17 Tao Huang , Heng Peng , Kun Zhang

We present a supervised machine learning-based method using convolutional neural networks to estimate the covariance matrix of Gaussian quantum states in the presence of thermal noise. Unlike computationally intensive density matrix…

Artificial neural networks have been recently introduced as a general ansatz to compactly represent many- body wave functions. In conjunction with Variational Monte Carlo, this ansatz has been applied to find Hamil- tonian ground states and…

Strongly Correlated Electrons · Physics 2018-10-24 Kenny Choo , Giuseppe Carleo , Nicolas Regnault , Titus Neupert

We present a method for approximating the many-body density of states of a system of quantum identical particles, with a reduction of the computational cost by a combinatorial factor compared to the full calculation. This is carried out by…

Quantum Physics · Physics 2026-05-05 Hovan Lee , Rémi Lefèvre , Grégoire Ithier

Evaporation/condensation transition of the Potts model on square lattice is numerically investigated by the Wang-Landau sampling method. Intrinsically system size dependent discrete transition between supersaturation state and…

Statistical Mechanics · Physics 2011-12-13 Tomoaki Nogawa , Nobuyasu Ito , Hiroshi Watanabe