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We introduce a variational algorithm based on Matrix Product States that is trained by minimizing a generalized free energy defined using Tsallis entropy instead of the standard Gibbs entropy. As a result, our model can generate the…

Discrepancies play an important role in the study of uniformity properties of point sets. Their probability distributions are a help in the analysis of the efficiency of the Quasi Monte Carlo method of numerical integration, which uses…

高能物理 - 唯象学 · 物理学 2007-05-23 A. F. W. van Hameren

For the purpose of Monte Carlo scenario generation, we propose a graphical model for the joint distribution of wind power and electricity demand in a given region. To conform with the practice in the electric power industry, we assume that…

统计方法学 · 统计学 2021-11-30 René Carmona , Xinshuo Yang

We present a statistical method for complex energy landscape exploration which provides information on the metastable states--or valleys--actually explored by an unperturbed aging process following a quench. Energy fluctuations of record…

统计力学 · 物理学 2009-11-10 Jesper Dall , Paolo Sibani

The phase diagram of correlated, disordered electron systems is calculated within dynamical mean-field theory for the Anderson-Falicov-Kimball model with nearest-neighbors and next-nearest-neighbors hopping. The half-filled band is analyzed…

强关联电子 · 物理学 2009-11-13 D. O. Maionchi , A. M. C. Souza , H. J. Herrmann , R. N. da Costa Filho

In this paper, we propose an efficient importance sampling algorithm for rare event simulation under copula models. In the algorithm, the derived optimal probability measure is based on the criterion of minimizing the variance of the…

统计计算 · 统计学 2025-04-07 Siang Cheng , Cheng-Der Fuh , Tianxiao Pang

The weak coupling asymptotics to order $\gamma$ of the ground state energy of the delta-function Fermi gas, derived heuristically in the literature, is here made rigorous. Further asymptotics are in principle computable. The analysis…

数学物理 · 物理学 2017-01-09 Craig A. Tracy , Harold Widom

We study a classical fully-frustrated honeycomb lattice Ising model using Markov chain Monte Carlo methods and exact calculations . The Hamiltonian realizes a degenerate ground state manifold of equal-energy states, where each hexagonal…

统计力学 · 物理学 2009-06-02 Shawn Andrews , Hans De Sterck , Stephen Inglis , Roger G. Melko

We present an algorithm for finding ground states of two dimensional spin glass systems based on ideas from matrix product states in quantum information theory. The algorithm works directly at zero temperature and defines an approximate…

无序系统与神经网络 · 物理学 2009-11-13 M. B. Hastings

The variational and diffusion quantum Monte Carlo methods are used to calculate the correlation energy of the paramagnetic three-dimensional homogeneous electron gas at intermediate to high density. Ground state energies in finite cells are…

强关联电子 · 物理学 2023-03-29 Sam Azadi , N. D. Drummond , S. M. Vinko

The upper tail of a claim size distribution of a property line of business is frequently modelled by Pareto distribution. However, the upper tail does not need to be Pareto distributed, extraordinary shapes are possible. Here, the…

统计方法学 · 统计学 2020-02-19 Mathias Raschke

We study numerically the structure of metastable states in the Sherrington-Kirkpatrick spin glass. We find that all non-paramagnetic stationary points of the free energy are organized into pairs, consisting in a minimum and a saddle of…

统计力学 · 物理学 2009-11-10 Andrea Cavagna , Irene Giardina , Giorgio Parisi

We introduce a Monte Carlo algorithm to efficiently compute transport properties of chaotic dynamical systems. Our method exploits the importance sampling technique that favors trajectories in the tail of the distribution of displacements,…

统计力学 · 物理学 2018-05-25 Diego Tapias , David P. Sanders , Eduardo G. Altmann

Using numerical simulations, we investigate the distribution of Kondo temperatures at the Anderson transition. In agreement with previous work, we find that the distribution has a long tail at small Kondo temperatures. Recently, an…

介观与纳米尺度物理 · 物理学 2020-01-10 Keith Slevin , Stefan Kettemann , Tomi Ohtsuki

The ground-state energy of the Hubbard model on a Bethe lattice with infinite connectivity at half filling is calculated for the insulating phase. Using Kohn's transformation to derive an effective Hamiltonian for the strong-coupling limit,…

强关联电子 · 物理学 2012-04-24 Eva Kalinowski , Władysław Gluza

Achieving high efficiency in modern photorealistic rendering hinges on using Monte Carlo sampling distributions that closely approximate the illumination integral estimated for every pixel. Samples are typically generated from a set of…

计算机视觉与模式识别 · 计算机科学 2024-10-08 Joey Litalien , Miloš Hašan , Fujun Luan , Krishna Mullia , Iliyan Georgiev

In quantum spin systems obeying hyperscaling, the probability distribution of the total magnetization takes on a universal scaling form at criticality. We obtain this scaling function exactly for the ground state and first excited state of…

统计力学 · 物理学 2009-11-13 Austen Lamacraft , Paul Fendley

Galam reshuffling introduced in opinion dynamics models is investigated under the nearest neighbor Ising model on a square lattice using Monte Carlo simulations. While the corresponding Galam analytical critical temperature T_C \approx 3.09…

统计力学 · 物理学 2007-05-23 A. O. Sousa , K. Malarz , S. Galam

We study the probability distribution of the pseudo-critical temperature in a mean-field and in a short-range spin-glass model: the Sherrington-Kirkpatrick (SK) and the Edwards-Anderson (EA) model. In both cases, we put in evidence the…

无序系统与神经网络 · 物理学 2014-09-09 Michele Castellana , Aurelien Decelle , Elia Zarinelli

We develop a quantum Monte Carlo method to estimate the ground-state energy of a fermionic many-particle system in the configuration-interaction shell model approach. The fermionic sign problem is circumvented by using a guiding wave…

核理论 · 物理学 2015-06-15 Abhishek Mukherjee , Y. Alhassid